Kramers' unrestricted Hartree–Fock and second‐order Møller–Plesset perturbation methods using relativistic effective core potentials with spin–orbit operators: Test calculations for HI and CH3I

The Kramers' restricted Hartree–Fock (KRHF) and second-order Moller–Plesset perturbation (KRMP2) methods using relativistic effective core potentials (RECP) with spin–orbit operators and two-component spinors are extended to the unrestricted forms, KUHF and KUMP2. As in the conventional unrestricted methods, the KUHF and KUMP2 methods are capable of qualitatively describing the bond breaking for a single bond. As a result, it is possible to estimate spin–orbit effects along the dissociation curve at the HF and MP2 levels of theory as is demonstrated by the test calculations on the ground states of HI and CH3I. Since the energy lowering due to spin–orbit interactions is larger for the I atom than for the closed-shell molecules, dissociation energies are reduced and bond lengths are slightly elongated by the inclusion of the spin–orbit interactions. © 1998 John Wiley & Sons, Inc. Int J Quant Chem 66: 91–98, 1998

[1]  W. C. Ermler,et al.  Ab initio relativistic effective potentials with spin-orbit operators. VII. Am through element 118 , 1997 .

[2]  Yoon Sup Lee,et al.  Kramers' restricted hartree—fock method for polyatomic molecules using ab initio relativistic effective core potentials with spin—orbit operators , 1992 .

[3]  Yoon Sup Lee,et al.  Second-order Møller-Plesset perturbation theory calculations with relativistic effective core potentials including spin-orbit operators , 1991 .

[4]  Russell M. Pitzer,et al.  Spin‐orbit (core) and core potential integrals , 1991 .

[5]  W. C. Ermler,et al.  Ab initio relativistic effective potentials with spin‐orbit operators. VI. Fr through Pu , 1991 .

[6]  K. Morokuma,et al.  Potential energy surfaces for rotational excitation of CH3 product in photodissociation of CH3I , 1988 .

[7]  Pekka Pyykkö,et al.  Relativistic effects in structural chemistry , 1988 .

[8]  Russell M. Pitzer,et al.  A progress report on the status of the COLUMBUS MRCI program system , 1988 .

[9]  W. C. Ermler,et al.  Abinitio relativistic effective potentials with spinorbit operators. III. Rb through Xe , 1987 .

[10]  D. Yarkony,et al.  On the radiative lifetimes of the b 1Σ+ and a 1Δ states in NCl , 1987 .

[11]  Walter C. Ermler,et al.  Abinitio relativistic effective potentials with spin‐orbit operators. II. K through Kr , 1986 .

[12]  Walter C. Ermler,et al.  Ab initio relativistic effective potentials with spin–orbit operators. IV. Cs through Rn , 1985 .

[13]  M. Pélissier,et al.  Ab initio molecular calculations including spin-orbit coupling. I. Method and atomic tests , 1983 .

[14]  P. A. Christiansen,et al.  Relativistic ab initio molecular structure calculations including configuration interaction with application to six states of TlH , 1982 .

[15]  W. C. Ermler,et al.  AB initio effective core potentials including relativistic effects. A procedure for the inclusion of spin-orbit coupling in molecular wavefunctions , 1981 .

[16]  P. Hafner The Kramers restricted Hartree-Fock approach , 1980 .

[17]  W. C. Ermler,et al.  Abinitio effective core potentials including relativistic effects. V. SCF calculations with ω–ω coupling including results for Au2+, TlH, PbS, and PbSe , 1980 .

[18]  W. Schwarz,et al.  Molecular spinors from the quasi-relativistic pseudopotential approach , 1979 .

[19]  W. R. Wadt,et al.  Ab initio studies of the electronic structure of UF6, UF6/+/, and UF6/-/ using relativistic effective core potentials , 1979 .

[20]  Clemens C. J. Roothaan,et al.  New Developments in Molecular Orbital Theory , 1951 .

[21]  M. Plesset,et al.  Note on an Approximation Treatment for Many-Electron Systems , 1934 .

[22]  K. Morokuma,et al.  Ab initio potential energy surfaces and trajectory studies of A‐band photodissociation dynamics: CH3I*→CH3+I and CH3+I* , 1991 .

[23]  W. C. Ermler,et al.  Spin-Orbit Coupling and Other Relativistic Effects in Atoms and Molecules , 1988 .

[24]  W. C. Ermler,et al.  Relativistic Effects in Chemical Systems , 1985 .

[25]  W. J. Stevens,et al.  Effective Potentials in Molecular Quantum Chemistry , 1984 .