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  2. List of dimensionless quantities - Wikipedia

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

    This is a list of well-known dimensionless quantities illustrating their variety of forms and applications. The tables also include pure numbers, dimensionless ratios, or dimensionless physical constants; these topics are discussed in the article.

  3. Dimensionless quantity - Wikipedia

    en.wikipedia.org/wiki/Dimensionless_quantity

    In differential geometry, the use of dimensionless parameters is evident in geometric relationships and transformations. Physics relies on dimensionless numbers like the Reynolds number in fluid dynamics, [6] the fine-structure constant in quantum mechanics, [7] and the Lorentz factor in relativity. [8] In chemistry, state properties and ratios ...

  4. Time-variation of fundamental constants - Wikipedia

    en.wikipedia.org/wiki/Time-variation_of...

    For example, a "change" in the speed of light c would be meaningless if accompanied by a corresponding "change" in the elementary charge e so that the ratio e 2:c (the fine-structure constant) remained unchanged. [8] Natural units are systems of units entirely based in fundamental constants.

  5. Oscillator strength - Wikipedia

    en.wikipedia.org/wiki/Oscillator_strength

    In spectroscopy, oscillator strength is a dimensionless quantity that expresses the probability of absorption or emission of electromagnetic radiation in transitions between energy levels of an atom or molecule. [1] [2] For example, if an emissive state has a small oscillator strength, nonradiative decay will outpace radiative decay.

  6. Quantity - Wikipedia

    en.wikipedia.org/wiki/Quantity

    Physics relies on dimensionless numbers like the Reynolds number in fluid dynamics, [7] the fine-structure constant in quantum mechanics, [8] and the Lorentz factor in relativity. [9] In chemistry, state properties and ratios such as mole fractions concentration ratios are dimensionless. [10]

  7. Buckingham π theorem - Wikipedia

    en.wikipedia.org/wiki/Buckingham_π_theorem

    Although named for Edgar Buckingham, the π theorem was first proved by the French mathematician Joseph Bertrand in 1878. [1] Bertrand considered only special cases of problems from electrodynamics and heat conduction, but his article contains, in distinct terms, all the basic ideas of the modern proof of the theorem and clearly indicates the theorem's utility for modelling physical phenomena.

  8. List of physical quantities - Wikipedia

    en.wikipedia.org/wiki/List_of_physical_quantities

    L −2 M −1 T 4 I 2: scalar Catalytic activity concentration: Change in reaction rate due to presence of a catalyst per unit volume of the system kat⋅m −3: L −3 T −1 N: intensive Chemical potential: μ: Energy per unit change in amount of substance J/mol L 2 M T −2 N −1: intensive Dose equivalent: H: Received radiation adjusted ...

  9. Nondimensionalization - Wikipedia

    en.wikipedia.org/wiki/Nondimensionalization

    For example, if x is a quantity, then x c is the characteristic unit used to scale it. As an illustrative example, consider a first order differential equation with constant coefficients: + = (). In this equation the independent variable here is t, and the dependent variable is x.