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  • 1
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 104 (1996), S. 8493-8499 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: The contracted Gaussian-type function (CGTF) sets by Huzinaga and co-workers are improved by an extensive optimization of exponents and contraction coefficients for the first-row atoms Li to Ne. The largest improvements in the total energy are 1.043, 0.096, 0.122, 0.23, 0.24, and 0.36 mhartrees, respectively, for the (33/3), (43/4), (53/5), (64/5), (64/6), and (74/7) sets. The virial ratios are considerably improved by the present optimization. The change in exponents and contraction coefficients amounts to 19%. Splitting the valence part of the CGTFs and adding polarization functions, we have examined the effect of the polarization functions on the properties of N2 molecule in self-consistent-field (SCF) and configuration interaction (CI) calculations. Referring to the results of a very large basis set, we confirmed that both in the SCF and CI calculations, polarization functions added to the present CGTF sets almost work as pure polarization functions; no basis set superposition error was found both in the SCF and CI calculations except for (321/21) and its family derived from (33/3) set in the SCF calculations. © 1996 American Institute of Physics.
    Type of Medium: Electronic Resource
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  • 2
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 88 (1988), S. 6419-6430 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: The band structures of Fe clusters Fe1–Fe6 were investigated by symmetry-adapted and symmetry-broken SCF calculations. For Fe2, configuration interaction (CI) calculations were performed at the equilibrium internuclear distance (Re) of 2.02 A(ring) and at another long distance of 2.60 A(ring). The ground state of Fe2 at Re was hardly described by a single configuration, which was also the case for the ionized states. The Fermi level (the first ionized state) of Fe2 at Re was composed of a 3d electron ionized state (3d−1), and it lay 4.8 eV below the vacuum level by the CI calculations. The result was 1 eV small compared with the experimental value given by Rohlfing and co-workers. On the other hand, the single configuration approximation (SCF) worked for the larger bond distance (2.60 A(ring)). The Fermi level again consisted of the 3d−1 state, but the d hole was localized at one of the constituent atoms. This was also observed in larger clusters. In the SCF approximation, the atomic 3d ionization potential was considerably smaller (2.4 eV) than the experimental value. Therefore, atomic correlation correction was necessary for Fe2–Fe6, and the calculated Fermi levels modified with the atomic correlation correction were 5.3, 5.9, 5.9, 6.4, and 5.9 eV for Fe2, Fe3, Fe4, Fe5, and Fe6, respectively, which were reasonably close to the experimental values of 6.3, 6.4–6.5, 6.3–6.5, 5.9–6.0, and 5.8–6.0 eV. The ionized states with two d holes were found near the Fermi level for larger clusters.
    Type of Medium: Electronic Resource
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  • 3
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 88 (1988), S. 1828-1836 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: The Fe2 molecule was studied by ab initio SCF and CI calculations. The basis sets as well as reference configuration state functions were carefully chosen. Results showed the ground state of the molecule to be 7Δu. The state could not be expressed as a single configuration state function. The equilibrium nuclear distance was 2.02 A(ring), which is close to the experimental value (1.87–2.02 A(ring)). Resulting dissociation energy was 0.94 eV relative to 3d7 4s1 5F but −1.29 eV relative to 3d6 4s2 5D. In the anion state, an attached electron was found to be in an antibonding orbital (4pσu), and calculated electron affinity (0.45 eV) was favorably compared with the experimental value (0.90 eV). Calculations revealed the excited states to lie at 0.69 eV above the ground state, while that observed by negative ion photoelectron spectroscopy was 0.53 eV. A 20% reduction of vibrational frequency was also found in the excited and anion states. Theoretical results were in harmony with experimental ones, except for the dissociation energy value.
    Type of Medium: Electronic Resource
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  • 4
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 115 (2001), S. 9160-9164 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: A simple method is proposed in which basis sets of Gaussian-type functions (GTFs), suitable for relativistic Dirac–Fock–Roothaan (DFR) calculations, are derived from their nonrelativistic analogs. The relativistic basis set is obtained through augmenting the nonrelativistic one by several GTFs determined from relativistic calculations for hydrogen-like atoms. The usefulness and reliability of the method is illustrated by DFR calculations of the ground-state energies of lanthanide and actinide atoms. © 2001 American Institute of Physics.
