Hall Coefficient of Dilute Aluminum Alloys. I. Calculation by Four‐OPW Approximation

Abstract

BYThe Hall coefficients of dilute aluminum alloys are computed by 4-OPW approximation. The Hall coefficient is found to be very sensitive to the scattering potential. By slight modification of the potential, the calculated results are fitted to the experimental values. Formulae to calculate the mean relaxation time for various parts of the Fermi surface from the measured values of the Hall coefficient and electrical resistivity are deduced.Die Hallkonstante von Aluminiumlegierungen wird mit Hilfe der 4-OPW-Niiherung berechnet. Es zeigt sich, daB die Hallkonstante sehr empfindlich gegen das Streupotential ist. Mit geringer Anderung des Ionenkernpotentials kann die Berechnung in Ubereinstimmung mit gemessenen Werten gebracht werden. Formeln werden abgeleitet, mit denen die Relaxationszeit der verschiedenen Teile der Fermioberfliche aus gemessenen Werten der Hallkonstante und des elektrischen Widerstandes berechnet werden kann.

Low-field galvanomagnetic properties of aluminium-based dilute alloys

“…where ρ (2) α , ρ (2) β , and ρ (2) γ are defined through (16), (17) and (18). Using the calculated values of the matrix elements of the magnetoconductivity tensor for the two different directions of the magnetic field that we considered, we can deduce the constant parameters entering in (16) and, consequently, calculate P T and P L from (21).…”

“…An attempt to calculate low-field galvanomagnetic properties of aluminium-based dilute alloys starting from the self-consistent solution of the linearized Boltzmann equation for an anisotropic transport relaxation time was made by Böning et al [13,14,16,17] and by Yonemitsu et al [18]. In this approach, the four-orthogonal-plane-wave (4OPW) model was used for the Al host [19], whereas the effective potential of the point defect was described by pseudopotential form factors to first-order Born approximation.…”

Phonon-limited mean free path in the Sondheimer oscillation of aluminum

“…The approximation is apt to overestimate the anisotropy of the transport scattering time. 13,14 It was shown in Ref. 15 that the type C orbit contributes predominantly to the longitudinal magnetoconductivity when H 11 [111].…”