Hostname: page-component-7479d7b7d-qlrfm Total loading time: 0 Render date: 2024-07-13T15:06:17.707Z Has data issue: false hasContentIssue false
  • English
  • Français

Momentum Distribution in Molecular Systems

Part I. The Single Bond

Published online by Cambridge University Press:  24 October 2008

C. A. Coulson
C. A. Coulson
Affiliation:
University CollegeDundee
Get access Rights & Permissions [Opens in a new window]

Extract

A general discussion is given of the momentum wave functions of simple molecules in which only single bonds occur; the momentum functions are obtained by transformation of the space wave functions, for which two distinct approximations are possible. In each case it appears that the presence of the bond decreases the mean component of the velocity in the direction of the bond, increases the mean component of velocity perpendicular to the bond, and increases the mean momentum averaged over all directions. The analysis is illustrated by consideration and H2; in the latter case the strong dependence upon the mutual orientation of the two electronic momenta is emphasized.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 37 , Issue 1 , January 1941 , pp. 55 - 66
Copyright
Copyright © Cambridge Philosophical Society 1941

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)Dirac, . Quantum mechanics (Oxford, 1935), Ch. ix.Google Scholar
(2)Pauling, and Podolsky, . Phys. Rev. 34 (1929), 109.CrossRefGoogle Scholar
(3)Kirkpatrick, Ross and Ritland, . Phys. Rev. 50 (1936), 928.CrossRefGoogle Scholar
(4)Hicks, . Phys. Rev. 52 (1937), 436.CrossRefGoogle Scholar
(5)Du Mond, and Kirkpatrick, . Phys. Rev. 52 (1937), 419.CrossRefGoogle Scholar
(6)Hughes, and Mann, . Phys. Rev. 53 (1938), 50.CrossRefGoogle Scholar
(7)Dirao, . Quantum mechanics (Oxford, 1935), p. 103.Google Scholar
(8)Pauling, and Wilson, . Introduction to quantum mechanics (New York, 1935), p. 335.Google Scholar
(9)Copson, . Proc. Cambridge Phil. Soc. 37 (1941), p. 102.CrossRefGoogle Scholar
(10)Wang, . Phys. Rev. 31 (1928), 579.CrossRefGoogle Scholar