Indian J. Phys. 84 (6), 675-679 (2010)
© 2010 IACS
Lattice thermal conductivity of skutterudite compounds
Banashree Saikia* and Priyanshu R Borthakur
Department of Science and Technology University, Institute of Chartered Financial Analysts of India,
Tripura-799 210, India
E-mail : banashreemoni@rediffmail
Abstract : A generalized expression is used on the basis of relaxation time approximation to facilitate
calculation of lattice thermal conductivity of dielectric materials as well as skutterudite family consists of compounds
of the form AB
3
. It is assumed that phonon scattering processes are independent and is represented by
frequency dependent relaxation times. The contributions of normal three phonon scattering processes are
included explicitly as redistribution of phonon momentum between two oscillation branches is considered.
Magnitudes of relaxation times are estimated from the experimental data. The result for CoSb
3
is in reasonably
good agreement with the experimental result in the temperature range 1-1000
0
K. It is observed that redistribution
of phonon momentum between two oscillation branches leads to a significant suppression of thermal conductivity
maximum and it is observed that for unfilled skutterudite the main dominant mechanism at the thermal conductivity
maximum is three phonon normal scattering process.
Keywords: Lattice thermal conductivity, normal process, relaxation time, dispersion curve, phonon Boltzmann
equation.
PACS Nos. : 63.20.Dj, 66.70.+f,63.20Kr
1. Introduction
Recently skutterudite compounds are identified as a strong candidate for thermoelectric
materials which is of the form AB
3
, where A is Co, Ir,or Rh and B is As, P or Sb. In the
literature it is reported that the compound CoSb
3
behaves like semiconductor with a band
gap of approximately 0.5eV and having large Seebeck coefficient [1]. For the use in the
construction of efficient thermoelectric devices, a material should have higher electrical
resistivity, low thermal conductivity and high Seebeck coefficient. So it is interested to
study about thermal conductivity of CoSb
3
. Since the electronic contribution of thermal
conductivity is very less (less than 10%), the main contribution of thermal conductivity is
phonon contribution.
*Corresponding Author