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  • 1
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 110 (1999), S. 1497-1507 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: The metal-ligand equilibrium distance, Re, vibrational frequencies, crystal-field (CF) and charge transfer (CT) transition energies, Huang–Rhys factors, Stokes shift, as well as oscillator strengths of allowed CT transitions due to Cr3+ in fluorides, have been investigated using density functional theory. CrF63− and CrF6K8K611+ clusters simulating Cr3+ in the K3CrF6 lattice have been used. In the CrF6K8K611+ cluster the computed equilibrium distance using a generalized gradient approximation functional is Re=1.88 Å and an overall agreement with experimental spectroscopic parameters is achieved. As salient feature it is pointed out that 6% errors in Re can lead to errors of ∼40% and ∼25%, respectively, in the calculated vibrational frequencies and the 10 Dq parameter. Moreover the force constant, kT, involved in the A1g symmetrical mode at the equilibrium distance is shown to be mainly determined by the interaction between the central ion and the ligands while the interaction between the latter ones and K+ neighbors leads to a contribution which is about 25% of kT. The calculated oscillator strengths confirm that the transitions involving the ligand t1u orbital and the antibonding eg*↑ and eg*↓ ones should be the most intense among the nine allowed CT transitions. Moreover, CT transitions connecting two orbitals which do not have the same σ or π character are found to display an oscillator strength much smaller than for the rest of the cases. This idea is shown to be also valid for other transition-metal complexes. The computed Huang–Rhys factor associated with the A1g mode, SA, for the lowest CT transition is shown to be about ten times higher than that corresponding to the 4T2g CF state and explains the experimental bandwidth. The origin of this important difference is discussed. Finally, the electronic relaxation in the first 4T2u CT state is shown to induce an important decrement (∼40%) of the 4A2g→4T2u transition energy and an increase of the total charge on the central ion of only 0.2 e. © 1999 American Institute of Physics.
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  • 2
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 83 (1985), S. 6071-6083 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: In this work are reported the theoretical expressions for the [g], hyperfine, and superhyperfine (shf) tensors of a d9 square-planar complex within a molecular orbital (MO) scheme. These expressions include contributions arising from crystal field and charge transfer excitations calculated up to third and second order perturbations, respectively. This makes the present framework more general than those previously used. Through those expressions we have derived from the experimental EPR and optical data the MO coefficients corresponding to the valence b1g(x2−y2), b2g(xy), and eg(xz,yz) levels and also the core polarization contribution K to the hyperfine tensor for the systems CuCl2−4, CuBr2−4, and CdCl2:Cu2+. The 3d charge obtained for CuCl2−4 is equal to 0.61, 0.83, and 0.85 for the antibonding 3b1g, 2b2g, and 2eg levels, respectively. These figures are much closer to the Xα results by Bencini and Gatteschi [J. Am. Chem. Soc. 105, 5535 (1983)] than to those by Desjardins et al. [J. Am. Chem. Soc. 105, 4590 (1983)]. The σ and π covalency for CuBr2−4 are both higherthan for CuCl2−4 in accord to the lower electronegativity for bromine. However, only for the antibonding 3b1g level of CuBr2−4 have we obtained an electronic charge lying mainly on ligands. The covalency of CdCl2:Cu2+ is smaller than that found for CuCl2−4, a fact associated to a higher metal–ligand distance for the former. Evidence of this statement are also given from the analysis of crystal-field spectra and isotropic shf constant. The values of K derived for CuCl2−4 (128.1×10−4 cm−1), CuBr2−4 (103.6×10−4 cm−1), and CdCl2:Cu2+ (123.9×10−4 cm−1) point out the dependence of K on the equatorial covalency but also on the existence of axial ligands. The [g] tensor of CuBr2−4 is dominated by the charge transfer contribution while the crystal field one is negative. Finally an analysis of the importance of each one of the involved contributions to the spin-Hamiltonian parameters is reported for the three systems, together with the results obtained through a full diagonalization within crystal field and charge transfer states.
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  • 3
    Electronic Resource
    Electronic Resource
    New York, NY : Wiley-Blackwell
    International Journal of Quantum Chemistry 61 (1997), S. 563-570 
    ISSN: 0020-7608
    Keywords: Chemistry ; Theoretical, Physical and Computational Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: The oscillator strengths f1, f2, and f3 corresponding to the three allowed 2eu, → 3b1g, 3eu → 3b1g, and 1b2u → 3b1g charge-transfer transitions of the D4h CuCl2-4 -complex together with their dependence on the metal-ligand distance R are investigated using the self-consistent charge extended Hückel (SCCEH) and MSXα methods. The main conclusions of this work are the following: (1) f1 and f2 directly reflect the σ-character displayed by 2eu and 3eu orbitals. When this character is suppressed, f1 and f2 decrease by an order of magnitude and then become comparable to f3. This trend concurs with experimental findings. (2) The different σ-character exhibited by 2eu and 3eu orbitals arises mainly from the 4p(Cu) admixture. A similar one involving the 3s(Cl) orbitals plays a minor role. When such admixtures are neglected, the two wave functions |2eu〉 and |3eu〉 can simply be written as |σ〉 + |π〉 and |σ〉 - |π〉, respectively. The inclusion of 4p(Cu), although small, produces an interference between |σ〉 + |π〉 and |σ〉 - |π〉, enhancing the σ-character in 2eu and destroying it in 3eu. This explains well the asymmetry between f1 and f2 observed experimentally. (3) The σ-character in 2eu and 3eu together with f1 and f2 are found to be nearly independent upon R. (4) Also, the separation, Δ, between the energies of the 2eu → 3b1g and 3eu → 3b1g transitions was explored. It is shown that Δ is determined mainly by the ligand-ligand interaction and, thus, is strongly dependent upon R. © 1997 John Wiley & Sons, Inc.
