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Momentum distribution in molecular systems. Part VI. Shape of the Compton line for methane CH4

Published online by Cambridge University Press:  24 October 2008

C. A. Coulson  and
W. E. Duncanson
C. A. Coulson
Affiliation:
University CollegeDundee
W. E. Duncanson
Affiliation:
University CollegeLondon C/o University College of North Wales Bangor
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Extract

Calculations have been made of the momentum distribution and the shape of the Compton profile for gaseous methane, using the Dirac transformation theory and three distinct approximations (molecular orbital, electron-pair and self-consistent-field) to the true molecular wave functions. The bearing of the results upon the validity of the original wave functions is discussed; it is concluded that the exponents in molecular wave functions should be approximately 1·1 times greater than in corresponding atomic wave functions. Comparison is made with experimental electron scattering results.

Our thanks are due to Prof. Massey for providing us with the numerical tables of the self-consistent-field for methane in advance of publication, and to Mr E. G: Phillips of the Mathematics Department of Univeristy College of North Wales, for the loan of a calculating machine.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 38 , Issue 1 , January 1942 , pp. 100 - 108
Copyright
Copyright © Cambridge Philosophical Society 1942

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References

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