    Type of Medium: Electronic Resource
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  • 5
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 86 (1987), S. 2891-2898 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: Accurate Slater type function (STF) Hartree–Fock (HF) wave functions are calculated from B to Ca. The STF's have a form of rne−γr and power (n) of r is carefully chosen. The total atomic energies agree with those of numerical HF (NHF) within the errors of 3×10−6 and 1×10−5 a.u. for B to Ne and for Na to Ca, respectively. It will be also shown that for the N2 molecule, the present atomic STF HF set augmented with four 3d, three 4f, and one 5g STF polarization functions gives the total energy of −108.9937 a.u. at R=2.068 a.u. which is quite close to that of NHF, −108.9939 a.u. It is found that one 5g type polarization function is indispensable for getting the accurate HF value. The near HF wave function for the P2 molecule, which has the same quality as that of N2, will be also shown in the present work. The basis sets for N2 are applied to configuration interaction calculations in order to see the role of the polarization functions on the correlation effects.
    Type of Medium: Electronic Resource
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  • 6
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 85 (1986), S. 2875-2884 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: The electronic structure of small nickel clusters (Ni1–Ni6) has been investigated by ab initio SCF and CI calculations. Among others the symmetry broken SCF calculations have been performed for the ionization of the clusters, and it is found that an ionized state resulting from electron removal from a 3d-like orbital is the Fermi level or quite close to the Fermi level. The resulting d hole is shown to localize at one of the constituent atoms. The calculated band structure of the clusters is found to be similar to that of the solid Ni. The calculated first I.P. (Fermi energy with sign changed) is 4.5 eV for Ni1–Ni6, which is favorably compared with experimental results given by Rohlfing and co-workers.
    Type of Medium: Electronic Resource
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  • 7
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 85 (1986), S. 5895-5899 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: The SCF wave functions are calculated with Slater-type functions (STFs) from Sc to Zn. The obtained total energies agree with those of numerical Hartree–Fock (NHF) given by Fischer, while they are somewhat different (≤0.0005 a.u.) from those of NHF given by Hay. The resulting atomic HF wave function for Cu has been applied to the Cu2 molecule as the basis set.
    Type of Medium: Electronic Resource
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  • 8
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 82 (1985), S. 5608-5615 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: This paper deals with the electronic structure of the Zn2 and Zn3 clusters. Independent ab initio SCF calculations are performed for the ground and excited states of Zn2, and the SCF MOs are determined for respective states. By using these MOs, CI calculations taking account of the correlation effects among 4s- and 4p-like electrons are carried out. This is an improvement over previous CI calculations, which used the occupied and virtual (or improved virtual) MOs computed for the ground state, and thus disregarded the reorganization effect. The calculated excitation energies for Zn2 are 0.8–1.3 eV smaller than experiment. The inclusion of the correlation between the inner (3d-like) and valence (4s- and 4p-like) shells ameliorates the result only slightly (by 0.03–0.05 eV). The remaining discrepancy is attributed to relatively poor description of the ground state as compared with that of the excited states. Similar calculations are performed for the electronic structure of Zn3. Calculated excitation energies are compared with the absorption spectra of Zn aggregates (size unknown) in an argon matrix.
    Type of Medium: Electronic Resource
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  • 9
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 100 (1994), S. 8140-8144 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: Numerical Hartree–Fock (NHF) calculations have been performed for the singly charged cations Li+–Cs+ and anions H−–I− in their ground states. For the cations, the NHF values in the literature are found to be insufficiently accurate, while for the anions our NHF study covers the whole series H−–I− (except Sc− and Pd−) for the first time. Atomic ionization potentials and electron affinities are computed and compared with experiment.
    Type of Medium: Electronic Resource
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  • 10
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 101 (1994), S. 4945-4948 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: Numerical Hartree–Fock calculations have been performed for low-lying excited states of the neutral atoms from He to Ar. Total energies, orbital energies, and the mean values of r of the outermost orbitals of each symmetry are tabulated as an aid to calibration of algebraic basis sets.
    Type of Medium: Electronic Resource
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