Meyer-Neldel rule

Support for the applicability of this model to an explanation of the Meyer-Neldel rule comes from measurements of space-charge limited currents in anthracene where a correlation (see Fig. 20) has been found between the total density of traps H and the distribution parameter Tc (Owen et al, 1974). It has been shown that this effect is not fortuitous as suggested by some workers... 

Many organic materials have been reported to follow the Meyer-Neldel Rule (MNR) which is a phenomenological model to describe the observed temperature dependence of the mobility. 

The phenomenon of compensation is not unique to heterogeneous catalysis it is also seen in homogeneous catalysts, in organic reactions where the solvent is varied and in numerous physical processes such as solid-state diffusion, semiconduction (where it is known as the Meyer-Neldel Rule), and thermionic emission (governed by Richardson s equation ). Indeed it appears that kinetic parameters of any activated process, physical or chemical, are quite liable to exhibit compensation it even applies to the mortality rates of bacteria, as these also obey the Arrhenius equation. It connects with parallel effects in thermodynamics, where entropy and enthalpy terms describing the temperature dependence of equilibrium constants also show compensation. This brings us the area of linear free-energy relationships (LFER), discussion of which is fully covered in the literature, but which need not detain us now. 

There is some correlation between the parameters Dq and Q. The Meyer-Neldel rule says that nDo = abQ, with a and b positive numbers. Dq compensates somewhat for the influence of Q. The higher the activation energy Q, the higher the preexponential factor Dq. 

What is the atomistic reason for the Meyer-Neldel rule Design two ion conductors (for Li" and 0 ) that have a low value for L and simultaneously a high Dq. 

In 2000, Balberg (2000) classified the electrical transport in PS by reanalyzing experimental data collected from various published papers about the temperature dependence of DC dark conductivity, according to Meyer-Neldel rule (MNR)... 

Lubianiker Y, Balberg I (1997) Two Meyer-Neldel rules in porous silicon. Phys Rev Lett 78 2433 Lubianiker Y, Balberg I, Partee J, Shinar J (1996) Porous silicon as a near-ideal disordered semiconductor. J Non-Cryst Solids 198-200 949... 

Effective medium approximation (EMA) 3, 9 Electrical transport properties 1-2, 4, 6, 8-9 anisotrophy 8 contact dependence 2 porosity dependence 9 temperature dependence 2, 6 voltage dependence 2, 4 Fermi level 4-6 Heterojunction 4-5 Hopping 3, 6-7 Ideality factor 6 Macroporous 3 Mesoporous 3, 8 Meyer-Neldel rule (MNR) 6 Nanoporous 3, 7-8, 10 Percolation 8-10... 

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