Open AccessThe calculation of internal conversion coefficients of γ-rays
Author(s) -
J. B. Fisk
Publication year - 1934
Publication title -
proceedings of the royal society of london. series a, containing papers of a mathematical and physical character
Language(s) - English
Resource type - Journals
eISSN - 2053-9150
pISSN - 0950-1207
DOI - 10.1098/rspa.1934.0026
Subject(s) - physics , atomic physics , electron shell , electron , internal conversion , dipole , field (mathematics) , nucleus , atomic number , shell (structure) , quantum mechanics , ion , materials science , mathematics , pure mathematics , composite material , biology , ionization , microbiology and biotechnology
The purpose of this paper is the calculation of theoretical values for the internal conversion coefficient I, ofγ -rays converted K-and L1 -shells. Hulme has obtained values for I in the K-shell assuming the radiating nucleus to emit the field of a dipole; while Taylor and Mott have assumed a quadripole field. The internal conversion coefficient has here been calculated for a number of values ofhv for the LI -shell applying the theory developed by Taylor and Mott; the previous results for the K-shell have been extended and slight errors in the region of soft γ-rays have been corrected. Finally, the limiting values for very softγ -rays have been obtained for both K-and LI -shells, with both quadripole and dipole fields. The calculations have been carried through using a value of the charge number Z = 84. The correction for RaB (Z = 82) would be small. Recently Taylor and Mott have extended their theory to account for the interaction between nucleus and the extranuclear electrons. They have shown that the "internal conversion coefficients" as calculated in H II and TM I are not a measure of the ratio Number of β-particles ejected in timedt /Number ofγ -quanta leaving the nucleus in timedt , but, apart from a factor in general effectively unity, give I ≡ Number of β-particles ejected in timedt /Number ofγ -quantaescaping from the system in timedt .