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  • 101
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    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 91 (1989), S. 5701-5706 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: The adsorption of NO on Ag(111) at 80 K has been studied by high resolution electron energy loss spectroscopy (HREELS) and thermal desorption spectroscopy (TDS). At low exposures (≤0.05 L) NO is adsorbed in part dissociatively and in part molecularly in two different threefold bridge states (in upright and bent or tilted orientation with respect to the surface normal). The NO molecules in the threefold bridge position are desorbed at 100 K. With increasing exposure the desorption temperature shifts gradually to 110 K. At medium exposures (∼0.13 L) additional NO is adsorbed molecularly in an atop position with an upright orientation in admixture with atomic N and O and molecular NO adsorbed in threefold bridge states. The NO molecules adsorbed in atop position are weakly bonded on the surface and are desorbed at about 90 K. Simultaneously, N2O is formed and adsorbed on the surface. At saturation a new bent or tilted NO species in atop position appears on the surface and the amount of N2O significantly increases. The N2O molecules are desorbed at 90, 110, and 190 K. At saturation all the NO and NO-derived species (the threefold bridge and atop states, N2O and atomic oxygen and nitrogen) coexist on Ag(111).
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  • 102
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    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 91 (1989), S. 1762-1774 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: Nonrelativistic and relativistic Hartree–Fock (HF) and configuration interaction (CI) calculations have been performed in order to analyze the relativistic and correlation effects in various diatomic gold compounds. It is found that relativistic effects reverse the trend in most molecular properties down the group (11). The consequences for gold chemistry are described. Relativistic bond stabilizations or destabilizations are dependent on the electronegativity of the ligand, showing the largest bond destabilization for AuF (86 kJ/mol at the CI level) and the largest stabilization for AuLi (−174 kJ/mol). Relativistic bond contractions lie between 1.09 (AuH+) and 0.16 A(ring) (AuF). Relativistic effects of various other properties are discussed. A number of as yet unmeasured spectroscopic properties, such as bondlengths (re), dissociation energies (De), force constants (ke), and dipole moments (μe), are predicted.
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  • 103
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    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 91 (1989), S. 1783-1788 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: Geometry optimizations and band structure calculations are reported on two polymeric vinylene derivatives of pyrene: poly(1,6-pyrenylene vinylene) and poly(2,7-pyrenylene vinylene). The results are indicative of a dramatic sensitivity of the electronic structure on the mode of connection of the two vinylene units to the pyrene rings, in agreement with the chemist's intuition. An analysis of the atomic π orbital contributions to the one-electron wave functions shows that the HOMO–LUMO characteristics of both compounds are markedly different. The 1-6 mode of connection leads to an electronic structure similar to that of polyparaphenylene with a bandgap of 2.9 eV. The 2-7 mode of connection results in a significantly lower bandgap, around 1.7 eV, due to the stabilization of quinoid resonance structures.
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  • 104
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    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 91 (1989), S. 1796-1812 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: A theoretical study of the relationship between interatomic distances and the spectral positions of valence- and K-shell σ* photoionization resonances is reported for a selected series of molecules. Three-dimensional graphical representations of the occupied and virtual-valence σ-symmetry orbitals of these compounds reveal their striking similarity to the wave functions of a particle in a cylindrical well, substantiating qualitative notions long employed in free-electron molecular orbital (FEMO) approximations. Accordingly, the molecular potential along the symmetry axis in these compounds is modeled after a finite square well, with a depth approximately equal to the energy of the lowest σ-symmetry valence molecular orbital and a width determined from analogies to FEMO theory. Calculated minimal-basis-set molecular-orbital energies for both occupied and virtual states are seen to correlate accurately with the simple square-well energy level formula (π2 /2)(n2/l 2 ) when measured in Hartree atomic units from the bottom of the well. The calculated σ* orbital energies are furthermore in excellent agreement with experimentally and theoretically determined valence-shell photoionization resonance positions, the latter consequently also satisfying the square-well correlation formula. A similar situation obtains for experimentally and theoretically determined K-shell resonance positions, although energy shifts from minimal-basis values are evident in these cases. These circumstances are clarified quantitatively on basis of Feshbach–Fano considerations, in which minimal-basis-set virtual-valence σ* orbitals play the roles of zeroth-order states subject to modification by interactions with nonresonant background continua. Concluding remarks contrast and compare molecular-orbital and square-well approaches to photoionization resonances with those based on multiple-scattering and barrier models. The present results appear to clarify the origins of recently reported empirical correlations of bond lengths with resonance positions, and help to determine their range of applicability.
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  • 105
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    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 91 (1989), S. 1866-1874 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: The viscosity of a suspension of spherical Brownian particles is determined by Stokesian dynamics as a function of the Péclet number. Several new aspects concerning the theoretical derivation of the direct contribution of the Brownian motion to the bulk stress are given, along with the results obtained from a simulation of a monolayer. The simulations reproduce the experimental behavior generally observed in dense suspensions, and an explanation of this behavior is given by observing the evolution of the different contributions to the viscosity with shear rate. The shear thinning at low Péclet numbers is due to the disappearance of the direct Brownian contribution to the viscosity; the deformation of the equilibrium microstructure is, however, small. By contrast, at very high Péclet numbers the suspension shear thickens due to the formation of large clusters.
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  • 106
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    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 91 (1989), S. 1843-1854 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: The nature of long-range many-body interactions in metallic fluids is examined with emphasis on their possible role in the unique features of these systems observed near the liquid–vapor critical point. A reexamination of recent theoretical results demonstrating the existence of van der Waals forces between "pseudoatoms'' (ion cores and associated screening electrons) reveals a direct correspondence with dispersion forces in insulating systems. In the limit of high conduction electron number densities ρ, pseudoatoms have an effective frequency-dependent polarizability α(ω)=α(0)ω2p/(ω2p−ω2), where α(0)=z/4πρ, with z the ion valence, and ωp is the classical electron gas plasma frequency (4πρe2/m)1/2. It is the dynamic nature of the interactions (arising from fluctuations of the pseudoatoms) that permits such a long-range interaction to exist. The dimensionless parameter α(0)ρ which in insulating fluids characterizes the relative importance of triplet (Axilrod–Teller) to pair dispersion interactions is thus system independent and significantly larger than in nonmetallic fluids. The nature of this dynamic polarizability is further examined in the context of a transport theory for a classical plasma based on the Boltzmann equation. The statistical mechanics of fluctuating pseudoatoms at finite temperature is studied both for the metallic fluid and in the Wigner crystal. These various approaches suggest that the pseudoatom interaction may be viewed as a potential mediated by the exchange of plasmons, just as conventional van der Waals forces arise from the exchange of virtual excitations of atomic levels. A description of the critical point in terms of pseudoatom interactions appears to explain qualitatively the extreme liquid–vapor asymmetry of the coexistence curves of cesium and rubidium as arising from the magnitude of three-body interactions. Additionally, it suggests that the thermal energy at the critical point scales with the plasmon energy, consistent with experiment.
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  • 107
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    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 91 (1989), S. 1885-1896 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: A simple matrix method is given that generates the probability distribution for the coordinates of the end of a polymer chain (modeled as a random walk on a regular lattice with a finite range of intrachain correlation). From this information the exact end-to-end distance distribution can be constructed. The method can be applied to specific sequence copolymers and to the distance distribution for arbitrary points within a polymer chain.
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  • 108
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    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 91 (1989), S. 1252-1257 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: Recollision kinetic theory (RcKT) is applied to the calculation of the rotational friction coefficient of a hard nonspherical convex body in a dense fluid of hard spheres. The ratio of the rotational friction, fR , to its Enskog value, fER , is determined to be fR/fER(approximately-equal-to)1+1.06ρ* exp(5ρ*2), where ρ* is the packing fraction of the hard sphere solvent. RcKT accounts for the effect of caginglike correlated recollisions on molecular rotation. The above equation brings kinetic theory predictions of rotational friction and orientational correlation times into closer accord with experimental and molecular dynamics derived values.
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  • 109
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    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 91 (1989), S. 1261-1267 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: Molecular angular momentum polarization produced in molecule–surface interaction is investigated by studying the magnetic field effect on a Knudsen flow at temperatures between 78 and 695 K. The effects for H2, D2, HD, N2, and CH4 scattered from LiF (001) are found to be 2–3 orders of magnitude larger than previously observed for other surfaces. This is attributed to the large corrugation of the LiF crystal face, since the polarization type involved depends entirely on the existence of in-plane forces. The production matrix elements are found to be on the order 10−1–10−2. Both "alignment'' and "orientation'' type of polarization are produced. The data indicate that the production of alignment primarily stems from purely reorienting collisions (i.e., ΔmJ transitions with ΔJ=0) while orientation tends to be produced from rotationally inelastic collisions (i.e., transitions with ΔJ≠0). The off-center rotation of HD is found to play only a minor role in the nonspherical part of the interaction producing these polarizations.
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  • 110
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    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 91 (1989), S. 1287-1293 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: This work investigates the rotational dynamics of rigid and partially flexible macromolecules in solution by means of Brownian dynamics simulation techniques. In a previous study by Diaz et al. [J. Chem. Phys. 87, 6021 (1987)] on the rotational correlation functions of rigid models, the effect on rotational dynamics from pure rotations of the model's elements has been neglected due to the difficulty of introducing rotational constraints in the simulations. We present expressions for rotational constraints in a rigid dimer system, which makes it possible to completely describe the translational, rotational, and coupled translational–rotational motions for interacting spherical Brownian particles by employing the generalized algorithm of Dickinson et al. [J. Chem. Soc. Faraday Trans. 2 81, 591 (1985)]. Theoretical studies indicate, and our simulation calculations confirm, that the pure rotational effects are appreciable. The torque constraint expressions are verified by comparison of the simulation results to the exact analytical results for the rigid dimer system. The torque constraint expressions also allow us to examine the effects of flexibility on the rotational correlation functions for a dimer system.
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  • 111
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    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 91 (1989), S. 5793-5801 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: We have measured the rotational state distribution and the angular momentum alignment and orientation of N2 scattered from Ag(111) at 540 K. Using resonance enhanced multiphoton ionization (REMPI), we are able to probe the scattered flux as a function of the exit angle θexit. For a modestly glancing incident beam (θi =30°) and incident translational energy, Ei =0.3 eV, the angular momentum alignment (tumbling vs helicoptering) at both quasispecular detection (θexit=35°) and superspecular detection (θexit=50°) is only weakly dependent upon the surface temperature. However, the angular momentum orientation (clockwise vs counterclockwise rotation) is strongly affected by the surface temperature. Raising the surface temperature from Ts =90 K to Ts =540 K causes the orientation to decrease substantially. Stochastic trajectory calculations were carried out in conjunction with the experiments. They reveal that at low temperature there is an averaging over two important initial conditions: the two-dimensional impact parameter and the molecular orientation geometry. At high temperature there is also an averaging over the instantaneous positions and momenta of the surface atoms. Hence, a given two-dimensional impact parameter and molecular orientation geometry results in a greater range of final J states, angular momentum polarizations, and velocities (exit angles) at high temperature than at low temperature. The resulting "smearing'' accounts for the changes in rotational state distribution and polarization as a function of exit angle observed at high temperature. The major effect of averaging over the positions of the surface atoms (thermal roughening) upon the orientation of the scattered N2 is to increase the exit angle averaging rather than to increase the in-plane forces.
