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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}}}
For a given ion denoted A with valence n A, its flux j A —in other words, the number of ions crossing per time and per area of the membrane—is given by the formula j A = − D A ( d [ A ] d z − n A F R T E m L [ A ] ) {\displaystyle j_{\mathrm {A} }=-D_{\mathrm {A} }\left({\frac {d\left[\mathrm {A} \right]}{dz}}-{\frac {n_{\mathrm {A} }F ...
The Davies equation is an empirical extension of Debye–Hückel theory which can be used to calculate activity coefficients of electrolyte solutions at relatively high concentrations at 25 °C. The equation, originally published in 1938, was refined by fitting to experimental data.
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.
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}}}}
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 ...
The above equation is usually rearranged to yield the following equation for the ease of analysis: p / p 0 v [ 1 − ( p / p 0 ) ] = c − 1 v m c ( p p 0 ) + 1 v m c , ( 1 ) {\displaystyle {\frac {{p}/{p_{0}}}{v\left[1-\left({p}/{p_{0}}\right)\right]}}={\frac {c-1}{v_{\mathrm {m} }c}}\left({\frac {p}{p_{0}}}\right)+{\frac {1}{v_{m}c}},\qquad (1)}
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}}
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.