The periodic table structure derived from Oₕ crystal field splitting of the truncated octahedron. Four subshell types (s, p, d, f) from irrep decomposition. Subshell capacities (2, 6, 10, 14) from irrep dimensions × spin degeneracy. Period lengths (2, 8, 8, 18, 18, 32, 32). Intra-shell ordering from face Laplacian eigenvalue ordering. Maximum angular momentum l = 3 from 14-face cell geometry. The Madelung inter-shell ordering derivation chain established. Zero free parameters.
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Luke Martin
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Luke Martin (Mon,) studied this question.
www.synapsesocial.com/papers/69c37bf3b34aaaeb1a67ee7d — DOI: https://doi.org/10.5281/zenodo.19185628