Deviations from Matthiessen’s Rule and the Electronic Thermal Conductivity of Alloys

1978 ◽  
pp. 203-207 ◽  
Author(s):  
P. G. Klemens
1959 ◽  
Vol 12 (2) ◽  
pp. 199 ◽  
Author(s):  
PG Klemens

The purpose of this note is to point out that the difference in the ideal -electronic thermal conductivity between an alloy and a pure metal can be estimated from the corresponding difference in the ideal electrical resistivity, using the Wiedemann-Franz law. This allows the separation of the thermal conductivity into an electronic and a lattice component to be made with greater confidence, particularly at liquid oxygen temperatures.


2019 ◽  
Vol 5 (1) ◽  
Author(s):  
Yandong Sun ◽  
Yanguang Zhou ◽  
Jian Han ◽  
Wei Liu ◽  
Cewen Nan ◽  
...  

Abstract Dislocations can greatly enhance the figure of merit of thermoelectric materials by prominently reducing thermal conductivity. However, the evolution of phonon modes with different energies when they propagate through a single dislocation is unknown. Here we perform non-equilibrium molecular dynamics simulation to study phonon transport in PbTe crystal with dislocations by excluding boundary scattering and strain coupling effect. The frequency-dependent heat flux, phonon mode analysis, and frequency-dependent phonon mean free paths (MFPs) are presented. The thermal conductivity of PbTe with dislocation density on the order of 1015 m−2 is decreased by 62%. We provide solid evidence of strong localization of phonon modes in dislocation sample. Moreover, by comparing the frequency-dependent phonon MFPs between atomistic modeling and traditional theory, it is found that the conventional theories are inadequate to describe the phonon behavior throughout the full phonon spectrum, and large deviation to the well-known semi-classical Matthiessen’s rule is observed. These results provide insightful guidance for the development of PbTe based thermoelectrics and shed light on new routes for enhancing the performance of existing thermoelectrics by incorporating dislocations.


1972 ◽  
Vol 6 (10) ◽  
pp. 3624-3633 ◽  
Author(s):  
M. C. Karamargin ◽  
C. A. Reynolds ◽  
F. P. Lipschultz ◽  
P. G. Klemens

1953 ◽  
Vol 6 (1) ◽  
pp. 116 ◽  
Author(s):  
W Boas ◽  
JF Nicholas

Matthiessen's rule has been tested by, determining the slopes of the electrical resistivity-temperature curves for wires of eight common metals and alloys in various states of deformation by wire-drawing. The results show that the slope is independent of deformation, i.e. the rule is true, to within 0�5 per cent. for nickel, copper (two purities), iron, and 80/20 brass, and to within 1 per cent. for aluminium. However, for 75/25 brass and an aluminium bronze, deformations corresponding to logarithmic strains of 2�3 decrease the slopes by 1 and 3 per cent. respectively. As an explanation of this behaviour, it is suggested that deformation causes an increase in the characteristic temperature.


1979 ◽  
Vol 95 (1) ◽  
pp. 203-214 ◽  
Author(s):  
A. Möbius ◽  
F. Goedsche ◽  
D. Elefant ◽  
K.-H. Berthel ◽  
G. Vojta

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