Write down the number of 3d electrons in each of the following ions: , , , , , , , and . Indicate how would you expect the five 3d orbitals to be occupied for these hydrated ions (octahedral).
Number of 3d Electrons:
| Ion | 3d Configuration | Number of 3d Electrons |
|---|---|---|
| Ti²⁺ | 3d² | 2 |
| V²⁺ | 3d³ | 3 |
| Cr³⁺ | 3d³ | 3 |
| Mn²⁺ | 3d⁵ | 5 |
| Fe²⁺ | 3d⁶ | 6 |
| Fe³⁺ | 3d⁵ | 5 |
| Co²⁺ | 3d⁷ | 7 |
| Ni²⁺ | 3d⁸ | 8 |
| Cu²⁺ | 3d⁹ | 9 |
Occupancy of 3d Orbitals in Octahedral Hydrated Ions:
In octahedral complexes, the five d orbitals split into two sets: t₂g (lower energy, 3 orbitals) and eg (higher energy, 2 orbitals). For hydrated ions, water acts as a weak field ligand, resulting in high-spin configurations where electrons occupy orbitals singly before pairing.
| Ion | Configuration | Orbital Occupancy |
|---|---|---|
| Ti²⁺ | 3d² | t₂g² eg⁰ |
| V²⁺ | 3d³ | t₂g³ eg⁰ |
| Cr³⁺ | 3d³ | t₂g³ eg⁰ |
| Mn²⁺ | 3d⁵ | t₂g³ eg² |
| Fe²⁺ | 3d⁶ | t₂g⁴ eg² |
| Fe³⁺ | 3d⁵ | t₂g³ eg² |
| Co²⁺ | 3d⁷ | t₂g⁵ eg² |
| Ni²⁺ | 3d⁸ | t₂g⁶ eg² |
| Cu²⁺ | 3d⁹ | t₂g⁶ eg³ |
Explanation
The answer uses Table 4.1 to determine ground state electronic configurations of transition metals, then removes electrons from 4s before 3d to form ions. Table 4.7 and Table 4.8 confirm the 3d configurations for these ions. For octahedral occupancy, water being a weak field ligand means high-spin arrangements where electrons fill t₂g orbitals first (following Hund's rule) before occupying eg orbitals.
Solution Steps
Step 1: From Table 4.1, identify ground state configurations: Ti(3d²4s²), V(3d³4s²), Cr(3d⁵4s¹), Mn(3d⁵4s²), Fe(3d⁶4s²), Co(3d⁷4s²), Ni(3d⁸4s²), Cu(3d¹⁰4s¹)
Step 2: Remove electrons from 4s first, then 3d to form ions
Step 3: Verify configurations using Tables 4.7 and 4.8
Step 4: For octahedral hydrated ions, apply high-spin configuration (weak field ligand H₂O): electrons occupy t₂g singly first, then eg orbitals