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  • Articles  (10,024)
  • American Institute of Physics (AIP)  (7,806)
  • Cambridge University Press  (2,218)
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  • 1988  (10,024)
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  • 1
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 89 (1988), S. 5377-5381 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: Broad band excitation spectra of Eu3+ substituted sodium β‘ alumina reveals that the Eu3+ ions occupy at least two distinct sites. Examination of the fluorescence spectrum excited by an ultraviolet laser (308 nm) reveals the presence of an additional site. 5D0→7FJ emission spectra characteristic of each site were obtained using site-selective excitation. A crystal-field analysis of the emission spectra thus obtained permits the assignment of these sites. The two inhomogeneously broadened 5D0→7F0 emissions at 569.4 and 576.7 nm are assigned as mid oxygen sites perturbed by various arrangements of the residual sodium ions, while the sharp 5D0→7F0 emission at 578.7 nm is assigned as the Beevers–Ross site.
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  • 2
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    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 89 (1988), S. 5568-5577 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: Self-broadened nitrogen isotropic Q(J) Raman linewidths have been inverted to obtain effective rotation–translation (R–T) state-to-state rate constants using the energy corrected sudden (ECS) formalism. These rate constants are discussed as a function of the rotational levels J and temperature T. Collisional Q(J) line shifts have been investigated by high-resolution inverse Raman spectroscopy (IRS) over a wide temperature range. Semiclassical calculations lead to a clear understanding of their J and T dependence. This exhaustive study of both diagonal and off-diagonal relaxation matrix elements has allowed us to calculate the collisionally narrowed Q branch at high pressure. New measurements of N2 Q branch at high pressure have been performed by IRS. The good agreement of ECS profiles with IRS data, for various pressures and temperatures, underlines the consistency of the present R–T ECS scaling analysis.
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  • 3
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    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 89 (1988), S. 5584-5588 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: We present here a calculation of nuclear magnetic resonance (NMR) spectral line shapes of spin 3/2 nuclei exchanging between sites with different quadrupole interactions and different reorientational correlation times. The calculation, which is based on the solution of the semiclassical Liouville equation, is performed for the whole range of exchange rates and reorientational correlation times including very slow motions. It is shown that the linewidth at half-height does not vary in a simple way as a function of the exchange rate, but rather passes through two maxima.
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  • 4
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    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 89 (1988), S. 5829-5833 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: A kinetic theory for a fluid of particles interacting via a pair potential with hard-core plus truncated tail is described and used to derive a transport theory for the Lennard-Jones fluid as well as the square-well fluid. Numerical results for shear viscosity, thermal conductivity, and the self-diffusion coefficient are given for the Lennard-Jones fluid and compared with simulation and experimental results. Our Lennard-Jones theory proves quantitatively useful over a wide range of states.
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  • 5
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    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 89 (1988), S. 5861-5868 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: The hypernetted-chain (HNC) and Percus–Yevick (PY) approximations are solved numerically for isotropic fluids of hard spherocylinders with length-to-breadth ratios ranging from 2 to 6. The theoretical results are compared with the available Monte Carlo data for the equation of state and the pair correlation function. The HNC theory was found to predict the existence of a nematic phase at densities in reasonable agreement with recent computer simulations.
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  • 6
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    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 89 (1988), S. 5852-5860 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: Large local energy fluctuations in liquid water and their physical origin are investigated by using classical molecular dynamics (MD) calculation and quenching techniques. Performing a trajectory calculation of 100 ps, it is found that large rotational motions of individual water molecules, which are always associated with potential energy destabilization of 10–20 kcal/mol, occur once in about 10 ps. The stabilization and destabilization of the individual water molecules are induced by cooperative motions. In order to analyze these cooperative motions in the liquid water, the water structures are quenched to their local minima (called the inherent structures). Comparing the inherent structures successively visited by the system, it is found that collective motions of about 10–40 molecules localized in space occur in unstable regions. The potential energy fluctuation of an individual molecule can reach up to 15 kcal/mol even in the inherent structures. The strong potential energy correlation among neighboring molecules indicates these cooperative motions cause the "flip–flop''-type energy exchanges; as a molecule is stabilized, another is to be unstabilized and vice versa. A flip-flop motion does not involve a (large) energy barrier but causes large energy fluctuations of the individual molecules. A large portion of potential energy fluctuations of the individual water molecules is accounted for as the superposition of fluctuations in the inherent structures and those in the normal modes build upon these structures.
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  • 7
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    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 89 (1988), S. 5890-5897 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: Mode coupling and fluctuation effects on the low frequency linear viscoelastic properties of homogeneous diblock copolymers are investigated. Attention is restricted to temperatures near, but not below the microphase separation transition (MST), where a homogeneous block copolymer melt first transforms to a spatially periodic, compositionally inhomogeneous morphology. We find that long-wavelength transverse momentum fluctuations couple only weakly to compositional order parameter fluctuations; the latter are predominantly on the scale of the radius of gyration. Crossover expressions are obtained for the renormalized transport and viscometric coefficients. The fluctuation contributions to these various coefficients are smaller than originally predicted at the MST, a consequence of refined calculations showing the MST to be a weakly first order phase transition.
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  • 8
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    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 89 (1988), S. 4799-4806 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: The transient effect in a diffusion limited reaction is described by a time-dependent rate coefficient: k(t)=a+b exp(c2t)erfc(ct1/2), where a, b, and c are expressed in terms of the diffusion coefficient (D), the encounter distance (R), and the absolute rate coefficient (ka); and for ionic reactions, the Onsager length (rc). Time resolved fluorescence quenching studies on cresyl violet–potassium iodide system in water confirm the validity of the above equation. The values of D and R obtained from the fluorescence quenching studies are in good agreement with the values inferred from other sources, and the value of ka is reasonable.
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  • 9
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    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 89 (1988), S. 4807-4814 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: Photofragmentation is found to be surprisingly efficient when hydrated electron clusters (H2O)−n, 15≤n≤40, are excited at 1064 nm (1.165 eV). The decay probability into ionic channels rises sharply from zero in the size range 15≤n≤20 before leveling off at a value of 0.56±0.10. The propensity of smaller clusters to detach an electron rather than fragment is correlated with the peculiar shape of the cluster ion distribution obtained by dissociative attachment of low energy electrons onto neutral water clusters, where the ionic clusters are only observed in abundance for n≥11.
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  • 10
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    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 89 (1988), S. 5524-5526 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: The cross section for production of the H2O+ A˜ 2A1(0,7,0)→X˜ 2B1(0,0,0) fluorescence through photoionization of H2O has been measured in the 14.5–20.5 eV region. The maximum quantum yield is 1.4×10−3 at 16.5 eV. Further, the cross sections for producing the H2O+[A˜ 2A1(0,7,0)] and H2O+ A˜ 2A1 have been estimated. The magnitude of the latter is about a factor of 10 smaller than that obtained by electron spectroscopy. The discrepancy can be attributed to radiationless transitions between the A˜ and X˜ states of H2O+.
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  • 11
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    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 89 (1988), S. 5547-5559 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: The mixed-mode oscillations observed at high flow rates in the Belousov–Zhabotinskii (BZ) reaction are considered and comparison is made between these oscillations and the dynamics of three different mathematical models based on slow manifolds. It is shown that the model proposed by Rössler for the generation of complex behavior in nonequilibrium chemical reactions is in conflict with the behavior of the BZ reaction. It is also shown that a slow-manifold model based on the hysteresis-Hopf normal form fails to accurately reproduce the oscillations found at high flow rates in the BZ system. A model of the type first proposed by Boissonade is presented; the model consists of the coupling of two simple systems. It is shown that this model naturally generates mixed-mode oscillations like those observed in the BZ reaction.
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  • 12
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    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 89 (1988), S. 5607-5613 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: We examine the relation between photodissociation dynamics and the form of the total absorption spectrum for H2O in the first absorption band. Application of an exact time dependent formalism gives a direct and intuitive relation between molecular motion and spectral features. We show that the series of weak structures on top of the broad continuum is due to symmetric stretch motion in the excited state. The spacing between the structures is, essentially, given by the frequency associated with this motion. In addition, we present some excited state eigenfunctions, which provide a direct connection between the structured spectrum, the final product distributions, and the dynamics.
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  • 13
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    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 89 (1988), S. 5624-5641 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: We have measured rates of vibrational predissociation from 12 vibrational levels of S1 p-difluorobenzene–argon (pDFB–Ar) by time-resolved two-color multiphoton ionization. Three features of our results are particularly surprising. First, the vibrational predissociation rate does not necessarily increase with additional quanta in a given ring vibrational mode. Second, direct excitation of the presumed reaction coordinate, the van der Waals stretch, may decrease the vibrational predissociation rate. Third, pDFB mode 8 (mode 16a in the Wilson notation) shows a large vibrational frequency shift upon complexation, as in other aromatic-argon complexes, but in pDFB it is at most weakly active in vibrational predissociation, in striking contrast to the other systems. These results are inconsistent with available simple theories of vibrational predissociation. We also find that the vibrational predissociation lifetime exceeds 2.7 ns even at 1634 cm−1 excess vibrational energy, where rapid vibrational energy redistribution has been predicted. Where direct comparison is possible, the rates we measure are about 40% lower than those obtained in time-integrated experiments by Parmenter and co-workers.
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  • 14
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    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 89 (1988), S. 5650-5653 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: The behavior of the vibrational relaxation time of ammonia molecule trapped in rare gas matrices with an isotopic substitution (ND3) is discussed within the framework of nonadiabatic coupling theory recently developed. The various factors which are subjected to changes in the H→D substitution are analyzed, and it is shown that the transfer of the vibrational energy to the orientational modes is here again the most efficient when compared to the multiphonon relaxation. The relaxation times are calculated to be 20 and 3 times longer for the deuterated species in argon and xenon matrices, respectively. When T is raised from 10 to 30 K, the vibrational relaxation efficiency is still enhanced in favor of NH3 since the efficiency rate factors become 40 (Ar) and 8 (Xe) smaller for ND3.
