Title of article :
On the heat capacity of Ti3GeC2
Author/Authors :
Drulis، نويسنده , , Monika K and Czopnik، نويسنده , , Andrzej and Drulis، نويسنده , , Henryk and Spanier، نويسنده , , Jonathan E and Ganguly، نويسنده , , Adrish and Barsoum، نويسنده , , Michel W، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 2005
Abstract :
In this paper, we report experimental data of the heat capacities, cp, of bulk polycrystalline samples of Ti3GeC2 in the 3–260 K temperature range. The results obtained are compared with those on Ti3SiC2. The cp results are analyzed using the Debye and Einstein models and are compared to the heat capacities values calculated from first principles. At temperatures up to 10 K the main contributors to cp are electrons with γ = 6.5 (mJ/mol K2) and phonons with a Debye temperature θD of 556 K. In that temperature range only four atoms of the six in a formula unit—most likely one Ge and three Ti atoms—contribute to cp. In the 10–120 K temperature range excellent fits were obtained using a θD of 513 K and an optical mode with an Einstein temperature θE of 139 K. For T > 120 K, five additional optical modes with θE = 870 K are required to properly fit the experimental results. The ab initio calculations throughout the temperature range (4–1500 K) show reasonably good agreement with the experimental data obtained particularly at low temperatures.
Keywords :
Thermal Properties , Titanium , ceramics , Germanium , Carbides
Journal title :
MATERIALS SCIENCE & ENGINEERING: B
Journal title :
MATERIALS SCIENCE & ENGINEERING: B