In which hybridisation, resulting all orbitals are NOT equivalent-

Options

A. `sp^(3)`
B. `sp^(3)d`
C. `sp^(3)d^(2)`
D. `sp^(2)`

Explanation

To determine in which hybridization the resulting orbitals are not equivalent, we can analyze the characteristics of different types of hybridization. Here's a step-by-step solution:

### Step 1: Understand Hybridization
Hybridization is the mixing of atomic orbitals to form new hybrid orbitals that can form bonds with other atoms. The type of hybridization affects the geometry and bond angles in a molecule.

**Hint:** Recall the basic types of hybridization: sp, sp², sp³, sp³d, and sp³d².

### Step 2: Identify Equivalent vs. Non-Equivalent Orbitals
In hybridization, equivalent orbitals have the same energy, shape, and size. Non-equivalent orbitals differ in these aspects.

**Hint:** Think about how the geometry of the molecule might affect the equivalency of the orbitals.

### Step 3: Analyze Different Hybridizations
1. **sp Hybridization:** Forms two equivalent orbitals (linear geometry).
2. **sp² Hybridization:** Forms three equivalent orbitals (trigonal planar geometry).
3. **sp³ Hybridization:** Forms four equivalent orbitals (tetrahedral geometry).
4. **sp³d Hybridization:** Forms five orbitals, where three are equivalent (equatorial) and two are non-equivalent (axial).
5. **sp³d² Hybridization:** Forms six orbitals, where four are equivalent (equatorial) and two are non-equivalent (axial).

**Hint:** Focus on the hybridizations that involve five or more orbitals, as they are more likely to have non-equivalent orbitals.

### Step 4: Conclusion
The hybridization that results in non-equivalent orbitals is **sp³d**. In this case, the geometry is trigonal bipyramidal, where:
- Three orbitals are equivalent and lie in the equatorial plane (120° apart).
- Two orbitals are non-equivalent and lie in the axial positions (180° apart).

Thus, the answer is **sp³d hybridization**.

**Final Answer:** The hybridization in which resulting orbitals are not equivalent is **sp³d** (trigonal bipyramidal geometry).