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:
This article considers 2 × 2, 3 × 3, 4 × 4, and 5 × 5 Gram determinantal inequalities among 〈rn〉, where r is the distance from the atomic nucleus. The elements of these determinants involve n = -1, 0, 1; n = -1, 0, 1, 2, 3; n = -1, 0, 1, 2, 3, 4, 5; and n = -1, 0, 1, 2, 3, 4, 5, 6, 7. The 2 × 2, 3 × 3, 4 × 4, and 5 × 5 determinantal inequalities are used to obtain lower bound estimates of 〈1/r〉 for atoms of spherically symmetric charge distributions. The 2 × 2, 3 × 3, and 4 × 4 inequalities have been applied to He, Ne, Ar, Kr, Xe; Li, Na, K, Rb; and Be, Mg, Ca, Sr. The 5 × 5 inequality has been applied only to He, Li, and Be. It is found that the lower bound values of 〈1/r〉, for all atoms considered, appear to converge to the quantum mechanical values of Boyd, who calculated them with the Roothaan-Hartree-Fock wavefunctions of Clementi and Roetti. © 1994 John Wiley & Sons, Inc.
Additional Material:
3 Tab.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1002/qua.560520823
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