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  • 15
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    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 89 (1988), S. 5663-5669 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: Experiments were carried out using a time-resolved atmospheric pressure ionization mass-spectrometer (TRAPI) in N2–H2O (∼1 ppm) system at temperatures from 233 to 543 K and at pressures from 167 to 760 Torr. The title reaction showed temperature and pressure dependences which were explained by the following scheme: N+3+H2O(arrow-right-and-left)(N+3⋅H2O)* (forward and backward rate constants ka and kb; (N+3⋅H2O)*→H2NO++N2 (forward rate constant kp; (N+3⋅H2O)* +N2→H2NO++2N2 (forward rate constant ka. Assuming that kd is equal to the collision rate constant of 7.1×10−10 cm3 s−1, the individual rate constants were determined as ka =2.8×10−9 cm3 s−1 (302 K), kb =17T3.6 s−1 where T is temperature in K, and kp =2.0×109 s−1 (302 K). The product H2NO+ ion changed by successive reactions with H2O into H2NO+⋅H2O and subsequently to H3O+.
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  • 16
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    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 89 (1988), S. 5692-5694 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: The vibrational relaxation of NO+(v=1) ions in collisions with CH4 molecules has been measured in a flow drift tube experiment from thermal energy to 1.2 eV relative kinetic energy. The quenching rate constant has a broad minimum as a function of collision energy in the ∼0.5–0.6 eV range. These results are interpreted in terms of complex formation at low energies (KEcm (very-much-less-than)U) followed by vibrational predissociation in the complex and by a Landau–Teller nonadiabatic energy transfer at large relative kinetic energies (KEcm (very-much-greater-than)U), where U is the interaction well depth.
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  • 17
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    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 89 (1988), S. 5695-5703 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: The steady state rate constant for passage over a fluctuating potential barrier is derived from the Fokker–Planck equation using the stable states picture. The time scale of fluctuations in barrier height and position do not influence the reactive frequency; however, the reactive frequency does depend upon the time scale of fluctuations in the barrier curvature. If these are fast relative to [ω2m+(ξ/2)2]1/2, where ωm is the mean barrier frequency and ξ is the friction for motion along the reaction coordinate, then the crossing takes place on the potential of mean force. If the barrier fluctuations are slow on the same time scale, then the rate is an average over that for the distribution of barriers. In both of these limits the form of the Kramers solutions is recovered, whereas in the intermediate case, the rate also depends explicitly on the relaxation time scale of the fluctuations. A physically reasonable model for the decay of fluctuations in the potential is proposed and used to obtain an analytic expression for the rate that covers the range between these two limits.
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  • 18
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    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 89 (1988), S. 5715-5720 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: As in a prior article (Ref. 1), we consider an oscillatory dissipative system driven by external sinusoidal perturbations of given amplitude Q and frequency ω. The kinetic equations are transformed to normal form and solved for small Q near a Hopf bifurcation to oscillations in the autonomous system. Whereas before we chose irrational ratios of the frequency of the autonomous system ωn to ω, with quasiperiodic response of the system to the perturbation, we now choose rational coprime ratios, with periodic response (entrainment). The dissipative system has either two variables or is adequately described by two variables near the bifurcation. We obtain explicit solutions and develop these in detail for ωn/ω=1; 1:2; 2:1; 1:3; 3:1. We choose a specific dissipative model (Brusselator) and test the theory by comparison with full numerical solutions. The analytic solutions of the theory give an excellent approximation for the autonomous system near the bifurcation. The theoretically predicted and calculated entrainment bands agree very well for small Q in the vicinity of the bifurcation (small μ); deviations increase with increasing Q and μ. The theory is applicable to one or two external periodic perturbations.
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  • 19
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    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 89 (1988), S. 5747-5752 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: The low-lying (up to about 40 000 cm−1) doublet and quartet states of AlC have been studied at the CASSCF and MRCI levels of theory. The bonding in the X 4Σ− state is shown to involve three one-electron bonds. The first excited state, a 2Π, lies about 8700 cm−1 higher and like the X 4Σ− state is derived from ground state Al and C, but has a two-electron π bond leading to a much shorter bond length. Those states derived from Al 3s13p2 are much higher in energy, since the promotion energy is not recovered by the formation of two-electron bonds. Transition moments are presented for all the dipole-allowed transitions. The very strong B 4Σ−–X 4Σ− transition near 22 600 cm−1 is probably the best way to observe AlC in either emission or absorption.
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  • 20
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    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 89 (1988), S. 5764-5776 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: A careful semiclassical analysis of "above-barrier'' localization is provided for the case of one-dimensional random analytic potentials. The result is a practical semiclassical formula for the localization length, which shows exponential unboundedness in the classical limit. The algebraic, (h-dash-bar)→0, asymptotic series for the density of states is also determined. In the process of deriving the latter result an interesting link between the density of states and the localization length (via the Lyapunov exponent) is revealed. In addition, the results of this paper provide some of the groundwork for the semiclassical analysis of "nonadiabatic transport'' associated with time-varying potentials.
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  • 21
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    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 89 (1988), S. 5794-5802 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: Electronic and geometric structure of mixed neutral BeLik and cationic BeLi+k clusters (k=1–9) has been investigated employing ab initio configuration interaction quantum chemical methods. The values of atomization energies per atom for BeLik with k〈7 and for BeLi+k with k〈8 increase strongly with the cluster size. The binding energy per atom remains nearly unchanged for neutral BeLik with k=7–9 and cationic BeLi+k clusters with k=8 and 9. The quantities which measure cluster stability towards fragmentation processes predict high stabilities for BeLi6 and BeLi+7. The geometries of cluster, their stabilities as well as other properties can be easily interpreted as simple consequences of the nodal properties of the cluster MOs. The connection between the results obtained from this work and from the superatom model has been pointed out. The specific nature of the chemical bonding in mixed clusters obtained from quantum chemical investigations has been analyzed.
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  • 22
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    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 89 (1988), S. 5825-5828 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: Mass spectrometry was used to identify and to thermochemically characterize the gaseous fluorides RuF4 , RuF3 , RuF2 , and RuF generated by fluorination of Ru powder in a platinum effusion cell. Reaction enthalpies and bond dissociation energies were derived from equilibrium measurements involving these species, yielding the following results in kJ mol−1 : D°(F3 Ru–F)=361; D°(F2 Ru–F)=339; D°(FRu–F)=464; and D°(Ru–F)=402. The results show that the +4 oxidation state dominates the high temperature chemistry of the Ru–F system. Results are compared with the properties of the neighboring Mo–F system.
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  • 23
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    The Journal of Chemical Physics 89 (1988), S. 5834-5842 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: Molecular dynamics (MD) calculations have been carried out for aqueous solutions of isopropyl alcohol (IPA) and its fluorinated compounds, 1,1,1-trifluoro-2-propanol (TFIPA) and 1,1,1,3,3,3-hexafluoro-2-propanol (HFIPA). The simulated systems were canonical ensembles containing 216 molecules in each, one of which was alcohol and the temperature was set to 298.15 K. The MCY (Matsuoka–Clementi–Yoshimine) potential was used for water–water interaction, whereas new potential functions were determined for alcohol–water interactions, on the basis of ab initio molecular orbital calculations on more than 1100 different dimeric configurations for each alcohol–water pair. The static properties of solvent water in the vicinity of each functional group of solute were obtained from MD calculations. It is found that the promotion of water structure and the increase of hydrogen bond between water molecules occurs not only near the fluoroalkyl group but also even near hydroxyl group of fluoroalcohols. Furthermore, the alcohol–water interaction is stronger for fluoroalcohols than for aliphatic alcohols, owing to the electronegativity and the electron withdrawing effect of fluorine atoms. The enthalpies of hydration for fluoroalcohols include the contributions from these features of both water–water and alcohol–water interactions. This is not the case for the hydration of aliphatic alcohols, and is the reason for the lack of regular change of enthalpies of hydration with the degree of the substitution of CH3 by the CF3 group. The hydration of IPA is similar to that of other aliphatic alcohols; hydrophobic hydration near the apolar group and the energetic unstabilization of water near the hydroxyl group are observed.
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  • 24
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    The Journal of Chemical Physics 89 (1988), S. 5876-5886 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: The thermodynamic integration technique to evaluate free energy differences by molecular dynamics simulations is analyzed. The hydration of the ions Na+ , K+ , Ca++ , F−, Cl−, and Br− is used as the process to illustrate the potential utility of the method. A neon–water system is used as a reference system. The parameters that influence the performance and accuracy of the thermodynamic integration, in which the potential interaction parameters are gradually and continuously changed, are studied. These parameters include the total simulation time, the magnitude of the time step for the numerical integration of the equations of motion, the system size, and the cutoff radii for the intermolecular interactions. Fast convergence is found for the Gibbs free energy difference between Ne and Na+ with respect to total simulation time. The time step and system size are relatively unimportant. The use of cutoff radii, for the ion–water but especially unfortunately also the water–water intermolecular interactions, seriously influences the results obtained. A simple correction for the use of cutoff radii cannot be made. Results are compared to experimental values.
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  • 25
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    The Journal of Chemical Physics 89 (1988), S. 5931-5942 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: We report the observation of the intrinsic fluorescence of anydrous gadolinium trichloride GdCl3 when laser light is absorbed into the first excited state 6P7/2. With the aid of a frequency doubled pulsed dye laser, we are able to analyze carefully the excitation and emission spectra as well as the decay times over a range of temperatures including that at which the material undergoes a ferromagnetic transition at 2.2 K. At 4.4 K and above, experiments at low excitation density (N0〈1014 excited ions/cm3) show that the intrinsic and the impurity induced trap fluorescence dynamics are well described in terms of a fast diffusion and trapping model. When the excitation density is increased anti-Stokes fluorescences appear efficiently; they are assigned to the 6D9/2, 6I7/2→8S7/2 transitions. High excitation density effect on the intrinsic decay as well as the decay of the anti-Stokes fluorescence are nicely reproduced by a theoretical model involving mainly an exciton–exciton annihilation process. Moreover, an excited state absorption mechanism contributes notably to the anti-Stokes fluorescence intensity at t=0 with increasing the excitation density. In the ferromagnetic phase of GdCl3, at 1.5 K, the one-dimensional nature of the exciton diffusion (8S7/2↔6P7/2) is confirmed by the "incoherent'' exciton decay analysis using an appropriate model recently developed by Cibert et al. Finally a diffusion length spreading over 2500 visited Gd3+ normal sites is evaluated, knowing the hopping time as a function of the nearest neighbor interactions (nn) in the crude approximation of an ideal two level system in a linear chain of atoms.
