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Springer series in chemical physics

Polarizabilities and Dispersion Coefficients

S. H. Patil, Kwong Tin Tang

Published Jan 1, 2000• 0 citations
Publisher
DOI
10.1007/978-3-642-57317-0_4

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The dynamic scalar and tensor polarizabilities of Sc and Ti are computed with time-dependent density functional theory. These polarizabilities are used to compute the isotropic and anisotropic dispersion interactions in ScHe and TiHe. We find C6,0(ScHe)=30.00{C}_{6,0}(\mathrm{ScHe})=30.00C6,0​(ScHe)=30.00, ${C}_{6,2}(\mathrm{ScHe})=\ensuremath{-}1.63$, C6,0(TiHe)=28.40{C}_{6,0}(\mathrm{TiHe})=28.40C6,0​(TiHe)=28.40, and ${C}_{6,2}(\mathrm{TiHe})=\ensuremath{-}0.90$ (Eha06)({E}_{h}{a}_{0}^{6})(Eh​a06​). We show that an estimate of the dispersion anisotropy based on static polarizabilities results in an overestimation by a factor of 2.
The van der Waals coefficients, C6,C8,{C}_{6},{C}_{8},C6​,C8​, and C10{C}_{10}C10​ for the alkali-metal (Li, Na, K, and Rb) and alkaline-earth-metal (Be, Mg, Ca, and Sr) atoms are estimated by a combination of ab initio and semiempirical methods. Polarizabilities and atom-wall coefficients are given as a diagnostic check, and the lowest order nonadiabatic dispersion coefficient, D8{D}_{8}D8​ and the three-body coefficient, C9{C}_{9}C9​ are also presented. The dispersion coefficients are in agreement with the available relativistic many-body perturbation theory calculations. The contribution from the core was included by using constrained sum rules involving the core polarizability and Hartree-Fock expectation values to estimate the f-value distribution.