Determination of Recoilless Fractions from Mössbauer Scattering

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Abstract
The intensity of the recoilless and nonrecoilless resonant scattering of Mössbauer gamma rays for single line Lorentzian energy distributions is calculated. The scattered intensities are expressed in terms of a scattering function which contains the parameters of the scatterer. This scattering function has been evaluated for a wide range of values of the recoilless fraction, electronic absorption, thickness, and linewidth of the scatterer. It can be used to determine source and scatterer recoilless fractions from the total scattered intensities. If the recoilless fraction is sufficiently large the recoilless and the nonrecoilless part of the resonantly scattered intensity can be determined, with the aid of numerical calculations given, from a measurement of the transmission of the scattered gamma rays through a resonant absorber. The ratio of the recoilless to the nonrecoilless part of the resonantly scattered intensity does not depend very sensitively upon the properties of the source and can be used to determine unambiguously the recoilless fraction of the scatterer.