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  • 26
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    The Journal of Chemical Physics 89 (1988), S. 5950-5955 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: Infrared and Raman spectra of the discotic liquid crystal molecules benzene–hexa-hexanoate (BH6), benzene–hexa-heptanoate (BH7), benzene–hexa-octanoate (BH8), and benzene–hexa-nananoate (BH9), and of mixtures of BH7 with BH8, are reported as a function of temperature. The 1615 cm−1 infrared band is strong in the Raman spectrum of BH7 and is taken as a characteristic of and diagnostic for central core disorder in all these molecules and mixtures. The aliphatic side chains are shown to disorder at much lower temperatures than the central core, and order in the central core is shown to remain throughout the liquid crystalline region.
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  • 27
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    The Journal of Chemical Physics 89 (1988), S. 5959-5960 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: A quantum theory of periodic orbit based resonances is presented and applied to the photodissociation of highly excited H+3. Ab initio stabilization computations are performed to show that periodic orbits are the origin of stable roots producing scars along the orbits in the system's wave functions. Spacings and widths of the resonances are in satisfactory agreement with the experiment and verify the mechanism proposed by Gomez and Pollak. The validity and utility of the PO based resonance theory to study the dynamics of highly excited systems is demonstrated.
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    The Journal of Chemical Physics 89 (1988), S. 5964-5964 
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    Topics: Physics , Chemistry and Pharmacology
    Notes: The relaxation of a system of highly excited molecules can be described by a reaction/(de)activation master equation. Much work has been concentrated on the functional form of q(x,y), the probability of a reactant molecule starting with energy y and having final energy x after collision with a bathgas molecule. A recent study [J. Chem. Phys. 86, 1269 (1987)] suggests that an exponential q(x,y) is neccessary for linear decay. This Comment shows that such an exponential transition probability is merely sufficient. The linear decay is also predicted by a step-ladder model for q(x,y).
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  • 29
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    The Journal of Chemical Physics 89 (1988), S. 5968-5968 
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  • 30
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    The Journal of Chemical Physics 89 (1988), S. 4469-4477 
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    Topics: Physics , Chemistry and Pharmacology
    Notes: Brillouin light scattering spectra of water–ethanol mixtures in a wide temperature and concentration range are reported and analyzed on the basis of a generalized hydrodynamic theory. The obtained sound velocities and longitudinal kinematic viscosity coefficients are compared with the analogous results obtained from ultrasonic measurements. In particular, light scattering spectra of 23% molar water–ethanol solution show direct evidence of a relaxation process in the GHz region which appears to be well separated from the lower frequency relaxation process determining the anomalous ultrasonic properties of these solutions. This high frequency relaxation involves both shear and volume viscosities and closely resembles the viscoelastic relaxation found in many associated liquids. The role played by the microscopic variables driving the relaxation is briefly discussed.
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  • 31
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    The Journal of Chemical Physics 89 (1988), S. 4494-4504 
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    Topics: Physics , Chemistry and Pharmacology
    Notes: The first high resolution spectra of a rare gas–H2O cluster have been observed using a tunable far infrared laser to probe the vibration–rotation–tunneling levels of Ar–H2O formed in a continuous planar supersonic jet. The high sensitivity of this spectrometer facilitated extensive measurements of two perpendicular subbands which are assigned to transitions from the ground state to the upper component of a hydrogen exchange tunneling doublet (c-type) at 21 cm−1, and to vb1 =1+ (b-type) at 25 cm−1, the lower tunneling component of a bending vibration which is perpendicular to the tunneling coordinate. The tunneling splitting is shown to be in the range 2.5–7 cm−1 and the lower tunneling component of the excited bending vibration lies between 39 and 43 cm−1 above the ground state of the complex. The experimentally determined center-of-mass separation (Rc.m. =3.75 A(ring)) and harmonic stretching force constant (ks =0.0134 mdyn/A(ring)) are compared to those of related first and second row hydrides. The large amplitude motions occurring within this complex make it difficult to establish its structure.
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  • 32
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    The Journal of Chemical Physics 89 (1988), S. 4505-4513 
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    Topics: Physics , Chemistry and Pharmacology
    Notes: A comprehensive study of the various related methods for the solution of the stochastic Liouville equation is presented. The methods are essentially based on moment expansions and continued fraction representations and lead to efficient algorithms for carrying out numerical simulations of electron spin resonance (ESR) spectra. The convergence, stability, and error propagation are discussed and compared using the model system of an axially symmetric nitroxide molecule tumbling isotropically in solution.
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  • 33
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    The Journal of Chemical Physics 89 (1988), S. 4529-4534 
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    Topics: Physics , Chemistry and Pharmacology
    Notes: The two-photon absorption properties of trans-1,3-butadiene have been calculated at an ab initio level employing RPA vertical excitation energies and transition moments and taking the random molecular orientation into account. For single-beam two-photon absorption with every possible combination of photon polarization the transition probability coefficients and polarization ratios for the low-lying 1Ag and 1Bg final states are reported. The strongest two-photon absorptivity is predicted under excitation from linearly polarized photons for 1Ag states and from circularly polarized photons for 1Bg states. The polarization ratios take sizably different values for the various 1Ag states. The case of concerted absorption of two photons with various polarizations from two laser beams has also been investigated exhaustively as a function of the photon frequencies.
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  • 34
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    The Journal of Chemical Physics 89 (1988), S. 3927-3928 
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    The Journal of Chemical Physics 89 (1988), S. 3928-3929 
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    The Journal of Chemical Physics 89 (1988), S. 3930-3930 
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  • 37
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    The Journal of Chemical Physics 89 (1988), S. 5145-5152 
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    Notes: An estimate of the ion fluctuation contribution to the free energy for a dispersion of spherical macroions, without additional salt, is made using the cell model. The Poisson–Boltzmann approximation is used to estimate the linear response in a given cell, which together with second order perturbation theory allow us to calculate the free energy of interaction between a pair of cells. As well, an infinite order theory is developed. We find excellent agreement with simulations for monovalent counterions, the comparison becoming poorer for more strongly coupled systems. A cubic lattice of cells is studied, modeling a macroionic dispersion. The fluctuation contribution is shown to be several orders of magnitude larger than the usual quantum dispersion forces. However, it plays a minor role in the thermodynamics of the lattice.
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    The Journal of Chemical Physics 89 (1988), S. 5160-5176 
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    Notes: The role of solvation dynamics in molecular nonlinear optical line shapes is analyzed using a reduced description based on the time evolution of the density matrix in Liouville space. Langevin equations are used to treat the coupling of the solvent to the molecular electronic and nuclear degrees of freedom. Electronic dephasing is calculated using a solvation coordinate which satisfies a generalized Fokker–Planck equation, and vibrational relaxation is related to the solvent viscosity and friction. The combined effect of both processes is incorporated into appropriate multitime correlation functions which are evaluated using a Liouville-space generating function. The present eigenstate-free approach is particularly suitable for calculating spectral line shapes as well as rate processes (isomerization, electron transfer) of large polyatomic molecules in condensed phases.
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  • 39
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    The Journal of Chemical Physics 89 (1988), S. 5153-5159 
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    Notes: Extended x-ray absorption fine structure (EXAFS) measurements were performed for concentrated aqueous rare earth perchlorate solutions (R=28; R is the moles of water per mole of salt) in the liquid state at room temperature and in the glassy state at liquid nitrogen temperature. The quantitative analysis of the EXAFS data has revealed that the hydration number changes from about nine for light rare earth ions to about eight for heavy rare earth ions through the intermediate ions of Sm3+ ∼Eu3+ in both liquid and glassy states. The average Ln3+ –OH2 distances were determined and they are in agreement with previously reported values from x-ray and neutron diffraction. The Debye–Waller factor of the average Ln3+ –OH2 bonds for the light rare earth ions was larger than that for the heavy ions, suggesting that the hydration shell of the light rare earth ions is statically disordered, consisting of different Ln3+ –OH2 bonds.
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    The Journal of Chemical Physics 89 (1988), S. 5190-5193 
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    Notes: An atomic force microscope using optical lever detection has been used to study the friction between muscovite mica and a tungsten tip. The frictional force is shown to vary laterally with the periodicity of the hexagonal layer of SiO4 units that forms the cleavage plane of mica. The frictional force varies linearly with normal force, giving a coefficient of friction of 0.09.
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    The Journal of Chemical Physics 89 (1988), S. 5194-5201 
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    Notes: We suggest that at least for single polymer chains relaxation times of typical dynamical processes can be obtained from biased sampling Monte Carlo computations on equilibrium data. We show this explicitly for the viscosity difference relaxation time τ in the Rouse or Zimm model (with any suitable, iterated or not, preaveraging of the Oseen–Burgers tensor) chain. We briefly discuss the corrections of such theory due to the excluded volume effect. We illustrate by performing the biased average of the equilibrium radius of gyration of Rouse chains of up to 150 monomer beads on a cubic lattice which yields directly τ.
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    The Journal of Chemical Physics 89 (1988), S. 5202-5205 
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    Notes: We present molecular dynamics computer simulation results for adsorption hysteresis in a cylindrical pore. The adsorption is examined by inducing pore filling and emptying by changing the pore length at constant number of particles. By calculating the full density profile of the fluid in the pore, one can observe both processes. Hysteresis, overshooting the thermodynamic transition, is observed for both pore filling and emptying. That is, we observe metastable one-phase states on either side of the transition. The end of the gas branch (pore filling) is signaled by the growth of an unduloid, resulting in the formation of a biconcave lens of liquid, while the end of the liquid branch (pore emptying) occurs by the formation of a bubble. However, the latter appears to be an artifact of the lack of pore ends in the model. In the presence of pore ends, the bubble formation is expected to be preempted by the receding of the meniscus.
