Calculation of the dynamic first electronic hyperpolarizability β(−ω{sub σ}; ω{sub 1}, ω{sub 2}) of periodic systems. Theory, validation, and application to multi-layer MoS{sub 2}
- Dipartimento di Chimica and NIS (Nanostructured Interfaces and Surfaces) Centre, Università di Torino, via Giuria 5, I-10125 Torino (Italy)
- Equipe de Chimie Physique, IPREM UMR5254, Université de Pau et des Pays de l’Adour, 64000 Pau (France)
- Department of Chemistry and Biochemistry, University of California, Santa Barbara, California 93106 (United States)
We describe our implementation of a fully analytical scheme, based on the 2n + 1 rule, for computing the coupled perturbed Hartree Fock and Kohn-Sham dynamic first hyperpolarizability tensor β(−ω{sub σ}; ω{sub 1}, ω{sub 2}) of periodic 1D (polymer), 2D (slab), and 3D (crystal) systems in the CRYSTAL code [R. Dovesi et al., Int. J. Quantum Chem. 114, 1287 (2014)], which utilizes local Gaussian type basis sets. The dc-Pockels (dc-P) and second harmonic generation (SHG) tensors are included as special cases. It is verified that (i) symmetry requirements are satisfied; (ii) using LiF as an example, the infinite periodic polymer result agrees with extrapolated finite oligomer calculations and, likewise, for the build-up to a 2D slab and a 3D crystal; (iii) the values converge to the static case for low frequencies; and (iv) the Bishop-deKee dispersion formulas relating dc-P, SHG, and general processes are reproduced through quartic terms. Preliminary SHG calculations on multi-layer MoS{sub 2} satisfactorily reproduce experimental data.
- OSTI ID:
- 22493390
- Journal Information:
- Journal of Chemical Physics, Vol. 143, Issue 24; Other Information: (c) 2015 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA); ISSN 0021-9606
- Country of Publication:
- United States
- Language:
- English
Similar Records
Ab initio investigation of electronic and vibrational contributions to linear and nonlinear dielectric properties of ice
Alkali-metal/alkaline-earth-metal fluorine beryllium borate NaSr{sub 3}Be{sub 3}B{sub 3}O{sub 9}F{sub 4} with large nonlinear optical properties in the deep-ultraviolet region