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  2. Energy level - Wikipedia

    en.wikipedia.org/wiki/Energy_level

    The energy level of the bonding orbitals is lower, and the energy level of the antibonding orbitals is higher. For the bond in the molecule to be stable, the covalent bonding electrons occupy the lower energy bonding orbital, which may be signified by such symbols as σ or π depending on the situation.

  3. Zeeman effect - Wikipedia

    en.wikipedia.org/wiki/Zeeman_effect

    The Paschen–Back effect is the splitting of atomic energy levels in the presence of a strong magnetic field. This occurs when an external magnetic field is sufficiently strong to disrupt the coupling between orbital and spin angular momenta. This effect is the strong-field limit of the Zeeman effect.

  4. Energy level splitting - Wikipedia

    en.wikipedia.org/wiki/Energy_level_splitting

    In quantum physics, energy level splitting or a split in an energy level of a quantum system occurs when a perturbation changes the system. The perturbation changes the corresponding Hamiltonian and the outcome is change in eigenvalues; several distinct energy levels emerge in place of the former degenerate (multi- state) level.

  5. Nuclear shell model - Wikipedia

    en.wikipedia.org/wiki/Nuclear_shell_model

    In nuclear physics, atomic physics, and nuclear chemistry, the nuclear shell model utilizes the Pauli exclusion principle to model the structure of atomic nuclei in terms of energy levels. [ 1 ] The first shell model was proposed by Dmitri Ivanenko (together with E. Gapon) in 1932. The model was developed in 1949 following independent work by ...

  6. Hyperfine structure - Wikipedia

    en.wikipedia.org/wiki/Hyperfine_structure

    In atomic physics, hyperfine structure is defined by small shifts in otherwise degenerate electronic energy levels and the resulting splittings in those electronic energy levels of atoms, molecules, and ions, due to electromagnetic multipole interaction between the nucleus and electron clouds. In atoms, hyperfine structure arises from the ...

  7. Degenerate energy levels - Wikipedia

    en.wikipedia.org/wiki/Degenerate_energy_levels

    Degenerate energy levels. In quantum mechanics, an energy level is degenerate if it corresponds to two or more different measurable states of a quantum system. Conversely, two or more different states of a quantum mechanical system are said to be degenerate if they give the same value of energy upon measurement.

  8. Vis-viva equation - Wikipedia

    en.wikipedia.org/wiki/Vis-viva_equation

    v. t. e. In astrodynamics, the vis-viva equation, also referred to as orbital-energy-invariance law or Burgas formula[1][better source needed], is one of the equations that model the motion of orbiting bodies. It is the direct result of the principle of conservation of mechanical energy which applies when the only force acting on an object is ...

  9. Principal quantum number - Wikipedia

    en.wikipedia.org/wiki/Principal_quantum_number

    The energy level of each orbital increases as its distance from the nucleus increases. The sets of orbitals with the same n value are often referred to as an electron shell . The minimum energy exchanged during any wave–matter interaction is the product of the wave frequency multiplied by the Planck constant .