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  2. Crystal field theory - Wikipedia

    en.wikipedia.org/wiki/Crystal_field_theory

    If the energy required to pair two electrons is greater than Δ, the energy cost of placing an electron in an e g, high spin splitting occurs. The crystal field splitting energy for tetrahedral metal complexes (four ligands) is referred to as Δ tet, and is roughly equal to 4/9Δ oct (for the same metal and same ligands). Therefore, the energy ...

  3. Tanabe–Sugano diagram - Wikipedia

    en.wikipedia.org/wiki/Tanabe–Sugano_diagram

    The relative energy of the repulsion energy and splitting energy defines the high-spin and low-spin states. Considering both weak and strong ligand fields, a Tanabe–Sugano diagram shows the energy splitting of the spectral terms with the increase of the ligand field strength.

  4. Spectrochemical series - Wikipedia

    en.wikipedia.org/wiki/Spectrochemical_series

    A spectrochemical series is a list of ligands ordered by ligand "strength", and a list of metal ions based on oxidation number, group and element.For a metal ion, the ligands modify the difference in energy Δ between the d orbitals, called the ligand-field splitting parameter in ligand field theory, or the crystal-field splitting parameter in crystal field theory.

  5. Spin states (d electrons) - Wikipedia

    en.wikipedia.org/wiki/Spin_states_(d_electrons)

    Low-spin [Fe(NO 2) 6] 3− crystal field diagram. The Δ splitting of the d orbitals plays an important role in the electron spin state of a coordination complex. Three factors affect Δ: the period (row in periodic table) of the metal ion, the charge of the metal ion, and the field strength of the complex's ligands as described by the spectrochemical series.

  6. Octahedral molecular geometry - Wikipedia

    en.wikipedia.org/wiki/Octahedral_molecular_geometry

    The loss of degeneracy upon the formation of an octahedral complex from a free ion is called crystal field splitting or ligand field splitting. The energy gap is labeled Δ o, which varies according to the number and nature of the ligands. If the symmetry of the complex is lower than octahedral, the e g and t 2g levels can split further. For ...

  7. Magnetochemistry - Wikipedia

    en.wikipedia.org/wiki/Magnetochemistry

    Crystal field diagram for octahedral low-spin d 5 Crystal field diagram for octahedral high-spin d 5. According to crystal field theory, the d orbitals of a transition metal ion in an octahedal complex are split into two groups in a crystal field. If the splitting is large enough to overcome the energy needed to place electrons in the same ...

  8. Dresselhaus effect - Wikipedia

    en.wikipedia.org/wiki/Dresselhaus_effect

    The Dresselhaus effect is a phenomenon in solid-state physics in which spin–orbit interaction causes energy bands to split. It is usually present in crystal systems lacking inversion symmetry. The effect is named after Gene Dresselhaus, who discovered this splitting in 1955. [1]

  9. Zero-field splitting - Wikipedia

    en.wikipedia.org/wiki/Zero_field_splitting

    Zero-field splitting (ZFS) describes various interactions of the energy levels of a molecule or ion resulting from the presence of more than one unpaired electron. In quantum mechanics , an energy level is called degenerate if it corresponds to two or more different measurable states of a quantum system.