The Geometric Blueprint of Perovskites
Marina R. Filip, Feliciano Giustino

TL;DR
This paper demonstrates that the geometric 'no-rattling' principle effectively predicts new perovskite structures with high accuracy, revealing a vast number of undiscovered compounds and enabling systematic materials discovery.
Contribution
It refines the 'no-rattling' principle for predicting perovskites and combines it with data mining to identify millions of potential new compounds.
Findings
80% prediction fidelity for new perovskites
Discovered 90,000 potential new compounds
Geometric blueprints enable large-scale screening
Abstract
Perovskite minerals form an essential component of the Earth's mantle, and synthetic crystals are ubiquitous in electronics, photonics, and energy technology. The extraordinary chemical diversity of these crystals raises the question on how many and which perovskites are yet to be discovered. Here we show that the "no-rattling" principle postulated by Goldschmidt in 1926, describing the geometric conditions under which a perovskite can form, is much more effective than previously thought, and allows us to predict new perovskites with a fidelity of 80%. By supplementing this principle with inferential statistics and internet data mining we establish that currently known perovskites are only the tip of the iceberg, and we enumerate ninety thousand hitherto-unknown compounds awaiting to be studied. Our results suggest that geometric blueprints may enable the systematic screening of…
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