Thermopower and resistivity due to dislocations in monovalent metals

Using the partial-wave method, the residual electrical resistivity and the additional and characteristic thermopowers of dislocations for noble and alkaline metals are calculated. Just the scattering of electrons by the dislocation core is considered. The existence of resonance electron states near the Fermi energy within the thermal scatter kBT is supposed. The lattice dilatation ΔV = bB2 (bB is the steady Burgers vector) is taken into account. Various forms of rectangular potential simulating the dislocation core are investigated. It is shown that unlike the dislocation resistivity, the thermoelectric characteristic of dislocations shows high sensitivity to change of the width of the resonance level and its localization relative to the Fermi energy. A model dislocation potential is suggested; with it, a rather good agreement with available experimental data is obtained.

[1]  M. Müller,et al.  Dislocation resistivity in Cu: dependence of the deviations from Matthiessen's rule on temperature, dislocation density and impurity content , 1995 .

[2]  A. S. Karolik,et al.  Calculation of electrical resistivity produced by dislocations and grain boundaries in metals , 1994 .

[3]  M. Zehetbauer.  Theory and experiment on deviations of Matthiessen's rule in dislocated crystals: a constructive reply , 1989 .

[4]  B. R. Watts.  Calculation of electrical resistivity produced by dislocations in various metals , 1988 .

[5]  H.-J. Föckel.  Stationary and Resonance States at the Core of a Screw Dislocation and Their Contributions to Electrical Resistivity , 1987 .

[6]  Gröger,et al.  Electrical resistivity of dislocations in aluminum. , 1985, Physical review. B, Condensed matter.

[7]  R. Brown.  The interaction of conduction electrons with dislocations and grain boundaries in metals , 1982 .

[8]  T. Endo,et al.  Deviations from Matthiessen’s Rule of the Electrical Resistivity Due to Dislocations in Gold , 1979 .

[9]  R. Brown.  Electrical resistivity of dislocations in metals , 1977 .

[10]  D. Greig,et al.  Thermoelectric Power of Metals , 1976 .

[11]  J. E. Robinson,et al.  Electrical resistivity of dislocation arrays , 1976 .

[12]  岩崎 裕,et al.  Landolt-Bornstein New Series Group III, Vol.3, T. Mitsui, et al,: Ferro- and Antiferro-electric Substances, Springer-Verlag, Berlin, 1969, 584ページ, 27.5×19.5cm, 37,000円 , 1973 .

[13]  D. Gugan.  The electrical resistivity of potassium below 4.2 K , 1971, Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences.

[14]  R. Brown.  Resonance Scattering and the Electrical and Thermal Resistivities Associated with Extended Defects in Crystals , 1967 .

[15]  I. Kovács,et al.  Plastic Properties of Polycrystalline f.c.c. Metals , 1965, March 1.

[16]  J. Polák.  Change of absolute thermoelectric power of gold and platinum due to lattice defects , 1964 .

[17]  A. Howie,et al.  THE ELECTRICAL RESISTIVITY OF DISLOCATIONS , 1963 .

[18]  A. Seeger.  On some physical consequences of the non-linear theory of dislocations , 1958 .

[19]  P. Haasen,et al.  Density changes of crystals containing dislocations , 1958 .

[20]  Walter A. Harrison,et al.  Resistivity due to dislocations in copper , 1958 .

[21]  A. Seeger,et al.  Elektronentheoretische Untersuchungen über Fehlstellen in Metallen , 1956 .

[22]  S. C. Hunter,et al.  The propagation of electrons in a strained metallic lattice , 1953, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences.