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  2. Compositional data - Wikipedia

    en.wikipedia.org/wiki/Compositional_data

    The choice of denominator component is arbitrary, and could be any specified component. This transform is commonly used in chemistry with measurements such as pH. In addition, this is the transform most commonly used for multinomial logistic regression. The alr transform is not an isometry, meaning that distances on transformed values will not ...

  3. Multiplicity (statistical mechanics) - Wikipedia

    en.wikipedia.org/wiki/Multiplicity_(statistical...

    For example, in a very small system with N = 2 dipoles, there are three macrostates, corresponding to =,, Since the N ↑ = 0 {\displaystyle N_{\uparrow }=0} and N ↑ = 2 {\displaystyle N_{\uparrow }=2} macrostates require both dipoles to be either anti-aligned or aligned, respectively, the multiplicity of either of these states is 1.

  4. List of dimensionless quantities - Wikipedia

    en.wikipedia.org/wiki/List_of_dimensionless...

    chemistry (ratio of activation energy to thermal energy) [1] Atomic weight: M: chemistry (mass of one atom divided by the atomic mass constant, 1 Da) Bodenstein number: Bo or Bd = / = chemistry (residence-time distribution; similar to the axial mass transfer Peclet number) [2]

  5. Isothermal–isobaric ensemble - Wikipedia

    en.wikipedia.org/wiki/Isothermal–isobaric_ensemble

    The isothermal–isobaric ensemble (constant temperature and constant pressure ensemble) is a statistical mechanical ensemble that maintains constant temperature and constant pressure applied. It is also called the N p T {\displaystyle NpT} -ensemble, where the number of particles N {\displaystyle N\,} is also kept as a constant.

  6. Formula - Wikipedia

    en.wikipedia.org/wiki/Formula

    An example of a formula used in science is Boltzmann's entropy formula. In statistical thermodynamics , it is a probability equation relating the entropy S of an ideal gas to the quantity W , which is the number of microstates corresponding to a given macrostate :

  7. Master equation - Wikipedia

    en.wikipedia.org/wiki/Master_equation

    A master equation is a phenomenological set of first-order differential equations describing the time evolution of (usually) the probability of a system to occupy each one of a discrete set of states with regard to a continuous time variable t.

  8. Entropy (statistical thermodynamics) - Wikipedia

    en.wikipedia.org/wiki/Entropy_(statistical...

    The von Neumann entropy formula is an extension of the Gibbs entropy formula to the quantum mechanical case. It has been shown [ 1 ] that the Gibbs Entropy is equal to the classical "heat engine" entropy characterized by d S = δ Q T {\displaystyle dS={\frac {\delta Q}{T}}\!} , and the generalized Boltzmann distribution is a sufficient and ...

  9. Quantities, Units and Symbols in Physical Chemistry

    en.wikipedia.org/wiki/Quantities,_Units_and...

    Quantities, Units and Symbols in Physical Chemistry, also known as the Green Book, is a compilation of terms and symbols widely used in the field of physical chemistry. It also includes a table of physical constants , tables listing the properties of elementary particles , chemical elements , and nuclides , and information about conversion ...