Correlated energy from radial density-energy relations.
Correlated energy from radial density-energy relations.
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DOI:
10.1098/rsos.221402
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发表时间:
2023-03
影响因子:
3.5
通讯作者:
Cox, Hazel
中科院分区:
文献类型:
--
作者:
Baskerville, Adam L.;Gray, Conor;Cox, Hazel
Here, we demonstrate that the radial distribution function can be mapped into a radial density–energy space and the relationship between the radial density and radial energy is linear for the ground and excited states of helium-like systems; the gradient of the resulting straight line delivers the energy of the state considered. To utilize this finding, a simple analytical expression for the total energy in terms of the density at the most probable nucleus–electron distance of the systems considered is derived using a fitting procedure.
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