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  2. Prism correction - Wikipedia

    en.wikipedia.org/wiki/Prism_correction

    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.

  3. Benesi–Hildebrand method - Wikipedia

    en.wikipedia.org/wiki/Benesi–Hildebrand_method

    This can be described by the following equation: [ HG ] = [ H ] 0 K a [ G ] 1 + K a [ G ] {\displaystyle [{\ce {HG}}]={\frac {[{\ce {H}}]_{0}K_{\rm {a}}[{\ce {G}}]}{1+K_{\rm {a}}[{\ce {G}}]}}} By substituting the binding isotherm equation into the previous equation, the equilibrium constant K a can now be correlated to the change in absorbance ...

  4. Scherrer equation - Wikipedia

    en.wikipedia.org/wiki/Scherrer_Equation

    The Scherrer equation, in X-ray diffraction and crystallography, is a formula that relates the size of sub-micrometre crystallites in a solid to the broadening of a peak in a diffraction pattern. It is often referred to, incorrectly, as a formula for particle size measurement or analysis.

  5. Fine structure - Wikipedia

    en.wikipedia.org/wiki/Fine_structure

    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 ...

  6. Perturbation theory (quantum mechanics) - Wikipedia

    en.wikipedia.org/wiki/Perturbation_theory...

    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 ...

  7. Jacobian matrix and determinant - Wikipedia

    en.wikipedia.org/wiki/Jacobian_matrix_and...

    The linear map h → J(x) ⋅ h is known as the derivative or the differential of f at x . When m = n, the Jacobian matrix is square, so its determinant is a well-defined function of x, known as the Jacobian determinant of f. It carries important information about the local behavior of f.

  8. Chemical equation - Wikipedia

    en.wikipedia.org/wiki/Chemical_equation

    A chemical equation is the symbolic representation of a chemical reaction in the form of symbols and chemical formulas.The reactant entities are given on the left-hand side and the product entities are on the right-hand side with a plus sign between the entities in both the reactants and the products, and an arrow that points towards the products to show the direction of the reaction.

  9. Volume correction factor - Wikipedia

    en.wikipedia.org/wiki/Volume_Correction_Factor

    Formula and usage The formula for Volume Correction Factor is commonly defined as: V C F = C T L = exp ⁡ { − α T Δ T [ 1 + 0.8 α T ( Δ T + δ T ) ] } {\displaystyle VCF=C_{TL}=\exp\{-\alpha _{T}\Delta T[1+0.8\alpha _{T}(\Delta T+\delta _{T})]\}}

  10. Bohr–Sommerfeld model - Wikipedia

    en.wikipedia.org/wiki/Bohr–Sommerfeld_model

    The Bohr–Sommerfeld model (also known as the Sommerfeld model or Bohr–Sommerfeld theory) was an extension of the Bohr model to allow elliptical orbits of electrons around an atomic nucleus. Bohr–Sommerfeld theory is named after Danish physicist Niels Bohr and German physicist Arnold Sommerfeld. Sommerfeld argued that if electronic orbits ...

  11. Decay correction - Wikipedia

    en.wikipedia.org/wiki/Decay_correction

    The formula for decay correcting is: = where is the original activity count at time zero, is the activity at time "t", "λ" is the decay constant, and "t" is the elapsed time.