What does electron density mean?

Definitions for electron density
elec·tron den·si·ty

This dictionary definitions page includes all the possible meanings, example usage and translations of the word electron density.

Wiktionary

  1. electron densitynoun

    A measure of the probability of finding an electron at a specific location within an orbital

  2. electron densitynoun

    A measure of the number of electrons per unit volume of space.

Wikipedia

  1. Electron density

    Electron density or electronic density is the measure of the probability of an electron being present at an infinitesimal element of space surrounding any given point. It is a scalar quantity depending upon three spatial variables and is typically denoted as either ρ ( r ) {\displaystyle \rho ({\textbf {r}})} or n ( r ) {\displaystyle n({\textbf {r}})} . The density is determined, through definition, by the normalised N {\displaystyle N} -electron wavefunction which itself depends upon 4 N {\displaystyle 4N} variables ( 3 N {\textstyle 3N} spatial and N {\displaystyle N} spin coordinates). Conversely, the density determines the wave function modulo up to a phase factor, providing the formal foundation of density functional theory. According to quantum mechanics, due to the uncertainty principle on an atomic scale the exact location of an electron cannot be predicted, only the probability of its being at a given position; therefore electrons in atoms and molecules act as if they are "smeared out" in space. For one-electron systems, the electron density at any point is proportional to the square magnitude of the wavefunction.

Wikidata

  1. Electron density

    Electron density is the measure of the probability of an electron being present at a specific location. In molecules, regions of electron density are usually found around the atom, and its bonds. In de-localized or conjugated systems, such as phenol, benzene and compounds such as hemoglobin and chlorophyll, the electron density covers an entire region, i.e., in benzene they are found above and below the planar ring. This is sometimes shown diagrammatically as a series of alternating single and double bonds. In the case of phenol and benzene, a circle inside a hexagon shows the de-localized nature of the compound. This is shown below: In compounds with multiple ring systems which are interconnected, this is no longer accurate, so alternating single and double bonds are used. In compounds such as chlorophyll and phenol, some diagrams show a dotted or dashed line to represent the de-localization of areas where the electron density is higher next to the single bonds. Conjugated systems can sometimes represent regions where electromagnetic radiation is absorbed at different wavelengths resulting in compounds appearing coloured. In polymers, these areas are known as chromophores. In quantum chemical calculations, the electron density, ρ, is a function of the coordinates r, defined so ρdr is the number of electrons in a small volume dr. For closed-shell molecules, ρ can be written in terms of a sum of products of basis functions, φ:

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Numerology

  1. Chaldean Numerology

    The numerical value of electron density in Chaldean Numerology is: 3

  2. Pythagorean Numerology

    The numerical value of electron density in Pythagorean Numerology is: 8


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"electron density." Definitions.net. STANDS4 LLC, 2024. Web. 25 Apr. 2024. <https://www.definitions.net/definition/electron+density>.

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