In the trigonal prismatic crystal field, the d-orbital with the highes...
Trigonal Prismatic Crystal Field:
Trigonal prismatic crystal field is a type of crystal field theory in which six ligands are arranged around the central metal ion in a trigonal prismatic shape.
d-orbitals in Trigonal Prismatic Crystal Field:
In trigonal prismatic crystal field, the d-orbitals of the central metal ion split into two sets of three degenerate orbitals. The first set is composed of dxy, dyz, and dxz orbitals, while the second set is composed of dz2 and dx2-y2 orbitals.
The Highest Energy d-orbital:
In trigonal prismatic crystal field, the d-orbital with the highest energy is the dyz orbital.
Explanation:
In trigonal prismatic crystal field, the dyz orbital is located in between the ligands, which results in a repulsive interaction with the ligands. This repulsion causes the energy of the dyz orbital to increase, making it the highest energy d-orbital in the system.
On the other hand, the dxy and dxz orbitals are located in the plane of the ligands, resulting in less repulsion and lower energy. The dz2 and dx2-y2 orbitals are located along the axis of the ligands, resulting in even less repulsion and lower energy.
Therefore, in trigonal prismatic crystal field, the dyz orbital has the highest energy among all the d-orbitals.