Step 1: Understanding the Question:
The question asks us to look at the given coordination coordination structures and determine which complex possesses zero overall electrical charge inside or outside its primary coordination sphere.
Step 2: Detailed Explanation:
Coordination complexes are classified into categories based on the charge layout of their coordination spheres:
Anionic Complex: The coordination sphere carries a net negative charge, such as $[\text{AlF}_6]^{3-}$ in option (A) and $[\text{Fe(CN)}_6]^{4-}$ in option (D).
Cationic Complex: The coordination sphere carries a net positive charge, such as $[\text{Cu(NH}_3)_4]^{2+}$ in option (C).
Neutral Complex: The coordination sphere carries no net electrical charge and requires no external counter-ions to stabilize it.
Let's verify the net internal charge of $[\text{Co(NO}_2)_3(\text{NH}_3)_3]$:
Cobalt exists in a $+3$ oxidation state ($\text{Co}^{3+}$).
Nitro ligands are mono-anionic ($3 \times \text{NO}_2^- = -3$).
Ammine ligands are fully neutral ($3 \times \text{NH}_3 = 0$).
Combining these internal charges yields:
$$ \text{Net Charge} = (+3) + (-3) + (0) = 0 $$
Since the internal charges balance perfectly within the coordination square brackets, the complex is completely neutral.
Step 3: Final Answer:
The correct neutral complex option is (B).