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  • 43
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    The Journal of Chemical Physics 89 (1988), S. 2649-2661 
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    Notes: UV resonance Raman excitation within the S2, S3, and S4 π→π* electronic transitions of pyrene results in strong enhancement of totally symmetric ring vibrations. The Raman modes most strongly enhanced within these electronic transitions derive from vibrations exhibiting Franck–Condon vibronic structure in the absorption spectrum. The 1597 cm−1 (b3g) mode shows selective enhancement between the S3 and S4 transitions, and between the S2 and S3 transitions due to Herzberg–Teller coupling between these symmetry-allowed states. The experimentally observed S4 resonance Raman excitation profiles of the totally symmetric pyrene fundamentals agree closely with those calculated using resonance Raman transform theory if non-Condon contributions are included. We see an increased non-Condon contribution with an increasing vibrational frequency, indicating nonadiabatic vibronic interactions. The high incident energy fluxes of the Nd-YAG laser-based excitation source cause saturation of the pyrene Raman intensities since molecular absorption depletes the ground state population. The long-lived S1 singlet excited state bottlenecks relaxation back to the ground electronic state. Formation of pyrene phototransients is also observed with high incident energy fluxes at particular excitation wavelengths.
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    The Journal of Chemical Physics 89 (1988), S. 2697-2703 
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    Notes: Multiplet structure was observed at 4.2 K in the 35,37Cl ligand electron nuclear double resonance (ENDOR) spectra of single crystals of Cu(II)–doped histidine hydrochloride monohydrate. By using second-order perturbation theory we show clearly that the observed multiplet structure arises from the 63Cu and 35,37Cl indirect nuclear spin–spin interaction. Our theoretical analysis in general because it encompasses the anisotropies of both the g and hyperfine tensors, and also allows for the quantization of the nuclear spins along the effective field at each nucleus.
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  • 45
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    The Journal of Chemical Physics 89 (1988), S. 2720-2728 
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    Notes: Assignments of the C–H stretching fundamental of fluoroform, CHF3, have been obtained from a spectrum recorded near 3035 cm−1 at sub-Doppler resolution (∼10 MHz FWHM) and low effective temperature (∼4 K) in an adiabatically cooled molecular beam using bolometric detection of molecules excited by a color-center laser. This fundamental band is highly perturbed and has resisted analysis at higher temperatures, even at Doppler-limited resolution, whereas its overtones have been the subject of several studies of intramolecular vibrational relaxation. Under molecular beam conditions, the central Q branch, which dominates the spectrum at room temperature, almost vanishes, while the bulk of the intensity is equally shared by two "sidebands'' with Q branches symmetrically displaced by ∼±5 cm−1 from the suppressed central Q branch. This peculiar structure is due to a close anharmonic and Coriolis resonance between the fundamental ν1 (species A1) and the combinations ν±4+ν±5+ν±6 (A1+A2) located only 1.40 cm−1 above ν1, whose origin is at 3033.55 cm−1. The coupling constant of the resonance is k1456/2=3.68 cm−1. Additional severe perturbations by the E components of ν4+ν5+ν6 as well as by ν2+ν4+ν6 have been identified in the spectrum.
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    The Journal of Chemical Physics 89 (1988), S. 5237-5241 
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    Notes: Various decay models for luminescence quenching in organized assemblies have been derived in relation with the dimensionality and the effective microviscosity of the reaction medium. It has been shown that the most general models should involve the fractal or the spectral dimension of the reaction medium. A decay model has been derived for each major category where organized assemblies may belong. The theory has been successfully tested on some water-in-oil microemulsions below and at the percolation threshold.
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    The Journal of Chemical Physics 89 (1988), S. 2763-2767 
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    Notes: An electric dipole moment function (EDMF) for OH has been derived by combining airglow and laboratory intensity measurements with recent high precision measurements of the dipole moments for v=0,1, and 2. This empirical EDMF shows remarkable agreement with the a priori MCSCF(7)-SCEP EDMF. However, it differs sufficiently to produce transition probabilities which are in much better agreement with observations than previously available sets.
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    The Journal of Chemical Physics 89 (1988), S. 2754-2762 
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    Notes: The excited-state dynamics of J aggregates of PIC have been studied by means of picosecond and subpicosecond absorption spectroscopy as well as integrated fluorescence yield measurements. The results of these measurements show that both the lifetime and the fluorescence yield are strongly dependent on excitation pulse intensity. At relatively high light intensity (1014 photons cm−2 pulse−1) the S1 lifetime is essentially pulse limited (〈1 ps) and the fluorescence yield is very low. Upon decreasing the light intensity a gradual increase of the excited-state lifetime and fluorescence yield is observed. At very low excitation intensity (1010 photons cm−2 pulse−1) a single exponential lifetime of 400 ps is observed. At intermediate intensities the excited-state decay is strongly nonexponential. The observed intensity dependence of the excited-state dynamics is attributed to efficient exciton–exciton annihilation between the highly mobile singlet excitons. By applying an expression for bimolecular exciton annihilation, derived and used for photosynthetic antenna systems [Paillotin et al., Biophys. J. 25, 513 (1979)], and treating the energy migration as a hopping motion, information about aggregate size and exciton hopping rate was obtained.
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    The Journal of Chemical Physics 89 (1988), S. 2781-2788 
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    Notes: The highly precise measurements of Stark coefficients in the lambda doubling transitions of a 3Π CO obtained in previously published molecular beam electric resonance experiments have been reanalyzed. Certain perturbations between vibrational levels of the a 3Π and a' 3Σ+ states that were neglected in the earlier treatment have been found to be important. An apparent error, by a factor of in the Stark matrix elements that were used in prior work, has also been corrected. The previously reported experimental determination of the dipole moment function of a 3Π CO is shown to be invalid. Thus, the relatively flat appearance of the dipole moment function found in previous ab initio studies may indeed be correct. The dipole moment in the a' 3Σ+ state and the transition moment between the a 3Π and a' 3Σ+ states are substantially revised to −0.79 and +0.64 D, respectively.
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    The Journal of Chemical Physics 89 (1988), S. 2803-2809 
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    Notes: The infrared and Raman spectra of trans,trans-1,3,5,7-octatetraene have been observed. It has been found that the spectral data reported in 1959 for this compound contain bands due to either impurities or geometrical isomers other than the trans,trans form. Band assignments are performed by using the results of ab initio molecular orbital (MO) calculations with the 6-31G basis set. Important features of the vibrational modes and vibrational force field are discussed in some detail.
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    The Journal of Chemical Physics 89 (1988), S. 2861-2865 
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    Notes: Rotational energy distributions of the desorbing NO product from the NH3+O2 reaction on a Pt(111) single crystal have been measured using the laser-induced fluorescence technique in conjunction with an UHV apparatus. Over the surface temperature range 800–1300 K, the rotational temperature of NO was found to remain virtually constant near 400 K.
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    The Journal of Chemical Physics 89 (1988), S. 2866-2880 
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    Notes: New high-resolution differential scattering cross sections are reported for the HeNe interaction. These experimental results are combined with Hartree–Fock calculations in constructing a highly accurate interatomic potential. The new potential is capable of reproducing all available experimental data judged to be sufficiently reliable. This includes properties that are highly sensitive to the very weak attractive well and its outer bowl, in addition to the weakly repulsive wall. The potential is compared to those previously proposed for HeNe, particularly to one obtained by direct inversion of differential cross section data of similarly high quality. The potential crosses through zero at σ=2.699 A(ring); its minimum occurs at rm=3.029 A(ring) with a depth of ε=1.83 meV.
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    The Journal of Chemical Physics 89 (1988), S. 2848-2860 
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    Notes: Absolute cross sections for all ionic products formed in reactions of B+1–13 with oxygen have been measured under single collision conditions, at collision energies from 0.25 to 10 eV. Three main reaction mechanisms appear to be important: oxidative fragmentation, collision induced dissociation, and boron atom abstraction. The dominant oxidation process are exoergic for all cluster sizes, but appear to have bottlenecks or activation barriers for the larger cluster ions. Clusters smaller than B+6 have similar chemistry, then there is a sharp transition in chemistry for clusters larger than B+6 . Correlations are explored between cluster reactivity and cluster stability, and the oxidation chemistry is compared to the similar results found for aluminum cluster ion oxidation.
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    The Journal of Chemical Physics 89 (1988), S. 2894-2899 
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    Notes: The enhanced tranfer of energy between donor and acceptor molecules in a micrometer size aerosol particle due to the presence of sharp morphology dependent resonances is discussed quantum mechanically. By making use of density of states and quasimode concepts, it is shown that the enhancement factor depends only on the quality factor Q of the resonances, but not on the mode functions, therefore yielding results valid for any microparticle geometry (for which the mode functions are, in general, unknown). Emphasis is also placed on the absorption dominated limit (easily reached in practice), in which the result is particularly simple.
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    The Journal of Chemical Physics 89 (1988), S. 2886-2893 
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    Notes: The dynamics of collinear exchange reactions is treated within a semiclassical Gaussian wave packet (GWP) description. Two extensions to the previous methodology of GWP dynamics are presented. The first involves the evaluation of the interaction picture wave function propagators directly via the GWP solution to the time-dependent Schrödinger equation. The second involves use of a sum of GWPs to represent the initial translational plane wave on a finite interval. As usual, the vibrational wave function is also represented as a sum of GWPs, where the expansion coefficients are chosen to yield the desired initial vibrational state. The limitations of the previous GWP dynamical methods as applied to the reactive scattering problem are pointed out and the solutions provided by the present extensions are discussed. Results for the H+H2 collinear exchange reaction using the Porter–Karplus II potential energy surface are shown.
