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Thus a prism of 1 Δ would produce 1 cm visible displacement at 100 cm, or 1 meter. This can be represented mathematically as: = where is the amount of prism correction in prism dioptres, and is the angle of deviation of the light.
The equation that they developed is as follows: K − 1 = A ε HG − [ H ] 0 − [ G ] 0 + C H C G A ε HG {\displaystyle K^{-1}={\frac {A}{\varepsilon _{\ce {HG}}}}-[{\ce {H}}]_{0}-[{\ce {G}}]_{0}+{\frac {C_{\ce {H}}C_{\ce {G}}}{A}}\varepsilon _{\ce {HG}}}
It is often referred to, incorrectly, as a formula for particle size measurement or analysis. It is named after Paul Scherrer. It is used in the determination of size of crystals in the form of powder. The Scherrer equation can be written as: = where:
In quantum mechanics, perturbation theory is a set of approximation schemes directly related to mathematical perturbation for describing a complicated quantum system in terms of a simpler one. The idea is to start with a simple system for which a mathematical solution is known, and add an additional "perturbing" Hamiltonian representing a weak ...
Using the same chemical equation again, write the corresponding matrix equation: s 1 CH 4 + s 2 O 2 s 3 CO 2 + s 4 H 2 O {\displaystyle {\ce {{\mathit {s}}_{1}{CH4}+{\mathit {s}}_{2}{O2}->{\mathit {s}}_{3}{CO2}+{\mathit {s}}_{4}{H2O}}}}
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}}
The Eyring equation (occasionally also known as Eyring–Polanyi equation) is an equation used in chemical kinetics to describe changes in the rate of a chemical reaction against temperature. It was developed almost simultaneously in 1935 by Henry Eyring, Meredith Gwynne Evans and Michael Polanyi.
Chemical formula A (mPa·s) B (K) C (K −1) D (K −2) Temp. range (K) Water: H 2 O 1.856·10 −11: 4209 0.04527 −3.376·10 −5: 273–643 Ethanol: C 2 H 6 O 0.00201 1614 0.00618 −1.132·10 −5: 168–516 Benzene: C 6 H 6: 100.69 148.9 −0.02544 2.222·10 −5: 279–561 Cyclohexane: C 6 H 12: 0.01230 1380 −1.55·10 −3: 1.157·10 ...
Esophoria is an eye condition involving inward deviation of the eye, usually due to extra-ocular muscle imbalance. It is a type of heterophoria. Cause. Causes include: Refractive errors; Divergence insufficiency; Convergence excess; this can be due to nerve, muscle, congenital or mechanical anomalies.
For momentum = ˙, = ˙ and their ratio = the equation of motion is (see Binet equation) d 2 u d φ 2 = − ( 1 − k 2 Z 2 e 4 c 2 p φ 2 ) u + m 0 k Z e 2 p φ 2 ( 1 + W m 0 c 2 ) = − ω 0 2 u + K {\displaystyle {\frac {d^{2}u}{d\varphi ^{2}}}=-\left(1-k^{2}{\frac {Z^{2}e^{4}}{c^{2}p_{\mathrm {\varphi } }^{2}}}\right)u+{\frac {m_{\mathrm {0 ...