Correction to: Nature Reviews Chemistry https://doi.org/10.1038/s41570-022-00416-3, published online 25 August 2022.

In the version of this article initially published, there was a typographical error in Fig. 5c, where the top-left formula now reading “C10H2” appeared initially as “C10H12”. In the bottom section of Fig. 5c, the 4G-HDNNP result now presented was preceded in error by the 3G-HDNNP result from the same source article (Ko, T. W. et al. Nat. Commun. https://doi.org/10.1038/s41467-020-20427-2 (2021)). The figure has been updated in the HTML and PDF versions of the article.