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    The Journal of Chemical Physics 89 (1988), S. 2918-2924 
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    Topics: Physics , Chemistry and Pharmacology
    Notes: We have extended a technique for studying the vibrational distributions of ground-electronic-state, molecular nitrogen in the afterglow of a microwave discharge through mixtures of helium and nitrogen. The technique is based upon adding metastable helium atoms to the afterglow. The He*(2 3 S) excites the N2(X,v) to N+2(B 2Σ+u) in a Penning-ionization reaction. Since Penning ionization is a Franck–Condon process, the vibrational distribution of the N+2(B) product is determined by that of the N2 (X,v) from which it was produced. The measurements show that the ground-state nitrogen distribution is highly non-Boltzmann, with vibrationally hotter distributions being produced with lower mole fractions of nitrogen in the discharge. We have also observed the production of N+2(C 2Σ+u) from He* Penning ionization of molecular nitrogen. This process is energetically allowed only if the vibrational energy in the ground-electronic-state nitrogen exceeds 3.8 eV or 15 vibrational quanta.
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    The Journal of Chemical Physics 89 (1988), S. 2938-2942 
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    Notes: Mechanism of thermal electron attachment in pure NO and NO–M mixtures (M: He, Ne, Ar, H2 , CO2 , and n-C4H10 ) at room temperature has been studied by using a pulse radiolysis–microwave cavity technique. The pressure dependence of the attachment rates indicates that a collisional electron detachment from NO− competes with electron attachment at relatively low pressures but three-body attachment dominates at higher pressures. The three-body rate constants in pure NO is (6.5±0.2)×10−31 cm6 molecule−2 s−1 and those values for the other gases as third bodies range from 1×10−32 (for He) to 3.6×10−30 cm6 molecule−2 s−1 (for n-C4H10), and no systematic correspondence can be seen between the values obtained here and those estimated previously from the data of reverse (electron detachment) processes.
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    The Journal of Chemical Physics 89 (1988), S. 2958-2964 
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    Notes: The close coupling wave packet (CCWP) method has recently been extended to treat gas phase atom–diatom collisions. The total angular momentum representation reduces the complexity of the coupled wave packet equations. In this paper, the theory is extended by modifying the form of the initial packet so that, even though the (JjlM) representation is used, a single wave packet propagation provides complete information for scattering out of a particular j, mj initial rotor state with total angular momentum J. We present results of further testing the method using the Lester–Bernstein model atom–rigid rotor system for various numbers of coupled channels N, including N=25, 64, 144, 256, 969. The results for 969 channels show clearly the transition from the "l-dominant'' regime at lower energies, where the scattering is dominated by the long-range attraction, to a more sudden regime at higher energies, where the scattering is dominated by the short-range repulsive interaction. The dependence on the final orbital angular momentum at higher energy is interpreted in terms of orbital angular momentum rainbow scattering. The results are very encouraging indicating that the wave packet method can treat gas phase collisions involving very large numbers of quantum states.
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    The Journal of Chemical Physics 89 (1988), S. 2998-3001 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: We present cross sections and asymmetry parameters for photoionization of the 1t2 orbital of CH4 using static-exchange continuum orbitals of CH+4 to represent the photoelectron wave function. The calculations are done in the fixed-nuclei approximation at a single internuclear geometry. To approximate the near-threshold behavior of these cross sections, we assumed that the photoelectron spectrum is a composite of three electronic bands associated with the Jahn–Teller components of the distorted ion. The resulting cross sections reproduce the sharp rise seen at threshold in the experimental data and are in good agreement with experiment at higher energy. The agreement between the calculated and measured photoelectron asymmetry parameters is, however, less satisfactory.
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    The Journal of Chemical Physics 89 (1988), S. 3016-3027 
    ISSN: 1089-7690
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    Topics: Physics , Chemistry and Pharmacology
    Notes: We have completed theoretical studies on the 14-valence–electron molecules CCO, CNN, SiCO, and SiNN in their 3Σ− linear ground states. The theoretical methods that we employed were ab initio self-consistent field (SCF), configuration interaction including single and double excitations from the dominant configuration (CISD), and complete active space (CASSCF). The extent of bonding of the C or Si atom with the CO or N2 ligand is significantly different in each case. The strongest bond is formed between the C and N atoms in CNN and the weakest between the Si and N atoms in SiNN. Only for CNN does the resultant geometry vary significantly with the theoretical method. Our theoretical harmonic frequencies are compared to the experimental infrared spectra reported for these molecules in matrix isolation studies. The theoretical and experimental results are easily brought into harmony for CCO and SiCO, but not for CNN and SiNN.
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  • 61
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    The Journal of Chemical Physics 89 (1988), S. 3057-3062 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: A nonperturbative theory of predissociation based upon an effective Hamiltonian is presented. For a model diatomic system in which a (bound-state) Morse potential-energy curve is crossed by an (unbound-state) exponential potential-energy curve, the exact effective Hamiltonian may be obtained in high precision for any well behaved interaction potential. The real and imaginary parts of the eigenvalues of the effective Hamiltonian give the (shifted) energies and widths, respectively, of the predissociative states. Numerical results are obtained and compared with both a semiclassical approximation and those derived from solutions of coupled Schrödinger equations. In the weak-coupling regime the agreement between the present method and semiclassical results is good, and better in general than the coupled-equations results, which apparently suffer from instability problems. For couplings of intermediate strength, the semiclassical method breaks down, as do fully quantum-mechanical first-order perturbation approximations, as is demonstrated by comparison with the converged nonperturbative results. Fixed points of the spectrum appear at "resonance'' values of the coupling strength which bring the exact energy eigenvalue into resonance with one of the adiabatic levels so that the imaginary part (level width) of the former vanishes. Thus beyond a critical coupling strength, stronger coupling enhances the stability of a resonance.
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  • 62
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    The Journal of Chemical Physics 89 (1988), S. 3079-3085 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: A recursive graphical approach for the evaluation of two-body operator matrix elements is presented. This new approach is simpler as well as clearer compared to other approaches.
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  • 63
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    Notes: All electron ab initio Hartree–Fock (HF) and configuration interaction (CI) calculations have been applied to investigate the low-lying electronic states of the NiGe molecule. The ground state of the NiGe molecule is predicted to be 1Σ+. The chemical bond in the 1Σ+ ground state is a double bond composed of one σ and one π bond. The σ bond is due to a delocalized molecular orbital formed by combining the Ni 4s and the Ge 4pσ orbitals. The π bond is a partly delocalized valence bond, originating from the coupling of the 3dπ hole on Ni with the 4pπ electron on Ge. The low-lying electronic states of the NiGe molecule have all been characterized by the symmetry of the hole in the 3d shell of Ni. The dissociation energy of the NiGe molecule has been determined from our high temperature mass spectrometric equilibrium data in combination with the theoretical results as D(open circle)0 =286.8±10.9 kJ mol−1. The standard heat of formation of the NiGe molecule has been obtained as ΔH(open circle)f,298 =514±12 kJ mol−1.
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  • 64
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    The Journal of Chemical Physics 89 (1988), S. 3131-3138 
    ISSN: 1089-7690
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    Topics: Physics , Chemistry and Pharmacology
    Notes: The geometries, energetics, and vibrational spectra are calculated for the two complexes at the SCF and correlated MP2 levels using the 6-31G** basis set, augmented by a second set of d functions on Cl. While correlation represents an important factor in the binding of H3 N⋅⋅HCl, it contributes little to the stronger Li bond. Unlike the HCl stretch νs which decreases substantially in frequency and is greatly intensified in H3 N⋅⋅HCl, the frequency of the LiCl stretch undergoes an increase and little change is noted in its intensity, conforming to prior spectral measurements. The intensities of the intramolecular stretching modes of NH3 are greatly strengthened by formation of a H bond and even more so for a Li bond. These intensity patterns are analyzed via atomic polar tensors which reveal that formation of a H bond dramatically lessens the ability of the electron density to shift along with the proton. A stretch of H–Cl hence leads to a large increase in molecular dipole moment. This "freezing'' of the electron cloud is much smaller in the Li bond and its effect on the νs intensity is counteracted by a much reduced Li atomic charge in the complex. Another distinction between the H and Li bonds relates to the destination of charge transferred from the NH3 subunit which accumulates on Cl in the former case but on Li in the latter.
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    The Journal of Chemical Physics 89 (1988), S. 3139-3151 
    ISSN: 1089-7690
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    Topics: Physics , Chemistry and Pharmacology
    Notes: The interaction potential energy surfaces for CN(X 2∑+, A 2∏)+He have been computed from ab initio MCSCF and MCSCF-CI wave functions using an extensive basis set. In the presence of the He atom the two degenerate components of the CN 2∏ state split into wave functions of A' and A‘ symmetry, and the symmetry of the 2∑+ state reduces to A'. The two adiabatic potentials for the A' states are transformed to a diabatic basis, which yields a fourth potential energy surface V1, describing the collision-induced electrostatic coupling between the two A' states. The degree of mixing of the two diabatic A' states has been determined by integration of the relevant nonadiabtic coupling matrix elements and, in a simpler method, from the coefficients of the MCSCF configurations. Both procedures yield virtually identical results. The nonadiabatic coupling matrix elements are strongly peaked near the CN bond distance at which the X 2∑+ and A 2∏ states cross in the isolated molecule. The diabatic coupling potential V1, however, is only weakly dependent on the CN bond distance, and decreases exponentially with the CN–He separation. Near the classical turning points for room temperature collisions the magnitude of V1 is approximately 50 cm−1. The V1 potential shows a bimodal character as a function of the collision angle θ. These results are discussed in connection with recent experiments of Dagdigian and co-workers.
