IndisputableMonolith.Chemistry.IonizationEnergy
This module supplies a dimensionless ionization energy proxy derived from an element's position within its RS period. The proxy runs from 1 for alkali metals to the full period length for noble gases, encoding the shell-formation cost. Modelers of RS-derived ionic bonds cite it to fix transfer thresholds in a zero-parameter setting. It is a definition module with no proofs, importing the eight-tick octave and base time quantum.
claimThe dimensionless ionization proxy $I(Z)$ equals the ordinal position of element $Z$ inside its period, satisfying $1 = I(Z_1) < I(Z_2) < ... < I(Z_L) = L$ where $L$ is the period length and $Z_1$ is the alkali metal.
background
The module rests on the PeriodicTable engine, which supplies an octave-to-eight-tick mapping for chemistry using fixed phi-tier rails, block offsets (s/p/d/f), and an eight-window neutrality predicate to detect noble-gas closures without per-element tuning. Constants supplies the RS-native time quantum tau_0 = 1 tick. The proxy captures the cost to break into a forming shell as a position scalar on the phi-ladder.
proof idea
This is a definition module, no proofs.
why it matters in Recognition Science
It supplies the low-ionization input required by the IonicBond module for the 8-Tick Closure Drive mechanism, where cations and anions seek shell closure after electron transfer. The module therefore closes the chemistry-to-bonding link in the Recognition Science chain.
scope and limits
- Does not output ionization energies in electron-volts or other physical units.
- Does not incorporate electron affinity or electronegativity.
- Does not admit empirical fitting parameters or dataset calibration.
- Does not extend to relativistic or fine-structure corrections.