Theory and experiment on deviations of Matthiessen's rule in dislocated crystals: a constructive reply

In a recent comment, Kaveh and Wiser (1986) defend their theory on deviations of Matthiessen's rule (DMRs) by questioning related experiments of the author's on aluminium, because of inconsistencies in experimental data as well as fatal influences of an extended size effect. The present reply points out essential errors with both criticisms and thus strongly insists on the validity of the experiments originally reported. The DMRS are far smaller than predicted by Kaveh and Wiser. Nevertheless, owing to some correlation of data in literature with deformation mode and annealing treatment, the DMRs appear to arise from long-range strain fields close to the dislocations. This suggests that the Kaveh-Wiser theory could apply for particularly strain-intensive dislocation arrays and help to quantify the dilatation-specific part of dislocation resistivity.

[1]  B. R. Watts.  The structure factor of a dislocated metal and why its electrical resistivity may be approximately isotropic , 1987 .

[2]  J. Kos.  Strain-induced changes in the temperature-dependent component of the electrical resistivity of Cu , 1987 .

[3]  M. Kaveh,et al.  Deviations from Matthiessen's rule for the electrical resistivity of dislocations , 1986 .

[4]  K. Sasaki,et al.  Electrical resistivity minimum associated with dislocations in aluminium and the dilute alloys , 1985 .

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

[6]  J. Sambles,et al.  Thickness effects and the T2 dependence of the resistivity of aluminium , 1985 .

[7]  M. Kaveh,et al.  Electrical resistivity of dislocations in metals , 1983 .

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

[9]  A. Bergmann,et al.  Relaxation time for electron-dislocation scattering for noble and polyvalent metals , 1981 .

[10]  M. Dalimin,et al.  The effect of cold work on the low-temperature electrical resistivity of silver , 1981 .

[11]  S. Barnes.  Spin waves in a spin glass , 1981 .

[12]  M. Yamaguchi,et al.  The effect of compositional deviations from stoichiometry on the transition in slip directions from (111) to (001) in FeA1 at high temperatures , 1981 .

[13]  M. Kaveh,et al.  Correlation between electron-dislocation scattering and electron-impurity scattering in metals , 1981 .

[14]  T. Kino,et al.  Deviations from Matthiessen's Rule on the Surface Scattering in Aluminum , 1980 .

[15]  M. Zehetbauer,et al.  Effect of high deformatio of electrical resistivity in pure aluminium , 1980 .

[16]  H. Rauh.  Untersuchungen zum elektrischen Widerstand von Versetzungen in Metallen II. Anwendung auf Stufenversetzungen in Kupfer , 1980 .

[17]  M. Kaveh,et al.  Impurity and temperature dependence of the electrical resistivity of dilute alloys of aluminum , 1980 .

[18]  H. Rauh.  Untersuchungen zum elektrischen widerstand von versetzungen in metallen I. Allgemeine theorie , 1979 .

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

[20]  J. Rowlands,et al.  Anisotropic electron scattering in the resistivity of strained aluminium, palladium and silver , 1978 .

[21]  R. Brown.  A dislocation model of grain boundary electrical resistivity , 1977 .

[22]  Z. S. Basinski,et al.  Resistivity change with deformation of high purity Cu crystals and its subsequent recovery , 1977 .

[23]  R. Higgins,et al.  de Haas-van Alphen effect study of dislocations in copper , 1975 .

[24]  T. Endo,et al.  Deviations from Matthiessen's Rule of the Electrical Resistivity of Dislocations in Aluminum , 1974 .

[25]  B. Lengeler,et al.  Deviations from Matthiessen's rule and longitudinal magnetoresistance in cold-worked and neutron-irradiated copper , 1970 .

[26]  C. T. Foxon,et al.  An experimental determination of the electrical resistivity of dislocations in copper , 1967 .

[27]  J. Dugdale,et al.  Mathiessen's Rule and Anisotropic Relaxation Times , 1967 .

[28]  H. Yoshinaga.  Measurements of the Anisotropy of the Dislocation Resistivity in Au, Ag, and Cu , 1966, December 1.

[29]  C. T. Foxon,et al.  An experimental determination of electrical resistivity of dislocations in aluminium , 1966 .

[30]  M. Kiritani,et al.  Electrical Resistivity of Secondary Defects in Quenched Aluminum , 1965 .

[31]  R. Cotterill.  An experimental determination of the electrical resistivity of dislocations in aluminium , 1963 .

[32]  S. Amelinckx,et al.  The Structure and Properties of Grain Boundaries , 1959 .

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

[34]  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.

[35]  J. Mackenzie,et al.  The Theory of the Change in the Conductivity of Metals Produced by Cold Work , 1950 .