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  • 112
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    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 91 (1989), S. 5127-5129 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: By employing the computational methods of Jones and Muthukumar, and the hydrodynamic scattering formalism of Muthukumar and Freed, we have computed the rotational friction coefficients for a dilute suspension of spheres to first order in concentration. These results are compared with previous calculations.
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  • 113
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    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 91 (1989), S. 1351-1356 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: The growth and decay of radiation pressure induced (concentration) gratings (RPIGs) have been monitored by diffraction of a probe beam. In all cases the growth of diffracted intensity in the presence of radiation pressure followed a curve of the form I=I0 [1−exp(γt/τD )]2 where γ is a constant and τD is the characteristic time for diffusion. When the writing laser pulse was terminated, the decay of diffracted intensity was described by exp(−2t/τD ). The fitting parameter γ is equal to unity at low intensities and becomes linear in radiation intensity at high intensities. A simple equation relating γ to the ratio of the potential energy of a microsphere in the radiation field to its average kinetic energy has been derived. Diffusion coefficients can be determined from τD values even for turbid samples; however, errors were found when short path lengths (0.1 mm) were used. This is thought to result from particle-surface interactions under the influence of the scattering force.
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  • 114
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    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 91 (1989), S. 1379-1381 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
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  • 115
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    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 91 (1989), S. 1385-1385 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
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  • 116
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    The Journal of Chemical Physics 91 (1989), S. 646-654 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: The infrared spectra of the ν3, ν4, and ν6 bands of formaldehyde in the region from 890 cm−1 to 1580 cm−1 have been obtained at high resolution using tunable diode laser (TDL) and Fourier transform-infrared (FT-IR) spectroscopy. The transition frequencies have been analyzed using a Hamiltonian including terms through sextic in centrifugal distortion and including five interstate vibration–rotation coupling terms. Excited state pure rotational transitions are also included in the data, and their frequencies are reproduced well. Individual measured line intensities are used to determine dipole derivatives and band strengths using the fully coupled, asymmetric top eigenvectors.
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  • 117
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    The Journal of Chemical Physics 91 (1989), S. 674-682 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: Visible laser excitation (460–725 nm) of dilute rare gas/I2 (2000:1) matrices resulted in emission from the I2A 3Π(1u) state. Reanalysis of the A→X spectra provided revised molecular constants for matrix isolated I2. A state lifetimes of 70±20, 80±20, and 110±30 μs were observed in Ar, Kr, and Xe hosts, respectively. Excitation spectra for the A state closely followed the I2 continuum absorption spectrum, indicating that transfer from the B 3Π(0+u) and 1Π(1u) states was effective in populating I2(A). At dilution ratios of 600:1 or lower the I 2P1/2–2P3/2 transition was observed in conjunction with the A–X bands. Excitation studies showed that isolated I atoms, trapped during the deposition process, were excited by energy transfer from nearby I@B|2 molecules. A vibronic progression, similar to the A–X bands, but shifted to longer wavelengths, was noted in concentrated Rg/I2(300:1) matrices. This system, which was emitted with a lifetime of about 10 ms, most probably originated from perturbed I2 A' 3Π(2u). Intermolecular energy transfer was observed in matrices that contained I2 codeposited with O2. Electronic excitation of I2 resulted in a long-lived emission from O2 a 1Δg. Matrices containing high concentrations of iodine also exhibited O2(a)→I(2P1/2) transfer.
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  • 118
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    The Journal of Chemical Physics 91 (1989), S. 1137-1141 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: Energies and equilibrium geometries have been calculated for different structures of the C6 molecule, using multiconfiguration self-consistent-field (MCSCF) and multireference configuration interaction (MRCI) methods with large basis sets of ANO type. The ground state is linear with a cumulene-like electronic structure of 3Σ−g symmetry. This result is consistent with recent experimental findings, but disagrees with other recent ab initio calculations using perturbation methods.
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  • 119
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    The Journal of Chemical Physics 91 (1989), S. 1151-1166 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: Correlated, ab initio effective valence shell Hamiltonian (Hν) calculations of CH2 are used to test the pairwise additivity assumption of semiempirical electronic structure methods in which it is assumed that the one- and two-center semiempirical integrals in an atomic basis are independent on the molecular environment (except for the one-electron, one-center Coulomb integral). Computed ab initio Hν matrix elements are transformed into a molecule independent atomic basis and are analyzed as a function of bond length and bond angle. Large departures from the pairwise additivity assumption emerge for several classes of Hν matrix elements. The computed behavior is well represented by a spectator model for the influence of molecular environment on correlation contributions to individual Hν matrix elements. Tests are also made of the applicability of Mulliken type approximations to Hν integrals.
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  • 120
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    The Journal of Chemical Physics 91 (1989), S. 1179-1190 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: A theoretical scheme to evaluate the long-time effects of hydrogen bond fluctuations on water dynamics is carefully reexamined in the light of recent experimental results of quasielastic neutron scattering (QENS). A molecular dynamics computer simulation is also carried out on a fairly large (343 TIP4P molecules) sample and for a total time of (approximate)100 ps. at three temperatures. The length of the runs has allowed to obtain good results for a number of properties. Also the temperature dependence of the static dielectric constant agrees with the experimental data. Further, some crucial predictions of our theoretical model have been carefully checked. The prediction on the deviation from Fick's law is found to be in a satisfactory accord with the results of our computer simulation. The reasons for the less satisfactory agreement with the low-temperature results of QENS are discussed.
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  • 121
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    The Journal of Chemical Physics 91 (1989), S. 874-889 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: The log-derivative method of Johnson is generalized to calculate matrix elements of multichannel Green's functions—second-order transition amplitudes—which arise from description of a variety of physical processes involving weak interactions of initial and final (bound) states with a set of strongly coupled continuum and/or bound intermediate states. A purely approximate-solution algorithm and two hybrid approximate-solution approximate-potential versions, based on the use of piecewise constant reference potentials, are presented and tested on problems concerning investigations of nonadiabatic effects in the spectroscopy of H2. A comparison with the renormalized Numerov method, extended to calculation of considered transition amplitudes, is made and superior efficiency of the hybrid log-derivative algorithms is demonstrated. It is shown both practically and theoretically that discretization errors of the hybrid algorithms grow linearly with increasing energy in calculations, whereas cubic growth of errors with energy is characteristic for the purely approximate-solution log-derivative and Numerov algorithms.
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  • 122
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    The Journal of Chemical Physics 91 (1989), S. 906-916 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: The predicted dependence of the bimolecular rate constant for outer-sphere electron exchange kex upon the longitudinal relaxation time τL for Debye solvents is examined numerically on the basis of a suitably combined rate formulation in order to examine the manner and extent to which the rate-solvent friction dependence, of particular experimental significance, should be sensitive to the degree of donor–acceptor electronic coupling and related factors. The treatment accounts for the contributions to kex from a spatial distribution of reactant pairs as well as for the effects of donor–acceptor interactions upon the unimolecular rate constant, ket (s−1), for each encounter geometry. The latter include the influence of electronic interactions as prescribed by the matrix coupling element H12 upon the effective frequency for adiabatic barrier crossing νn, as well as upon the electronic transmission coefficient κel (i.e., the degree of reaction nonadiabaticity). The anticipated dependence of the free-energy barrier, as well as νn and κel, upon the donor–acceptor separation is accounted for in the kex calculations. The form of the resulting log kex −log τ−1L plots exhibit, as expected, a marked dependence on the value of H12 for reactant contact, H(open circle)12. Over the τ−1L range appropriate for common solvents at ambient temperatures, ∼1×1011 to 5×1012 s−1, the log kex −log τ−1L slopes, x, are significantly (or substantially) below unity for H(open circle)12(approximately-less-than)0.5 kcal mol−1; x decreases markedly with increasing τ−1L and/or for decreasing H(open circle)12. The approach to the solvent inertial limit (for large τ−1L) also tends to decrease x further. Numerical comparisons are made with corresponding log kex −log τ−1L plots obtained using the simple "encounter preequilibrium'' treatment which presumes that only a fixed narrow range of encounter-pair geometries contribute to kex. While the form of theplots are not greatly different, former more sophisticated treatment generally yields smaller slopes. Some corresponding numerical calculations for electrochemical-exchange reactions are also included.
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  • 123
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    The Journal of Chemical Physics 91 (1989), S. 953-962 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: Classical mechanics is used to compute the low resolution spectrum of Na3 in the chaotic regime. The regularity in the spectrum is shown to be due to a family of C2v symmetry tori involving a high amplitude breathing mode and a high amplitude bending mode. These tori are the two mode survivors of the three mode tori whose quantization gives the four assignable lower energy vibrational levels.
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  • 124
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    The Journal of Chemical Physics 91 (1989), S. 943-952 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: Studies of the photoisomerization of 4,4'-dimethylstilbene in n-alkane solvents are reported. As with similar studies it is possible to identify an activation barrier to isomerization and the viscosity dependence of the isomerization is not adequately explained by a one-dimensional hydrodynamic Kramers equation. Comparison of the isomerization rates with those of other stilbenes suggests that the use of a frequency dependent friction for the solvent does not consistently explain the data. These results and those of other stilbenes can be explained by a two-dimensional isomerization coordinate where the reaction trajectory is linked to the solvent viscosity.
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  • 125
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    The Journal of Chemical Physics 91 (1989), S. 974-988 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: The rate constants for the three-dimensional H+H2 reaction on the Liu–Siegbahn–Truhlar–Horowitz (LSTH) surface are calculated using Pack–Parker hyperspherical (APH) coordinates and a C2v symmetry adapted direct product discrete variable representation (DVR). The C2v symmetry decomposition and the parity decoupling on the basis are performed for the internal coordinate χ. The symmetry decomposition results in a block diagonal representation of the flux and Hamiltonian operators. The multisurface flux is introduced to represent the multichannel reactive flux. The eigenvalues and eigenvectors of the J=0 internal Hamiltonian are obtained by sequential diagonalization and truncation. The individual symmetry blocks of the flux operator are propagated by the corresponding blocks of the Hamiltonian, and the J=0 rate constant k0(T) is obtained as a sum of the rate constants calculated for each block. k0(T) is compared with the exact k0(T) obtained from thermal averaging of the J=0 reaction probabilities; the errors are within 5%–20% up to T=1500 K. The sequential diagonalization–truncation method reduces the size of the Hamiltonian greatly, but the resulting Hamiltonian matrix still describes the time evolution very accurately. For the J≠0 rate constant calculations, the truncated internal Hamiltonian eigenvector basis is used to construct reduced (JKJ) blocks of the Hamiltonian. The individual (JKJ) blocks are diagonalized neglecting Coriolis coupling and treating the off-diagonal KJ±2 couplings by second order perturbation theory. The full wave function is parity decoupled. The rate constant is obtained as a sum over J of (2J+1)kJ(T). The time evolution of the flux for J≠0 is again very accurately described to give a well converged rate constant.
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  • 126
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    The Journal of Chemical Physics 91 (1989), S. 7361-7373 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: The far infrared spectrum of gaseous 2-fluoropropenoyl fluoride CH2CFCFO, has been recorded at a resolution of 0.10 cm−1 in the 350–35 cm−1 region. The asymmetric torsional fundamental of the more stable s-trans (two double bonds oriented trans to one another) and the high energy s-cis conformations have been observed at 84.1 and 68.5 cm−1, respectively, each with excited states falling to lower frequencies. From these data, the asymmetric torsional potential function governing internal rotation about the C–C bond has been determined. The potential coefficients are V1=−201±4, V2=2106±16, V3=382±6, V4=−41±5, and V5=−74±3 cm−1. The s-trans to s-cis and s-cis to s-trans barriers have been determined to be 2232 and 2124 cm−1, respectively, with an enthalpy difference between the conformations of 108±26 cm−1 (309±74 cal/mol). From variable temperature studies of the Raman spectrum, the conformational enthalpy difference has been determined to be 187±39 cm−1 (535±112 cal/mol) and 370±82 cm−1 (1058±234 cal/mol) for the gas and liquid, respectively. A complete assignment of the vibrational fundamentals observed from the infrared (3500–50 cm−1) spectra of the gas and solid and the Raman (3200–10 cm−1) spectra of all three physical states is proposed. All of these data are compared to the corresponding quantities obtained from ab initio Hartree–Fock gradient calculations employing both the 3-21G and 6-31G* basis sets. Additionally, complete equilibrium geometries have been determined for both rotamers. The results are discussed and compared with the corresponding quantities obtained for some similar molecules.
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  • 127
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    The Journal of Chemical Physics 91 (1989), S. 7415-7436 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: The photodissociation dynamics of some alkali halides are explored via the method of femtosecond transition-state spectroscopy (FTS). The alkali halide dissociation reaction is influenced by the interaction between the covalent and the ground state ionic potential energy surfaces (PES), which cross at a certain internuclear separation. Depending upon the adiabaticity of the PES, the dissociating fragments may be trapped in a well formed by the avoided crossing of these surfaces. Here, we detail the FTS results of this class of reactions, with particular focus on the reaction of sodium iodide: NaI*→[Na---I]°* →Na+I. As in our first report [T. S. Rose, M. J. Rosker, and A. H. Zewail, J. Chem. Phys. 88, 6672 (1988)], we observe the dynamical motion of the wave packet along the reaction coordinate and the crossing between the covalent and ionic surfaces. The studies presented here characterize the effects of various experimental parameters, including pump and probe wavelengths, on the dynamics of the dissociation and its detection. Comparisons of the results with classical and quantum mechanical calculations are also presented.
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  • 128
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    The Journal of Chemical Physics 91 (1989), S. 7461-7466 
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    Topics: Physics , Chemistry and Pharmacology
    Notes: A previous paper gave the results of a full calculation involving free ion and crystal–field interaction within the 4 f2 and 4 f15d1 configurations. Presently, the calculation is extended to 4 f16s1 and 4 f16p1 as well. As a result, the usual experimental/calculated discrepancy of the 1D2 multiplet is completely eliminated. A complete Hamiltonian, including the magnetic contribution, is utilized to reproduce the Zeeman effect in PrCl3.
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  • 129
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    The Journal of Chemical Physics 91 (1989), S. 7498-7513 
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    Topics: Physics , Chemistry and Pharmacology
    Notes: The photofragment internal and translational energy distributions resulting from the 193 nm photolysis of acetone have been measured. Vacuum-ultraviolet laser-induced fluorescence was used to probe the CO fragment, and multiphoton ionization time-of-flight mass spectrometry was used to probe the CH3. A Boltzmann distribution was observed to fit each degree of freedom with the following characteristic temperatures: CO@B: Tvib =2700 K, Trot =3000 K, Ttrans =3000 K; CH3@B: Tvib =800 K, Trot =500 K, Ttrans =3500 K. No evidence was found for two distinct CH3 populations, as might be characteristic of a stepwise reaction. Energy partitioning between the fragments was fit well by a simple impulsive model in which the available energy is divided equally between the two dissociating C–C bonds, the two bonds cleaving in rapid succession on a time scale short enough to allow little redistribution of energy into the methyl degrees of freedom.
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  • 130
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    The Journal of Chemical Physics 91 (1989), S. 7543-7549 
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    Topics: Physics , Chemistry and Pharmacology
    Notes: Photolysis of NCO(X 2Π) at 193 nm leads to the production of CN(X 2Σ+ )+O(3 P). The CN(X) was detected by monitoring the CN X 2Σ+ →B 2Σ+ laser-induced fluorescence excitation spectrum. A spectral simulation calculation was used to obtain vibrational and rotational population distributions in the CN fragments. The fractional vibrational populations obtained in this manner are 0.43, 0.32, 0.21, and 0.04 for v=0, v=1, v=2, and v=3, respectively. The near-nascent rotational distributions in the different CN(X) vibrational levels are not characterized by a Boltzmann rotational temperature, but rather are bi-modal with maxima at both high and low N. The high N rotational excitation of the CN fragment suggests the existence of an excited dissociative state of NCO which is bent. A lower limit for the heat of formation of NCO, ΔHf 〉37 kcal/mol, is derived from the upper limit on the internal excitation of the CN(X) fragments. The spectrum of prompt emission produced by the 193 nm photolysis indicates the existence of a bound excited state of NCO which radiatively relaxes to the A 2Σ+ state. From the spectrum, this state is thought to be linear.
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  • 131
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    The Journal of Chemical Physics 91 (1989), S. 701-707 
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    Topics: Physics , Chemistry and Pharmacology
    Notes: We have employed direct two-photon laser excitation of specific vibrational levels of N2(a 1 Πg) to measure the lifetime of this state. Direct observation of emission from the a 1Πg –X 1∑+g transition in a large cell was employed to follow fluorescence decays. Experiments were conducted to verify that the effects of collisional transfer and diffusion were not contributing to the observed lifetime. Our experiments showed that the radiative lifetime of vibrational levels 0–2 is 56±4 μs and is independent of vibrational level, within experimental error. The observed lifetimes are in good agreement with recently reported theoretical calculations.
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  • 132
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    The Journal of Chemical Physics 91 (1989), S. 708-710 
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    Topics: Physics , Chemistry and Pharmacology
    Notes: We show how the Kohn variational principle for the K matrix is free from anomalies when complex short-range basis functions are used. Using only the real part of the Kv matrix increases the accuracy of the calculation and guarantees the unitarity of the resulting S matrix.
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  • 133
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    The Journal of Chemical Physics 91 (1989), S. 738-751 
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    Topics: Physics , Chemistry and Pharmacology
    Notes: From the far infrared spectrum of 2-methylpropanal (isobutyraldehyde), (CH3)2CHCHO, in the gaseous state, the asymmetric torsion for the gauche conformer was observed as a series of Q branches at 75.0, 80.9, 85.8, and 90.3 cm−1 with similar transitions observed for (CD3)2CDCHO. Also from an investigation of the Raman spectrum of the gas a transition at ∼110 cm−1 has been tentatively assigned as the "double jump'' of the asymmetric torsion for the trans conformer. The microwave spectrum of the excited vibrational states for the light molecule has been investigated in the region from 12.5 to 40 GHz and, from relative intensity measurements, the frequencies of the asymmetric torsions were determined to be 72±7 and 50±20 cm−1 for the gauche and trans rotamers, respectively. Additionally, "tunneling'' splitting of 2.0±0.4 and 60.0±0.3 MHz has been observed for the second and third excited states, respectively, of the asymmetric torsion of the gauche conformer. From these data the asymmetric potential function has been calculated and the following potential constants have been evaluated: V1=−131±35, V2=−225±21, V3=555±10, V4=−70±5, V5=95±5, and V6=−140±10 cm−1 where the 1←0 transition of the gauche has been assigned at 75.0 cm−1. This potential function leads to an enthalpy difference of 250±66 cm−1 (715±189 cal/mol) which is in good agreement with the value of 248±35 cm−1 determined from variable temperature studies of the Raman spectrum of the gas. Analysis of the transitions observed between 250 and 150 cm−1 in the far infrared spectrum of the gas indicated that the two methyl rotors are coupled for the gauche conformer and the barriers to internal rotation of the methyl tops have been calculated to be 987 cm−1 (2.82 kcal/mol) and 1132 cm−1 (3.24 kcal/mol).
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  • 134
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    The Journal of Chemical Physics 91 (1989), S. 778-782 
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    Topics: Physics , Chemistry and Pharmacology
    Notes: Cyanoacetylene underwent polymerization reaction in a solid phase at pressures above 1.5 GPa. The Raman study of the reaction product showed that the polymer had a conjugated linear backbone with CN pendant groups. The Raman spectra for this substituted polyacetylene demonstrated a resonance behavior similar to that reported for trans-polyacetylene. The optical gap associated with the π–π* transition in the conjugated system was smaller than that of trans-polyacetylene, probably due to the resonance interactions between the CN triple bonds and the conjugated double bonds.
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  • 135
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    The Journal of Chemical Physics 91 (1989), S. 7780-7786 
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    Topics: Physics , Chemistry and Pharmacology
    Notes: Resonant eigenvectors are calculated within the framework of the complex rotation theory using a continuous deformation and extension of the localized bound states through the potential barrier. The vector is obtained by gradually increasing the basis size and defining for each new basis a lesser perturbation path which best verifies the complex extension of the virial theorem. The modifications resulting from the increase of the basis set N and from the variations of the optimal rotation angle θ(N) are well handled using a Bloch wave operator formulation.
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  • 136
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    The Journal of Chemical Physics 91 (1989), S. 7854-7860 
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    Topics: Physics , Chemistry and Pharmacology
    Notes: We present a formalism for molecular liquids in which the interatomic force depends upon both the internuclear separation and on internal, quantum degrees of freedom. The internal degrees of freedom are spin and orbital angular momenta, and they are eventually approximated to yield a purely classical function for the interatomic interaction. We show that the interpolative character of the classical energy function is derived from a resolution of a model Hamiltonian. The formal derivation of the potential energy function is illustrated with an explicit calculation for some nonpolar and polar systems, and with discussion for ionic systems. Our derivation emphasizes an alternative to the ever more popular three-body potential energy functions for statistical mechanics studies of liquids. We outline the path to be followed in computer simulations and analytical studies of liquids with our pairwise-additive, spin-dependent potential energy functions.
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  • 137
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    The Journal of Chemical Physics 91 (1989), S. 7877-7887 
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    Topics: Physics , Chemistry and Pharmacology
    Notes: The structural characteristics of the β phase of solid nitrogen have been studied for large samples by the molecular-dynamics simulation technique. An effective interatomic potential appropriate to this phase was developed including nonbonded and quadrupole terms. Several properties of the crystal structure have been studied as functions of both temperature and pressure. In particular, a detailed investigation of the molecular orientational order has been made as a function of these parameters. At high temperatures the simulation sample is found to have a hexagonal structure with randomly oriented molecules. As the temperature decreases an orientational ordering transition is found to occur at ≈35 K. The effects of increasing pressure are found to be analogous to those of reducing the temperature. The nature of the local transition in the sample is investigated by calculating correlation parameters which specify twinning and tetrahedral ordering. The variation of the latter indicates that tetrahedral ordering increases strongly with decreasing temperature or increasing pressure, suggesting that the low-temperature phase is a condensation of this arrangement.
