DOE OSTI2017
The structural inheritance and difference between Ti 2 AlC, Ti 3 AlC 2 and Ti 5 Al 2 C 3 under pressure from first principles are studied. The results indicate that the lattice parameter a are almost the same within Ti 2 AlC, Ti 3 AlC 2 and Ti 5 Al 2 C 3 , and the value of c in Ti 5 Al 2 C 3 is the sum of Ti 2 AlC and Ti 3 AlC 2 which is revealed by the covalently bonded chain in the electron density difference: Al–Ti–C–Ti–Al for Ti 2 AlC, Al–Ti 2 –C–Ti 1 –C–Ti 2 –Al for Ti 3 AlC 2 and Al–Ti 3 –C 2 –Ti 3 –Al–Ti 2 –C 1 –Ti 1 –C 1 –Ti 2 –Al for Ti 5 Al 2 C 3 . The calculated axial compressibilities, volumetric shrinkage, elastic constant c 11 , c 33 /c 11 ratio, bulk modulus, shear modulus, and Young’s modulus of Ti 5 Al 2 C 3 are within the range of the end members (Ti 2 AlC and Ti 3 AlC 2 ) in a wide pressure range of 0–100 GPa. Only Ti 2 AlC is isotropic crystal at about 50 GPa within the Ti–Al–C compounds. All of the Ti 3 d density of states curves of the three compounds move from lower energy to higher energy level with pressure increasing. The similarities of respective bond length, bond overlap population (Ti–C, Ti–Al and Ti–Ti), atom Mulliken charges under pressure as well as the electron density difference for the three compounds are discovered. Among the Ti–Al–C ternary compounds, Ti–Ti bond behaves least compressibility, whereas the Ti–Al bond is softer than that of Ti–C bonds, which can also been confirmed by the density of states and electron density difference. Bond overlap populations of Ti–Ti, Ti–C and Ti–Al indicate that the ionicity interaction becomes more and more stronger in the three structures as the pressure increasing. Lastly, Mulliken charges of Ti 1 , Ti 2 , Ti 3 , C and Al are 0.65, 0.42, 0.39, –0.73, –0.04 at 0 GPa, respectively, which are consistent with the Pauling scale.
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND↗