A calculation of the electron–electron scattering contribution to the electrical resistivity of copper

1978 ◽  
Vol 56 (6) ◽  
pp. 708-714 ◽  
Author(s):  
J. E. Black
Keyword(s):  
Experimental Data ◽  
Electrical Resistivity ◽  
Plane Wave ◽  
Fermi Surface ◽  
Electron Scattering ◽  
Noble Metals ◽  
Electronic States ◽  
Cone Model ◽  
Wave States ◽  
Scattering Contribution

The contribution of electron–electron scattering to the electrical resistivity of copper has been calculated. Parts of the Fermi surface on which the initial and final electronic states contribute most heavily to the resistivity have also been determined. The calculations are based on two plane-wave states for the electrons and a Thomas–Fermi screened Coulomb interaction between electrons. The Fermi surface is approximated with the eight-cone model used in noble metals. The results of the calculations are presented here and compared with calculations and experimental data of other authors.

TEMPERATURE DEPENDENCE BEHAVIOR OF ELECTRICAL RESISTIVITY IN NOBLE METALS AT LOW TEMPERATURES

2014 ◽  
Vol 5 (3) ◽  
pp. 982-992 ◽  
Author(s):  
M AL-Jalali
Keyword(s):  
Experimental Data ◽  
Electrical Resistivity ◽  
Temperature Dependence ◽  
Concentration Dependence ◽  
Low Temperatures ◽  
Noble Metals ◽  
Phonon Scattering ◽  
Theoretical Models ◽  
Residual Resistivity ◽  
Electron Phonon Scattering

Resistivity temperature – dependence and residual resistivity concentration-dependence in pure noble metals(Cu, Ag, Au) have been studied at low temperatures. Dominations of electron – dislocation and impurity, electron-electron, and electron-phonon scattering were analyzed, contribution of these mechanisms to resistivity were discussed, taking into consideration existing theoretical models and available experimental data, where some new results and ideas were investigated.

Two OPW calculations of electronic transport properties of copper below 20 K

1977 ◽  
Vol 55 (6) ◽  
pp. 521-527 ◽  
Author(s):  
M. E. Brett ◽  
J. E. Black
Keyword(s):  
Fermi Surface ◽  
Electronic Transport ◽  
Phonon Scattering ◽  
Electronic States ◽  
Preliminary Calculation ◽  
First Case ◽  
Cone Model ◽  
The Matrix ◽  
Total Resistivity ◽  
Electron Phonon Scattering

The results of numerical calculations of the electrical and thermal lattice resistivity of copper at temperatures (T) below 20 K are presented. We have calculated the matrix element for electron–phonon scattering using two OPW electronic states and the Born – von Karman method of determining the phonon frequencies and eigenvectors. We have used the eight-cone model of the Fermi surface in which necks intersecting the Brillouin zone and the spherical belly regions are both present.The lattice electrical resistivity is calculated for two limiting cases. In the first case the resistivity is that expected when no impurities are present in the metal. In the second case the impurity resistivity is taken to dominate the lattice resistivity. We show that the T3 behaviour of lattice resistivity recently observed experimentally below 10 K can be understood as occurring when the temperature is lowered and the total resistivity moves from the lattice dominated to impurity dominated case.The results of a preliminary calculation, in which a more exact Fermi surface and 27 APW electronic states were used, are also described.

scholarly journals Lattice Vibrations and Ideal Electrical Resistivity of Noble Metals

1979 ◽  
Vol 34 (3) ◽  
pp. 310-314
Author(s):  
B. P. Singh ◽  
M. P. Hemkar
Keyword(s):  
Experimental Data ◽  
Electrical Resistivity ◽  
Temperature Variation ◽  
Satisfactory Agreement ◽  
Noble Metals ◽  
Phonon Dispersion ◽  
Dynamical Model ◽  
Lattice Vibrations

Abstract The phonon dispersion in the three principal symmetry directions [ζ00], [ζζ0] and [ζζζ] and the temperature variation of the electrical resistivity of Cu, Ag and Au have been studied by using a lattice dynamical model which takes into account d shell-d shell central interactions up to second neighbours. The calculated results have been compared with the available experimental data and have been found to be in a satisfactory agreement.