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  • 138
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    The Journal of Chemical Physics 91 (1989), S. 7916-7924 
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    Notes: We have studied the wetting and drying transitions in a solid–fluid interace with truncated Lennard-Jones interactions, for which there have been reported molecular dynamics results by Sikkenk et al. [Phys. Rev. Lett. 59, 98 (1987)]. We consider in detail the differences resulting from the use of a "real'' solid substrate instead of the "inert wall'' model which has been used in all previous calculations.
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  • 139
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    The Journal of Chemical Physics 91 (1989), S. 938-942 
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    Topics: Physics , Chemistry and Pharmacology
    Notes: The relaxation behavior of the bistable iodate–arsenous acid reaction near a hysteresis limit has been investigated. Outside the bistability region, relaxations to the unique stable steady state may exhibit a plateau in concentration as a function of time, corresponding to a local minimum in rate of reaction. Very close to the saddle-node bifurcation defining the bistability limit, the relaxing system remains in the plateau for long periods of time. Experimental measurements of plateau behavior are compared to behavior predicted by a one-variable model of the iodate–arsenous acid system.
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  • 140
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    The Journal of Chemical Physics 91 (1989), S. 7319-7330 
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    Topics: Physics , Chemistry and Pharmacology
    Notes: The gas phase infrared spectra of the hydrated hydronium cluster ions H3O+⋅(H2O)n(n=1, 2, 3) have been observed from 3550 to 3800 cm−1. The new spectroscopic method developed for this study is a two color laser scheme consisting of a tunable cw infrared laser with 0.5 cm−1 resolution used to excite the O–H stretching vibrations and a cw CO2 laser that dissociates the vibrationally excited cluster ion through a multiphoton process. The apparatus is a tandem mass spectrometer with a radio frequency ion trap that utilizes the following scheme: the cluster ion to be studied is first mass selected; spectroscopic interrogation then occurs in the radio frequency ion trap; finally, a fragment ion is selected and detected using ion counting techniques. The vibrational spectra obtained in this manner are compared with that taken previously using a weakly bound H2 "messenger.'' A spectrum of H7 O+3 taken using a neon messenger is also presented. Ab initio structure and frequency predictions by Remington and Schaefer are compared with the experimental results.
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  • 141
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    The Journal of Chemical Physics 91 (1989), S. 7331-7339 
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    Topics: Physics , Chemistry and Pharmacology
    Notes: The decay rates of optically excited triplet states of pyrazine in supersonic expansion were measured by using three different methods. The excess energy dependence of the radiationless rate constants in the energy range between the T1 and the S1 electronic origins of the isolated molecule was explored. Decay rates between 7×102 –2.5×104 s−1 were found in the 1500 cm−1 range of excess vibrational energy from the origin of the T1 state. The decay rates are free of mode specificity and rotational effects. The pure radiative lifetime in the measured range is rovibronic independent. The results support a model which suggests that certain vibrational modes, those which undergo large frequency changes in the excited state, control the strong vibrational energy dependence of the T1 →S0 intersystem crossing of pyrazine.
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  • 142
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    The Journal of Chemical Physics 91 (1989), S. 7387-7391 
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    Topics: Physics , Chemistry and Pharmacology
    Notes: Using multipulse techniques, principal values of the proton nuclear magnetic resonance (NMR) chemical shift tensors were measured at room temperature for the monoclinic form of oxalic acid, potassium hydrogen oxalate, and potassium hydroxide. The isotropic and perpendicular shifts of the first two compounds, which are of medium hydrogen bond strength, were found to fit the linear correlation with O⋅⋅⋅O distance, RO⋅O, established by Rohlfing, Allen, and Ditchfield for medium and strongly O–H⋅⋅⋅O hydrogen bonded solids. Although KOH is very weakly hydrogen bonded, the shifts were also found to conform to the correlation, at least as well as does the other data, thus extending this to weakly hydrogen bonded solids. An empirical correlation of the isotropic and perpendicular shifts with exp(−RO⋅O/ρ), where RO⋅O is in A(ring) and ρ is 0.94 A(ring), is given here which has better agreement with the data and has an interpretation in terms of a simple ionic model of an O–H⋅⋅⋅O bond.
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  • 143
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    The Journal of Chemical Physics 91 (1989), S. 7374-7383 
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    Topics: Physics , Chemistry and Pharmacology
    Notes: The application of the algorithm of Zeiger and McEwen to the analysis of noisy photon correlation data is investigated. For the particular case where the data are sampled at equidistant time intervals a complete solution is given allowing reliable reconstruction of the spectrum of exponential decay rates without any a priori knowledge. A particular attractive feature of the method is that the singular value analysis of the Hankel matrix of autocorrelation functions offers a practical criterion for the decomposition of the data into a signal and a noise part. Some tests of the method are illustrated with experiments on monodisperse latices, gold sols, and binary mixtures of monodisperse latices. In the latter case comparable and even better results are obtained in significantly shorter computing time when compared to an analysis with Contin and the maximum entropy method. Since the present method does not require any a priori parameter setting, it is also complementary to these methods.
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  • 144
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    The Journal of Chemical Physics 91 (1989), S. 7437-7450 
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    Topics: Physics , Chemistry and Pharmacology
    Notes: The dissociation reaction of HgI2 is examined experimentally using femtosecond transition-state spectroscopy (FTS). The reaction involves symmetric and antisymmetric coordinates and the transition-state is well-defined: IHgI*→[IHgI]
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  • 145
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    The Journal of Chemical Physics 91 (1989), S. 7490-7497 
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    Topics: Physics , Chemistry and Pharmacology
    Notes: Zero-point energy excitation has a profound effect on the relaxation of benzene CH and CD overtone states. Only adding a fraction of the zero-point energy for each normal mode in the initial conditions results in smaller overtone relaxation rates. If no zero-point energy is added to C6H6, the n=3 and 5 CH overtones do not relax within 1 ps. Adding zero-point energy to different types of normal modes has nonequivalent effects on overtone relaxation. Zero-point excitation of modes with HCC bend character is particularly effective in enhancing relaxation of the overtones.
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  • 146
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    The Journal of Chemical Physics 91 (1989), S. 7530-7536 
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    Topics: Physics , Chemistry and Pharmacology
    Notes: The gas-phase reactions of Nb2+ with small alkanes at thermal energies are reported. For methane and ethane, dehydrogenation is a prominent reaction pathway. For propane and butane, charge transfer is virtually the only reaction pathway observed (〉99%). NbCH2+2 and NbC2H2+2 formed in the reactions of Nb2+ with methane and ethane are thermodynamically stable with D(Nb2+–CH2)=197±10 kcal/mol, D(Nb+–CH+2)=107±10 kcal/mol, D(Nb2+–C2H2)≥74 kcal/mol, and D(Nb+–C2H+2)≥7 kcal/mol. The stability of these ions is most likely due to the charge-stabilizing effect of the metal center. Collision-induced dissociation of these ions results in charge-splitting reactions as well as reactions in which both charges remain on the metal center. Hydride transfer is observed to be competitive in the primary reactions of Nb2+ with alkanes. The hydride- and charge-transfer results are in qualitative agreement with a simple curve-crossing model.
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  • 147
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    The Journal of Chemical Physics 91 (1989), S. 6613-6631 
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    Topics: Physics , Chemistry and Pharmacology
    Notes: High-resolution near-infrared spectra are reported for all of the O–H stretch vibrational bands of the water dimer. The four O–H vibrations are characterized as essentially independent proton-donor or proton-acceptor motions. In addition to the rotational and vibrational information contained in these spectra, details are obtained concerning the internal tunneling dynamics in both the ground and excited vibrational states. These results show that for tunneling motions which involve the interchange of the proton donor and acceptor molecules, the associated frequencies decrease substantially due to vibrational excitation. The predissociation lifetimes for the various states of the dimer are determined from linewidth measurements. These results clearly show that the predissociation dynamics is strongly dependent on the tunneling states, as well as the Ka quantum number, indicating that the internal tunneling dynamics plays an important role in determining the dissociation rate in this complex.
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  • 148
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    The Journal of Chemical Physics 91 (1989), S. 7612-7620 
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    Topics: Physics , Chemistry and Pharmacology
    Notes: The photofragment kinetic energy spectrum of Ar+3 has been recorded in a crossed-beam apparatus at 532 nm; the only photofragment product observed is Ar+. For the purposes of analysis, a spectrum for the photofragmentation of Ar+2 was recorded under similar experimental conditions. In each case, the ions were prepared by the electron impact ionization of a neutral argon cluster beam. The Ar+3 spectrum consists of two quite distinct features, a high-energy component which closely resembles the result observed for Ar+2, and a second, low-energy feature, which is peculiar to Ar+3 alone. The two high-energy wings appear to arise from a very rapid dissociation process where approximately 70% of the excess energy appears as Ar+ kinetic energy. A computer simulation of this region of the spectrum gives an anisotropy parameter, β, of 1.1±0.2. The low-energy, component to the spectrum arises from a two-step dissociation process, in which a weakly bound atom carries away a relatively large fraction of the available excess energy to leave a quasibound dimer ion. The energetics associated with this latter process can be accounted for using a partitioning scheme proposed by Baer et al. [J. Chem. Phys. 76, 5917 (1982)]. A computer simulation of the low-energy component gives β(approximately-equal-to)0.0. A detailed discussion of the results in terms of electronic structure, photofragmentation dynamics, and allowed electronic transitions, concludes that Ar+3 takes the form of a stable dimer ion and a weakly bound atom, and that it is most probably nonlinear.
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    The Journal of Chemical Physics 91 (1989), S. 4421-4423 
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    Topics: Physics , Chemistry and Pharmacology
    Notes: We demonstrate that the surface structure of organic monolayers can be determined by low energy helium diffraction at low surface temperatures. This uniquely surface-sensitive and nondestructive technique shows that the CH3-terminated surface of a monolayer of docosane thiol (CH3(CH2)21SH) on Au(111) is composed of small, ordered domains (lattice constant 5.01±0.02 A(ring)), a large fraction of which share a common orientation. The helium diffraction intensities decrease monotonically with increasing temperature and vanish around 100 K, due to thermal motion of the CH3 groups. Surface order is observed for chains as short as ten carbons (CH3(CH2)9SH) but a shorter chain, (CH3(CH2)5SH), gave no diffraction.
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  • 150
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    Notes: Details are given of a new type of crossed beam experiment that is designed to study state-resolved vibrationally inelastic scattering of neutral atoms from neutral diatomics or polyatomics. The molecule is initially excited to a selected vibrational level in an excited electronic state by laser pumping. Dispersed fluorescence from molecules that have undergone inelastic scattering is used to observe the final vibrational state distributions. The technique is used here to characterize the vibrationally inelastic scattering of He from each of three initial levels υ'=15, 25 and 35 within the B0+u state of I2 . The center-of-mass collision energy is 89 meV (720 cm−1). Thirty cross sections (relative, not absolute) for vibrationally inelastic scattering are obtained. The cross sections characterize processes with vibrational quantum changes extending to Δυ=±3 for the initial level υ'=15, to Δυ=±5 for υ'=25, and to Δυ=±7 for υ'=35. Relative cross sections for pure rotationally inelastic scattering within the initially pumped υ' levels are also reported. The data analysis incorporates much new information about I2 predissociation, spectroscopy, and Franck–Condon factors that has become available within the last ten years. An error analysis of the cross sections has been performed so that they are suitable benchmarks for theoretical calculation. Procedures are given for estimating fluorescence signal intensities in experiments of this type. The signal expectations are consistent with the I2 observations and suggest that extension to certain polyatomics is quite feasible.
