Concept: IUPAC nomenclature for coordination compounds follows strict rules regarding ligand naming, alphabetical order, and metal oxidation state.
• Ligand Order: Ligands are named in alphabetical order. NH\textsubscript{3} is "ammine" and H\textsubscript{2}O is "aqua".
• Oxidation State: Calculated based on the charge of the counter ions and neutral ligands.
• Counter Ion: Named last, without numerical prefixes (like "tri").
Step 1: Calculate the oxidation state of Cobalt (Co).
Ammine (\(NH_3\)) and Aqua (\(H_2O\)) are neutral ligands (charge 0).
The three chloride ions (\(Cl_3\)) outside the bracket have a total charge of \(-3\).
To balance this, the coordination sphere must be \(+3\).
\[ x + 2(0) + 4(0) = +3 \implies x = +3 \]
So, Cobalt is in the (III) state.
Step 2: Construct the name.
1. Alphabetical ligands: Ammine comes before Aqua.
2. Count: Two ammines \(\rightarrow\) diamine; four aquas \(\rightarrow\) tetraaqua.
3. Metal: Since the complex is a cation, the name is simply cobalt.
4. Anion: chloride.
(Note: We never say "trichloride" for the counter ion).
Combined: Diaminetetraaquacobalt(III) chloride.