energy hypersurface (potential energy surface) (PES)

https://doi.org/10.1351/goldbook.ET07029
The notion of hypersurface is used to stress the multidimensionality of PESs. In a molecular system consisting of \(N\) atomic nuclei, the number of the independent coordinates that fully determine the PES is equal to \(3\ N-6\) (or \(3\ N-5\) if the system is linear).
Source:
PAC, 1999, 71, 1919. (Glossary of terms used in theoretical organic chemistry) on page 1938 [Terms] [Paper]
Citation: 'energy hypersurface' in IUPAC Compendium of Chemical Terminology, 3rd ed. International Union of Pure and Applied Chemistry; 2006. Online version 3.0.1, 2019. https://doi.org/10.1351/goldbook.ET07029 RIS BibTex EndNote
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Last revised: February 24, 2014