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Argon–Krypton Electron Gain Enthalpy Investigation

Research Log

The Question

Phase I — The Beginning

Late June 2026

The classroom question that became a research project.

First Quantum-Chemistry Investigation

Phase I — Initial Investigation

June 13, 2026

Defining the first precise research question and investigating what modern quantum chemistry predicts.

Stress-Testing the Hypothesis

Phase I — Critical Evaluation

June 14 – July 12, 2026

Attempting to challenge the initial explanation before accepting it.

Building the Scattering-Theory Framework

Phase II — Mathematical Framework

Early July 2026

Establishing the mathematical foundation for investigating low-energy electron attachment.

The Jost Transformation

Phase II — Building the Mathematics

Early July 2026

Transforming the scattering equation into a form suitable for analytical investigation.

Constructing the Volterra Integral Equation

Phase II — Building the Mathematics

Early July 2026

Reformulating the scattering problem as an integral equation suitable for systematic analysis.

The Exact Zero-Energy Solution

Phase II — Building the Mathematics

Early July 2026

Obtaining and verifying the exact analytical solution of the zero-energy polarization-scattering equation.

Scattering Length and Threshold Behavior

Phase II — Building the Mathematics

Mid July 2026

Relating the exact zero-energy solution to the scattering length and the threshold behavior of low-energy electron scattering.

Reading the O'Malley Papers

Phase III — Comparison with the Literature

Mid July 2026

Comparing independently reconstructed mathematics with the foundational scattering-theory papers.

The Volterra Self-Audit

Phase III — Comparison with the Literature

Mid–Late July 2026

Re-examining the perturbation framework after comparison with the original scattering-theory literature.

Pivot to the Historical Investigation

Phase IV — Historical Investigation

Late July 2026

Shifting the investigation from theoretical scattering physics to the historical origin of the reported electron gain enthalpy values.

Primary-Source Investigation

Phase IV — Historical Investigation

Late July 2026

Reading the foundational electron-affinity literature to determine what the original papers actually report for argon and krypton.

Searching for the Origin of +96 kJ/mol

Phase IV — Historical Investigation

August 2026

Defining the central unresolved question after examining the foundational electron-affinity literature.