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Coordenadas Conformes para Geometría Molecular: De 3D a 5D

Jesus Camargo¹, Carlile Lavor², Michael Souza³

¹CCET, The Western Paraná State University, Cascavel, Brazil.

Journal of computational chemistry

|February 3, 2026

Abstract:

This paper introduces the conformal model (an extension of the homogeneous coordinate system) for molecular geometry, where 3D space is represented within $ℝ^{5}$ with an inner product different from the usual one. This model enables efficient computation of interatomic distances using what we call the Conformal Coordinate Matrix (C-matrix). The C-matrix not only simplifies the mathematical framework but also reduces the number of operations required for distance calculations compared to traditional methods.

Palabras clave:

Matriz C Matriz Z coordenadas conformes modelo conforme del espacio 3D coordenadas homogéneas geometría molecular

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