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A quantitative analysis of the volume fraction dependence of the resistivity of cermets using a general effective media equation

 

作者: D. S. McLachlan,  

 

期刊: Journal of Applied Physics  (AIP Available online 1990)
卷期: Volume 68, issue 1  

页码: 195-199

 

ISSN:0021-8979

 

年代: 1990

 

DOI:10.1063/1.347114

 

出版商: AIP

 

数据来源: AIP

 

摘要:

The results analyzed, all from previous work, are for W‐Al2O3(as prepared and annealed; 300 K) and Ni‐SiO2(4.2 and 291 K). These results, in which the resistivity changes from 10−5to 107&OHgr; cm as the metal volume fraction is varied, can all be quantitatively fitted to a general effective media (GEM) equation. The GEM equation was developed as an interpolation between Bruggeman’s symmetric and asymmetric media equations for ellipsoidal grains. It has four parameters. The conductivities of the low [&sgr;(lo)] and high [&sgr;(hi)] conductivity components,fc=(1−&Jgr;c), where &Jgr;cis the critical (percolation) volume fraction of the &sgr;(hi) component andtis an exponent.fis the volume fraction of the dielectric or &sgr;(lo) component. As, when &sgr;(lo)=0 or &sgr;(hi)=∞ the GEM equation reduces to the percolation equations, it can also be regarded an interpolation formula between these equations. The W‐Al2O3(as prepared; 300 K) and Ni‐SiO2(291 K) results need a five‐parameter fit as &rgr;(hi) [1/&sgr;(lo)] is modeled as an intergranular tunneling process with &rgr;(hi)=&rgr;(0)exp{C[(1−fc)/(1−f )]1/3−1}, &rgr;(0) andCbeing variable parameters. The log rms deviations for fits are W‐Al2O3(as prepared) 3.3%, W‐Al2O3(annealed) 0.66%, Ni‐SiO (4.2 K) 2.3%, and Ni‐SiO2(291 K) 1.3%.

 

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