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    The Journal of Chemical Physics 91 (1989), S. 7772-7779 
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    Topics: Physics , Chemistry and Pharmacology
    Notes: A projection operator formalism is used to quantify the normal/resonant character of eigenstates of a vibrational Hamiltonian with two degrees of freedom. We show how the application of the formalism quantifies the resonant character of these eigenstates, in the form of a probability, and how this probability is related to the width of the resonance in classical phase space. Normal and resonant quantum numbers shared by a given eigenstate are found to be canonically related.
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    The Journal of Chemical Physics 91 (1989), S. 7791-7796 
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    Topics: Physics , Chemistry and Pharmacology
    Notes: The scaling of the Schrödinger equation with spatial dimension D is studied by an algebraic approach. For any spherically symmetric potential, the Hamiltonian is invariant under such scaling to order 1/D2. For the special family of potentials that are homogeneous functions of the radial coordinate, the scaling invariance is exact to all orders in 1/D. Explicit algebraic expressions are derived for the operators which shift D up or down. These ladder operators form an SU(1,1) algebra. The spectrum generating algebra to order 1/D2 corresponds to harmonic motion. In the D→∞ limit the ladder operators commute and yield a classical-like continuous energy spectrum. The relation of supersymmetry and D scaling is also illustrated by deriving an analytic solution for the Hooke's law model of a two-electron atom, subject to a constraint linking the harmonic frequency to the nuclear charge and the dimension.
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  • 153
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    The Journal of Chemical Physics 91 (1989), S. 6822-6829 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: The mechanism of the radiative species Si*(1P0) formation from SiH4 was investigated with ab initio molecular orbital–configuration interaction calculations on two reaction routes: (a) the simplest one-step reaction mechanism SiH4→Si+2H2 and (b) the second simplest two-step reaction mechanism SiH4→SiH2+H2→Si+2H2. The conclusions obtained are as follows: (i) the one-step mechanism (a) operates effectively in the generation of the radiative species Si*(1P0), (ii) no effective path was found for the formation of Si*(1P0) in the two-step mechanism, (iii) the radiative species Si*(1P0) originates from the fifth lowest excited singlet state 11T1 of SiH4 at the Td structure in the one-step mechanism (a), whereas the nonradiative species Si(1D) is produced spontaneously from the fourth lowest excited singlet state 11E in both reaction mechanisms of (a) and (b), (iv) the nonradiative species SiH2(11B1) is spontaneously generated from the lowest excited singlet state 11T2 of SiH4, (v) the electronic state of the radiative Si*(1P0) has Rydberg character and the emission of Si*(1P0) at 288.2 nm is approximately expressed by 3p4s(1P0)→3p2(1D) where 4s is a Rydberg atomic orbital (AO). It was also concluded that the contributions of 3d AOs are important for making a description of the quantitative energy separations among the lower lying singlet states, 1D, 1S, and 1P0 of Si atoms.
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  • 154
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    The Journal of Chemical Physics 91 (1989), S. 3463-3469 
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    Topics: Physics , Chemistry and Pharmacology
    Notes: The shapes of the real-phonon and pseudophonon sideband holes (PSBH) which occur in hole-burned spectra in amorphous solids are both wavelength and burn time dependent. The theory previously proposed to simulate hole shapes in the short burn time limit is extended to examine the PSBH shapes at arbitrary times and at different burn wavelengths. The simulated spectra are compared with experimental data for tetraphenyl porphin in polystyrene. It is also shown how the simulated spectra may be used to deconvolve the antihole spectrum from the hole spectrum.
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  • 155
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    The Journal of Chemical Physics 91 (1989), S. 3509-3515 
    ISSN: 1089-7690
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    Topics: Physics , Chemistry and Pharmacology
    Notes: Vibrational excitation and relaxation cross sections of He colliding with SO2 molecule are evaluated. The results obtained rely on several approximate methods. The infinite-order-sudden approximation provides the framework for treating the rotational motion, while the vibrational processes are described using both exact close-coupling and approximate distorted wave techniques. The latter scheme permits the computations to be extended to much higher collisional energies than so far reported in the literature. Vibrational excitation and relaxation cross sections are presented over a range of collision energies.
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  • 156
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    The Journal of Chemical Physics 91 (1989), S. 3532-3538 
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    Topics: Physics , Chemistry and Pharmacology
    Notes: We have measured the absolute rates of internal conversion and of intersystem crossing in isoquinoline excited to its S2 vibronic states (3131–3062 A(ring)) in supersonic beams. The combination of direct detection of the triplets, absorption and excitation spectra allowed us to extract these rates. The intersystem crossing rate barely depends on the excess vibrational energy in the S2 manifold, being about 2×109 s−1. The internal conversion rates grow by more than two orders of magnitude over the range of 0–800 cm−1 of excess vibrational energy in the S2 state, up to 5×1010 s−1. At the S2 electronic origin intersystem crossing is the dominant nonradiative channel, while at vibrational energy exceeding 400 cm−1 internal conversion becomes dominant.
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  • 157
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    The Journal of Chemical Physics 91 (1989), S. 3582-3588 
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    Topics: Physics , Chemistry and Pharmacology
    Notes: Se3 and Te3 exist as the S3 molecule in an open C2v and a closed D3h form with different electronic configurations but nearly the same total energy. The ionization spectra of Se3 and Te3 are calculated in both the C2v and D3h forms by many-body Green's function methods. The D3h forms behave quite regularly, but very strong correlation effects are found in the C2v forms. If a theory accurate to third order is used, satellite lines appear at the ionization threshold. If higher order terms are included the satellite lines at the ionization threshold experience a slight change in energy, but a considerable reduction of intensity. Se3 has a positive electron affinity in both the C2v and D3h forms (2B1, 2A'2, states), and Te3 appears to have two positive electron affinities (2B1, 2A1 for the C2v form and 2A2 and 2E' for the D3h form).
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  • 158
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    The Journal of Chemical Physics 91 (1989), S. 3618-3623 
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    Topics: Physics , Chemistry and Pharmacology
    Notes: A simple approximation scheme is given for the association constant of a family of models of associating particles introduced and considered by Cummings and Stell, Rasaiah et al., and Stell. The result correctly reduces to the law of mass action at low concentrations. For the ionic-species version, the theory requires accurate assessment of the cavity function of charged hard spheres, for which we develop a recipe. We show the close similarity (and some differences) between the above models and those considered by Wertheim, through a simple extensions of his models. We also note the equivalence of our approximation and Wertheim's first-order thermodynamic perturbation theory.
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  • 159
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    The Journal of Chemical Physics 91 (1989), S. 6549-6565 
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    Topics: Physics , Chemistry and Pharmacology
    Notes: Recently we have shown that the lowest triplet state (T0) of pyridine, incorporated in a single crystal of benzene, may be studied by electron spin-echo (ESE) spectroscopy. From the nitrogen hyperfine structure in the ESE detected electron paramagnetic resonance (EPR) spectra, we were able to conclude that pyridine, a planar molecule in the ground state, becomes nonplanar upon excitation into T0. Here we report the results of a detailed investigation of this distortion and of the electronic nature of the lowest triplet state of pyridine-d5. We have performed electron spin–echo envelope modulation (ESEEM) spectroscopy. From the modulation spectra, the electron-nuclear double resonance (ENDOR) frequencies corresponding to the various deuterium nuclei are obtained. Analysis of the dependence of these frequencies on the orientation of the magnetic field with respect to the triplet fine-structure axes system allows for a determination of the deuterium hyperfine and quadrupole tensors. From these tensors and the known nitrogen hyperfine tensor, the structure and spin-density distribution of pyridine in its lowest triplet state are deduced. Pyridine adopts upon excitation into T0 a boatlike structure, in which the nitrogen atom is tilted by about 40° with respect to the plane through the ortho- and meta-carbon atoms and the para-carbon/para-deuterium fragment by about 10° with respect to this plane. Thereby the hybridization of the ortho-carbon atomic orbitals strongly deviates from that for aromatic hydrocarbons and becomes almost sp3; the hybridization of the atomic orbitals on the other carbon atoms changes much less, while the nitrogen atomic orbitals remain sp2 hybridized. Approximately half of the spin density is found to be localized on the nitrogen atom with a remarkable distribution over the atomic orbitals: the π orbital carries 40%, the n orbital 10%. The rest of the spin density is distributed over the para- (30%) and ortho-carbon atoms (10% each). The lowest triplet state of pyridine is neither an nπ* state nor a ππ* state, but a state of mixed character as the result of a strong vibronic coupling between the 3B1 (nπ*) and 3A1 (ππ*) states.
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  • 160
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    The Journal of Chemical Physics 91 (1989), S. 6598-6603 
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    Topics: Physics , Chemistry and Pharmacology
    Notes: A method is presented for calculating energy levels of atom–rigid-diatom systems for various values of the total angular momentum (J) of the complex. The technique is based upon the collocation method for the vibrational motions of the system and the Galerkin approach for the total rotation. Unlike the Rayleigh–Ritz variational principle, the method does not require the evaluation of integrals over the Hamiltonian and so is very simple to implement. An important feature of the method is that the wave function is obtained in an analytic form and so it is a simple matter to calculate many quantities of spectroscopic interest such as rotational constants and spectral intensities. It is also shown that contracted basis sets can be used in conjunction with the collocation method to enhance the efficiency of the calculation. The method is demonstrated by calculating rovibrational levels of the van der Waals complex Ar–HCl for J up to 10.
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    The Journal of Chemical Physics 91 (1989), S. 3788-3791 
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    Topics: Physics , Chemistry and Pharmacology
    Notes: This study focuses on van Hove-type spikes in the sticking probability of light particles on crystalline surfaces. The spikes result from singularities in the density of surface phonons subject to the constraints of the energy and the momentum conservation. The sharp features in sticking probability as a function of incoming angle and energy are derived and demonstrated for a model H2/Cu(100) system.
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    The Journal of Chemical Physics 91 (1989), S. 3796-3796 
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  • 163
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    The Journal of Chemical Physics 91 (1989), S. 2790-2807 
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    Topics: Physics , Chemistry and Pharmacology
    Notes: The near-infrared spectrum of ArHF prepared in a slit supersonic expansion is recorded with a difference frequency infrared laser spectrometer. By virtue of the high sensitivity of the technique, and the lack of appreciable spectral congestion at the 10 K jet temperature, we observe 9 of the 11 vibrational states with energies below the Ar+HF(v=1, j=0) dissociation limit. These include (1000), the lowest bound HF (v=1) state, the singly, doubly, and quadruply van der Waals stretch excited states (1001) (1002), and (1004), both the Σ bend (1200) and Π bend (111e,f 0), and the multiply excited, Π bend plus van der Waals stretch (111e,f 1). Two Ar+HF(v=0) states, (0000) and (0001), are also characterized. This spectroscopic information is quite sensitive to the Ar+HF potential energy surface away from the equilibrium configuration, and thus provides a rigorous test of trial potential energy surfaces. Excellent agreement is obtained between experiment and the predictions of a recently reported Ar+HF(v=1) potential.
