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Determination of the value of the radial integral for electric-quadrupole transitions by measurement of the relative intensity of mixed multipole lines of Bi i

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Abstract

The contribution of electric-quadrupole radiation to line intensity is determined by the radial integral of r2 between single electron states, s2=e0Pnl(r)r2Pnl(r)dr. In this paper we give formulas for determining the value of s2 by measurements of the relative intensities of the mixed multipole transitions between levels of an ln configuration, the transitions originating from the same upper level. The formulas are used to evaluate s2 in the case of ground configuration of atomic bismuth. We find that the value of the radial integral is s2 = (9.0 ± 2.0) ea02.

© 1982 Optical Society of America

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