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    The Journal of Chemical Physics 89 (1988), S. 3195-3202 
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    Topics: Physics , Chemistry and Pharmacology
    Notes: Equilibrium molecular dynamics calculations with constraints have been performed for model liquids SF6 and CF4. The computations were carried out with four- and six-center Lennard-Jones potentials and up to 2×105 integration steps. Shear, bulk viscosity and the thermal conductivity have been calculated with use of Green–Kubo relations in the formulation of "molecule variables.'' Various thermodynamic states were investigated. For SF6, a detailed comparison with experimental data was possible. For CF4, the MD results could only be compared with experiment for one liquid state. For the latter liquid, a complementary comparison was performed using MD results obtained with a one-center Lennard-Jones potential. A limited test of the particle number dependence of the results is presented. Partial and total correlations functions are shown and discussed with respect to findings obtained for the one-center Lennard-Jones liquid.
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    The Journal of Chemical Physics 89 (1988), S. 3222-3232 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: We developed a Smoluchowski-level theory of time-dependent ion concentration fluctuations at equilibrium, including higher-order correlations, but with hydrodynamic interactions suppressed. A partial sum over the higher-order correlations, a chain sum, eliminates divergences. From the resulting renormalized self-van Hove function we recover Onsager's limiting law for the self-diffusion coefficients of the ions. The limiting law comes from the chain sums that are neglected in a "linearization'' approximation used in some earlier work. The corresponding development for the distinct van Hove functions is merely indicated. We apply these results to a solution of a single spherical polyion with many small ions, to obtain the self-diffusion coefficient for the polyion in near-limiting law conditions, and to simple models for aqueous NaCl and CuSO4 solutions, to calculate the self-diffusion coefficients of the ions and the Maxwell (Debye–Falkenhagen) relaxation, all in the concentration range up to 1 M.
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    The Journal of Chemical Physics 89 (1988), S. 3233-3239 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: We offer a way of determining the temperature range in which a path integral (PI) formulation of the quantum partition function works well and a way of calculating the ground state properties without employing extremely low temperatures (in order to elude the awkward problem that the quantities calculated by the PI formulation become inaccurate with decreasing temperature owing to unavoidable truncation of an infinite number of path integral variables). The fact that the PI energy, specific heat, etc. behave in a low temperature range against physical laws makes it possible to locate the "marginal'' temperature at which the PI specific heat begins to grow infinitely and to estimate the lowest temperature at which the PI formulation functions well (the "threshold temperature''). Whether or not the threshold temperature is low enough to extract only the ground state properties can be answered by either checking if the PI energy and free energy are equal at the threshold temperature or checking if the PI specific heat is relatively small thereat. If the system is in the ground state at the threshold temperature obtained, it is recommended to calculate the ground state properties at this temperature. This scheme can be executed by Monte Carlo methods, being open to many-particle systems. Using the discretized PI formulations, we apply the above procedure to a harmonic oscillator and a double-well potential. It is concluded that this scheme is successful at least as long as the potential is a slowly varying function of coordinates.
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    The Journal of Chemical Physics 89 (1988), S. 3248-3257 
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    Topics: Physics , Chemistry and Pharmacology
    Notes: We present a molecular model for studying the prototypical ferric–ferrous electron transfer process in liquid water, and we discuss its structural implications. Treatment of the nonequilibrium dynamics will be the subject of future work. The elementary constituents in the model are classical water molecules, classical ferric ions (i.e., Fe3+ particles), and a quantal electron. Pair potentials and pseudopotentials describing the interactions between these constituents are presented. These interactions lead to ligand structures of the ferric and ferrous ions that are in good agreement with those observed in nature. The validity of the tight binding model is examined. With umbrella sampling, we have computed the diabatic free energy of activation for electron transfer. The number obtained, roughly 20 kcal/mol, is in reasonable accord with the aqueous ferric–ferrous transfer activation energy of about 15 to 20 kcal/mol estimated from experiment. The Marcus relation for intersecting parabolic diabatic free energy surfaces is found to be quantitatively accurate in our model. Due to its significance to future dynamical studies, we have computed the tunnel splitting for our model in the absence of water molecules. Its value is about 1 kB T at room temperature for ferrous–ferric separations around 5.5 A(ring). This indicates that the dynamics of the electron transfer are complex involving both classical adiabatic dynamics and quantal nonadiabatic transitions. The dynamics may also be complicated due to glassy behavior of tightly bound ligand water molecules. We discuss this glassy behavior and also describe contributions to the solvation energetics from water molecules in different solvation shells. Finally, the energetics associated with truncating long ranged forces is discussed and analyzed.
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    The Journal of Chemical Physics 89 (1988), S. 3300-3307 
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    Topics: Physics , Chemistry and Pharmacology
    Notes: We present a new approach to the theory of clustering and percolation phenomena in assemblies of nonspherical particles. The method is based on an interaction site formalism. By treating each particle in the assembly as a collection of interaction sites we are able to formulate the connectivity problem in terms of a site–site pair connectedness function, Pαβ(r). Through adaptation of existing results in the theory of pair correlations in interaction site systems the cluster expansion of Pαβ(r) has been obtained and two Ornstein–Zernike-like integral equations are developed through which Pαβ(r) may be calculated. As an illustration of the approach results are presented for a system consisting of dumbbells randomly distributed in a matrix.
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    The Journal of Chemical Physics 89 (1988), S. 3279-3284 
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    Topics: Physics , Chemistry and Pharmacology
    Notes: To study the localization of Frenkel excitons in binary systems, we consider a model that has features both of the Anderson model (diagonal disorder characterized by a probability distribution of width w) and of the quantum percolation model (substitutional disorder characterized by an occupational probability p for one of the components). With a finite-size scaling (phenomenological renormalization group) technique, and the concept of quantum connectivity, we calculate the position of the phase boundary separating localized from extended states in the w–p disorder plane. At the two endpoints of the boundary, we find that for the Anderson model the critical disorder is wc=15.95±0.25, and for the quantum percolation model the localization threshold is pq=0.477±0.011.
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    The Journal of Chemical Physics 89 (1988), S. 3308-3313 
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    Topics: Physics , Chemistry and Pharmacology
    Notes: A model has been developed by Emsley, Luckhurst, and Stockley to calculate the potential of mean torque for flexible molecules and to account for the observed variations in the segmental order profiles of the chain deuterons in the rod-like liquid crystals 4-n-alkyl-4'-cyanobiphenyl by deuterium NMR spectroscopy. In this paper we have applied this model to two other homologous series, one with a rod-like core (p-alkyloxybenzylidene-p-alkylaniline) and one with a disk-like core (hexaalkyloxytriphenylene), by considering the fragment which contains the deuterated alkyloxy chain. The subtle variations in the segmental order profiles are due to the geometry of the bond that governs the orientation of the chain and the symmetry of the core. The latter point is examined by using discotogens. The model involves segmental interaction parameters Xa and Xcc, and the excess energy of gauche over a trans state Etg. These values are obtained by fitting the theory to the experimental quadrupolar and/or dipolar splittings in mesophases of liquid crystals.
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    The Journal of Chemical Physics 89 (1988), S. 3983-3985 
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    Topics: Physics , Chemistry and Pharmacology
    Notes: The microwave spectrum of a common decomposition product of CF2=NCl and CF2=NBr has been analyzed. The observed hyperfine structure requires the presence of 14N and the absence of Cl and Br in the molecule. The inertial defect establishes the planarity of the molecule. The observed rotational constants are A=11 464.024(4), B=11 151.892(4), and C=5643.146(4) MHz, which are very similar to those reported for CF2=O. The molecule is identified to be difluoromethanimine, CF2=NH. The dipole moment components were determined from the Stark effect to be |μa|=0.415(1), |μb|=1.330(1), and |μt|=1.393(1) D. The 14N quadrupole coupling constants are χaa=1.029(20), χbb=−2.560(17), and χcc =1.531(22) MHz. These data are compared to similar quantities for some corresponding molecules.
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    The Journal of Chemical Physics 89 (1988), S. 3962-3969 
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    Topics: Physics , Chemistry and Pharmacology
    Notes: Five infrared bands of the CCH radical were observed by diode laser kinetic spectroscopy. Two Π–Π type bands were assigned to hot bands from the (0110) state in X˜ 2Σ+, namely to ν2+ν3−ν2 and 7ν12−ν12. The latter band was found to share the upper state with a Π–Σ type band, of which the lower state was the ground vibronic state. Two other Π–Σ type bands corresponded to transitions from the ν3 state in X˜ 2Σ+ to two vibronic Π states. Simultaneous analysis of all the observed bands yielded molecular parameters with high precision including the ν2 fundamental frequency, which was determined to be 371.6034 (3) cm−1. The parity of each rovibronic level was determined unambiguously because Π–Σ+ transitions were observed, allowing us to choose the signs of K-type doubling constants p and q uniquely.
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    The Journal of Chemical Physics 89 (1988), S. 3986-3992 
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    Topics: Physics , Chemistry and Pharmacology
    Notes: The vibrationless bands of the methyl 4p 2A‘2 ←X˜ 2AA‘2 0–0 Rydberg transition have been recorded by mass selected (2+1) REMPI spectroscopy using photolytically generated CH3 and CD3 radicals. A least-squares analysis of the spectra determines values for the band origin and the rotational constants B', D'N, DNK, and (C'−C‘). Linewidths in the CH3 spectrum show a pronounced rotational level dependence and by means of a spectral simulation a heterogeneous predissociation is identified and shown to be induced by a perpendicular Coriolis coupling mechanism.
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    The Journal of Chemical Physics 89 (1988), S. 3993-4000 
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    Topics: Physics , Chemistry and Pharmacology
    Notes: The fluorescence spectra of the two electronic systems (3) 1Πu→X 1∑g appearing in the visible range and (3) 1Πu→(2) 1∑g in the near infrared has been observed using an argon ion laser to excite Cs2 molecules. Fluorescence lines were accurately measured with a high resolution Fourier transform interferometer. Accurate molecular constants and potential energy curves have been determined for the (3) 1Πu electronic state. The main constants are as follows: Te(cm−1) =20 684.669; we(cm−1) =30.398; Be(cm−1) =0.009 12; Re(A(ring)) =5.2735. Possible correlation with the atomic limit 7 2P1/2+6 2S1/2 yields a dissociation energy De=4730±1 cm−1.
