Step 1: Understanding the Concept:
This question deals with the nature of bonding in metal carbonyls, characterized by a unique double-interaction known as Synergic Bonding.
Step 2: Key Formula or Approach:
Define the theoretical basis of the synergic mechanism: sigma donation from ligand to metal and pi back-donation from metal to ligand.
Step 3: Detailed Explanation:
1. Statement I: The carbon atom of the Carbon Monoxide ($CO$) ligand acts as a Lewis base. It donates its non-bonding lone pair of electrons into an empty d-orbital (or hybridized orbital) of the transition metal to form a dative $\sigma$ bond. (Statement I is True)
2. Statement II: Simultaneously, the transition metal, which now has increased electron density, acts as a Lewis base. It donates a pair of electrons from a filled, properly aligned d-orbital back into the vacant $\pi^{*}$ (antibonding) molecular orbital of the $CO$ ligand. This "back-donation" creates a $\pi$ bond. (Statement II is True)
This dual interaction creates a self-strengthening cycle (synergism) making the metal-carbon bond exceptionally strong.
Step 4: Final Answer:
Both statements accurately describe the synergic bonding mechanism.