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. Author manuscript; available in PMC: 2015 Nov 4.
Published in final edited form as: J Chem Theory Comput. 2014 Jan 14;10(1):346–363. doi: 10.1021/ct400932e

Table 1.

Comparison between VPT2 anharmonic frequencies and the ones estimated with the anharmonic scaling scheme based on the Duschinsky transformation. ImH denotes neutral imidazole, ImH+ is the radical cation. Note that the optimized structure for the triplet state of imidazole has a different symmetry with respect to the singlet; the symmetry labels therefore do not apply in this case.

ImH S0 (Cs) ImH+ D0 (Cs) ImH T0 (C1)

# Sym Harm VPT2 Harm VPT2 Dusch. % dev Harm VPT2 Dusch. % dev

1 A″ 540 533 496 491 487 0.78 201 137 196 43.14
2 A″ 647 633 544 531 534 0.73 404 328 394 20.15
3 A″ 683 673 707 690 694 0.70 467 392 455 16.00
4 A″ 743 724 799 778 781 0.42 599 545 586 7.42
5 A′ 827 810 825 806 810 0.57 736 611 719 17.80
6 A″ 885 864 890 872 871 0.20 809 775 793 2.25
7 A′ 908 895 923 907 908 0.14 832 801 815 1.86
8 A″ 946 932 936 917 913 0.42 914 865 892 3.14
9 A′ 1073 1049 964 942 944 0.26 916 871 895 2.75
10 A′ 1093 1069 1043 1018 1021 0.24 1008 966 982 1.72
11 A′ 1144 1121 1125 1105 1100 0.47 1049 1025 1024 0.05
12 A′ 1159 1133 1212 1186 1184 0.21 1107 1074 1080 0.58
13 A′ 1286 1261 1265 1242 1237 0.45 1262 1232 1229 0.25
14 A′ 1363 1323 1295 1270 1267 0.22 1305 1271 1272 0.11
15 A′ 1427 1389 1416 1365 1380 1.12 1358 1317 1322 0.40
16 A′ 1499 1470 1453 1415 1421 0.41 1396 1346 1366 1.45
17 A′ 1556 1524 1539 1494 1506 0.79 1541 1507 1501 0.37
18 A′ 3242 3115 3235 3112 3109 0.09 3110 2988 2984 0.13
19 A′ 3244 3118 3241 3116 3115 0.04 3180 3054 3055 0.05
20 A′ 3272 3145 3248 3124 3122 0.05 3230 3083 3105 0.69
21 A′ 3652 3484 3565 3399 3401 0.07 3467 3223 3325 3.17