# Origin of Large Second-Harmonic Generation in Nonpolar Molybdenum Tellurite Compounds

## TL;DR

This paper explores why certain molybdenum tellurite compounds show strong second-harmonic generation, offering insights for designing better nonlinear optical materials.

## Contribution

The study identifies the role of stereochemically active lone pairs and nonbonding oxygen states in enhancing SHG responses in molybdenum tellurite compounds.

## Key findings

- SHG responses are mainly governed by occupied O 2p states and unoccupied Mo 4d and Te 5p states.
- Strong synergistic effects between Te stereochemically active lone pairs and O 2p states enhance SHG in ZnTM and MgTM.
- MoO4 units dominate SHG responses, while TeO4 units contribute secondarily.

## Abstract

Molybdenum tellurite compounds have attracted increasing interest as promising nonlinear optical (NLO) materials, yet their microscopic second-harmonic generation (SHG) mechanisms remain unclear. In this work, the electronic structures and SHG responses of ATeMoO6 (ATM, A = Mg, Cd, Zn) are systematically investigated using first-principles calculations combined with atom response theory. The results show that the SHG responses are mainly governed by the occupied nonbonding O 2p states and the unoccupied Mo 4d and Te 5p states. Our atom response theory analysis reveals that a strong synergistic effect between stereochemically active lone pairs (SCALPs) on Te atoms and nonbonding O 2p states critically enhances the SHG response in ZnTM and MgTM. In contrast, the relative weaker Te SCALPs in CdTM fail to provide a comparable contribution, leading to its lower SHG performance. The structure group analysis reveals that MoO4 units dominate the SHG response, while TeO4 units provide secondary contributions. Moreover, group dipole moments are found to be insufficient to explain the SHG behavior. These findings provide microscopic insights into SHG origins and offer guidance for NLO material design.