Step 1: Understanding the Question:
We need the formula for the carbide formed by lanthanoid elements. Step 2: Detailed Explanation:
When lanthanoids (Ln) react with carbon at very high temperatures (about 2500 K), they form stable carbides.
The most common and characteristic formula for these dicarbides is \( \text{LnC}_2 \).
These compounds typically contain the \( \text{C}_2^{2-} \) (acetylide) ion. Step 3: Final Answer:
The general formula is \( \text{LnC}_2 \).