Abstract

Results are presented for a semi-empirical pseudopotential model for the Fermi surface of indium which was developed during a study of the effect of alloying on indium by Holtham and Parsons (see Proc. Int. Conf. on Low Temp. Phys., vol.4, p.222 (1972) and ibid., vol.6, p.1481 (1976)). The authors find U111=-0.0550(95), U002=-0.0229(93) and U200=0.0179(72) Ryd, with lambda 4p=0.0309(57) and epsilon F=0.6377(28) Ryd. The model is similar to that proposed by Hughes and Shepherd (1969) although a different form for the spin-orbit interaction is used and the symmetry of the basis states is fully taken into account. The model predicts no connectivity of the second zone hole surface near T or W and predicts no swelling at the junctions of the third zone beta -arm electron surface. Hughes and Shepherd's conclusion that spin-orbit effects are needed to describe the third zone electron surface accurately, is confirmed, and the recent contrary finding of van Weeren and Anderson (1973) is discussed. The viability of the present model is investigated by computing Fermi surface calipers, effective masses and Sondheimer oscillation frequencies. These results, together with the variation of extremal cross sections under either hydrostatic pressure or uniaxial stress, are then compared with experiment.

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