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  2. Multiplicity (chemistry) - Wikipedia

    en.wikipedia.org/wiki/Multiplicity_(chemistry)

    The highest occupied orbital energy level of dioxygen is a pair of antibonding π* orbitals. In the ground state of dioxygen, this energy level is occupied by two electrons of the same spin, as shown in the molecular orbital diagram. The molecule, therefore, has two unpaired electrons and is in a triplet state.

  3. Möbius–Hückel concept - Wikipedia

    en.wikipedia.org/wiki/Möbius–Hückel_concept

    To determine the energy levels, the polygon corresponding to the cyclic annulene is desired is inscribed in the circle of radius 2β and centered at α (the energy of an isolated p orbital). The y-coordinate of the vertices of the polygon are the simple Hückel theory orbital energies. For systems with Hückel topology, the vertex is positioned ...

  4. Molecular orbital diagram - Wikipedia

    en.wikipedia.org/wiki/Molecular_orbital_diagram

    Molecular orbital diagrams are diagrams of molecular orbital (MO) energy levels, shown as short horizontal lines in the center, flanked by constituent atomic orbital (AO) energy levels for comparison, with the energy levels increasing from the bottom to the top. Lines, often dashed diagonal lines, connect MO levels with their constituent AO levels.

  5. Hückel method - Wikipedia

    en.wikipedia.org/wiki/Hückel_method

    The method predicts how many energy levels exist for a given molecule, which levels are degenerate and it expresses the molecular orbital energies in terms of two parameters, called α, the energy of an electron in a 2p orbital, and β, the interaction energy between two 2p orbitals (the extent to which an electron is stabilized by allowing it ...

  6. Azimuthal quantum number - Wikipedia

    en.wikipedia.org/wiki/Azimuthal_quantum_number

    A simplistic one-electron model results in energy levels depending on the principal number alone. In more complex atoms these energy levels split for all n > 1, placing states of higher ℓ above states of lower ℓ. For example, the energy of 2p is higher than of 2s, 3d occurs higher than 3p, which in turn is above 3s, etc.

  7. Molecular orbital - Wikipedia

    en.wikipedia.org/wiki/Molecular_orbital

    Complete acetylene (H–C≡C–H) molecular orbital set. The left column shows MO's which are occupied in the ground state, with the lowest-energy orbital at the top. The white and grey line visible in some MO's is the molecular axis passing through the nuclei. The orbital wave functions are positive in the red regions and negative in the blue.

  8. Koopmans' theorem - Wikipedia

    en.wikipedia.org/wiki/Koopmans'_theorem

    From Koopmans’ theorem the energy of the 1b 1 HOMO corresponds to the ionization energy to form the H 2 O + ion in its ground state (1a 1) 2 (2a 1) 2 (1b 2) 2 (3a 1) 2 (1b 1) 1. The energy of the second-highest MO 3a 1 refers to the ion in the excited state (1a 1) 2 (2a 1) 2 (1b 2) 2 (3a 1) 1 (1b 1) 2, and so on. In this case the order of the ...

  9. Energy level - Wikipedia

    en.wikipedia.org/wiki/Energy_level

    In a very general way, energy level differences between electronic states are larger, differences between vibrational levels are intermediate, and differences between rotational levels are smaller, although there can be overlap. Translational energy levels are practically continuous and can be calculated as kinetic energy using classical mechanics.