IndisputableMonolith.Chemistry.PeriodicBlocks

   1import Mathlib
   2import IndisputableMonolith.Constants
   3
   4/-!
   5Periodic table block structure proxy from φ-packing of orbitals.
   6
   7We model a dimensionless capacity `φ^(2n)` for the n-th shell and an
   8energy-like shell scale `E_coh * φ^(2n)`, yielding a direct identity
   9used by certificates and reports.
  10-/
  11
  12namespace IndisputableMonolith
  13namespace Chemistry
  14
  15noncomputable def block_capacity (n : Nat) : ℝ := Constants.phi ^ (2 * n)
  16
  17noncomputable def shell (n : Nat) : ℝ := Constants.E_coh * block_capacity n
  18
  19/-- Identity: shell scale equals `E_coh` times capacity at each n. -/
  20@[simp] theorem blocks_holds (n : Nat) : shell n = Constants.E_coh * block_capacity n := by
  21  rfl
  22
  23end Chemistry
  24end IndisputableMonolith
  25
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