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. 2021 Jul 6;77(Pt 4):506–514. doi: 10.1107/S2052520621004637

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 ).