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    The Journal of Chemical Physics 89 (1988), S. 3388-3389 
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    Topics: Physics , Chemistry and Pharmacology
    Notes: Reaction cross sections and threshold energy have been determined for the first time for the isotopically pure reaction, H+C2H6→H2+C2H5. Taking measured reaction probabilities from photochemical studies of the isotopically pure reaction and from xenon moderated systems, calculations described here of H atom collision densities in Xe by a stochastic method allowed the evaluation of reaction cross sections. These rise from the threshold energy at 43±2 kJ mol−1 to a maximum value of ∼8×10−3 nm2 in the vicinity of 100 kJ mol−1. The excitation function in this energy range is close to a line-of-centers function. The cross section values per C–H bond are higher than for the isotopically mixed H+C2D6 reaction, similar to the primary C–H bonds in C3H8, but lower than for secondary C–H bonds in C3H8. All these values are small compared with the total collisional cross section.
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    The Journal of Chemical Physics 89 (1988), S. 3402-3402 
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    The Journal of Chemical Physics 89 (1988), S. 1768-1779 
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    Topics: Physics , Chemistry and Pharmacology
    Notes: Recently, the first observation of statistical fine structure on an inhomogeneously broadened absorption profile was reported [W. E. Moerner and T. P. Carter, Phys. Rev. Lett. 59, 2705 (1987)] for mixed crystals of pentacene in p-terphenyl using laser frequency-modulation spectroscopy. Statistical fine structure is time-independent structure on the inhomogeneous line caused by statistical variations in the spectral density of absorbers in each frequency interval. In this work, a model and an analysis of statistical fine structure using autocorrelation techniques are presented, and the dependence of the effect for pentacene in p-terphenyl at 1.4 K on modulating frequency, detection phase, center concentration, and position in the sample is described. Statistical fine structure provides a new method for probing inhomogeneous systems that allows investigation of the underlying probability distribution function and the determination of the homogeneous linewidth. This fine structure also represents a fundamental limit on the detectability of shallow spectral features in inhomogeneously broadened lines.
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    The Journal of Chemical Physics 89 (1988), S. 1801-1806 
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    Topics: Physics , Chemistry and Pharmacology
    Notes: The close analogy between 2H-NMR spin alignment and 1H quasielastic incoherent neutron scattering [J. Chem. Phys. 84, 4579 (1986)] in determining the geometry and time scale of molecular reorientation is illustrated by an experimental example. Analysis of the final states of both methods show consistently that benzene in its (poly)crystalline state reorients by rotational jumps about the molecular sixfold symmetry axis. Emphasis is put on the quasielastic structure factor of incoherent neutron scattering, which excludes random jumps among the six orientations as the reorientation mechanism, allowing only single rotational jumps.
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  • 81
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    Notes: The formation of the C–H bond insertion product methylmagnesium hydride (CH3MgH) and the simultaneous emission of atomic triplet magnesium are observed following photoexcitation of the first allowed singlet resonance transition of atomic magnesium isolated in solid methane matrices at 12 K. Isotopic variation of the solid methane hosts produces observable differences in the relative branching ratios into the photophysical (atomic triplet emission) and photochemical (insertion product formation) channels. In solid perdeuteromethane (CD4), the intensity of the atomic emission is approximately five times that in solid methane (CH4) while the rate of formation of the insertion product shows the opposite behavior in the two solids. No singlet atomic magnesium emission is observed in the solid Mg/methane systems and the rise time of the atomic triplet emission is deduced to occur on a time scale of less than 10 ns. A simple model derived from spin and orbital correlations between reactants and products is presented which considers the effect of the low symmetry of an insertive reaction coordinate in the approach geometry of atomic magnesium to methane yielding the linear product CH3MgH. Using this model, the absence of the singlet atomic emission is explained in terms of the attractive nature of the singlet surface with respect to the formation of a bent, inserted intermediate. The observation of an enhanced rate of atomic magnesium intersystem crossing is thought to occur as a result of the symmetry-induced participation of the repulsive triplet surface in the process leading to the linear insertion product. The model also suggests an origin for the observed kinetic isotope effects. Differences in the observed behavior of the 1P state of atomic magnesium in gas-phase and solid-phase quenching experiments (explicitly the formation of fragmented products only with no unreacted atomic triplet in the former case and the formation of the insertion product with intense atomic triplet emission in the latter) are discussed in relation to the presence of efficient relaxation pathways in the solid phase and the absence of such pathways in the single-collision conditions of the gas-phase experiments.
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    The Journal of Chemical Physics 89 (1988), S. 1892-1898 
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    Topics: Physics , Chemistry and Pharmacology
    Notes: Hyper-quasielastic light scattering of liquid carbon tetrachloride CCl4 is measured in the temperature range between −9 and 68 °C. The spectra consist of two different Lorentzians, narrow and broad ones. By the measurements of the polarization ratio and the temperature dependence of the spectra, the narrow Lorentzian spectrum is found to arise from the rotational Brownian motion of a CCl4 molecule. This spectrum is inactive for both Raman and infrared measurements but is only active for the hyper-Raman measurement. The broad Lorentzian spectrum mainly comes from the temporary dipole moment induced by the intermolecular interactions between the molecules. The intermolecular interaction becomes strongest around 40 °C. The temperature dependences of the half-width and the integrated intensity of the narrow Lorentzian are strongly affected by the intermolecular interactions.
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    The Journal of Chemical Physics 89 (1988), S. 1929-1935 
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    Topics: Physics , Chemistry and Pharmacology
    Notes: Dispersed LIF spectra of O2 in the Schumann–Runge band were measured with a modified tunable ArF laser in a flame. Spin-state selective predissociation of the B state was directly observed in fluorescence excitation spectra, revealing the relative coupling matrix elements of the triplet components to the manifold of repulsive states. Such data determines the symmetries of the important predissociating curves for each observed B-state vibrational level and shows that past interpretation of absorption linewidth data is in error. Due to the fast predissociation, quench-free emission spectra arising from laser prepared single rovibronic levels in the B state were observed even in an atmospheric flame. Fluorescence to X-state vibrational levels as high as v‘=35 was observed and relative emission probabilities were derived.
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    The Journal of Chemical Physics 89 (1988), S. 1950-1957 
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    Topics: Physics , Chemistry and Pharmacology
    Notes: The energy dependence of dissociating collisions between argon metastable atoms and cadmium dihalide molecules have been studied in a flowing afterglow apparatus. The fluorescence spectra obtained in the range of 3000–7600 A(ring) which result from the Ar(3P2)+CdX2 interactions indicate a dominant dissociative excitation production mechanism. The emission spectra are used to narrow the uncertainty in the currently accepted values for the dissociation energy of the CdX2 molecules. The Wigner spin rule (conservation of total electronic spin) was verified for these processes as shown by the dominance of final state triplet production as compared to the virtual absence of singlet spin state production.
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    The Journal of Chemical Physics 89 (1988), S. 4137-4144 
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    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: Novel reduced equations of motion for an admolecule scattering from a solid surface are proposed. The equations, derived under the assumption that the collisional force varies slowly with respect to typical periods of vibration of the solid atoms, can be cast as a set of coupled vector equations with dyadic friction coefficients that depend upon the instantaneous configuration of the system. In essence, the reduced equations describe the admolecule moving in the field of the instantly readjusting lattice. The reduced equations are applied to an idealized collision system (an adatom interacting via the Morse potential with a single atom of the simple-cubic Rosenstock–Newell lattice at T=0 K) for which numerically exact energy accommodation coefficients are available. The approximation is quite reliable over a reasonable range of system parameters, including those characteristic of realistic systems.
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  • 86
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    The Journal of Chemical Physics 89 (1988), S. 2092-2098 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: The dispersion coefficients Cn (n≤30) and Z(l,λ,L) (l+λ+L≤13) which appear in the multipole expansions of the pair and nonadditive three-body interaction energies, respectively, are calculated to an accuracy of no less than 15 decimal digits for interactions among ground state hydrogen atoms. The pseudostate technique used is as simple and accurate as the momentum-space method recently advocated for this problem. The oscillator and hydrogenic models are used to obtain simple formulas for the estimation of higher dispersion coefficients from two or three of the leading coefficients. These formulas should prove useful in models of intermolecular potentials.
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  • 87
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    The Journal of Chemical Physics 89 (1988), S. 2160-2169 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: Spectroscopic constants (De, re, ωe, μe) are presented for the ground and low-lying states of the monoxides and monosulfides of yttrium, zirconium, and niobium using large valence basis sets in conjunction with relativistic effective core potentials. For states well described by a single configuration, electron correlation is incorporated using the modified coupled-pair functional method. When several molecular states of the same symmetry or transition moments are determined, we employ state-averaged CASSCF/MRCI methods. The theoretical spectroscopic constants for the oxides are generally in excellent agreement with experiment, so that the corresponding results for the sulfides should be helpful to spectroscopists attempting to characterize these band systems. The quartet manifold of states in YO is found to lie too high to significantly affect the spectroscopy of the low-lying doublet states. Both the A 2Π–X 2Σ+ and B 2Σ+–X 2Σ+ transitions in YO are very strong, resulting in radiative lifetimes of 21 and 17 ns for the A 2Π and B 2Σ+ states, respectively. The (1)3Φ–a3Δ band system of ZrS is identified as a likely carrier of the Keenan bands observed in the infrared spectra of S stars. The theoretical De values parallel experiment, but are systematically low, as the calculations do not fully account for the large correlation contribution to the bond energy.
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  • 88
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    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 89 (1988), S. 2235-2241 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: Ab initio calculations of 13 singlet states of H+3 in C2v symmetry are reported. The diabatic correlation diagram linking the states at the ground state equilibrium D3h symmetry to those at the H2+H and three-body asymptotes has been established by careful analysis of the excited state wave functions. Transition moments between the two lowest states and those connecting the diabatic states arising from H+2 +H(n=2) and the lower states have been evaluated. Radiative lifetimes of the excited states have been estimated. Implications for observing photodissociation of H+3 are discussed.
