The IUPAC name of \( \text{K}_3[\text{Co}(\text{C}_2\text{O}_4)_3] \) is Potassium trioxalatocobaltate(III).
The oxalate anion ( \( \text{C}_2\text{O}_4^{2-} \) ) is a bidentate ligand, and the prefix "tri" indicates there are three oxalate ligands.
The complex anion is \( [\text{Co}(\text{C}_2\text{O}_4)_3]^{3-} \), and since the potassium ion has a +1 charge, there must be three potassium ions to balance the charge.
The oxidation state of cobalt is +3, indicated by the Roman numeral (III).
Let $ P_n = \alpha^n + \beta^n $, $ n \in \mathbb{N} $. If $ P_{10} = 123,\ P_9 = 76,\ P_8 = 47 $ and $ P_1 = 1 $, then the quadratic equation having roots $ \alpha $ and $ \frac{1}{\beta} $ is:
Nomenclature of Coordination Compounds is important in Coordination Chemistry because of the need to have an unambiguous method of describing formulas and writing systematic names, particularly when dealing with isomers.