A transformation of the transverse Coulomb vector potential was implemented to calculate molecular magnetic properties via the random-phase approximation (RPA) within the framework of a ´´longitudinal gauge.´´ In this gauge, the diamagnetic contribution to magnetic susceptibility is a tensor with equal diagonal components as in atoms, irrespective of molecular symmetry, whereas diagonal and average diamagnetic contributions to the nuclear magnetic shielding are the same as in the Coulomb gauge. Near-Hartree-Fock magnetic susceptibility and nuclear magnetic shielding tensors were evaluated for a set of small molecules, HF, H2O, NH3, and CH4, employing extended Gaussian basis sets. The peculiar features of the longitudinal gauge, and the fulfillment of a series of sum rules involving the virial operator, which must be satisfied to guarantee gauge invariance of total magnetic tensors, were exploited to check the degree of convergence of theoretical values and to estimate the corresponding Hartree-Fock limit for the properties.

Calculation of magnetic properties of HF, H2O, NH3, and CH4 molecules using a longitudinal gauge for the vector potential / Ferraro, Mb; Caputo, Mc; Varela, Mpb; Lazzeretti, Paolo. - In: INTERNATIONAL JOURNAL OF QUANTUM CHEMISTRY. - ISSN 0020-7608. - STAMPA. - 66:(1998), pp. 31-45.

Calculation of magnetic properties of HF, H2O, NH3, and CH4 molecules using a longitudinal gauge for the vector potential

LAZZERETTI, Paolo
1998

Abstract

A transformation of the transverse Coulomb vector potential was implemented to calculate molecular magnetic properties via the random-phase approximation (RPA) within the framework of a ´´longitudinal gauge.´´ In this gauge, the diamagnetic contribution to magnetic susceptibility is a tensor with equal diagonal components as in atoms, irrespective of molecular symmetry, whereas diagonal and average diamagnetic contributions to the nuclear magnetic shielding are the same as in the Coulomb gauge. Near-Hartree-Fock magnetic susceptibility and nuclear magnetic shielding tensors were evaluated for a set of small molecules, HF, H2O, NH3, and CH4, employing extended Gaussian basis sets. The peculiar features of the longitudinal gauge, and the fulfillment of a series of sum rules involving the virial operator, which must be satisfied to guarantee gauge invariance of total magnetic tensors, were exploited to check the degree of convergence of theoretical values and to estimate the corresponding Hartree-Fock limit for the properties.
1998
66
31
45
Calculation of magnetic properties of HF, H2O, NH3, and CH4 molecules using a longitudinal gauge for the vector potential / Ferraro, Mb; Caputo, Mc; Varela, Mpb; Lazzeretti, Paolo. - In: INTERNATIONAL JOURNAL OF QUANTUM CHEMISTRY. - ISSN 0020-7608. - STAMPA. - 66:(1998), pp. 31-45.
Ferraro, Mb; Caputo, Mc; Varela, Mpb; Lazzeretti, Paolo
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11380/10378
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