Hostname: page-component-77c89778f8-7drxs Total loading time: 0 Render date: 2024-07-18T05:04:13.562Z Has data issue: false hasContentIssue false

Molecules with tetrahedral and octahedral symmetry. III. Theoretical basis of the ‘smoothing approximation’

Published online by Cambridge University Press:  24 October 2008

R. A. Ballinger
Department of PhysicsThe UniversitySheffield
N. H. March
Department of PhysicsThe UniversitySheffield


In Parts I and II of this series (March(6); Ballinger and March(1)), we considered in detail the application of the Thomas-Fermi (T.F.) approximation to molecules with tetrahedral and octahedral symmetry. In these papers, following the work of Buckingham, Massey and Tibbs(2), who obtained results for CH4, we averaged the nuclear field over angles (the ‘smoothing approximation’) and considered the electrons as though they moved in the resulting central field. In this way, it was possible in (6) to carry through self-consistent (T.F.) calculations giving the electron distributions and potential fields in tetrahedral and octahedral molecules.

Research Article
Copyright © Cambridge Philosophical Society 1955

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)



(1)Ballinger, R. A. and March, N. H.Proc. Camb. phil. Soc. 51 (1955); 504.CrossRefGoogle Scholar
(2)Buckingham, R. A., Massey, H. S. W. and Tibbs, S. R.Proc. roy. Soc. A, 178 (1941), 119.Google Scholar
(3)Corson, E. M.Perturbation methods in the quantum mechanics of n-electron systems (London, 1951), p. 168.Google Scholar
(4)Cundy, H. M.Proc. roy. Soc. A, 164 (1938), 420.Google Scholar
(5)Devonshire, A. F.Proc. roy. Soc. A, 153 (1936), 601.Google Scholar
(6)March, N. H.Proc. Camb. phil. Soc. 48 (1952), 665.Google Scholar