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Table B.1

Properties of TixCy clusters.

σ(a) G(b) m(c) ΔatH(d) ΔatHo (298.15 K)(e) ΔfHo (298.15 K)(f)

kJ mol−1
TiC 1 Cv 1 366 372 (g) 363 826.67
TiC2 2 C2v 3 1146 1157 (h) 1143 763.35
TiC3 2 C2v 1 1740 1738 885.03
TiC4 2 C2v 3 2405 2398 (h) 2403 936.70
Ti2C 2 C2v 3 726 722 940.67
Ti2C2 4 D2h 1 1379 11 376 1003.35
Ti2C3 1 C2v 1 2024 2022 1074.02
Ti2C4 1 Cs 1 2708 2704 1108.70
Ti3C 1 Cs 1 909 902 1233.67
Ti3C2 2 C2v 1 1714 1708 1144.34
Ti3C3 1 Cs 1 2403 2399 1170.02
Ti3C4 2 C2v 1 3070 3068 1217.70
Ti4C 1 Cs 1 1185 1178 1430.67
Ti4C2 2 C2v 1 1990 1985 1340.34
Ti4C3 1 Cs 1 2741 2737 1305.02
Ti4C4 12 Td 1 3589 3587 1171.69

Ti3C8 1 Cs 1 6348 6436(i) 6345 807.40
Ti4C8 2 C2v 1 7077 7063 (i) 7075 550.40
Ti6C13 1 C1 1 11 682 11 694(i) 11 682 472.77
Ti7C13 1 C1 1 11 975 12 533(i) 11 973 654.77
Ti8C12 1 C1 1 12 723 12 698(i) 12 727 −342.91
Ti9C15 1 C1 1 14 961 14 958 49.11
Ti13C22 1 C1 1 22 513 22 520 −604.17

Notes. (a) Order of the rotational subgroup. (b)Symmetry group. (c)Spin multiplicity. (d)Enthalpy of atomization (at 0 K and 0 bar). Ground state reference energies for the atoms are −37.8585747 Ha for C and −849.3765897 Ha for Ti using gaussians (upper block) and −5.6859 Ha for C and −59.65385 Ha for Ti using plane-waves (lower block). (e)Standard enthalpy of atomization (at 298.15 K and 1 bar). (f)Standard enthalpy of formation (at 298.15 K and 1 bar). Calculated from Δat Ho (298.15 K) adopting standard enthalpies of formation of Ti and C atoms of 472.9973 kJ mol−1 and 716.6759 kJ mol−1, respectively (Goos et al. 2018). (g)Experimental value from Sevy et al. (2018). (h)Experimental value from Stearns & Kohl (1974). (i)DFT calculation by Muñoz et al. (1999).

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