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Composite surfaces (maps): Electrostatic potential map (electrophilic indicator) – The most commonly employed property map is the electrostatic potential map. This gives the potential at locations on a particular surface, most commonly a surface of electron density corresponding to overall molecular size. [71]
The electric potential and the magnetic vector potential together form a four-vector, so that the two kinds of potential are mixed under Lorentz transformations. Practically, the electric potential is a continuous function in all space, because a spatial derivative of a discontinuous electric potential yields an electric field of impossibly ...
In electromagnetism, Isopotential maps are a measure of electrostatic potential in space. The spatial derivatives of an electrostatic field indicate the contours of the electrostatic field, so isopotential maps show where another charged molecule might interact, using equipotential lines (isopotentials).
In this example, we employ the method of coefficients of potential to determine the capacitance on a two-conductor system. For a two-conductor system, the system of linear equations is ϕ 1 = p 11 Q 1 + p 12 Q 2 ϕ 2 = p 21 Q 1 + p 22 Q 2 . {\displaystyle {\begin{matrix}\phi _{1}=p_{11}Q_{1}+p_{12}Q_{2}\\\phi _{2}=p_{21}Q_{1}+p_{22}Q_{2}\end ...
The electrostatic potential energy U E stored in a system of two charges is equal to the electrostatic potential energy of a charge in the electrostatic potential generated by the other. That is to say, if charge q 1 generates an electrostatic potential V 1 , which is a function of position r , then U E = q 2 V 1 ( r 2 ) . {\displaystyle U ...
Therefore, the electrostatic field everywhere inside a conductive object is zero, and the electrostatic potential is constant. The electric field, , in units of Newtons per Coulomb or volts per meter, is a vector field that can be defined everywhere, except at the location of point charges (where it diverges to infinity). [8]
An isopotential map is a measure of electrostatic potential in space, often depicted in two dimensions with the electrostatic charges inducing that electric potential. The term equipotential line or isopotential line refers to a curve of constant electric potential. Whether crossing an equipotential line represents ascending or descending the ...
The electrostatic potential map (the property of electrostatic potential mapped upon the electron density) provides an indicator for charge distribution in a molecule. The local ionisation potential map (the property of local ionisation potential mapped upon the electron density) provides an indicator of electrophilicity.