Table 11. Scaled Point-Charge Approximation (sPCA) (See Eq 35) of Inter-Atomic Bielectronic Integrals for Nearest-Neighbor Interactionsa.
System | RAB | QA | QB | δAB | EclAB | scl | ExAB | sx |
---|---|---|---|---|---|---|---|---|
β-N2 | 1.108 | 0.003 | 0.003 | 2.999 | 0.220 | b | –0.903 | 0.630 |
CO2 | 1.149 | 2.280 | –1.140 | 1.323 | –1.415 | 1.182 | –0.426 | 0.699 |
Graphite | 1.422 | 0.000 | –0.001 | 1.202 | 0.037 | b | –0.372 | 0.832 |
BN (hex.) | 1.446 | 2.214 | –2.213 | 0.452 | –1.762 | 0.982 | –0.135 | 0.816 |
Diamond | 1.545 | 0.001 | 0.001 | 0.914 | 0.014 | b | –0.284 | 0.907 |
BN (cubic) | 1.561 | 2.160 | –2.160 | 0.357 | –1.587 | 1.004 | –0.106 | 0.881 |
MgB2 | 1.782 | –0.813 | –0.813 | 0.983 | 0.166 | 0.845 | –0.249 | 0.852 |
MgO | 2.106 | 1.711 | –1.712 | 0.129 | –0.725 | 0.984 | –0.029 | 0.884 |
LiCl | 2.566 | 0.897 | –0.899 | 0.044 | –0.165 | 0.991 | –0.007 | 0.819 |
Al | 2.863 | 0.000 | 0.000 | 0.273 | 0.0013 | b | –0.054 | 1.071 |
NaCl | 2.896 | 0.875 | –0.878 | 0.064 | –0.1376 | 0.980 | –0.010 | 0.866 |
CsCl | 3.540 | 0.826 | –0.827 | 0.126 | –0.1019 | 0.996 | –0.017 | 0.915 |
Na | 3.667 | 0.000 | 0.000 | 0.108 | 0.0008 | b | –0.013 | 0.836 |
Energies in Ha, distances in Å, and charges in e units.
For interactions between (nearly)
noncharged atomic species, the scaling parameters scl become quite large, because the electrostatic interaction
is then no longer dominated by a monopolar term. Nevertheless, the absolute
error
of this assumption is typically small, because the interactions are
weak.