Concept:
Hybridization describes the mixing of atomic orbitals to form equivalent hybrid orbitals.
In the ethyne molecule (\(\mathrm{C_2H_2}\)), each carbon atom forms a triple bond with another carbon atom and a single bond with hydrogen.
Step 1: Determine the bonding around carbon.
Each carbon forms:
• One \(\sigma\)-bond with hydrogen
• One \(\sigma\)-bond with the other carbon
• Two \(\pi\)-bonds between the carbon atoms
Step 2: Count the regions of electron density.
Each carbon has two regions of electron density (two \(\sigma\)-bonds).
Step 3: Identify the hybridization.
Two regions of electron density correspond to \(sp\) hybridization, giving a linear geometry with a bond angle of \(180^\circ\).