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Remarks on the scattering of electrons by atomic fields

Published online by Cambridge University Press:  24 October 2008

E. C. Bullard  and
H. S. W. Massey
E. C. Bullard
Affiliation:
Clare CollegeTrinity College
H. S. W. Massey
Affiliation:
Clare CollegeTrinity College
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Extract

It is shown that, by use of the Thomas-Fermi atom, effective scattering cross-sections may be obtained from a single curve for all atoms (provided that the atomic number is not too small). This curve is calculated. The range of validity of such values has been obtained and Born's formula shown to be inaccurate for representing the scattering of electrons with velocities less than 400 volts except by atoms of very low atomic number. For the case of high velocities an approximate expression is obtained for the angular distribution allowing for screening by the extra-nuclear electrons.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 26 , Issue 4 , October 1930 , pp. 556 - 563
Copyright
Copyright © Cambridge Philosophical Society 1930

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References

* Thomas, , Proc. Camb. Phil. Soc. 23, p. 542 (1926);CrossRefGoogle ScholarFermi, , Zeit. f. Phys., 48, p. 73 (1928).CrossRefGoogle Scholar

† Born, , Zeits. f. Phys., 38, p. 803 (1926);CrossRefGoogle ScholarMott, , Proc. Roy. Soc., 127, p. 658 (1930).CrossRefGoogle Scholar

‡ Mott, loc. cit., Equation (5).

* (17) and (18) do not include any relativity correction. Mott, (Proc. Roy. Soc., 124, p. 425 (1929)) has shown that a factorCrossRefGoogle Scholar

should be added to allow for this.

* Mitchell, , Proc. Nat. Acad. Sci., 15, p. 520 (1929).CrossRefGoogle Scholar

† Mott, , Nature, 124, p. 986 (1929).CrossRefGoogle Scholar

‡ Bragg, W. L., and West, , Zeits. f. Kristallographie, 69, p. 118 (1928–1929).Google Scholar

§ Mott, , Proc. Roy. Soc., 127, p. 658 (1930).CrossRefGoogle Scholar

| Mott, , Proc. Camb. Phil. Soc., 25, p. 304 (1929).CrossRefGoogle Scholar

* Shown by the full line in Fig. 3.

† Brode, , Phys. Rev., 34, p. 673 (1929);CrossRefGoogle ScholarProc. Roy. Soc., 125, p. 134 (1929).CrossRefGoogle ScholarNormand, , Phys. Rev., 35, p. 1217 (1930).CrossRefGoogle Scholar

* Klemperer, , Ann. d. Phys., 3, p. 849 (1929).CrossRefGoogle Scholar

† Klemperer, loc. cit., Table II, p. 866.