Comparison of the harmonic frequencies ωi (in cm−1) for the three HDNNPs and the respective reference ab initio results obtained at the fc-CCSD(T)-F12a/haTZ level of theory. The latter are computed using either the standard convergence criteria (termed default) or stricter convergence criteria (termed tight) with respect to the electronic energy and geometry optimization as well as smaller step sizes in the numerical gradient and Hessian (cf. Section 3).
| Mode | Sym. | HDNNP1 | HDNNP2 | FAD-HDNNP | Ab initio | |
|---|---|---|---|---|---|---|
| HDNNP3 | Default | Tight | ||||
| ω 1 | A g | 3218 | 3212 | 3209 | 3203 | 3207 |
| ω 2 | A g | 3060 | 3077 | 3103 | 3105 | 3103 |
| ω 3 | A g | 1708 | 1723 | 1722 | 1717 | 1718 |
| ω 4 | A g | 1443 | 1485 | 1486 | 1484 | 1482 |
| ω 5 | A g | 1376 | 1417 | 1410 | 1413 | 1411 |
| ω 6 | A g | 1254 | 1249 | 1257 | 1257 | 1255 |
| ω 7 | A g | 689 | 681 | 688 | 688 | 686 |
| ω 8 | A g | 216 | 215 | 214 | 211 | 210 |
| ω 9 | A g | 164 | 173 | 167 | 171 | 170 |
| ω 10 | B g | 1073 | 1083 | 1083 | 1085 | 1083 |
| ω 11 | B g | 980 | 960 | 957 | 960 | 955 |
| ω 12 | B g | 257 | 241 | 257 | 258 | 249 |
| ω 13 | A u | 1128 | 1106 | 1109 | 1102 | 1101 |
| ω 14 | A u | 937 | 983 | 979 | 986 | 985 |
| ω 15 | A u | 213 | 161 | 180 | 186 | 173 |
| ω 16 | A u | 68 | 71 | 71 | 76 | 68 |
| ω 17 | B u | 3324 | 3323 | 3312 | 3305 | 3309 |
| ω 18 | B u | 3108 | 3085 | 3100 | 3101 | 3099 |
| ω 19 | B u | 1773 | 1783 | 1784 | 1782 | 1782 |
| ω 20 | B u | 1411 | 1459 | 1459 | 1456 | 1453 |
| ω 21 | B u | 1358 | 1414 | 1410 | 1405 | 1407 |
| ω 22 | B u | 1208 | 1247 | 1260 | 1260 | 1260 |
| ω 23 | B u | 704 | 718 | 712 | 716 | 715 |
| ω 24 | B u | 281 | 275 | 275 | 278 | 276 |