General Science • ChemistryHard
According to crystal field theory, what is the spatial splitting pattern and orbital energy distribution for the five degenerate d-orbitals of a transition metal ion placed in an octahedral ligand field?
A. The d-orbitals split into a lower energy t2g set of three orbitals and a higher energy eg set of two orbitals✓ Correct Answer
B. The d-orbitals split into a lower energy eg set of two orbitals and a higher energy t2g set of three orbitals
C. The d-orbitals split into three distinct energy sublevels comprising two, two, and one orbital configurations
D. The d-orbitals remain completely degenerate without any splitting because octahedral symmetry preserves spherical harmonics
💡 Solution & Explanation
In an octahedral coordination environment, approaching negative ligand point charges raise the energy of d-orbitals pointing directly along the axes more than those lying between the axes, causing the d-subshell to split into a lower triad of t2g orbitals and a higher doublet of eg orbitals. Tetrahedral fields exhibit the exact reverse splitting order with eg lower and t2g higher. Crystal field splitting energy is denoted by delta-o for octahedral geometries. Degeneracy is lifted whenever directional electrostatic fields interact with d-electron lobes.
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