Correct option is (b) \(d s p^{2}\) hybridised
To determine the hybridization of Cu2+ in the complex (Cu(NH3)4)2+ and confirm its square planar shape, we can follow these steps:
Step 1: Identify the Coordination Number
The coordination number of a metal complex is determined by the number of ligands attached to the central metal ion. In this case, there are four ammonia (NH3) ligands coordinated to the copper ion.
Hint: Count the number of ligands attached to the metal ion to find the coordination number.
Step 2: Determine the Geometry of the Complex
The problem states that the shape of the complex is square planar. Square planar geometry is typically associated with a coordination number of 4.
Hint: Recall that square planar geometry is common for d8 metal ions, particularly in complexes with a coordination number of 4.
Step 3: Identify the Type of Complex
Since the geometry is square planar, we can classify this complex as an inner orbital complex. Inner orbital complexes typically involve the use of d-orbitals from the inner shell of the metal ion.
Hint: Remember that inner orbital complexes often involve the hybridization of d-orbitals from the same shell as the valence electrons.
Step 4: Determine the Hybridization
For square planar complexes, the hybridization can be either dsp2 or d2sp3. However, since we are dealing with a d8 metal ion (Cu2+), the appropriate hybridization is dsp2.
Copper in its +2 oxidation state has the electronic configuration of (Ar)3d9.
When forming the complex, one of the 3d electrons is used for bonding, resulting in d8 configuration, which leads to dsp2 hybridization.
Hint: Use the electronic configuration of the metal ion to determine which orbitals are involved in hybridization.
Step 5: Conclusion
Thus, the hybridization of Cu2+ in the complex (Cu(NH3)4)2+ is dsp2.