Applicability of Meyer–Neldel rule for isothermal
crystallization in glassy Se
70
Te
30-x
Sb
x
alloys
N. Mehta, A. Kumar
⁎
Department of Physics, Harcourt Butler Technological Institute, Kanpur-208 002, India
Received 19 September 2005; accepted 1 October 2005
Available online 25 October 2005
Abstract
Many activated phenomena, including solid state diffusion in crystals and polymers, dielectric relaxation, conduction and thermally stimulated
processes in polymers, and electronic conduction in amorphous semiconductors obey the compensation law or Meyer–Neldel rule.
In the present paper, we report the compensation effect in the isothermal crystallization in glassy Se
70
Te
30-x
Sb
x
alloys. We have observed
Meyer–Neldel rule between pre-exponential factor K
o
and activation energy of crystallization E
c
in the present case.
© 2005 Elsevier B.V. All rights reserved.
Keywords: Chalcogenide glasses; Meyer–Neldel rule; Pre-exponential factor; Isothermal crystallization; Rate constant
1. Introduction
The Meyer–Neldel rule or MN rule (also known as
compensation effect) is an empirical law known since 1937 [1].
This rule is observed in wide range of phenomena in physics,
chemistry, biology and electronics [2–8]. It appears to be a
fundamental property of many families of activated processes
following an Arrhenius dependence on temperature:
X ¼ X
0
expð-DE=kT Þ: ð1Þ
Here X is the absolute rate of a thermally activated process,
X
0
the pre-exponential factor, ΔE the activation enthalpy and k
the Boltzmann constant. Commonly, by the evaluation of
experimental data, the activation enthalpy is determined from
the slope of (ΔE/k) of an Arrhenius plot of ln X vs. 1/T . It is
frequently found that, when ΔE is varied with a family of
processes (for example, related chemical reaction), then pre-
exponential factor X
0
obeys the following empirical relation:
X
0
¼ X
00
expðDE=E
MN
Þ; ð2Þ
where X
00
and E
MN
are positive constants. E
MN
is known as
Meyer–Neldel energy for the process in question. This
empirical relation is known as MN rule or compensation
effect.
The hallmarks of the MN rule, linear behavior of the
Arrhenius plot and a characteristic temperature where the
compensation is exact, are often recognized. This rule is
generally observed in disordered materials. In the class of
amorphous semiconductors, the MN rule has been reported in a-
Si:H films in which ΔE is varied by doping, by surface
absorption, light soaking or by preparing films under different
conditions [9–11].
In case of chalcogenide glasses also, MN rule is observed by
the variation of activation energy ΔE of d.c. conduction on
changing the composition of the glassy alloys [12–16] in a
specific glassy system or by the variation of intensity of light
[17,18]. It has also been reported in literature [19] that, we could
change ΔE by varying electric field across a particular sample
and verify MN rule.
Though evidence of MN rule has been reported for a
number of activated phenomena such as solid state diffusion
in crystals and polymers, dielectric relaxation and conduction
in polymers, thermally stimulated processes in polymers and
electronic conduction in amorphous semiconductors [2–8],a
less effort has been done to observe MN rule in kinetic
phenomena such as crystallization phenomenon. In this paper,
we have reported the observation of MN rule for the
isothermal crystallization in glassy Se
70
Te
30-x
Sb
x
(0 ≤ x ≤ 10)
Materials Letters 60 (2006) 725 – 729
www.elsevier.com/locate/matlet
⁎
Corresponding author.
E-mail address: dr_ashok_kumar@yahoo.com (A. Kumar).
0167-577X/$ - see front matter © 2005 Elsevier B.V. All rights reserved.
doi:10.1016/j.matlet.2005.10.018