Table 5. DFT-derived first-order electric susceptibilities [χ(1), dimensionless], diagonalized dielectric tensor elements (ɛ, dimensionless†) and second-order electric susceptibilities [χ(2), atomic units‡] for bulk CaDGalBr, CaDGalI, sucrose and 2-deoxy-β-D-galactose (DGal), all in space group P21 .
| CaDGalBr | CaDGalI | Sucrose§ | DGal | |
|---|---|---|---|---|
| χ xx (1) | 1.0553 | 1.0263 | 1.1622 | 1.1580 |
| χ xz (1) | 0.01 | 0.0306 | −0.0435 | −0.0563 |
| χ yy (1) | 1.0901 | 1.1064 | 1.2136 | 1.2302 |
| χ zz (1) | 1.0078 | 1.0893 | 1.1750 | 1.1576 |
| ɛ11 | 2.0573 | 2.0138 | 2.1247 | 2.2141 |
| ɛ22 | 2.0901 | 2.1064 | 2.2136 | 2.2302 |
| ɛ33 | 2.0057 | 2.1017 | 2.2125 | 2.1015 |
| χ xxy (2) | −0.0664 | 0.2583 | 0.1447 | −0.1493 |
| χ xyz (2) | 0.1552 | 0.1050 | −0.0013 | −0.1954 |
| χ yyy (2) | 0.2424 | 0.3996 | 0.2885 | −0.4466 |
| χ yzz (2) | 0.2434 | 0.6075 | 0.2048 | −0.0472 |
Diagonal elements of the dielectric tensor, ɛ, in the principal axes system.
Second-order susceptibilities can be expressed in other conventions through the usual conversion factors. Frequent alternative expressions of the second-order tensor components as β ijk or dijk quantities (always in atomic units) are β ijk = (Vχ ijk )/2π, V being the unit-cell volume in cubic bohr, and dijk = χ ijk /2. Conversion to the MKS system in terms of reciprocal electric field units can be accomplished according to dijk (MKS) = dijk (a.u.)/0.514220632 pm V−1. See also https://physics.nist.gov/cuu/Constants/index.html.
DFT estimates for sucrose at the same level of theory employed in this work have been taken from Marabello et al. (2019b ▸).