Table S.1. The higher-energy structures of Aln clusters along with the corresponding spin multiplicities as well as relative energies computed at B3LYP/6-31+G* level of theory. Cluster Er (eV) Ms Al3 0.45 4 Al4 0.23 3 Al5 0.44 4 Al6 0.01 1 2.01 2 1.47 2 0.89 2 Al7 Structure Table S.2. The calculated vibrational frequencies of Aln clusters computed at B3LYP/631+G* level of theory. Frequency (cm-1) Cluster Al2 322.43 Al3 Al4 Al5 227.07, 227.31, 340.47 58.07, 167.96, 205.65, 281.53, 292.79, 316.40 35.23, 92.81, 98.28, 174.07, 226.01, 239.01, 278.78, 373.92, 374.89 Al6 33.09, 102.52, 103.26, 175.95, 176.23, 191.85, 192.04, 274.17, 248.81, 263.28, 279.37, 301.07 Al7 Al8 Al9 Al10 Al11 Al12 Al13 42.08, 68.43, 125.08, 155.39, 203.47, 215.98, 216.93, 226.78, 227.56, 277.02, 280.35, 288.42, 303.03, 313.86, 341.65 33.55, 76.59, 89.86, 92.49, 97.19, 101.63, 156.01, 166.94, 179.97, 194.23, 216.83, 220.94, 228.26, 235.20, 247.04, 265.29, 278.07, 307.15 47.02, 47.33, 97.43, 101.16, 119.03, 130.50, 157.71, 171.49, 182.52, 189.80, 202.22, 233.66, 241.90, 275.03, 286.14, 300.49, 320.66, 329.58, 356.85 58.09, 67.19, 85.33, 90.91, 103.18, 128.22, 136.31, 161.95, 164.56, 182.53, 186.19, 196.32, 206.16, 211.25, 235.65, 238.76, 276.62, 280.81, 303.84, 315.50, 336.41, 365.50, 372.27, 390.63 19.79, 64.25, 83.52, 98.59, 100.83, 118.44, 120.80, 129.35, 138.42, 148.92, 158.75, 161.30, 183.29, 187.82, 190.08, 218.11, 232.93, 246.81, 250.81, 266.42, 272.55, 289.42, 294.13, 316.36, 318.83, 325.29, 325.65 33.21, 53.60, 62.97, 83.70, 89.48, 121.43, 121.82, 126.75, 146.82, 175.45, 178.69, 182.55, 188.39, 198.49, 219.70, 228.53, 228.64, 237.74, 255.17, 262.51, 265.61, 280.94, 298.60, 301.06, 314.05, 328.05, 336.86, 350.22, 364.19, 371.69 16.50, 38.18, 61.70, 86.31, 102.91, 104.32, 116.10, 132.27, 141.22, 161.33, 162.91, 175.20, 182.01, 189.49, 197.75, 208.07, 211.90, 216.86, 229.68, 231.05, 234.85, 240.48, 247.17, 255.48, 256.37, 269.33, 278.48, 288.34, 295.09, 303.68, 329.13, 343.00, 354.14 Table S.3. The higher-energy structures of AlnSim clusters along with the corresponding spin multiplicities as well as relative energies computed at B3LYP/6-31+G* level of theory. Cluster Structure Er(ev) Ms 0.57 1 0.44 1 0.80 2 0.36 2 0.30 1 1.28 1 0.01 2 Er(ev) Ms Al4Si Al3Si2 Al2Si3 Al5Si Table S.3. Continue. Cluster Structure 0.91 3 0.81 3 0.19 2 0.12 1 0.05 1 0.41 2 Er(ev) Ms Al4Si2 Al3Si3 Al6Si Table S.3. Continue. Cluster Structure 0.27 2 0.41 2 0.04 1 0.09 1 Al5Si2 Al4Si3 Table S.4. The calculated vibrational frequencies of AlnSim clusters computed at B3LYP/631+G* level of theory. Cluster Frequency (cm-1) Al4Si 35.96, 52.64, 106.72, 161.88, 226.22, 284.43, 322.37, 356.77, 427.19 Al3Si2 27.78, 96.08, 98.09, 199.83, 209.33, 283.86, 357.93, 376.33, 444.94 Al2Si3 Al5Si 44.70, 73.50, 97.08, 158.66, 244.36, 250.72, 401.43, 402.37, 513.67 16.25, 108.95, 132.47, 159.38, 180.28, 201.75, 262.77, 265.54, 275.10, 297.34, 339.49, 366.35 Al4Si2 37.95, 52.02, 137.95, 162.88, 206.21, 214.98, 243.59, 266.30, 280.95, 318.76, 333.10, 422.68 Al3Si3 73.55, 90.22, 126.73, 220.05, 257.56, 285.45, 288.60, 316.14, 329.94, 350.92, 368.62, 439.07 Al6Si Al5Si2 Al4Si3 70.18, 78.62, 122.06, 122.33, 171.98, 174.63, 190.49, 209.53, 263.05, 296.61, 299.49, 319.14, 327.43, 330.40, 370.41 53.43, 75.76, 84.74, 121.45, 135.68, 190.51, 219.97, 237.90, 242.42, 273.14, 305.98, 324.42, 332.22, 358.70, 397.48 39.91, 91.92, 106.01, 126.93, 170.67, 191.15, 224.00, 254.32, 283.91, 313.80, 314.58, 322.58, 355.49, 376.62, 423.40