Hostname: page-component-cd9895bd7-p9bg8 Total loading time: 0 Render date: 2024-12-25T03:05:15.940Z Has data issue: false hasContentIssue false

Angular terms in the electron density for the phosphine molecule

Published online by Cambridge University Press:  24 October 2008

R. A. Ballinger
Affiliation:
Department of PhysicsThe UniversitySheffield*
N. H. March
Affiliation:
Department of PhysicsThe UniversitySheffield*

Abstract

An attempt is made to calculate the first few angular terms in an expansion of the electron density for the phosphine molecule in Legendre polynomials. Such an expansion is appropriate for a model in which the three hydrogen nuclei are smeared to form a circular line charge. The Thomas–Fermi approximation has been used in conjunction with the variational method. The variational density employed includes p and f angular terms. An approximate charge density map is constructed for a plane containing the molecular axis in order to demonstrate the effect of the angular terms.

Type
Research Article
Copyright
Copyright © Cambridge Philosophical Society 1956

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.)

References

REFERENCES

(1)Ballinger, R. A. and March, N. H.Proc. Camb. Phil. Soc. 51 (1955), 504.Google Scholar
(2)Ballinger, R. A. and March, N. H.Proc. Camb. Phil. Soc. 51 (1955), 517.CrossRefGoogle Scholar
(3)Banyard, K. E. and March, N. H.Acta Cryst., Camb., 9 (1956), 385.CrossRefGoogle Scholar
(4)Brinkman, H. C.Physica,'s Grav., 20 (1954), 44.Google Scholar
(5)Brinkman, H. C. and Peperzak, B.Physica,'s Grav., 21 (1955), 48.Google Scholar
(6)Buckingham, R. A., Massey, H. S. W. and Tibbs, S. R.Proc. Roy. Soc. A, 178 (1941), 119.Google Scholar
(7)Glazer, H. and Reiss, H.J. Chem. Phys. 23 (1955), 937.Google Scholar
(8)Hund, F.Z. Phys. 77 (1932), 12.CrossRefGoogle Scholar
(9)March, N. H.Acta Cryst., Camb., 5 (1952), 187.CrossRefGoogle Scholar
(10)March, N. H.Proc. Camb. Phil. Soc. 48 (1952), 665.CrossRefGoogle Scholar
(11)Nielsen, H. H.J. Chem. Phys. 20 (1952), 759.CrossRefGoogle Scholar
(12)Smythe, W. R.Static and dynamic electricity (McGraw-Hill, 1939), p. 137.Google Scholar