- ESSAY
The ‘quantum’ principle that says why atoms are as they are

The Pauli exclusion principle determines the periodic relationships between the chemical elements — however they are depicted. Credit: Courtesy of Science History Institute
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Nature 639, 296-299 (2025)
doi: https://doi.org/10.1038/d41586-025-00731-x
References
Pauli, W. Z. Phys. 31, 765–783 (1925).
Bohr, N. Lond. Edinb. Dublin Phil. Mag. J. Sci. 26, 1–25 (1913).
Duncan, A. & Janssen, M. Constructing Quantum Mechanics Vol. 1 & 2 (OUP, 2019 & 2023).
Enz, C. P. No Time to Be Brief (OUP, 2010).
Heilbron, J. L. Hist. Stud. Phys. Sci. 13, 261–310 (1983).
Dirac, P. A. M. Proc. R. Soc. Lond. A 114, 243–265 (1927).
Monaldi, D. in The Oxford Handbook of the History of Quantum Interpretations (ed. Friere, O.) 255–280 (OUP, 2022).
Pauli, W. Phys. Rev. 58, 716–722 (1940).
Borrelli, A. in Compendium of Quantum Physics (eds Greenberger, D., Hentschel, K. & Weinert, F.) 733–736 (Springer, 2009).
Dyson, F. J. J. Math. Phys. 8, 1538–1545 (1967).
Dyson, F. J. & Lenard, A. J. Math. Phys. 8, 423–434 (1967).
Lieb, E. H. & Thirring, W. E. Phys. Rev. Lett. 35, 687–689 (1975).
Competing Interests
The authors declare no competing interests.