Table 4.
Scaled (using PH3 and PCl3) chemical shifts for the “failures” 1a, 8, and 32 for various optimization and NMR functionals.
| Entry | Optimization | NMRa | 1a PA | 1a PB | 8 PB | 32 | MADb |
|
| |||||||
| experimental | 39.6 | 297.6 | −157.7 | −181 | |||
| 1 | PBE0 (Latypov) | PBE0 (Latypov) | 37.2 | 282.5 | −139.6 | −112.7 | 33.9 |
| 2 | B3LYP | B3LYP | 42.1 | 278.4 | −114.2 | −59.2 | 61.5 |
| 3 | M06-2X | B3LYP | 40.3 | 272.2 | −125.7 | −167.9 | 23.5 |
| 4 | M06-2X | M06-2X | 56.2 | 336.0 | −115.1 | −175.2 | 28.9 |
| 5 | M06-2X | TPSSTPSS | 36.9 | 256.4 | −135.8 | −164.1 | 26.7 |
| 6 | M06-2X | TPSSTPSS* | 34.3 | 260.3 | −148.1 | −173.3 | 18.2 |
| 7 | TPSSTPSS | TPSSTPSS* | 31.8 | 259.0 | −132.9 | −20.9 | 74.5 |
| 8 | M06-2X | LC-TPSSTPSS | 38.1 | 339.4 | −132.4 | −184.8 | 23.6 |
| 9 | M06-2X | LC-TPSSTPSS* | 33.4 | 345.0 | −149.8 | −199.0 | 24.4 |
| 10 | M06-2X | PBETPSS | 44.1 | 260.1 | −124.5 | −152.2 | 33.1 |
| 11 | M06-2X | PBETPSS* | 41.4 | 264.4 | −139.0 | −162.3 | 23.5 |
| 12 | M06-2X | LC-PBETPSS | 40.9 | 342.1 | −127.4 | −178.4 | 25.8 |
| 13 | M06-2X | LC-PBETPSS* | 35.0 | 348.7 | −147.5 | −195.4 | 25.3 |
| 14 | M06-2X | M06-L | 36.5 | 274.4 | −156.7 | −180.9 | 8.1 |
| 15 | M06-2X | M06-L* | 32.1 | 278.1 | −171.5 | −190.8 | 14.4 |
| 16 | M06-L | M06-L | 27.4 | 257.4 | −161.4 | −61.5 | 54.5 |
| 17 | M06-2X | M11-L | 23.6 | 231.5 | −156.5 | −181.8 | 22.7 |
| 18 | M11-L | M11-L | 7.8 | 212.3 | −172.6 | −70.1 | 70.4 |
| 19 | M11 | M11 | 43.8 | 339.8 | −124.9 | −194.4 | 29.5 |
| 20 | MN12-SX | MN12-SX | 27.2 | 274.6 | −154.9 | −145.6 | 20.4 |
| 21 | BLYP-D3 | BLYP-D3 | 34.4 | 242.3 | −100.1 | −7.6 | 95.4 |
| 22 | M06-2X-D3 | M06-2X-D3 | 56.1 | 336.0 | −115.0 | −175.2 | 29.0 |
| 23 | M06-L-D3 | M06-L-D3 | 27.3 | 257.4 | −161.3 | −61.5 | 54.4 |
| 24 | TPSSTPSS-D3 | TPSSTPSS-D3* | 31.8 | 259.6 | −140.5 | −23.1 | 71.0 |
| 25 | M06-2X | ωB97X-D | 39.3 | 293.1 | −132.8 | −177.7 | 10.9 |
| 26 | ωB97X-D | ωB97X-D | 38.0 | 292.8 | −136.9 | −174.2 | 10.8 |
| 27 | M06-2X | PBE0 | 43.3 | 285.1 | −133.2 | −169.0 | 16.3 |
aCSGT method indicated by *; all others are GIAO. bMAD for 1a isomer A PB, 8 PB, and 32 isomer A; scaled chemical shifts for 1a isomer A PA (which has a P–C single bond) are shown for comparison but are not included in the MAD calculation, and scaled chemical shifts for 8 PA are not included because these are correctly calculated by all methods previously (Table 2).