scholarly journals Electronic excitation of atoms by positron impact using the scaling Born approach

2018 ◽  
Vol 64 (6) ◽  
pp. 598
Author(s):  
AOE Lino
Keyword(s):  
Experimental Data ◽  
Electron Scattering ◽  
Cross Sections ◽  
Electronic Excitation ◽  
Simple Procedure ◽  
Electronic States ◽  
Impact Excitation ◽  
Positron Impact

We consider the efficacy of the scaling Born positron (SBP) approach, in calculating reliable integral cross sections (ICS) for positron impact excitation of electronic states in atoms. We will demonstrate, using specific examples as H, He, Hg, and Mg, that this relatively simple procedure can generate quite accurate ICS when compared with more sophisticated methods. In the absence of the experimental data, comparisons are made with analogous electron scattering.

Anomalous electron-electron scattering contribution to the electrical resistivity of lithium

1981 ◽  
Vol 11 (4) ◽  
pp. L73-L78 ◽  
Author(s):  
M Sinvani ◽  
A J Greenfield ◽  
M Danino ◽  
M Kaveh ◽  
N Wiser
Keyword(s):  
Electrical Resistivity ◽  
Electron Scattering ◽  
Scattering Contribution

Electrical Resistivity of Noble Metals

1973 ◽  
Vol 51 (21) ◽  
pp. 2225-2232 ◽  
Author(s):  
Satya Pal
Keyword(s):  
Experimental Data ◽  
Electrical Resistivity ◽  
Noble Metals ◽  
Secular Equation ◽  
Transport Coefficients ◽  
Boltzmann Transport ◽  
Dynamical Models ◽  
First Order ◽  
Experimental Values ◽  
Theoretical Results

The temperature variation of the electrical resistivity of copper, silver, and gold has been studied within the free electron approximation on the basis of the lattice dynamical models of Chéveau, and Bhatia and Horton. The first-order variational solution of the Boltzmann transport equation as developed by Ziman has been incorporated in the study for the calculation of the transport coefficients of noble metals. The force constants appearing in the secular equation for the lattice vibrations have been estimated with the help of the experimental values of the elastic constants of the noble metals. The phonon spectrum has been calculated by the modified Houston spherical six-term procedure as elaborated by Betts et al. The Normal and the Umklapp contributions to the electrical resistivity have been considered separately in the present study. A comparison of the theoretical results with the experimental data shows that the calculations are able to explain satisfactorily the temperature dependence of the electrical resistivity of the noble metals. However, as compared to the Bhatia–Horton model, the theoretical resistivity values of the noble metals as furnished by the Chéveau model give a better overall fit with the experimental data.

Fermi surface of noble metals using the eight-cone model

1983 ◽  
Vol 115 (1) ◽  
pp. 127-130
Author(s):  
T. Nautiyal ◽  
S. Auluck
Keyword(s):  
Fermi Surface ◽  
Noble Metals ◽  
Cone Model

Electron–electron scattering in potassium

1979 ◽  
Vol 57 (8) ◽  
pp. 1216-1223 ◽  
Author(s):  
J. G. Cook
Keyword(s):  
Thermal Conductivity ◽  
Electrical Resistivity ◽  
Temperature Dependence ◽  
Thermoelectric Power ◽  
Electron Scattering ◽  
Noble Metals ◽  
Thermal Resistivity ◽  
Consistent Picture ◽  
Preliminary Study ◽  
Increasing Temperature

The electrical resistivity ρ, thermal conductivity κ, and thermoelectric power S have been measured for two bare K specimens between 80 and 330 K. The data fully support the main conclusions of an earlier, preliminary study by Cook and Laubitz. The Lorenz function L = κρ/T does not approach the Sommerfeld value L0 with increasing temperature. Both the magnitude and temperature dependence of L–L0 indicate the presence of an added term Wee in the thermal resistivity, due to electron–electron scattering. Such scattering also affects S. It is shown that the data for K, together with published values of B = Wee/T for Na, Rb, and the noble metals, form a consistent picture of electron–electron scattering in the monovalent metals above the Debye temperature.

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