TABLE II: Calculated elastic constants ( c$_{11}$ , c$_{12}$ , and c$_{44}$ , in GPa), shear modulus ( G , in GPa), Young’s modulus ( E , in GPa), and Poisson’s ratio ( ν ) of InNCo$_{3}$ and InNNi$_{3}$. The Voigt shear modulus ( G$_{V}$ , in GPa) and the Reuss shear modulus ( G$_{R}$ , in GPa) are also presented. For compar- ison, the elastic properties of InNSc$_{3}$, ZnNNi$_{3}$, and InCNi$_{3}$ compounds with a cubic anti-perovskite structure are listed. Compound Method c$_{11}$ c$_{12}$ c$_{44}$ G$_{V}$ G$_{R}$ B G E ν B/G InNCo$_{3}$ LDA 389.11 171.12 102.55 105.13 105.03 243.78 105.08 275.63 0.311 2.320 GGA 317.54 126.76 94.98 95.14 95.14 190.35 95.14 224.67 0.286 2.001 InNNi$_{3}$ LDA 356.77 164.23 69.06 80.35 78.12 228.41 79.24 212.94 0.344 2.895 GGA 274.08 131.20 60.01 64.58 64.11 178.83 64.35 172.37 0.339 2.779 InNSc$_{3}$ GGA 36 238.57 54.28 90.76 91.31 91.31 115.71 91.31 216.88 0.188 1.267 ZnNNi$_{3}$ GGA 37 354.28 134.01 48.06 72.89 62.05 207.43 67.47 182.61 0.353 3.074 GGA 38 364.20 124.90 32.69 67.47 46.09 204.67 56.78 155.92 0.373 3.604 InCNi$_{3}$ LDA 14 414.67 135.72 68.02 96.60 85.56 228.71 91.08 241.22 0.324 2.511 GGA 14 344.20 106.30 62.68 85.19 77.31 185.60 81.25 212.70 0.309 2.284 12