Step 1: Understanding ionic radii trends.
- Anions have larger radii than their parent atoms due to electron-electron repulsions.
- More negative charge results in greater expansion of the electron cloud. Step 2: Analyzing given ions.
- \( C^{4-} \) has the largest radius because it has gained the most electrons.
- \( N^{3-} \) is smaller than \( C^{4-} \) but larger than \( O^{2-} \).
- \( O^{2-} \) is smaller than \( N^{3-} \) but larger than \( F^{-} \).
- \( F^{-} \) has the smallest radius since it has the least electron gain.
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