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Zenodo
2025
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| Online Access: | https://doi.org/10.5281/zenodo.17304697 |
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| _version_ | 1866901525453864960 |
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| author | Khan, Mustafa |
| author_facet | Khan, Mustafa |
| contents | <p> We derive the total energy expression for hydrogen by properly maintaining the asymmetric scalar-vector nature of The Prince Equation. The requirement to treat radial (scalar from dot product) and tangential (vector from cross product) components differently leads to a total energy expression δE(<code>T)</code> = −hv(r) cosθ/[r(1 - sin θ)] with θ = n/(2π). This expression naturally creates confinement at n(max) = 8, explains hydrogen’s chemical reactivity through the n = 8 to 9 transition zone, and unifies covalent, ionic, and van der Waals bonding as different manifestations of the geometric transition from bound to free states.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_17304697 |
| institution | Zenodo |
| language | |
| publishDate | 2025 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Total Energy Expression and Chemical Bonding in Hydrogen from The Prince Equation Khan, Mustafa <p> We derive the total energy expression for hydrogen by properly maintaining the asymmetric scalar-vector nature of The Prince Equation. The requirement to treat radial (scalar from dot product) and tangential (vector from cross product) components differently leads to a total energy expression δE(<code>T)</code> = −hv(r) cosθ/[r(1 - sin θ)] with θ = n/(2π). This expression naturally creates confinement at n(max) = 8, explains hydrogen’s chemical reactivity through the n = 8 to 9 transition zone, and unifies covalent, ionic, and van der Waals bonding as different manifestations of the geometric transition from bound to free states.</p> |
| title | Total Energy Expression and Chemical Bonding in Hydrogen from The Prince Equation |
| url | https://doi.org/10.5281/zenodo.17304697 |