Authors: Harish Chandra Rajpoot
This paper presents a proof of the angle between any two bonds in a molecule possessing a tetrahedral structure, such as the methane molecule, in which all four σ-bonds (corresponding to four hydrogen atoms bonded to a central carbon atom) are equally inclined in three-dimensional space. The bond angle is derived using two independent approaches. The first method involves formulating the geometry of a right pyramid with a regular n-gonal base, while the second employs HCR’s formula for regular polyhedra. Both approaches lead to the same result, thereby providing a simple and rigorous geometric justification of the tetrahedral bond angle.
Comments: 9 Pages, 5 Figures
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[v1] 2026-02-06 00:08:09
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