Fermi Surface of Lead from Kohn Anomalies

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Abstract
The dispersion relations for phonons in lead determined by neutron spectrometry exhibit a large number of Kohn anomalies, which may all be related to the Fermi surface in a consistent manner by considering both electron transitions diametrically across the Fermi surface and nondiametral transitions between points with parallel tangent planes. Factors affecting the size and shape of anomalies are reviewed. The detailed interpretation of anomalies leads to a mapping of the Fermi surface, and the result may be compared with that of Anderson and Gold, who used the de Haas-van Alphen method. There is fair agreement, with significant particular differences. The sizes of anomalies have been interpreted in terms of a screened ion-electron interaction.