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The number density (symbol: n or ρ N) is an intensive quantity used to describe the degree of concentration of countable objects (particles, molecules, phonons, cells, galaxies, etc.) in physical space: three-dimensional volumetric number density, two-dimensional areal number density, or one-dimensional linear number density.
In quantum chemical calculations, the electron density, ρ(r), is a function of the coordinates r, defined so ρ(r)dr is the number of electrons in a small volume dr. For closed-shell molecules, ρ ( r ) {\displaystyle \rho (\mathbf {r} )} can be written in terms of a sum of products of basis functions, φ:
The carrier density is important for semiconductors, where it is an important quantity for the process of chemical doping. Using band theory, the electron density, is number of electrons per unit volume in the conduction band. For holes, is the
For example, the mass of water might be written in subscripts as m H 2 O, m water, m aq, m w (if clear from context) etc., or simply as m(H 2 O). Another example could be the electronegativity of the fluorine -fluorine covalent bond , which might be written with subscripts χ F-F , χ FF or χ F-F etc., or brackets χ (F-F), χ (FF) etc.
For a water molecule (H 2 O), using both neutral counting and ionic counting result in a total of 8 electrons. This figure of the water molecule shows how the electrons are distributed with the covalent counting method. The red ones are the oxygen electrons, and the blue ones are electrons from the hydrogen atoms.
n A is the number density of A in the gas in units of m −3. n B is the number density of B in the gas in units of m −3 . E.g. for a gas mixture with gas A concentration 0.1 mol⋅L −1 and B concentration 0.2 mol⋅L −1 , the number of density of A is 0.1×6.02×10 23 ÷10 −3 = 6.02×10 25 m −3 , the number of density of B is 0.2×6. ...
Electronegativity, symbolized as χ, is the tendency for an atom of a given chemical element to attract shared electrons (or electron density) when forming a chemical bond. [1] An atom's electronegativity is affected by both its atomic number and the distance at which its valence electrons reside from the charged nucleus. The higher the ...
The charge density appears in the continuity equation for electric current, and also in Maxwell's Equations. It is the principal source term of the electromagnetic field; when the charge distribution moves, this corresponds to a current density. The charge density of molecules impacts chemical and separation processes.