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  2. Free-energy relationship - Wikipedia

    en.wikipedia.org/wiki/Free-energy_relationship

    IUPAC has suggested that this name should be replaced by linear Gibbs energy relation, but at present there is little sign of acceptance of this change. [1] The area of physical organic chemistry which deals with such relations is commonly referred to as 'linear free-energy relationships'.

  3. Yukawa–Tsuno equation - Wikipedia

    en.wikipedia.org/wiki/Yukawa–Tsuno_equation

    The Yukawa–Tsuno equation, first developed in 1959, [1] is a linear free-energy relationship in physical organic chemistry.It is a modified version of the Hammett equation that accounts for enhanced resonance effects in electrophilic reactions of para- and meta-substituted organic compounds.

  4. Taft equation - Wikipedia

    en.wikipedia.org/wiki/Taft_equation

    The Taft equation is a linear free energy relationship (LFER) used in physical organic chemistry in the study of reaction mechanisms and in the development of quantitative structure–activity relationships for organic compounds. It was developed by Robert W. Taft in 1952 [2] [3] [4] as a modification to the Hammett equation. [5]

  5. Hammett equation - Wikipedia

    en.wikipedia.org/wiki/Hammett_equation

    In organic chemistry, the Hammett equation describes a linear free-energy relationship relating reaction rates and equilibrium constants for many reactions involving benzoic acid derivatives with meta- and para-substituents to each other with just two parameters: a substituent constant and a reaction constant.

  6. Swain–Lupton equation - Wikipedia

    en.wikipedia.org/wiki/Swain–Lupton_equation

    In physical organic chemistry, the Swain–Lupton equation is a linear free energy relationship (LFER) that is used in the study of reaction mechanisms and in the development of quantitative structure activity relationships for organic compounds.

  7. Perturbation theory - Wikipedia

    en.wikipedia.org/wiki/Perturbation_theory

    Examples of exactly solvable problems that can be used as starting points include linear equations, including linear equations of motion (harmonic oscillator, linear wave equation), statistical or quantum-mechanical systems of non-interacting particles (or in general, Hamiltonians or free energies containing only terms quadratic in all degrees ...

  8. Linear biochemical pathway - Wikipedia

    en.wikipedia.org/wiki/Linear_biochemical_pathway

    Linear pathways follow a step-by-step sequence, where each enzymatic reaction results in the transformation of a substrate into an intermediate product. This intermediate is processed by subsequent enzymes until the final product is synthesized. A linear chain of four enzyme-catalyzed steps. A linear pathway can be studied in various ways.

  9. Virial expansion - Wikipedia

    en.wikipedia.org/wiki/Virial_expansion

    The three-term virial equation or a cubic virial equation of state = + + has the simplicity of the Van der Waals equation of state without its singularity at v = b. Theoretically, the second virial coefficient represents bimolecular attraction forces, and the third virial term represents the repulsive forces among three molecules in close contact.