Table 2.
Absolute (in kcal mol−1)a and relative (in %) deviation of N−H BDEs from experimental values.
| N-H BDE | NH1 | NH2 | NH3 | NH4 | NH5 | NH6 | NH7 | NH8 | NH9 | absolute values |
relative valuesc |
||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| MUEb | MaxAEb | MUEb | MaxAEb | ||||||||||
| M06-2X | 2.6 | 1.0 | 2.6 | 0.1 | −0.4 | −2.9 | 1.1 | −0.2 | 0.1 | 1.2 | 2.9 | 1.4 | 2.6 |
| M05-2X | 1.9 | 0.1 | 1.9 | −0.8 | −0.1 | −2.6 | 0.2 | −0.8 | −0.3 | 1.0 | 2.6 | 1.1 | 2.4 |
| M06 | −0.8 | −2.5 | 0.2 | −3.8 | −2.5 | −4.9 | −2.4 | −4.6 | −4.1 | 2.9 | 4.9 | 3.2 | 4.5 |
| M05 | −2.3 | −4.0 | −1.4 | −5.1 | −3.6 | −5.7 | −4.6 | −5.6 | −5.1 | 4.1 | 5.7 | 4.6 | 5.2 |
| BMK | 0.5 | −1.3 | 0.6 | −2.4 | −1.8 | −4.0 | −1.7 | −2.5 | −2.1 | 1.9 | 4.0 | 2.1 | 3.7 |
| MPW1B95 | 0.2 | −1.8 | −0.3 | −3.1 | −2.5 | −4.7 | −1.9 | −3.3 | −3.0 | 2.3 | 4.7 | 2.5 | 4.3 |
| B1B95 | −0.5 | −2.4 | −1.1 | −3.8 | −3.3 | −5.5 | −2.7 | −4.0 | −3.9 | 3.0 | 5.5 | 3.3 | 5.0 |
| B98 | −2.0 | −3.9 | −1.6 | −5.5 | −4.9 | −6.9 | −4.4 | −6.1 | −5.4 | 4.5 | 6.9 | 5.0 | 6.3 |
| B97-2 | −2.2 | −4.2 | −2.4 | −5.8 | −5.1 | −7.1 | −4.7 | −6.2 | −6.3 | 4.9 | 7.1 | 5.4 | 6.5 |
| LC-wPBE | −1.0 | −2.8 | −0.3 | −2.5 | −3.0 | −5.4 | −3.0 | −2.4 | −1.4 | 2.4 | 5.4 | 2.7 | 5.0 |
| B3LYP | −1.8 | −3.8 | −1.6 | −5.3 | −4.7 | −6.7 | −4.3 | −5.9 | −5.4 | 4.4 | 6.7 | 4.9 | 6.1 |
| cam-B3LYP | −0.2 | −2.0 | 0.4 | −2.7 | −2.5 | −4.8 | −2.4 | −3.0 | −2.1 | 2.2 | 4.8 | 2.5 | 4.3 |
| B2PLYP | −2.2 | −3.7 | 0.2 | −4.7 | −2.1 | −5.2 | −4.4 | −5.0 | −3.5 | 3.5 | 5.2 | 3.8 | 4.7 |
| MPWB1 K | 0.6 | −1.3 | 0.7 | −2.2 | −1.5 | −4.1 | −1.4 | −2.3 | −1.8 | 1.8 | 4.1 | 2.0 | 3.7 |
| BB1 K | 0.2 | −1.8 | 0.2 | −2.8 | −2.1 | −4.6 | −1.9 | −2.9 | −2.5 | 2.1 | 4.6 | 2.3 | 4.2 |
| BB95 | −2.8 | −4.8 | −4.5 | −7.2 | −6.8 | −8.4 | −5.3 | −7.6 | −7.6 | 6.1 | 8.4 | 6.8 | 7.6 |
| M08-HX | 3.7 | 1.8 | 3.1 | 1.1 | 0.5 | −1.4 | 2.1 | 1.3 | 1.1 | 1.8 | 3.7 | 2.0 | 4.1 |
aAll tested substance geometries were pre-optimized with B3LYP/6-31G(d) functional, then were calculated single-point energy using 6-311 + G(3df,2p) basis set.
bMUE (mean unsigned error) = mean absolute deviation; MaxAE = max absolute error.
cThe relative values of MUEs were calculated from it and the average of BDE values of all N−H substances; the relative values of MaxAE were calculated from it and its corresponding value for BDE of N−H substances.