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# Tetrahedral vs. Square Planar Complexes

Learning Objectives

• Discuss the d-orbital degeneracy of square planar and tetrahedral metal complexes.

## Tetrahedral Geometry

Tetrahedral geometry is a bit harder to visualize than square planar geometry. Tetrahedral geometry is analogous to a pyramid, where each of corners of the pyramid corresponds to a ligand, and the central molecule is in the middle of the pyramid. This geometry also has a coordination number of 4 because it has 4 ligands bound to it. Finally, the bond angle between the ligands is 109.5o. An example of the tetrahedral molecule $$\ce{CH4}$$, or methane.

In a tetrahedral complex, $$Δ_t$$ is relatively small even with strong-field ligands as there are fewer ligands to bond with. It is rare for the $$Δ_t$$ of tetrahedral complexes to exceed the pairing energy. Usually, electrons will move up to the higher energy orbitals rather than pair. Because of this, most tetrahedral complexes are high spin.

## Square Planar Complexes

In square planar molecular geometry, a central atom is surrounded by constituent atoms, which form the corners of a square on the same plane. The geometry is prevalent for transition metal complexes with d8 configuration. This includes Rh(I), Ir(I), Pd(II), Pt(II), and Au(III). Notable examples include the anticancer drugs cisplatin ($$\ce{PtCl2(NH3)2}$$).

A square planar complex also has a coordination number of 4. The structure of the complex differs from tetrahedral because the ligands form a simple square on the x and y axes. Because of this, the crystal field splitting is also different (Figure $$\PageIndex{1}$$). Since there are no ligands along the z-axis in a square planar complex, the repulsion of electrons in the $$d_{xz}$$, $$d_{yz}$$, and the $$d_{z^2}$$ orbitals are considerably lower than that of the octahedral complex (the $$d_{z^2}$$ orbital is slightly higher in energy to the "doughnut" that lies on the x,y axis). The $$d_{x^2-y^2}$$ orbital has the most energy, followed by the $$d_{xy}$$ orbital, which is followed by the remaining orbtails (although $$d_{z^2}$$ has slightly more energy than the $$d_{xz}$$ and $$d_{yz}$$ orbital). This pattern of orbital splitting remains constant throughout all geometries. Whichever orbitals come in direct contact with the ligand fields will have higher energies than orbitals that slide past the ligand field and have more of indirect contact with the ligand fields. So when confused about which geometry leads to which splitting, think about the way the ligand fields interact with the electron orbitals of the central atom.

In square planar complexes $$Δ$$ will almost always be large (Figure $$\PageIndex{1}$$), even with a weak-field ligand. Electrons tend to be paired rather than unpaired because paring energy is usually much less than $$Δ$$. Therefore, square planar complexes are usually low spin.

## Summary

• In tetrahedral molecular geometry, a central atom is located at the center of four substituents, which form the corners of a tetrahedron.
• Tetrahedral geometry is common for complexes where the metal has d0 or d10electron configuration.
• The CFT diagram for tetrahedral complexes has dx2−y2 and dzorbitals equally low in energy because they are between the ligand axis and experience little repulsion.
• In square planar molecular geometry, a central atom is surrounded by constituent atoms, which form the corners of a square on the same plane.
• The square planar geometry is prevalent for transition metal complexes with dconfiguration.
• The CFT diagram for square planar complexes can be derived from octahedral complexes yet the dx2-y2 level is the most destabilized and is left unfilled.

## Contributors and Attributions

• Angad Oberoi (UCD), Justin Nuckles (UCD)