Experimental Validation of Trigonometric-Algebraic Models in Chemical Field Applications

This paper provides an experimental and numerical validation of two novel mathematical models that incorporate trigonometric and algebraic components: (1) the Trigonometric Algebra framework and (2) a compound function T(x, y) proposed for modeling asymmetric potential fields. These models are examined through external literature data, including molecular spectroscopy, thermodynamics, and quantum mechanics, without relying on simulations. The results confirm that these functions reflect real-world chemical phenomena such as bond oscillations, asymmetric energy profiles, and thermal behavior.The author acknowledges the use of OpenAI’s language model for assistance in drafting certain sections of this work.