Our findings motivate the formulation of a periodic table of chemical compounds based on the ubiquity of nontrivial electronic band topology in solid-state materials. The relative preponderance of RTopo and STopo materials in the ICSD, combined with our recognition that the surface resonance bands in Bi_2Mg_3 are RTopo surface states, suggests that many of the surface resonances detected in previous ARPES investigations are in fact topological surface states protected by spectral flow below E_F. Lastly, as there are known TI and TSM phases that cannot be detected by SIs, our results represent a lower bound on the percentage of materials in nature with topologically nontrivial electronic properties; future investigations may reveal that an even higher percentage of solid-state materials exhibit previously overlooked topological properties.
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