Relative Structural Strengths:
$$\begin{aligned} \text{Negative Metal } [\text{V}(\text{CO})_6]^- &\implies \text{Maximum Back-Donation} \implies \text{Weakest C-O bond / Longest C-O bond length} \\ \text{Positive Metal } [\text{Mn}(\text{CO})_6]^+ &\implies \text{Minimum Back-Donation} \implies \text{Strongest C-O bond / Shortest C-O bond length} \end{aligned}$$
Concept: The extent of metal-to-ligand electron feedback is directly determined by the net ionic charge on the central metal, altering predictable ligand stretching frequencies during analysis.
Notation: Greater formal negative charge on a metal center translates to stronger $$\text{M-C}$$ bonds and weaker, longer internal $$\text{C-O}$$ linkages.