In a tetrahedral complex, the five d-orbitals split into two sets due to the crystal field created by the ligands.
The ligands approach the central metal ion between the axes. The dxy, dyz, and dxz orbitals (forming the t2 set) point between the axes, experiencing greater repulsion from the ligands, and thus have higher energy.
The dx2−y2 and dz2 orbitals (forming the e set) point along the axes, experiencing lesser repulsion, and thus have lower energy.
Therefore, the energy order is dxy=dyz=dxz>dx2−y2=dz2.
Evaluating the given statements:
A. dxy=dxz>dx2−y2 is true.
B. dxy=dyz>dz2 is true.
C. dx2−y2>dz2>dxz is false.
D. dx2−y2=dz2<dxz is true.
Hence, statements A, B, and D are true.
Answer: A, B and D only