Heena Dhurandhar,
1
Ashmi T. Patel,
2
T. Lilly Shanker Rao,
3
Kirit N. Lad,
2
and Arun Pratap
4
Kinetics of Crystallization of Co-Based Multi-Component
Amorphous Alloy
ABSTRACT: Crystallization is a thermally activated process in non-crystalline and amorphous solids. The
kinetics of the solid state phase transformations can be studied using thermal analysis techniques such as
differential scanning calorimetry DSC. For the kinetic analysis of the crystallization process under non-
isothermal conditions, the choice of a reliable method is very important. The methods for the analysis of
non-isothermal data are, in general, derived by extending the formalism developed for isothermal condi-
tions. Most methods for the kinetic analysis of crystallization processes rely on the isokinetic hypothesis to
separate the kinetics of the transformation from its dependence on temperature. It is assumed that the
transformation rate can be described by a differential equation separable in transformed fraction and T
temperature, i.e., for continuous heating regime, d/dT=1/kTf, where is the heating rate, kT
is the rate constant, and f is the kinetic function reaction model. The crystallization kinetics of glassy
Co
66
Si
16
B
12
Fe
4
Mo
2
have been studied with DSC and analyzed using non-isothermal theoretical expres-
sions. The Avrami exponent, n, frequency factor, A, and activation energy, E, of crystallization are
evaluated using Matusita and Sakka MS and modified Kissinger equations. Besides, isoconversional
kinetic analysis has been applied to DSC data for the determination of these different kinetic parameters.
The isoconversional methods calculate E
values at progressive degrees of conversion, , without mod-
elistic assumptions, and hence, this approach takes care of the variation of kinetic parameters with the
fraction crystallized. The activation energy has been determined using both linear integral and differential
isoconversional methods and also by the non-linear isoconversional method suggested by Vyazovkin and
Wight. These methods are found to give consistent results for E. Furthermore, a comparison has been
made among various kinetic parameters obtained using different approaches to investigate the relative
applicability and usefulness of the proposed methods.
KEYWORDS: crystallization, isoconversional, kinetic parameters, IKP method
Introduction
Magnetic amorphous alloys have excellent soft magnetic properties such as low coercivity, low hysteresis
loss, high permeability, and high saturation magnetization. Hence, they are widely used in antitheft secu-
rity systems, magnetic recording heads, magnetic sensors, large transformers, and electronic devices 1–4.
It is generally believed that the good soft magnetic properties of melt-spun amorphous alloys are lost by
annealing-induced crystallization 4. However, in the last decade, an improvement in soft magnetic
properties has been reported in a number of multi-phase nanocrystalline Fe-based amorphous alloys
5–10. This clearly indicates that the study of the kinetics of crystallization of an amorphous system is a
key subject of investigation providing new opportunities of designing and processing innovative alloys.
While a substantial amount of work exists on the crystallization kinetics of Fe-based amorphous alloys
11–14, the same study on Co-based amorphous alloys is scarce 3,4,15–17. Furthermore, most of the
investigations on these magnetic amorphous alloys are devoted to studying the effect of crystallization on
magnetic properties 18 and have also used Mössbauer spectroscopy 4,19, while others have simply
used the peak-shift method of Kissinger 16,19 to obtain the activation energy of the crystallization
Manuscript received May 28, 2009; accepted for publication September 9, 2010; published online October 2010.
1
Condensed Matter Physics Laboratory, Applied Physics Dept., Faculty of Technology and Engineering, The Maharaja Sayajirao
Univ. of Baroda, Vadodara 390 001, India, e-mail: heena0609@yahoo.co.in; Present address: Dept. of Electronics, Mukesh Patel
School of Technology Management and Engineering, SVKM’s NMIMS deemed University, Vile Parle West, Mumbai—400 056
2
Condensed Matter Physics Laboratory, Applied Physics Dept., Faculty of Technology and Engineering, The Maharaja Sayajirao
Univ. of Baroda, Vadodara 390 001, India.
3
Electronics Dept., Narmada College of Science and Commerce, Bharuch 392 011, India.
4
Condensed Matter Physics Laboratory, Applied Physics Dept., Faculty of Technology and Engineering, The Maharaja Sayajirao
Univ. of Baroda, Vadodara 390 001, India, e-mail: apratapmsu@yahoo.com
Journal of ASTM International, Vol. 7, No. 10
Paper ID JAI102577
Available online at www.astm.org
Copyright © 2010 by ASTM International, 100 Barr Harbor Drive, PO Box C700, West Conshohocken, PA 19428-2959.