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  2. Population inversion - Wikipedia

    en.wikipedia.org/wiki/Population_inversion

    When in thermal equilibrium, then, it is seen that the lower energy state is more populated than the higher energy state, and this is the normal state of the system. As T increases, the number of electrons in the high-energy state ( N 2 ) increases, but N 2 never exceeds N 1 for a system at thermal equilibrium; rather, at infinite temperature ...

  3. Ring flip - Wikipedia

    en.wikipedia.org/wiki/Ring_flip

    In organic chemistry, a ring flip (also known as a ring inversion or ring reversal) is the interconversion of cyclic conformers that have equivalent ring shapes (e.g., from a chair conformer to another chair conformer) that results in the exchange of nonequivalent substituent positions. [1]

  4. Pyramidal inversion - Wikipedia

    en.wikipedia.org/wiki/Pyramidal_inversion

    Pyramidal inversion in nitrogen and amines is known as nitrogen inversion. [8] It is a rapid oscillation of the nitrogen atom and substituents, the nitrogen "moving" through the plane formed by the substituents (although the substituents also move - in the other direction); [ 9 ] the molecule passing through a planar transition state . [ 10 ]

  5. Inversion - Wikipedia

    en.wikipedia.org/wiki/Inversion

    Nitrogen inversion, a chemical process in which a trigonal nitrogen-containing structure turns inside-out; Population inversion, in statistical mechanics, when a system exists in state with more members in an excited state than in lower-energy states; Pyramidal inversion, a chemical process in which a trigonal structure turns inside-out

  6. Degenerate energy levels - Wikipedia

    en.wikipedia.org/wiki/Degenerate_energy_levels

    The measurable values of the energy of a quantum system are given by the eigenvalues of the Hamiltonian operator, while its eigenstates give the possible energy states of the system. A value of energy is said to be degenerate if there exist at least two linearly independent energy states associated with it.

  7. Chiral inversion - Wikipedia

    en.wikipedia.org/wiki/Chiral_inversion

    Chiral inversion is the process of conversion of one enantiomer of a chiral molecule to its mirror-image version with no other change in the molecule. [1] [2] [3] [4]Chiral inversion happens depending on various factors (viz. biological-, solvent-, light-, temperature- induced, etc.) and the energy barrier energy barrier associated with the stereogenic element present in the chiral molecule. 2 ...

  8. Molecular symmetry - Wikipedia

    en.wikipedia.org/wiki/Molecular_symmetry

    An inversion center is a special case of having a rotation-reflection axis about an angle of 180° through the center. Examples are xenon tetrafluoride (a square planar molecule), where the inversion center is at the Xe atom, and benzene (C 6 H 6) where the inversion center is at the center of the ring.

  9. Walden inversion - Wikipedia

    en.wikipedia.org/wiki/Walden_inversion

    Walden inversion is the inversion of a stereogenic center in a chiral molecule in a chemical reaction. Since a molecule can form two enantiomers around a stereogenic center, the Walden inversion converts the configuration of the molecule from one enantiomeric form to the other.