In this paper we report on a systematic investigation, in the 5 to 300 K temperature regime, of the electronic, magnetotransport, thermoelectric, thermal, and elastic properties of four M 2 AlC phases: Ti 2 AlC, V 2 AlC, Cr 2 AlC, and Nb 2 AlC. The electrical conductivity, Hall coefficient, and magnetoresistances are analyzed within a two-band framework assuming a temperature-independent charge carrier concentration. As with other MAX-phase materials, these ternaries are nearly compensated, viz. the densities and mobilities of electrons and holes are almost equal. There is little correlation between the Seebeck and Hall coefficients. With Young's and shear moduli in the 270 GPa and 120 GPa range, respectively, the phases studied herein are reasonably stiff. With room temperature thermal conductivities in the 25 W / m K range ͑45 W / m K for V 2 AlC͒ they are also good thermal conductors.
We report on the Raman spectra of Ti 3 SiC 2 ͑312͒, M 2 AlC ͑211͒ ͑M = Ti, V, Cr, and Nb͒ and Ti 4 AlN 3 ͑413͒, as representative compounds from the family of M n+1 AX n phases. Intense and narrow first-order Raman peaks are observed, and we present an analysis of the spectra based on symmetry considerations and from results of first-principles calculations of phonon frequencies. The agreement between experimental and calculated mode energies is excellent. The identification of the modes enables application of Raman scattering as a diagnostic tool for the detailed study of the structural and physical properties of this family of compounds and their engineered solid solutions.
Herein we report on a systematic investigation of the thermal expansion of select M n+1 AX n phases. The bulk dilatometric thermal expansion coefficient ␣ dil was measured in the 25-1200°C temperature range and the thermal expansion of more than 15 of these phases was studied by x-ray diffraction in the 25-800°C temperature range. The coefficient of thermal expansion for the a axis ␣ a ranged between ͑2.9Ϯ 0.1͒ ϫ 10 −6°C−1 ͑Nb 2 AsC͒ and ͑12.9Ϯ 0.1͒ ϫ 10 −6°C−1 ͑Cr 2 GeC͒ while the coefficient for the c axis ͑␣ c ͒ ranged between ͑6.4Ϯ 0.2͒ ϫ 10 −6°C−1 ͑Ta 2 AlC͒ and ͑17.6Ϯ 0.2͒ ϫ 10 −6°C−1 ͑Cr 2 GeC͒. Weak anisotropy in the thermal expansion was seen in most phases, with the largest value of ␣ c / ␣ a belonging to Nb 2 AsC. The Grüneisen parameters along the a and c directions were calculated from ab initio values for the elastic compliances and were relatively isotropic. A good correlation was found between the thermal expansion anisotropy and the elastic constant c 13 and we conclude that the anisotropy in thermal expansion is related to the bonding between the M − A elements.
In this letter we report on the low-temperature specific heat of several M2AX phases: Ti2AlC, V2AlC, V2AsC, Nb2SnC, Ti2AlN, Hf2InC, Nb2AlC, and Cr2AlC. The Debye temperatures are quite high. The density of states at the Fermi level, N(EF) varies from ≈1.4 (eV formula unit)−1 to 6 (eV formula unit)−1. Ab initio calculations show that N(EF) is dictated by the transition metal d–d bands; the A-group element has little effect. We also measured the velocity of sound in V2AlC, V2AsC, Ti2AlC, and Ti2AlN. The average bulk modulus of these materials is over 100 GPa, with a high of ≈140 GPa for Ti2AlN. Our theoretical calculations correctly predict the trend in both the density of states and the bulk modulus, although there is some disagreement in the actual values.
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