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The spectrochemical series orders ligands empirically by the splitting they produce in comparable complexes. Pi-donor ligands tend toward smaller splittings and pi-acceptor ligands toward larger ones. Metal, geometry and oxidation state still matter; a sigma-basicity scale is not an interchangeable substitute.
A low-spin complex has the smaller-spin occupancy favored when ligand-field splitting outweighs the cost of pairing electrons in the lower orbitals. An octahedral low-spin center has and total spin zero.
Crystal field theory models the effect of surrounding ligand charges or dipoles on metal atomic orbitals. Directional repulsion splits the levels. Unlike molecular orbital theory, the simplest model does not explicitly construct covalent metal–ligand bonds.
The Jahn-Teller effect is an instability of a nonlinear molecular arrangement with an orbitally degenerate electronic ground state toward a symmetry-lowering distortion. An octahedral high-spin ion has unequal occupation of its orbitals and often undergoes tetragonal elongation.
A high-spin complex retains more unpaired electrons when the energy required for pairing exceeds the relevant orbital splitting. An octahedral high-spin center has and .
The electron pairing energy represents the energetic penalty for putting electrons into already occupied orbitals rather than suitable separate orbitals. A simple comparison with octahedral splitting explains high-spin and low-spin alternatives.
Spin crossover interconverts electronic states with different total spin, often in response to temperature. For octahedral iron(II), and correspond to and . Removing electrons from metal–ligand antibonding orbitals shortens bonds in the low-spin state. Crystal packing and hydrogen bonds can affect transition temperatures.
The energetic cost assigned to pairing electrons in an orbital rather than placing them in distinct orbitals within a specified ligand-field model.
A model in which six donor orbitals of an octahedral complex form symmetry-adapted combinations. metal s, p and two d orbitals supply matching symmetry partners; the other three d orbitals remain nonbonding orbitals. The model neglects ligand pi donation, backbonding and departures from octahedral symmetry.
A plot of many-electron ligand-field term energies relative to the ground state against a normalized ligand-field strength. Axes commonly use and , with the ratio of other interelectronic parameters stipulated. A change of ground-state term can create a break in the plotted reference.
A parameter in a compact description of intra-atomic electron repulsion within a configuration. and control relative d-shell multiplet energies; is not the octahedral splitting or a rotational constant.
The equilibrium strength of association under specified conditions. For simple one-to-one ligand binding, a smaller dissociation constant corresponds to stronger affinity; a predicted bound pose does not itself determine this constant.
A Lewis acid and Lewis base whose direct neutralization is inhibited, allowing cooperative reaction with another molecule.
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