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  • 89
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    The Journal of Chemical Physics 89 (1988), S. 2278-2280 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: A new general equation has been developed for the lag time for a dilute diffusant permeating through a one-dimensional membrane in which both diffusivity D and partition coefficient K are dependent on position. The lag time is given by tL=∫h0K(x)[∫x0 R(y)dy][∫hxR(y)dy] ×dx/ ∫h0R(x)dx, where h is the membrane thickness and R(x)=1/[D(x)K(x)]. Formulas derived from this equation include those for: lag time in the presence of an electrical potential gradient; lag time in a multilaminar periodic membrane; and an upper bound for lag time given by tL 〈(h2/ 4Deff), where Deff is the effective diffusivity as deduced from steady-state partitioning and permeability measurements. The lag time is shown to be independent of the direction of diffusion. A computational technique is presented in which the equation for tL is rearranged to a system of two differential equations, which are readily solvable by numerical integration, even when the system has discontinuities in D and K which would increase the difficulty of evaluating the double integral directly.
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  • 90
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    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 89 (1988), S. 2292-2300 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: The shift operator matrix (SOM) (from which the exact, composite, grand canonical partition function can be obtained) is used to study a system consisting of simple, nearest-neighbor-interacting particles distributed on a planar M×N lattice. Such an SOM is transformed into the corresponding SOM for a cylindrical lattice of the same dimensions. Utilizing these results, we calculate and compare the physical adsorption isotherms for a M×∞ planar lattice (which has two free edges) and for a cylindrical lattice of the same size (which has no free edges) for several particle–particle interaction potentials and for several values of M. By further modification of the SOM for planar lattices, we show explicitly that the differences between the physical adsorption on these two lattices are reflected in anomalous particle densities along the free edges of the planar lattice.
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  • 91
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    The Journal of Chemical Physics 89 (1988), S. 2336-2343 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: By using variational theory together with an extended van der Waals one-fluid model, as has been developed by Ree, fluid–fluid coexistence surfaces of He–H2 mixtures are calculated up to 1 Mbar. The exponential-six potential parameters of the system are chosen such that good agreement is obtained with experimental data up to 75 kbar and 300 K. Moreover, using these parameters, fluid–solid equilibria and the three-phase line are calculated assuming that the hard-sphere packing fraction of the fluid along the freezing surface is a linear function of composition. The calculated triple point composition along the three-phase line agrees with experiment up to the highest pressure.
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  • 92
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    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 89 (1988), S. 2380-2387 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: An empirical analysis of pressure-induced shifts for quasidiatomic C–H or O–H stretching vibrations in solution shows that the portion attributable to attractive forces exhibits an approximately quadratic dependence on the solvent density, with exponents in the range sA=2.1±0.3 for ten systems. This is much stronger than the linear density dependence (sA=1) postulated for attractive forces by Schweizer and Chandler. Theoretical estimates of the attractive part of the frequency shifts are derived by averaging attractive R−n potentials (n≥6) using the hard-sphere radial distribution function. This yields a simple, explicit formula with an exponential dependence on density. We find attractive exponents of sA∼2.0±0.1 for the experimental density regime, whereas sA→1 for the zero-density limit. The sA values at high density are insensitive to the potential exponent n and comparable to the repulsive exponents sR∼3.5 obtained from the hard-sphere model. The density dependence for attractive as well as repulsive contributions thus is governed chiefly by packing effects and is only mildly affected by the form of the intermolecular potential. This situation permits attractive potential parameters to be evaluated by inverting experimental data on pressure-induced vibrational frequency shifts.
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  • 93
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    The Journal of Chemical Physics 89 (1988), S. 2412-2418 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: With the help of Brownian dynamics simulations we study the rheological properties of polymer Hookean dumbbell models with anisotropic friction. The friction tensor depends on the actual configuration of the dumbbell. The resulting equation of motion is a Langevin equation with multiplicative noise. The correlations of the "Langevin'' Brownian forces appearing in this equation turn out to be anisotropic, too. They should be carefully distinguished from the "smoothed out'' Brownian forces which appear in the standard derivations of the Fokker–Planck equation in kinetic theory. We will discuss the rheological properties in steady shear flow for two different friction tensors.
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  • 94
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    The Journal of Chemical Physics 89 (1988), S. 2406-2411 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: (High resolution) electron energy loss spectroscopy [(HR)EELS] has been used successfully to provide direct spectroscopic evidence regarding details of the molecular fragmentation of methoxy (CH3O) on Al(111) caused by energetic electron and ion beams. Chemisorbed methoxy on Al(111) is produced by heating of adsorbed CH3OH. Irradiation of CH3O(a) by either energetic (∼300 eV) electrons or Ar+ ions results in C–O and C–H bond scission with simultaneous formation of Al–O and Al–C bonds. During electron stimulated desorption the CH3O(a) species undergo sequential fragmentation first to CHx groups that are captured by the surface and in the final decay process to adsorbed carbon. C–O bonds in CH3O(a) are depleted preferentially compared to C–H bonds in CHx(a) species. The electron induced sequential fragmentation of the parent CH3 group (from methoxy) to resultant CHx(a) occurs with an efficiency ∼3 orders of magnitude greater then the subsequent process of CHx(a) →C(a). Cross sections for various bond scission processes in electron and ion bombardment have been estimated.
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  • 95
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    The Journal of Chemical Physics 89 (1988), S. 2442-2462 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: The dynamics of worm-like polymer chains is considered for models with constrained bond lengths and elastic or constrained bond angles. Previous work attempted either the representation of the constraints on a complete basis set, which is impractical for chains of more than a few bonds, or the analytical preaveraging of inverse constraint matrices, which is too crude an approximation for local motions. Here the constraint matrices are evaluated from equilibrium simulations. A comparison of the analytical results with dynamical simulations shows good agreement for both global and local motions, indicating that the relevant memory in chains without rotational barriers does not extend past vibrational relaxation times. The dynamical diffusion operator is diagonal on a Rouse basis set to an adequate approximation, indicating that the effects of constraints can be imitated by the inclusion of internal friction in the basic Langevin equation. The internal friction approximation is useful even for extremely stiff chains, and the dependence of the apparent internal friction on mode number, chain stiffness, and chain length is examined. With fluctuating hydrodynamic interaction included, the constraints generate a coupling between local motions and translational diffusion which causes a small decrease in the translational diffusion constant. The effects are similar to those found in a previous phenomenological study of the effects of internal friction on translational diffusion, and do not seem to vanish with increasing chain length.
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  • 96
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    The Journal of Chemical Physics 89 (1988), S. 2504-2513 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: We have extended the bead–spring model of Zimm to include hydrodynamic interaction that depends upon the conformation of the polymer and hence the deformation rate. Our computational scheme is based on the model of Fixman, and it allows us to investigate numerically chains as large as 500 beads. The major approximation is the replacement of the hydrodynamic interaction tensor with its configurational average. We find that the incorporation of configuration-dependent hydrodynamic interaction qualitatively changes the Zimm predictions for both the shear and the elongational viscosity. In particular, the elongational viscosity becomes a multivalued function of the rate of elongation. This result is consistent with the coil-to-stretch transition predicted by de Gennes and Hinch.
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  • 97
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    The Journal of Chemical Physics 89 (1988), S. 2531-2538 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: Moffitt's exciton theory for α helices, an important cornerstone of the circular dichroism (CD) theory for biopolymers, was recently cast in doubt by a linear dichroism measurement of electric field oriented polypeptides [Yamaoka et al., J. Am Chem. Soc. 108, 4619 (1986)]. In particular the prediction that the polarization of an exciton split component at 208 nm should be parallel to the α-helical axis was not borne out. This revealed the inadequacy of previous experiments which used long polypeptides to prove the theory. We performed two experiments to measure the effect of orientation of α helices on CD, one with a short membrane peptide, alamethicin, oriented in defect-free multibilayers and another with long polypeptides oriented with electric field. We found the result of the experiment with alamethicin to be consistent with the exciton theory. An elaborate procedure was established to measure the CD of protein molecules embedded in lipid multibilayers with light incident on bilayers at various angles (the helical sections of alamethicin are perpendicularly embedded in bilayers). Thus we are able to measure the polarization of the 208 nm band and prove that it is indeed parallel to the α-helical axis. The problem of electric field oriented polypeptides is discussed in paper II.
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  • 98
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    The Journal of Chemical Physics 89 (1988), S. 2558-2571 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: The rotational state populations and the quadrupole and hexadecapole alignment moments of N2 scattered off clean Ag(111) are determined by resonance enhanced multiphoton ionization (REMPI). The scattered N2 is found to be highly aligned with its rotational angular momentum vector J parallel to the surface. The degree of alignment is found to increase with increasing rotational excitation. We see less than perfect alignment at intermediate J values indicating that the surface is not completely flat. The alignment is relatively insensitive to incident energy, incident angle, or surface temperature Ts. However, the rotational state population distributions show pronounced rainbows for higher incident energy and/or more grazing exit angle. The rotational state distributions are found to depend strongly on the final scattering angle at low Ts; this effect is markedly reduced at higher Ts. Time-of-flight measurements are used to determine the average velocity of the scattered N2 as a function of rotational level. It is found that higher rotational excitation correlates with lower average velocity and that the incident molecules lose 20%–30% of their translational energy to the solid. No correlation is found between velocity and alignment. A comparison is made with published results for the NO/Ag(111) system and a variety of theoretical models found in the literature.
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  • 99
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    The Journal of Chemical Physics 89 (1988), S. 2587-2588 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: The laser-power dependent Raman spectral changes observed for S1 trans-stilbene in hexane are analyzed in terms of the competition between a picosecond solvation process occurring immediately after the S1←S0 photoexcitation (by the pump laser) and the optical depletion of the S1 state caused by the Sn←S1 photoexcitation (by the probe laser). Such spectral changes were not observed in acetonitrile, indicating that the solvation process is absent in a polar solvent. The scheme of "optical depletion timing'' is demonstrated to be useful as an effective means to study picosecond phenomena by nanosecond spectroscopic measurements.
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  • 100
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    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 89 (1988), S. 2593-2593 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
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