def
definition
ammoniaAnglePrediction
show as:
view math explainer →
open explainer
Generate a durable explainer page for this declaration.
open lean source
IndisputableMonolith.Chemistry.BondAngles on GitHub at line 150.
browse module
All declarations in this module, on Recognition.
explainer page
depends on
formal source
147
148/-- Ammonia (NH₃) bond angle is between water and tetrahedral.
149 Observed: 107°. -/
150def ammoniaAnglePrediction : ℝ := tetrahedralAngleDegrees - 2.5 -- One LP
151
152/-! ## Falsification Criteria
153
154The tetrahedral angle derivation is falsifiable:
155
1561. **Cosine value**: If cos(tetrahedral angle) ≠ -1/3 for sp³ carbon
157
1582. **Trend violation**: If bond angle doesn't decrease with lone pairs:
159 CH₄ (109.5°) > NH₃ (107°) > H₂O (104.5°)
160
1613. **Formula violation**: If cos(θ) ≠ -1/(n-1) for other geometries
162-/
163
164end
165
166end Chemistry
167end IndisputableMonolith