Inorganic
crystals are advantageous for use as second harmonic
generation (SHG) materials because of their large laser damage threshold
and mechanical strength. Here, we focus on the defect pyrochlores
based on mixed oxides of MoO3, Ta2O5, Cs2O, and Nb2O5, which were synthesized
recently. We predict the linear optical properties (refractive indices
and linear polarizabilities) and nonlinear ones [first hyperpolarizabilities
and nonlinear optical (NLO) tensors] for the crystals of the defect
pyrochlores CsNbMoO6 and CsTaMoO6 using the
coupled-perturbed Hartree–Fock/Kohn–Sham method (CPHF/KS)
in both full-electron and pseudopotential basis sets. To identify
the more accurate computational protocol, the crystals KH2PO4, LiNbO3, (NH2)2CO,
and α-SiO2 were used as benchmarks. The best agreement
of the predicted NLO parameters with experimental ones is achieved
in calculations at the density functional theory/PBE0 level in the
POB-TZVP basis. This agreement becomes quantitative when the dimensionless
relative value of the NLO activity ρ is used. The calculated
relative SHG characteristics of the pyrochlore crystals are ρ(CsNbMoO6/LiNbO3) = 0.016 and ρ(CsTaMoO6/LiNbO3) = 0.022 and ρ(CsNbMoO6/KDP)
= 0.39 and ρ(CsTaMoO6/KDP) = 0.52. The symmetry of
the sublattices of disordered atoms significantly affects the SHG
properties of the crystals, and the values of the calculated properties
for sublattices of different symmetries can vary by an order of magnitude.