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  • 164
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    The Journal of Chemical Physics 91 (1989), S. 2818-2833 
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    Topics: Physics , Chemistry and Pharmacology
    Notes: Three-dimensional potential energy and electric dipole moment functions for the electronic ground state of H2O+ have been calculated from highly correlated multiconfiguration reference configuration interaction (MRCI) electronic wave functions. The analytic representations of these functions have been used in vibrational and perturbational calculations of the rovibrational absorption spectrum of H2O+. The quartic force fields in normal coordinates have been employed in the evaluation of the equilibrium spectroscopic constants in H2O+, D2O+, and HDO+ by perturbation theory. The equilibrium structure, vibrational band origins, centrifugal distortion constants and rotational energy levels agree very well with the available experimental data. Absolute vibrational band intensities have been calculated from the dipole moment functions and are compared with theoretical integrated band intensities. The radiative lifetimes of excited vibrational states exhibit mode specific variations. The rotationally resolved room temperature absorption spectra have been evaluated ab initio for the pure rotational and the ν2, 2ν2, ν1, ν3, and 3ν2 transitions. The rovibrational electric dipole transition matrix elements and absolute line intensities are given for the most intense transitions. These data take full account of anharmonicity effects and vibration–rotation coupling.
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  • 165
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    The Journal of Chemical Physics 91 (1989), S. 2863-2868 
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    Topics: Physics , Chemistry and Pharmacology
    Notes: A simple model is proposed for correcting problems with zero point energy in classical trajectory simulations of dynamical processes in polyatomic molecules. The "problems'' referred to are that classical mechanics allows the vibrational energy in a mode to decrease below its quantum zero point value, and since the total energy is conserved classically this can allow too much energy to pool in other modes. The proposed model introduces hard sphere-like terms in action–angle variables that prevent the vibrational energy in any mode from falling below its zero point value. The algorithm which results is quite simple in terms of the cartesian normal modes of the system: if the energy in a mode k, say, decreases below its zero point value at time t, then at this time the momentum Pk for that mode has its sign changed, and the trajectory continues. This is essentially a time reversal for mode k (only!), and it conserves the total energy of the system. One can think of the model as supplying impulsive "quantum kicks'' to a mode whose energy attempts to fall below its zero point value, a kind of "Planck demon'' analogous to a Brownian-like random force. The model is illustrated by application to a model of CH overtone relaxation.
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    The Journal of Chemical Physics 91 (1989), S. 2898-2900 
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    Topics: Physics , Chemistry and Pharmacology
    Notes: The photoion–photoelectron coincidence spectra for C2H+ and C2H+2 have been measured in the wavelength range of 645–765 A(ring). The C2H+2(A˜ 2Ag,B˜ 2∑+u) ions prepared with internal energies above 17.39 eV are found to dissociate completely into C2H++H in the temporal range 〈12 μs. An upper bound of 17.33±0.05 eV is determined for the appearance energy of the process C2H2+hν→C2H++H+e− at 0 K.
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    The Journal of Chemical Physics 91 (1989), S. 2929-2938 
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    Topics: Physics , Chemistry and Pharmacology
    Notes: Vibrationally mediated photodissociation, in which one photon prepares a highly vibrationally excited molecule by vibrational overtone excitation and a second photon dissociates the vibrationally excited molecule, is a means of studying the spectroscopy and photodissociation dynamics of highly vibrationally excited states. Applying this dissociation scheme to nitric acid (HONO2) excited in the region of the third overtone of the O–H stretching vibration (4νOH) and detecting the OH fragment by laser induced fluorescence determines the energy partitioning and identifies the influence of vibrational excitation prior to dissociation. Vibrationally mediated photodissociation using 755 and 355 nm photons deposits more energy in relative translation than the isoenergetic single photon dissociation with 241 nm light. The former process also produces three times more vibrationally excited OH fragments, and both processes form electronically excited NO2, which receives over three-quarters of the available energy. In these experiments, vibrational overtone excitation enhances the cross section for the electronic transition by about three orders of magnitude. The observed differences are consistent with the motion of the vibrationally excited molecule on the ground electronic state surface strongly influencing the dissociation dynamics by allowing access to different electronic states in the photolysis step.
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    The Journal of Chemical Physics 91 (1989), S. 2980-2982 
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    Topics: Physics , Chemistry and Pharmacology
    Notes: A procedure which offers computational advantages over the customary formalism is presented for calculating the shifts of the energy levels of discrete states embedded in a continuum. Numerical procedures are described and applied to the vibrational level shifts of the B 3Σ−u state of 16O2 interacting with the 5Πu continuum.
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    The Journal of Chemical Physics 91 (1989), S. 5905-5909 
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    Topics: Physics , Chemistry and Pharmacology
    Notes: A mechanism for the enhanced splitting detected in the millimeter-wave rotational spectra of the first excited S–S stretching state of HSSH (disulfane) has been studied. The mechanism, which involves a potential coupling between the first excited S–S stretching state and excited torsional states, has been investigated in part by the use of ab initio theory. Based on an ab initio potential surface, coupling matrix elements have been calculated, and the amount of splitting has then been estimated by second-order perturbation theory. The result, while not in quantitative agreement with the measured splitting, lends plausibility to the assumed mechanism.
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    The Journal of Chemical Physics 91 (1989), S. 7024-7029 
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    Topics: Physics , Chemistry and Pharmacology
    Notes: Structures for hydride–water, hydroxide–H2 and double-Rydberg isomers of OH−3 are optimized at the MBPT(2)/6-311++G(d,p) level. While the first two isomers have nearly equal total energies, the double-Rydberg isomer is 1.68 eV less stable. Vertical ionization energies of the isomers are calculated with electron propagator theory and a 6-311++G(2d,2p) basis augmented with extra diffuse functions. The result for the hydride–water complex, 1.50 eV, is in excellent agreement with a recent photoelectron experiment, while the value for the hydroxide–H2 structure, 2.27 eV, is substantially different. Calculations are performed on a double-Rydberg anion with a pyramidal, C3v structure, yielding a vertical ionization energy of 0.43 eV. Corresponding neutral structures are optimized and provide adiabatic ionization energies. Harmonic vibrational frequencies are calculated for the anionic structures.
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    The Journal of Chemical Physics 91 (1989), S. 7039-7047 
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    Topics: Physics , Chemistry and Pharmacology
    Notes: We present a theoretical analysis of the effects that lead to distortion or symmetry restoration of the nuclear configuration in ions of weakly bound molecular systems and clusters. The vibronic coupling mechanisms involved are reviewed and discussed in terms of simple and general models. Guided by a qualitative characterization of the wave function of a loosely bound system, we study the symmetry determining effects for such ions in terms of first order (Koopmans'), relaxation and correlation distortion energies associated with electron removal from the parent system. Our discussion suggests that the Koopmans' approximation can reasonably be expected to provide a qualitatively correct dependence of the ion energy on nuclear motion. Exceeding these expectations, it is found in numerical applications to the He+3 and He+4 ions that the relaxation and correlation energy changes accompanying symmetry breaking tend to cancel exactly. This implies, and we show in practice, that while insufficiently accurate correlation energy estimates may easily lead to incorrect geometries, the inexpensive Koopmans' approximation can often suffice to obtain the correct energy curvature along symmetry breaking coordinates. Further preliminary results for N3 and CO+2 suggest that these findings have a much wider applicability than anticipated.
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    The Journal of Chemical Physics 91 (1989), S. 7085-7096 
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    Topics: Physics , Chemistry and Pharmacology
    Notes: The enthalpy of sublimation of fermium (Fm), element 100, has now been determined directly by measuring the partial pressure of Fm over alloys, for the temperature range of 642 to 905 K. The partial pressures were determined using Knudsen effusion and target collection techniques. Dilute (10−5–10−7 atom %) solid alloys of Fm and mixtures of Fm and Es in both Sm and Yb solvents were studied. The presence of Es in two of the alloys allowed a direct comparison of the behavior of Fm and Es, where the latter could be used as a reference. It was possible to calculate enthalpies of sublimation and a hypothetical vapor pressure/temperature relationship for pure Fm metal by selecting Yb as the solvent most likely to form a nearly ideal alloy with Fm. From the experimental vapor pressure data, we derived average Second Law values of 33.8±3 kcal/mol and 23.5±3 cal/mol deg for the enthalpy and entropy of sublimation of Fm at 298 K. Third Law enthalpy values were also calculated using the experimental partial pressure data and entropies estimated from derived free energy functions and heat capacities for the solid and gaseous forms of Fm. The average Third Law values (34.8 kcal/mol and 25.1 cal/mol deg, respectively, at 298 K) are in agreement with those obtained via the Second Law. These results establish that Fm, like Es (element 99), is a divalent metal. The finding that Fm metal is the second divalent actinide element experimentally establishes the trend towards metallic divalency expected in the second half of the actinide series.
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    The Journal of Chemical Physics 91 (1989), S. 7193-7199 
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    Topics: Physics , Chemistry and Pharmacology
    Notes: The scattering of light by a dilute monodisperse population of random-coil molecules is approximately described by the well-known function P(θ)=(2/u2)(e−u+u−1), where u=R2gq2, Rg is the radius of gyration of the random coils, and q=(4πn/λ)sin(θ/2) is the magnitude of the scattering vector. We show that if the molecules in this population undergo random scission, then P(θ) is still given by the above formula where, however, u is now equal to R2goq2+r, where r is the average number of scissions per molecule in the originally monodisperse population and Rgo is the original radius of gyration. It is suggested that this could be useful for determining depolymerization rate constants, and for investigating whether various forms of scission are actually random. Results from initial experiments which apply the theory to the acid hydrolysis of hyaluronic acid are presented. The rate constants found are in reasonable agreement with values in the literature.
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    The Journal of Chemical Physics 91 (1989), S. 7187-7192 
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    Topics: Physics , Chemistry and Pharmacology
    Notes: The changes of enthalpy at the irreversible transformation of high-density amorphous ice to low-density amorphous ice and of low-density amorphous ice to ice Ih have been measured in a Tian–Calvet heat-flow calorimeter. The equilibrium pressures of the two transformations have been estimated from the measured enthalpy and volume changes, neglecting the unknown, but small, entropy changes, as about 5 and 2 kbar, respectively. The course of the transformations has been followed in a piston-cylinder apparatus having an internal diameter of either 50 or 12 mm. The transformations are extraordinarily sharp when they are done slowly, the transformation pressure being constant to ±50 bar in 5 or 10 kbar in several transformations, although sometimes a sample transformed in two steps that were a few hundred bars apart. It seems that the activation volumes of the transformations are large and negative, and so the mechanism of the transformations is highly cooperative.
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    The Journal of Chemical Physics 91 (1989), S. 7265-7275 
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    Topics: Physics , Chemistry and Pharmacology
    Notes: A theory is presented to describe the nucleation and subsequent growth of weakly inhomogeneous lamellar phases from a supercooled disordered phase. Detailed calculations are performed for the case of near-symmetric diblock copolymer melts, although the results have relevance for other physical systems in the Brazovskii "universality class.'' Nucleation phenomena in such systems are particularly interesting because the bulk phase transitions have a very weak, fluctuation-induced first order character. We find unusually small nucleation barriers and critically slowed growth kinetics. For a diblock copolymer melt with degree of polymerization N and undercooling δ∝(Tt−T)/Tt(very-much-less-than)1, the barrier is of order ΔF*/kBT∼N−1/3δ−2. Our estimate for the completion time of the nucleation and growth processes is θc ∼N1/12 δ−3/4 τd exp(ΔF*/4kBT), where τd is the copolymer terminal relaxation time.
