(a) By using Hund’s rule derive the electronic configuration of `Ce^(+3)` ions and also calculate its magnitude moment.

Explanation

To derive the electronic configuration of the `Ce^(+3)` ion and calculate its magnetic moment, we will follow these steps:

### Step 1: Determine the electronic configuration of neutral Cerium (Ce)
Cerium (Ce) has an atomic number of 58. The electronic configuration of Cerium can be derived by filling the orbitals according to the Aufbau principle, Hund's rule, and the Pauli exclusion principle. The configuration is as follows:

- The first 54 electrons fill up to Xenon (Xe):
- 1s² 2s² 2p⁶ 3s² 3p⁶ 4s² 3d¹⁰ 4p⁶
- The remaining 4 electrons are filled into the 4f and 5d orbitals:
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