Step 1: Recall the stability trend of alkali metal carbonates.
Thermal stability of carbonates increases down the group. Step 2: Analyze lithium carbonate.
Lithium carbonate is unstable due to the small size and high polarizing power of \( \mathrm{Li^+} \). Step 3: Write the decomposition reaction.
\[
\mathrm{Li_2CO_3 \xrightarrow{\Delta} Li_2O + CO_2}
\] Step 4: Conclusion.
Only lithium carbonate decomposes on heating to release CO\(_2\).