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  2. Clar's rule - Wikipedia

    en.wikipedia.org/wiki/Clar's_rule

    Clar's rule has also been supported by experimental results about the distribution of π-electrons in polycyclic aromatic hydrocarbons, [7] valence bond calculations, [8] and nucleus-independent chemical shift studies. [9] Clar's rule is widely applied in the fields of chemistry and materials science.

  3. Method of image charges - Wikipedia

    en.wikipedia.org/wiki/Method_of_image_charges

    The green point is a charge q lying inside the sphere at a distance p from the origin, the red point is the image of that point, having charge −qR/p, lying outside the sphere at a distance of R 2 /p from the origin. The potential produced by the two charges is zero on the surface of the sphere.

  4. Dual resonance model - Wikipedia

    en.wikipedia.org/wiki/Dual_resonance_model

    It began with the Euler beta function model of Gabriele Veneziano in 1968 for a 4-particle amplitude which has the property that it is explicitly s–t crossing symmetric, exhibits duality between the description in terms of Regge poles or of resonances, and provides a closed-form solution to non-linear finite-energy sum rules relating s- and t ...

  5. Spin (physics) - Wikipedia

    en.wikipedia.org/wiki/Spin_(physics)

    Thomas' result convinced Pauli that electron spin was the correct interpretation of his two-valued degree of freedom, while he continued to insist that the classical rotating charge model is invalid. [34] [6] In 1927, Pauli formalized the theory of spin using the theory of quantum mechanics invented by Erwin Schrödinger and Werner Heisenberg.

  6. Rotating-wave approximation - Wikipedia

    en.wikipedia.org/wiki/Rotating-wave_approximation

    The rotating-wave approximation is an approximation used in atom optics and magnetic resonance. In this approximation, terms in a Hamiltonian that oscillate rapidly are neglected. This is a valid approximation when the applied electromagnetic radiation is near resonance with an atomic transition, and the intensity is low. [ 1 ]

  7. Arrow pushing - Wikipedia

    en.wikipedia.org/wiki/Arrow_pushing

    Arrow pushing or electron pushing is a technique used to describe the progression of organic chemistry reaction mechanisms. [1] It was first developed by Sir Robert Robinson.In using arrow pushing, "curved arrows" or "curly arrows" are drawn on the structural formulae of reactants in a chemical equation to show the reaction mechanism.

  8. Rabi problem - Wikipedia

    en.wikipedia.org/wiki/Rabi_problem

    If this (on-resonance) pulse is shone on a collection of atoms originally all in their ground state (w = −1) for a time = /, then after the pulse, the atoms will now all be in their excited state (w = +1) because of the (or 180°) rotation about the u axis.

  9. Electrocyclic reaction - Wikipedia

    en.wikipedia.org/wiki/Electrocyclic_reaction

    The first step involves a photochemically induced conrotatory ring opening of 7-dehydrocholesterol to form pre vitamin D3. A [1,7]-hydride shift then forms vitamin D 3 . Another example is in the proposed biosynthesis of aranotin, a naturally occurring oxepine, and its related compounds.