A modified Moss rule highlights underexplored classes of high refractive index materials

Abstract

High refractive index dielectrics are central to photonic applications, yet the empirical Moss rule imposes a fundamental trade-off between refractive index and optical transparency. We introduce a modified Moss rule anchored to the optical absorption edge rather than the fundamental bandgap, capturing materials where various physical mechanisms suppress absorption well above the electronic gap. Screening the Materials Project database with this metric reveals recurring chemical compositions and structural prototypes in the materials with the most promising refractive index/transparency trade-offs. These materials include chalcopyrites, Zintl pnictides, and early transition metal multi-anion chalconitrides and oxychalcogenides compounds. Hybrid density functional theory calculations reveal that the chalconitride (Hf,Zr)2(S,Se)N2 family can achieve a combination of ultra-high refractive indices, low effective masses and transparency windows extending deep into the UV, surpassing state-of-the-art TiO2 and SiC. Our results establish (Hf,Zr)2(S,Se)N2 compounds as a unique and largely unexplored material family for next-generation photonic applications.