Journal article
On the heat capacities of M 2 Al C ( M = Ti , V , Cr ) ternary carbides
Journal of applied physics, v 99(9), pp 093502-093502-5
11 May 2006
Abstract
In this paper, we report on the heat capacities
c
p
of bulk polycrystalline samples of
Ti
2
Al
C
,
V
2
Al
C
, and
Cr
2
Al
C
in the
3
-
260
K
temperature range. Given the structural and chemical similarities of these compounds it is not surprising that the
c
p
's and their temperature dependencies were quite similar. Nevertheless, at all temperatures the heat capacity of
Cr
2
Al
C
was higher than the other two. The density of states at the Fermi level were 3.9, 7.5, and
14.6
(
eV
unit
cell
)
−
1
for
Ti
2
Al
C
,
V
2
Al
C
, and
Cr
2
Al
C
, respectively. The results obtained are analyzed using the Debye and Einstein model approximations for
c
p
. Good description of
c
p
is obtained if one assumes that nine phonon modes vibrate according to the Debye model approximation whereas the remaining 3 of 12 modes expected for
M
2
Al
C
formula unit fulfill an Einstein-like phonon vibration pattern. Debye temperatures
θ
D
describing acoustic phonon and Einstein temperature
θ
E
describing optical phonon contributions have been estimated for the studied compounds. The Debye temperatures are reasonably high and fall in the range of
600
-
700
K
. A linear dependence was found between the number of
d
electrons along the row Ti, V, and Cr and the density of states at the Fermi level.
Metrics
Details
- Title
- On the heat capacities of M 2 Al C ( M = Ti , V , Cr ) ternary carbides
- Creators
- Monika Drulis - Polish Academy of Sciences, Trzebiatowski Institute of Low Temperature and Structure Research,P.O. Box 1410, 50-950 Wroclaw 2, PolandH Drulis - Polish Academy of Sciences, Trzebiatowski Institute of Low Temperature and Structure Research,P.O. Box 1410, 50-950 Wroclaw 2, PolandS Gupta - Department of Materials Science and Engineering, Drexel University, Philadelphia, Pennsylvania, 19104M Barsoum - Drexel UniversityT El-Raghy - 3-ONE-2, Voorhees, New Jersey, 08043
- Publication Details
- Journal of applied physics, v 99(9), pp 093502-093502-5
- Publisher
- American Institute of Physics
- Grant note
- DMR 0503711 / NSF 4 TO8A 053 24 / UNSPECIFIED
- Resource Type
- Journal article
- Academic Unit
- Materials Science and Engineering
- Web of Science ID
- WOS:000237682900022
- Scopus ID
- 2-s2.0-33646868634
- Other Identifier
- 991019167974104721
InCites Highlights
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- Collaboration types
- Domestic collaboration
- International collaboration
- Web of Science research areas
- Physics, Applied