    Additional Material: 3 Ill.
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  • 4
    Electronic Resource
    Electronic Resource
    New York, NY : Wiley-Blackwell
    International Journal of Quantum Chemistry 52 (1994), S. 1051-1065 
    ISSN: 0020-7608
    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: MS-Xα and SCCEH calculations on the Ag2+ complexes AgF64- and AgCl64- (displaying an elongated D4h symmetry) have been carried out for a better understanding of their experimental optical and EPR properties. As salient features, the present work supports that the unpaired electron in AgCl64- spends a little more time on ligands than on Ag2+, in agreement with the previous analysis of EPR and optical data for KCl:Ag2+. Furthermore, the five experimental optical transitions observed in that case are reasonably assigned. The first transition (observed at 12,500 cm-1) is assigned to a jump involving the 5a1g orbital built mainly (∽70%) from 3p orbitals of axial ligands, a fact that reflects the distinct level scheme for AgCl64- when compared to that for more ionic complexes. Calculations on AgF64- and AgF42- performed as a function of the equatorial Ag2+ -F- distance led to a reasonable understanding of experimental gyromagnetic and superhyperfine tensors displayed by Ag2+ in fluorides. The different relative decrease undergone by g‖- go (8%) and g ⊥ - go (28%) on passing from CsCdF3:Ag2+ to RbCdF3:Ag2+ is shown to be consistent with the formation of AgF64- and AgF42- complexes, respectively, related to the different substitutional position of Ag2+ in such lattices. The decrement of about 8.5% experienced by both g‖ - go and g⊥ - go values on going from CsCdF3:Ag2+ to NaF:Ag2+ is pointed out to reflect the different electrostatic potential (exerted by the rest of the lattice upon the complex) seen by AgF64- embedded in NaCl or perovskite-type lattices. © 1994 John Wiley & Sons, Inc.
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  • 5
    Electronic Resource
    Electronic Resource
    New York, NY : Wiley-Blackwell
    International Journal of Quantum Chemistry 52 (1994), S. 829-835 
    ISSN: 0020-7608
    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: Experimental results on 3d Oh complexes in insulators reveal that 10Dq α R-n, where R is the metal-ligand distance and n is close to five. This strong dependence determines the Huang-Rhys factor, S(A1g), associated to the symmetric A1g mode of the first excited state of complexes like MnX64- and CrX63- (X = halide) and makes it possible to measure R changes down to ∽ 10-3 Å. This work is devoted to understanding, within a molecular orbital framework, the microscopic origin of such a dependence, which is related to the corresponding one displayed by the transferred spin densities fσ, fs, and fπ. The analysis is focused on MnF64-. As a main result, it is shown that though fσ ≫ fs the interaction between d(eg) orbitals and 2s orbitals of F- is not only primarily responsible for the R dependence of 10Dq but also makes a significant contribution to the 10Dq value itself. The present work thus shows that the significant dependence of 10Dq upon R is ultimately related to the strong dependence of fs and the isotropic superhyperfine constant As upon R displayed by the experimental results of several 3d impurities. © John Wiley & Sons, Inc.
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  • 6
    Electronic Resource
    Electronic Resource
    New York, NY : Wiley-Blackwell
    International Journal of Quantum Chemistry 61 (1997), S. 627-634 
    ISSN: 0020-7608
    Keywords: Chemistry ; Theoretical, Physical and Computational Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: To obtain better insight into the optical and EPR properties exhibited by the KCl:Ag0 system, MS-Xα and self-consistent charge extended Hückel calculations as a function of the metal-ligand distance, R, were carried out. As calculations on simple AgCl6-6 clusters led to inconsistent results (underlining that Ag0 in KCl is a kind of shallow impurity), studies on (AgCl6K12Cl8)2- and (AgCl6K12Cl8K6Cl24K24)4+ were performed. The present results indicate that the stability of the Ag0 center in KCl is related to a strong outward relaxation (of about 20%) of ligands, supporting previous analysis of the isotropic superhyperfine constant. Also, they explain the existence of one (and not two) charge-transfer transitions in the V-UV region, in spite of the zero nominal charge of the silver atom. As a curious feature, the e*g and t*2g levels are practically degenerate and exhibit a pure 4d character. This fact thus explains why the spin-orbit splitting seen in the 4d10 5s → 4d9 5s2 transitions is the same as in free Ag0. Although the a*1g level coming from 5s(Ag) is rather localized, it is shown that in the resonant t*1u level [arising from 5p(Ag)] the electron spends only 25% of its time on silver. This different behavior is related to the reduction of the 5s → 5p transition energy on passing from free atom to KCl:Ag0, which is in agreement with experimental findings. © 1997 John Wiley & Sons, Inc.
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  • 7
    Publication Date: 2010-01-21
    Print ISSN: 0031-9007
    Electronic ISSN: 1079-7114
    Topics: Physics
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  • 8
    Publication Date: 2009-07-31
    Print ISSN: 1098-0121
    Electronic ISSN: 1550-235X
    Topics: Physics
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  • 9
    Publication Date: 2004-11-22
    Print ISSN: 0031-9007
    Electronic ISSN: 1079-7114
    Topics: Physics
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  • 10
    Publication Date: 2019-01-14
    Print ISSN: 1932-7447
    Electronic ISSN: 1932-7455
    Topics: Chemistry and Pharmacology
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