Table 1. Comparison of structures obtained from HAR refinement using atomic electron density represented (i) with numerical values on the integration grid (standard approach) (ii) with multipole expansion of the densities (up to L max order of spherical harmonics).
Reported maximum difference in length of the covalent bond to atoms (max|ΔR X—H|) and maximum rescaled overlapping coefficient (max ηr) for ADP (see text).
| L max | max|ΔR X—H| (mÅ) | max ηr | ||||
|---|---|---|---|---|---|---|
| Xylitol | Carbamazepine | Urea | Xylitol | Carbamazepine | Urea | |
| 3 | 8.59 | 6.43 | 6.10 | 7.99 | 4.48 | 6.26 |
| 4 | 3.90 | 3.16 | 6.08 | 4.03 | 2.21 | 2.93 |
| 5 | 2.89 | 2.24 | 3.06 | 2.71 | 1.71 | 2.83 |
| 6 | 1.61 | 1.25 | 0.99 | 1.08 | 0.72 | 0.65 |
| 7 | 0.95 | 0.64 | 0.47 | 0.96 | 0.42 | 0.42 |
| 8 | 0.78 | 0.43 | 0.28 | 0.80 | 0.52 | 0.25 |
| 9 | 0.62 | 0.25 | 0.16 | 0.54 | 0.28 | 0.18 |