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    The Journal of Chemical Physics 91 (1989), S. 7282-7290 
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    Topics: Physics , Chemistry and Pharmacology
    Notes: X-ray powder patterns obtained from three different types of 35–40 A(ring) CdSe nanoclusters are analyzed. We simulate the effects of thermal fluctuations, stacking faults, surface reconstructions, and bond compressions on powder patterns of CdSe clusters using the Debye formula. We find that the spectra of capped and annealed CdSe particles grown in inverse micelles are best fit by a mixture of crystalline structures intermediate between zinc-blende and wurtzite. We describe a new preparation for CdSe clusters, the structure of which appears to be well-defined wurtzite with, on average, less than one stacking fault per cluster. Thermal effects are found to be important and to mask the subtle effects of likely surface and core reconstructions.
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    The Journal of Chemical Physics 91 (1989), S. 6177-6186 
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    Topics: Physics , Chemistry and Pharmacology
    Notes: An experimental study is presented of the reactions Na+HCl/DCl from 590 to 820 K. Na atoms were produced in an excess of HCl/DCl and He bath gas, by the pulsed photolysis of NaCl vapor. The metal atom concentration was then monitored by time-resolved laser induced fluorescence of Na atoms at λ=589 nm. A fit of the data to the Arrhenius form yields (2σ uncertainty): k(Na+HCl)=(2.1±0.5)×10−9 exp[(−41.8±1.5 kJ mol−1)/RT] cm3 molecule−1 s−1; k(Na+DCl)=(2.2±1.0)×10−9 exp[(−45.5±3.8 kJ mol−1)/RT] cm3 molecule−1 s−1. The large activation energies are shown to be consistent with vibrational excitation of the hydrogen halides greatly enhancing the reaction cross-sections. A pair of ab initio potential surfaces for these reactions are then calculated at constant angle cuts through the lowest 2 A' hypersurface, including a collinear surface and the surface containing the lowest saddle point which is found to occur at a bent configuration with θNaClH=54.7°. Both surfaces exhibit a late reaction barrier. The effect of reactant vibrational excitation is then demonstrated by using quasiclassical trajectories on the collinear surface.
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    The Journal of Chemical Physics 91 (1989), S. 6195-6204 
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    Topics: Physics , Chemistry and Pharmacology
    Notes: The band-Lanczos algorithm is used to compute a few matrix elements of a resolvent, i.e., to compute 〈ψk||(ω−H)−1||ψl〉. Here H denotes a Hermitian matrix of large dimension. It is shown that the proposed method which is based on the band-Lanczos algorithm is more efficient than a method based on simple-Lanczos algorithm, e.g., than the residue algebra method. The performance of the Lanczos algorithm (both simple and band) for evaluating resolvents or other functions of H is discussed in some detail.
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    The Journal of Chemical Physics 91 (1989), S. 6238-6245 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: Isotropic chemical shifts and shift anisotropies for carbon, nitrogen, oxygen, and fluorine in first-row-atom molecules have been calculated in the perturbed Hartree–Fock gauge including atomic orbital scheme for both experimental and optimized molecular structures using a 6-311G* basis for heavy atoms and a scaled 4-31G basis for hydrogen. Structure optimization leads to the expected shortening of bond lengths, which is accompanied by an increase in the isotropic chemical shifts. The increased shifts show much improved agreement with gas phase experimental values for nitrogen and oxygen, while the results for carbon are only mildly affected and remain good; shift anisotropies for all species tend to decrease in magnitude and also generally improve. Fluorine is anomalous, its increasing shifts upon structure optimization moving further away from experiment at this level of basis set. The trend in the optimized isotropic shifts is explained in terms of the general tendency for atoms in the right-hand portion of the first row of the periodic table to have negative shift derivatives with bond extension.
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    The Journal of Chemical Physics 91 (1989), S. 6268-6281 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: We present a theoretical description of the aggregation equilibrium of nonswollen and water-swollen micelles in oil (or vice versa). While we specialize on spherical, noninteracting aggregates, we treat the competition between phase separation, dissolution in monomers and formation of micelles with variable extent of swelling. The present model is based on an interfacial free energy of the surfactant monolayer which includes stretching and bending contributions. This free energy allows one to desribe both, the macroscopic interface in a two-phase system and the internal interface surrounding the aggregates on equal footing. The extent of swelling of the micelles at the CMC is determined by the bending energy of the saturated surfactant monolayer. Increasing the splay modulus or decreasing the spontaneous curvature favors swollen micelles (microemulsion droplets) and ultralow interfacial tensions. We present explicit results for the size distributions of the aggregates and interfacial tensions. Considering shape fluctuations of the aggregates we conclude that spherical micelles may be stabilized by small interfacial tension alone, while stability of strongly swollen microemulsion droplets requires a finite splay modulus of the monolayer.
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  • 181
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    The Journal of Chemical Physics 91 (1989), S. 6295-6301 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: A few years ago, P. J. Flory [J. Am. Chem. Soc. 61, 1518 (1939)] solved a statistical problem analogous to determining the random-irreversible saturation formation of a 1×2 overlayer on a linear n lattice, by deriving an expression for the fraction of empty lattice points. Methods are presented here for both the enumeration and construction of saturation configurations. This alternate approach is derived from the theory of partitions and incorporates shift and sum-rule operators for the calculation of configurational probabilities. The fraction of filled lattice points is evaluated, and the configurational probabilities provide distribution functions for saturation configurations having different saturation levels (for fixed n). These distribution functions can be used to calculate sequence selective properties in addition to average saturation levels. Applications are illustrated in the analysis of the randomness of dehydrochlorination of polyvinylchloride and the distribution of UV-induced cyclobutyl-thymine dimers in Tetrahymena pyriformis DNA.
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  • 182
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    The Journal of Chemical Physics 91 (1989), S. 6302-6305 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: A quasi-isochoric scanning method has been used to study the phase diagram of nitrogen from 150 to 550 K and up to 85 kbar in a diamond anvil cell in order to make a comparison with previous measurements of the binary phase diagram He–N2. It has been confirmed that there is only one solid-solid-fluid triple point in N2 up to 85 kbar. However, both the δ–β transition line and the melting line have shifted appreciably towards lower pressures. The present experiment shows that, as a result of this, the triple point is located at 555±5 K and 80±2 kbar, which is 20% lower in pressure than previous data.
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  • 183
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    The Journal of Chemical Physics 91 (1989), S. 6306-6317 
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    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: Recently, a simple mean-field theory was developed to describe structural and thermodynamic properties of fluid phases in monolayer films of flexible-chain surfactants [J. Chem. Phys. 91, 4423, 4431 (1989)]. This approach is extended here to examine films of mixed chain length. The high-density (LC-LE) phase transition predicted for the single component monolayers is found to exhibit nonideal mixing behavior, ranging from positive azeotropy to phase separation (in the LC phase) as the difference in chain lengths is increased. In contrast, the phase diagram in the LE-G transition region is predicted to exhibit almost ideal behavior, with a nearly linear bubble-point curve.
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  • 184
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    The Journal of Chemical Physics 91 (1989), S. 6345-6347 
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    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: Brownian dynamics computer simulations are used to investigate the shape of the mean-squared end–to–end distance distribution function for two-dimensional linear chains in three regimes: (1) excluded volume, (2) θ, (3) collapsed. It is found that Mazur's function fits regime (1), that the Gaussian function fits regime (3), and that the changeover in behavior between these two functional forms appears to occur at temperatures well above the expected θ point.
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  • 185
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    The Journal of Chemical Physics 91 (1989), S. 6337-6344 
    ISSN: 1089-7690
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    Topics: Physics , Chemistry and Pharmacology
    Notes: A neutron scattering study was performed on K1−x(NH4)xI mixed crystals (x≤0.44) at temperatures T≤20 K. Our results show in a direct fashion that the NH+4–NH+4 interaction contributes significantly to the crystal-field potential. A quantitative discussion in terms of a locally perturbed field is applied to the x=0.02 results. The barrier increase due to the presence of a single NH+4 ion cannot be ascribed to octopole–octopole interactions alone. A qualitative model, which includes dipole–dipole interactions, is presented. The temperature study on a sample with x=0.28 shows a continuous transition from a quantum regime to a classical regime of reorientational motions.
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  • 186
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    The Journal of Chemical Physics 91 (1989), S. 6367-6375 
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    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: Recent application of the reference hypernetted-chain theory to the calculation of the structure of electrical double layers in wholly molecular models of aqueous electrolytes [J. Chem. Phys. 90, 4513 (1989)] is extended to NaCl solutions. The strong interaction of the small Na+ ion with the solvent molecules leads to a number of novel features, notably a very high adsorption of Na+ into a region about 4 A(ring) from the surface next to the first solvent layer. This is sufficient to produce a positive potential of zero charge of about 29 mV and to cause the effective surface charge experienced by the diffuse layer to be positive even when the surface carries a substantial negative charge. In most cases, however, the surface potential is found to be remarkably insensitive to the details of the structure of the double layer for a given surface charge.
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  • 187
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    The Journal of Chemical Physics 91 (1989), S. 6393-6403 
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    Topics: Physics , Chemistry and Pharmacology
    Notes: A microscopic model of lyotropic systems is presented. Amphiphile and water molecules are described by simple intermolecular potentials which correctly include important excluded volume effects and the relative energy scales in the system. The present model represents an attempt to bridge the gap between more primitive lattice models and highly complex all-atom descriptions of amphiphilic systems. A constant-temperature molecular dynamics study in which the divergence of the pressure tensor is constrained to zero is discussed. Preliminary calculations on the phase diagram, order parameters, and dynamical observables of the model are reported. Some comments on improvements to the model and the theoretical techniques used to study it are made in the final section of the paper.
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    The Journal of Chemical Physics 91 (1989), S. 6421-6428 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: The nondissociative sticking of CO on Pt(111) has been measured as a function of incident energy and angle. Both these sticking measurements and prior molecular beam scattering experiments are incompatible with simple theoretical models that describe successfully weak physisorption interactions. For strong chemical interactions, such as for CO–Pt(111), lateral and rotational corrugations in the interaction potential are large and play an important role in the scattering and sticking. Both translational to rotational and normal to parallel energy conversions cause substantial energy scrambling in the interaction. Classical trajectory calculations that incorporate these effects realistically predict a rather gentle fall off in sticking with incident energy, a scaling of sticking with total rather than normal energy and directly scattered distributions which consist of broad lobular components about the specular superimposed on an even broader diffuse component. All of these findings are in accord with experiment.
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  • 189
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    The Journal of Chemical Physics 91 (1989), S. 6447-6454 
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    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: Light and small angle neutron scattering results are presented for a series of poly(dimethyl siloxane) (PDMS) gels, cured in the dry state by endlinking with a trifunctional crosslinking agent, ethyl triacetoxy silane (ETAS). For gels swollen in octane, the scattered light and the smallest angle neutron response are dominated by scattering from aggregates of polymerized ETAS, the mean radius of which was found in this system to be ∼800 A(ring), and which have a smooth surface in the length scale between 500 and 100 A(ring). The internal surface area of this precipitate was roughly 200 cm2 per cm3 of the swollen gel. Only about one third of the free ETAS participates in this condensed phase. The rest is disseminated as oligomers or monomers throughout the gel. The gel itself appears as a solution-like structure with in addition permanent waves in the polymer concentration distribution. In this system, the permanent waves could be modeled by a Gaussian function of characteristic width ΔR=80 A(ring) and relative amplitude 〈Δc2〉1/2/〈c〉≈0.1. The polymer–polymer correlation length ξ describing the shorter range fluctuations is substantially modified in comparison with an unperturbed polymer solution at the same overall concentration. For the uncrosslinked solution at volume fraction φ=0.16 it is found that ξ=10.3 A(ring), while for the crosslinked gel swollen to the same degree, ξ=18 A(ring).
