Energy Inversion Principle (EIP), reconstructing molecular binding energy via input-output energy differentials

Energy Inversion Principle (EIP), reconstructing molecular binding energy via input-output energy differentials Jae Un Kim1 1Independent Researcher, Seoul, Korea [email protected] 1 Introduction Molecular binding energy is a fundamental quantity that determines the structural stability, reactivity, and thermodynamic behavior of matter across physics, chemistry, and engineering domains. However, direct quantification of binding energy, especially in gas-phase systems, has remained highly challenging. Traditional measurement techniques often depend on cryogenic conditions, spectrometric equipment, or indirect energy state inference, making them expensive, inaccessible, or sensitive to system conditions. In this work, we propose the Energy Inversion Principle (EIP), a physically grounded analytical method for reconstructing molecular binding energy via input-output energy differentials under a pressure-induced experiment. By applying a known amount of input energy Ein and measuring the emergent output energy Eout, we define the absorbed energy, equivalent to the total binding energy Eb, as: Eb=Eabs =Ein −Eout For mixed gas systems with known molar fractions xi, this generalizes to: Eabs = n X i=1 xi·Ebi where Ebidenotes the molecular binding energy associated with species i. Importantly, if xiis unknown and a non-zero residual is detected through Eresidual =Ein −Eout − n X i=1 xiEbi, this residual implies the existence of unaccounted gas components. Thus, the EIP acts as a dual-purpose system: a binding energy reconstruction tool and a hidden component detector. 1 This paper presents the theoretical formulation of EIP, experimental setup requirements, reconstruction procedures, and potential applications in gas analysis, CO2monitoring, and reactive system characterization. 2 Table of Contents 1. Introduction 2. Background: Challenges in Measuring Molecular Binding Energy 3. Concept of the Energy Inversion Principle (EIP) (a) Energy Conservation Framework (b) Single Gas System Application (c) Mixed Gas System Extension 4. Experimental Setup (a) Pressure Shock Device (b) Output Energy Sensing (c) Control Variables and Error Analysis 5. Result Interpretation (a) Binding Energy Reconstruction (b) Unknown Gas Component Detection 6. Practical Applications 7. Conclusion and Future Scope 2