Abstract
The effect of lattice distortion on the resistivity of vacancies in the simple metals Na, K and Al has been calculated within the framework of the weak pseudopotential approximation. The required structure factor S( q) of the strained lattice has been calculated to first order in the displacements from undistorted equilibrium positions by means of a method due to Kanzaki which avoids continuum or semi-discrete approximations made in previous work. Effective interatomic force constants fitted to phonon spectra derived from neutron scattering data were used as input in calculating S( q), while Ashcroft's pseudopotential was used in evaluating the resistivity. Additional approximations were made in the case of Al, but the important effect of plane wave mixing near zone boundaries was included in the matrix elements for Umklapp scattering. The change in potential due to strain lowers the resistivity by about 30 per cent in all three cases. Our calculated value is in fair agreement with the most reliable experimental estimate for Al. The method illustrated here should be especially useful for realistic calculations of the resistivity of isoelectronic impurities in simple metals.
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