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  2. Bohr–Sommerfeld model - Wikipedia

    en.wikipedia.org/wiki/Bohr–Sommerfeld_model

    Orbitals of the Radium. (End plates to [1]) 5 electrons with the same principal and auxiliary quantum numbers, orbiting in sync. ([2] page 364) The Sommerfeld extensions of the 1913 solar system Bohr model of the hydrogen atom showing the addition of elliptical orbits to explain spectral fine structure.

  3. Head (vessel) - Wikipedia

    en.wikipedia.org/wiki/Head_(Vessel)

    This is a torispherical head also named Semi ellipsoidal head (According to DIN 28013). The radius of the dish is 80% of the diameter of the cylinder ( r 1 = 0.8 × D o {\displaystyle r_{1}=0.8\times Do} ).

  4. 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. [1]

  5. Ellipsoid - Wikipedia

    en.wikipedia.org/wiki/Ellipsoid

    Plane section of an ellipsoid (see example) Given: Ellipsoid ⁠ x 2 / a 2 ⁠ + ⁠ y 2 / b 2 ⁠ + ⁠ z 2 / c 2 ⁠ = 1 and the plane with equation n x x + n y y + n z z = d, which have an ellipse in common. Wanted: Three vectors f 0 (center) and f 1, f 2 (conjugate vectors), such that the ellipse can be represented by the parametric equation

  6. Weierstrass elliptic function - Wikipedia

    en.wikipedia.org/wiki/Weierstrass_elliptic_function

    [footnote 1] It should not be confused with the normal mathematical script letters P: 𝒫 and 𝓅. In computing, the letter ℘ is available as \wp in TeX. In Unicode the code point is U+2118 ℘ SCRIPT CAPITAL P (℘, ℘), with the more correct alias weierstrass elliptic function. [footnote 2] In HTML, it can be escaped as ℘.

  7. List of equations in classical mechanics - Wikipedia

    en.wikipedia.org/wiki/List_of_equations_in...

    M L T −1: Angular momentum about a position point r 0, L, J, S = Most of the time we can set r 0 = 0 if particles are orbiting about axes intersecting at a common point. kg m 2 s −1: M L 2 T −1: Moment of a force about a position point r 0, Torque. τ, M

  8. Boyle's law - Wikipedia

    en.wikipedia.org/wiki/Boyle's_law

    Here P 1 and V 1 represent the original pressure and volume, respectively, and P 2 and V 2 represent the second pressure and volume. Boyle's law, Charles's law, and Gay-Lussac's law form the combined gas law. The three gas laws in combination with Avogadro's law can be generalized by the ideal gas law.

  9. Volume element - Wikipedia

    en.wikipedia.org/wiki/Volume_element

    Consider the linear subspace of the n-dimensional Euclidean space R n that is spanned by a collection of linearly independent vectors , …,. To find the volume element of the subspace, it is useful to know the fact from linear algebra that the volume of the parallelepiped spanned by the is the square root of the determinant of the Gramian matrix of the : (), = ….