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- W4246631764 abstract "Publisher SummaryThis chapter presents a comparison between Thomas' and Kramers' expressions for the capture of electrons. In the first place, Thomas' expression is unsymmetrical in Z1, and Z2. This is because of the very nature of the calculation and to the fact that whereas a fixed distance r between the electron and the nucleus Z2 is introduced as the initial state, an arbitrary state of binding of the electron is introduced as the final state when the electron has been captured by Z1. Concerning capture between two arbitrary estates, Kramers also finds a symmetrical formula when the correct interchanges are introduced between Z1 and Z2, and the quantum numbers n1 and n2. The reason why the formulae, quite apart from the symmetry problem, do not agree, is that Thomas' mechanical orbit calculation cannot be retained when s, as it is supposed, is larger than Z1 and Z2 , implying that the relative velocity of the particles is larger than the electronic velocities in the two atoms. If, to find a common region of applicability, Z1 = Z2 = s is mentioned. It is seen that the two formulae, so very different, give very nearly the same order of magnitude for the two effects. The chapter presents an attempt at understanding the cause of the difference between Kramers' and Thomas' formulae for large values of s in comparison to Z. The cross section for those collisions between the electrons and the nucleus, in which the velocity of the electron after the collision is of the same order of magnitude as that of the nucleus, is presented by a formula." @default.
- W4246631764 created "2022-05-12" @default.
- W4246631764 date "1987-01-01" @default.
- W4246631764 modified "2023-09-27" @default.
- W4246631764 title "XVI. A Comparison Between Thomas' and Kramers' Expressions for the Capture of Electrons" @default.
- W4246631764 doi "https://doi.org/10.1016/s1876-0503(08)70166-x" @default.
- W4246631764 hasPublicationYear "1987" @default.
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