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- Hooke's atom, also known as harmonium or hookium, refers to an artificial helium -like atom where the Coulombic electron-nucleus interaction potential is replaced by a harmonic potential. [1][2] This system is of significance as it is, for certain values of the force constant defining the harmoni...Learn more:Hooke's atom, also known as harmonium or hookium, refers to an artificial helium -like atom where the Coulombic electron-nucleus interaction potential is replaced by a harmonic potential. [1][2] This system is of significance as it is, for certain values of the force constant defining the harmoni...en.wikipedia.org/wiki/Hooke%27s_atomHooke 's atom (plural Hooke's atoms) (quantum mechanics) An artificial helium -like atom where the Coulombic electron-nucleus interaction potential is replaced by a harmonic potential.en.wiktionary.org/wiki/Hooke%27s_atom
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See all on WikipediaHooke's atom - Wikipedia
Hooke's atom, also known as harmonium or hookium, refers to an artificial helium-like atom where the Coulombic electron-nucleus interaction potential is replaced by a harmonic potential. This system is of significance as it is, for certain values of the force constant defining the harmonic containment, an exactly … See more
Employing atomic units, the Hamiltonian defining the Hooke's atom is
As written, the first two terms are the kinetic energy operators of the two electrons, the third … See moreThe exact ground state electronic density of the Hooke atom for the special case $${\displaystyle k=1/4}$$ is
From this we see that the radial derivative of the density … See moreThe equation to be solved is the two electron Schrödinger equation:
$${\displaystyle {\hat {H}}\Psi (\mathbf {r} _{1},\mathbf {r} _{2})=E\Psi (\mathbf {r} _{1},\mathbf {r} _{2}).}$$
For arbitrary values of the force constant, k, the Schrödinger … See more• Cioslowski, Jerzy; Pernal, Katarzyna (2000). "The Ground State of Harmonium". The Journal of Chemical Physics. 113 (19): 8434–8443. See more
Wikipedia text under CC-BY-SA license Hooke's atom - Wiktionary, the free dictionary
Hooke 's atom (plural Hooke's atoms) (quantum mechanics) An artificial helium-like atom where the Coulombic electron-nucleus interaction potential is replaced by a harmonic potential.
Robert Hooke - Wikipedia, the free encyclopedia
Robert Hooke, FRS (18 July 1635 – 3 March 1703) was an English natural philosopher and polymath who played an important role in the scientific revolution, through both experimental …
Hooke's atom - usefullinks.org
Hooke's atom, also known as harmonium or hookium, refers to an artificial helium-like atom where the Coulombic electron-nucleus interaction potential is replaced by a harmonic potential.
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Hooke s atom - Big Chemical Encyclopedia
This is the so-called Hooke s atom, in which two electrons, mutually repelling Coulombically, move in an external harmonic potential. For a particular choice of spring constant , the ground …
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Hooke's atom - Academic Dictionaries and Encyclopedias
Hooke's atom. Hooke's atom, also known as harmonium, refers to an artificial helium-like atom where the Coulombic electron-nucleus interaction potential is replaced by a harmonic potential.
Hooke's atom - wiktionary.en-academic.com
An artificial helium-like atom where the Coulombic electron-nucleus interaction potential is replaced by a harmonic potential. Syn : hookium Wikipedia foundation .
Robert Hooke - Wikipedia
Hooke's atom – Artificial helium-like atom with a harmonic instead of Coulomb potential; Hooke's law – Physical law: force needed to deform a spring scales linearly with distance; Optical microscope – Microscope that uses visible light; …
Hooke's law - Wikipedia
In physics, Hooke's law is an empirical law which states that the force (F) needed to extend or compress a spring by some distance (x) scales linearly with respect to that distance—that is, F s = kx, where k is a constant factor characteristic of …
Molecular vibration - Wikipedia
The basic assumption is that each vibration can be treated as though it corresponds to a spring. In the harmonic approximation the spring obeys Hooke's law: the force required to extend the …
Atom - Wikipedia
An atom consists of a nucleus of protons and generally neutrons, surrounded by an electromagnetically bound swarm of electrons. The chemical elements are distinguished from …
Hooke's atoms - Wiktionary, the free dictionary
This page was last edited on 16 October 2019, at 13:34. Definitions and other text are available under the Creative Commons Attribution-ShareAlike License; additional ...
Hooke's atom - Alchetron, The Free Social Encyclopedia
Nov 22, 2024 · Hooke's atom, also known as harmonium or hookium, refers to an artificial heliumlike atom where the Coulombic electronnucleus interaction potential is replaced by a …
Hooke's atom - Wikiwand articles
Hooke's atom, also known as harmonium or hookium, refers to an artificial helium-like atom where the Coulombic electron-nucleus interaction potential is replaced by a harmonic potential.
Hooke’s Law: Statement, Formula, and Diagram - Science Facts
2 days ago · What is Hooke’s Law. Hooke’s Law states that for small displacements or deformations, the applied force is directly proportional to the displacement. Hooke’s Law helps …
Deuterium - Wikipedia
Deuterium (hydrogen-2, symbol 2 H or D, also known as heavy hydrogen) is one of two stable isotopes of hydrogen; the other is protium, or hydrogen-1, 1 H. The deuterium nucleus …
Model Bohr - Wikipedia bahasa Indonesia, ensiklopedia bebas
Model Bohr dari atom hidrogen menggambarkan elektron-elektron bermuatan negatif mengorbit pada kulit atom dalam lintasan tertentu mengelilingi inti atom yang bermuatan positif. Ketika …
Hooks Bay - Wikipedia
Luuk ang Hooks Bay sa Nuzeland. [1] Nahimutang ni sa amihanan-sidlakang bahin sa nasod, 500 km sa amihanan sa Wellington ang ulohan sa nasod.. Ang klima kasarangan.Ang …
Hooke's atom — Wikipedia Republished // WIKI 2
Hooke's atom, also known as harmonium or hookium, refers to an artificial helium-like atom where the Coulombic electron-nucleus interaction potential is replaced by a harmonic potential. This …
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