`prefersFCC`

definition

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module: IndisputableMonolith.Chemistry.CrystalStructure
domain: Chemistry
line: 177 · github
papers citing: none yet

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IndisputableMonolith.Chemistry.CrystalStructure on GitHub at line 177.

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depends on

that IndisputableMonolith.NumberTheory.PhiLadderLattice

formal source

 174def prefersBCC : List ℕ := [3, 11, 19, 37, 55, 26, 24, 74, 42]  -- Li, Na, K, Rb, Cs, Fe, Cr, W, Mo
 175
 176/-- Metals that prefer FCC: Cu, Ag, Au, Al, Ni, Pb. -/
 177def prefersFCC : List ℕ := [29, 47, 79, 13, 28, 82]
 178
 179/-- Metals that prefer HCP: Mg, Zn, Ti, Zr. -/
 180def prefersHCP : List ℕ := [12, 30, 22, 40]
 181
 182/-- Alkali metals prefer BCC (strongest 8-tick coherence). -/
 183theorem alkali_prefer_bcc : ∀ Z, Z ∈ [3, 11, 19, 37, 55] → Z ∈ prefersBCC := by
 184  decide
 185
 186end
 187
 188end CrystalStructure
 189end Chemistry
 190end IndisputableMonolith

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