What is meant by crystal field splitting energy? On the basis of crystal field theory, write the electronic configuration of `d^(4)` in terms of `t_(2g) and e_(g)` in an octahedral field when
(i)`Delta_(0)gtP`
(ii) `Delta_(0)ltP`

Explanation

### Step-by-Step Solution

**Step 1: Understanding Crystal Field Splitting Energy (Δ₀)**
Crystal Field Splitting Energy (Δ₀) refers to the energy difference between two sets of d-orbitals in a transition metal complex when ligands approach the metal ion. In an octahedral field, the five d-orbitals split into two energy levels: the lower energy triplet orbitals (t₂g) and the higher energy doublet orbitals (eₕ). The energy difference between these two sets of orbitals is known as Δ₀.

**Step 2: Electronic Configuration of d⁴ in an Octahedral Field**
For a d⁴ configuration, we have four electrons to place in the split d-orbitals (t₂g and eₕ). We will analyze two scenarios based on the relationship between Δ₀ and the pairing energy (P).

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