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Prentice's rule, named so after the optician Charles F. Prentice, is a formula used to determine the amount of induced prism in a lens: = where: P is the amount of prism correction (in prism dioptres) c is decentration (the distance between the pupil centre and the lens's optical centre, in millimetres)
According to the VSEPR theory of molecular geometry in chemistry, which is based on the general principle of maximizing the distances between points, a square antiprism is the favoured geometry when eight pairs of electrons surround a central atom.
In chemistry, the square antiprismatic molecular geometry describes the shape of compounds where eight atoms, groups of atoms, or ligands are arranged around a central atom, defining the vertices of a square antiprism.
Relativistic corrections (Dirac) to the energy levels of a hydrogen atom from Bohr's model. The fine structure correction predicts that the Lyman-alpha line (emitted in a transition from n = 2 to n = 1) must split into a doublet. The total effect can also be obtained by using the Dirac equation. In this case, the electron is treated as non ...
The resulting BET equation is θ = c p ( 1 − p / p o ) ( p o + p ( c − 1 ) ) {\displaystyle \theta ={\frac {cp}{(1-p/p_{o}){\bigl (}p_{o}+p(c-1){\bigr )}}}} where c is referred to as the BET C-constant, p o {\displaystyle p_{o}} is the vapor pressure of the adsorptive bulk liquid phase which would be at the temperature of the adsorbate and ...
Born–Oppenheimer approximation. In quantum chemistry and molecular physics, the Born–Oppenheimer ( BO) approximation is the best-known mathematical approximation in molecular dynamics. Specifically, it is the assumption that the wave functions of atomic nuclei and electrons in a molecule can be treated separately, based on the fact that the ...
Structure. A chemical equation (see an example below) consists of a list of reactants (the starting substances) on the left-hand side, an arrow symbol, and a list of products (substances formed in the chemical reaction) on the right-hand side. Each substance is specified by its chemical formula, optionally preceded by a number called ...
In chemistry, specific rotation ([α]) is a property of a chiral chemical compound. [1] : 244 It is defined as the change in orientation of monochromatic plane-polarized light , per unit distance–concentration product, as the light passes through a sample of a compound in solution.
We will start this derivation with the relativistic equation for energy in the electric potential W = m 0 c 2 ( 1 1 − v 2 c 2 − 1 ) − k Z e 2 r {\displaystyle W={m_{\mathrm {0} }c^{2}}\left({\frac {1}{\sqrt {1-{\frac {v^{2}}{c^{2}}}}}}-1\right)-k{\frac {Ze^{2}}{r}}}
The result for two conducting spheres in a solvent is the formula of Marcus G = ( 1 2 r 1 + 1 2 r 2 − 1 R ) ⋅ ( 1 ϵ opt − 1 ϵ s ) ⋅ ( Δ e ) 2 {\displaystyle G=\left({\frac {1}{2r_{1}}}+{\frac {1}{2r_{2}}}-{\frac {1}{R}}\right)\cdot \left({\frac {1}{\epsilon _{\text{opt}}}}-{\frac {1}{\epsilon _{\text{s}}}}\right)\cdot (\Delta e)^{2}}