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    The Journal of Chemical Physics 91 (1989), S. 6494-6505 
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    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: We compare the predictions of the capillary wave model for fluid interfaces with known exact expressions, due to Triezenberg, Zwanzig, and Wertheim, that relate the surface tension to the interfacial structure, and find agreement in all dimensions. It is shown that contrary to the case d〈3, the interfacial pair correlation function does not obey scaling in d=3 dimensions on length scales less than the capillary length Lc. Nevertheless, once the sensitive dependence on the gravitational field and the short distance cutoff is properly taken into account, we find no evidence for recent allegations that the capillary wave model leads to inherently inconsistent results for the direct correlation function in d=3. Several issues regarding the connection with density functional theory and the interpretation of the Triezenberg–Zwanzig formula, on which these results touch, are discussed.
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    The Journal of Chemical Physics 91 (1989), S. 6359-6366 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: Two energy estimators, the Barker estimator and the Berne virial estimator, commonly used in path integral simulations of quantum systems are compared with respect to statistical accuracy. It is found that the accuracy of these estimators is strongly affected by the algorithm used. Four common algorithms are considered here: (1) the pure primitive algorithm, (2) the primitive algorithm augmented by whole chain moves, (3) the normal-mode algorithm, and (4) the staging algorithm. The error of the mean of the Barker energy estimator is found to grow as (P)1/2, where P is the number of discretization points of the quantum paths (or the number of chain particles in the isomorphic classical chain), for all of the algorithms above. The error of the mean of the Berne virial energy estimator is independent of P for algorithms 2, 3, and 4, and increases as (P)1/2 for algorithm 1. It is concluded that the virial estimator is far more accurate than the Barker estimator for algorithms 2, 3, and 4, and is at least as accurate for algorithm 1. Because the error analysis depends strongly on the temporal correlations in the sequence of values of the energy estimator generated during Monte Carlo or molecular-dynamics simulations, we review the general question of error analysis in simulations.
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  • 192
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    Notes: A combined neutron diffraction and molecular dynamics study is reported of the Dy3+ ion environment in vitreous NaF–DyF3–BeF2, using a special version of the isotopic substitution procedure known as the null technique. To investigate the effects of both NaF and DyF3 on the basic beryllium fluoride glass network, complementary measurements and simulations have been performed for vitreous NaF–BeF2, with the same NaF:BeF2 ratio as the DyF3 containing glass, and also for pure vitreous BeF2. The neutron diffraction data indicate that for glasses simulated using pair potentials the BeF4 tetrahedra are much more distorted than those in the real materials and the mean Be–F–Be angle is too high. Both of these deficiencies in the simulations are attributed to the use of simple ionic potentials with no bond angle restoring forces. Experimentally, the distribution of Dy–F first neighbor distances is found to be narrow, having a root mean square deviation of 0.110±0.003 A(ring) about the mean value of 2.290±0.003 A(ring). The Dy(F) coordination number is 7.3±0.2 which is slightly less than that in crystalline DyF3.
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  • 193
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    The Journal of Chemical Physics 91 (1989), S. 6404-6410 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: Classical molecular dynamics simulations of sputtering using large samples of up to 15 500 particles are demonstrated for Lennard-Jones solids. Two features are introduced to represent the effect of the surrounding solid substrate. First, the outermost particles on each side of the sample are subjected to an additional harmonic potential restraining them close to the equilibrium position. Second, these outermost particles are maintained at a preset temperature by assigning velocities at each time step randomly from the corresponding Gaussian distribution. This boundary thermostat produces a "sandbag'' effect and provides a means for excess kinetic energy to dissipate out of the sample. Preliminary results were obtained for single trajectories at 45° incidence and these illustrate that the sputtering yield from these model rare gas solids is strongly dependent on both the length of the simulation and the size of the sample. Simulations were continued to times in excess of 25 ps after which time for the largest sample there was some recoalescence of particles remaining in the surface region of the substrate. The long time sputtering yield was about 500 atoms which is comparable with experimental data on rare gas solids. It is demonstrated that particles within a cluster are just as likely to arise from nonadjacent sites as from near neighbors in the original lattice.
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  • 194
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    The Journal of Chemical Physics 91 (1989), S. 6455-6462 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: An algorithm for simulating the Doi–Edwards and Curtiss–Bird models for concentrated polymer solutions and melts in homogeneous flow situations is developed. For steady shear flow, it is demonstrated that this simulation algorithm is capable of supplying high-precision results for the viscometric functions. The proposed simulation algorithm is not only useful for studying arbitrary time-dependent flows and various generalizations of the original Doi–Edwards and Curtiss–Bird models, but it also further illuminates the mathematical and physical content of the basic equation describing the polymer dynamics in these reptation theories.
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  • 195
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    The Journal of Chemical Physics 91 (1989), S. 6463-6471 
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    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: The dynamics of silicon-atom diffusion on a reconstructed Si(111)-(7×7) surface have been investigated using variational phase-space theory methods with a previously described [J. Chem. Phys. (to be published)] potential-energy surface. A four-layer lattice model of the Binnig et al. (7×7) reconstruction containing 291 atoms is employed for the surface. Canonical Markov walks with importance sampling incorporated are used to evaluate the flux across both right-circular and right-elliptical cylindrical dividing surfaces separating adsorption sites. This flux is minimized with respect to the parameters of the dividing surface to obtain the best estimate of the classical jump frequencies. The minimum jump frequencies so obtained are corrected for recrossings of the dividing surface by the calculation of trajectories that start from phase-space points obtained in the random walk that lie within a specified distance w of the dividing surface. The corrected jump frequencies are then used as input to a set of 225 diffential equations that describe the diffusion rates across the (7×7) surface. Diffusion coefficients D are computed from the slope of plots of the time variation of the root-mean-square displacements obtained from the solution of the rate equations. Arrhenius plots of results obtained at 300, 600, and 1000 K yield D=2.15×10−3 exp (−1.51 eV/kBT) cm2/s. The calculated activation energy of 1.51 eV is in excellent accord with the result obtained by Farrow from molecular-beam pyrolysis data on SiH4 deposition. An examination of the details of the diffusion shows that it is not isotropic on the (7×7) surface. We find that preferential directions of flow exist. These directions correspond to "gateways'' at three of the four corners of the (7×7) unit cell. The results suggest that diffusion rates are a sensitive function of the geometry of the (7×7) reconstruction so that careful measurements of diffusion rates and associated activation energies may be able to serve as a means of differentiating different proposed models of the Si(111)-(7×7) reconstruction.
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    The Journal of Chemical Physics 91 (1989), S. 6505-6518 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: Continuum approximations to the discrete birth and death equations for classical nucleation are investigated. The discrete equations are parametrized by rate coefficients αi and βi for a cluster of size i to lose or gain a monomer, respectively. The continuum equations considered for the distribution function f(x,t) of clusters containing x monomers at time t are all of the form of a Fokker–Planck equation: ∂f/∂t=∂/∂x[Bf eq∂(f/f eq)/∂x], where f eq(x) is the equilibrium distribution and B(x) is a diffusion coefficient. The dependence of B(x) on various continuum approximations to the rate coefficients is discussed at length. Three different forms of B(x) are considered; that used by Frenkel [Kinetic Theory of Liquids (Oxford, Oxford, 1946)], that suggested by Goodrich [Proc. R. Soc. London Ser. A 371, 167 (1964)], and a third form proposed here. Steady state distributions and time lags obtained from the continuous and discrete equations are compared. The time-dependent Fokker–Planck equation is solved by an eigenfunction expansion and the eigenfunctions and eigenvalues of the Fokker–Planck operator are compared with those of the birth and death equations. A change of variables transforms the Fokker–Planck equation into a Schrödinger equation and permits the interpretation of the eigenvalues as energy levels in a potential function. Since the potential is approximately quadratic near its minimum, the lower eigenvalues are close to the harmonic oscillator results. The results show that the choice for B(x) suggested by Goodrich and the one proposed in this paper generally give better agreement with values from the discrete equations than the Frenkel form, used previously by most workers.
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    The Journal of Chemical Physics 91 (1989), S. 6532-6533 
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    Topics: Physics , Chemistry and Pharmacology
    Notes: A transition that breaks the m-fold rotational symmetry of a chemical pattern of traveling waves is reported. The chemical waves travel around a thin annular gel, the inner and outer edges of which are in contact with continuous flow chemical reservoirs. Observations of the dependence of the rotating wave pattern as a function of temperature reveal several distinct states, including a wavelength-doubled state in which successive waves alternate in shape.
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    The Journal of Chemical Physics 91 (1989), S. 6538-6540 
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    Topics: Physics , Chemistry and Pharmacology
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    The Journal of Chemical Physics 91 (1989), S. 114-121 
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    Topics: Physics , Chemistry and Pharmacology
    Notes: The ethyl radical has been produced by the F+C2H6 reaction, and studied by photoionization mass spectrometry. The adiabatic ionization potential (IP) is found to be 8.117±0.008 eV. The radical and cation have been studied by the G1 level of molecular orbital theory. The calculated adiabatic ionization potential is 8.06 eV. On the basis of both experiment and theory, it is concluded that the cation in its ground state has a bridged structure. The adiabatic value resolves a previous inconsistency involving ΔH(open circle)f(C2H5), ΔH(open circle)f(C2H+5) and IP (C2H5). Broad autoionizing structures are observed at higher energy. These features can be rationalized as Rydberg states converging to the first excited state 3A‘ calculated to be at 12.05 eV.
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    The Journal of Chemical Physics 91 (1989), S. 104-113 
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    Topics: Physics , Chemistry and Pharmacology
    Notes: A direct absorption, difference frequency, infrared laser spectrometer with 10−4 cm−1 resolution combined with slit supersonic jet optical pathlengths is presented as a tool for the study of mode–mode vibrational coupling in laser-excited hydrocarbons. These weak mode–mode couplings are evidenced in our frequency domain studies by virtue of transitions to isolated upper J states that are split into multiplets under sub-Doppler resolution. Instrument performance is demonstrated by investigating vibrational coupling in the 3000–3300 cm−1 C–H stretch fundamental region of 12C3 propyne, as well as the 12C213C propynes observed in natural isotopic abundance. No appreciable state mixing is observed in ν1=1←0 and ν6=1←0 spectra at T=4 K. However, near-resonant two-state mixing of ν2 and ν5+ν8+3ν10 in the ν2=1←0 transition of 12C3 propyne is detected and deperturbed to provide an anharmonic coupling matrix element of 0.096 41(38) cm−1. This matrix element is independent of J' and thus arises from purely anharmonic, non-Coriolis-mediated couplings. The implications of anharmonic coupling matrix elements of this magnitude in overtone vibrational dynamics are discussed.
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