The correct shape and I-I-I bond angles respectively in $I_3^-$ ion are :
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For $sp^3d$ hybridization, lone pairs always prefer the equatorial positions where they have more space (120° angles) compared to axial positions (90°).
Step 1: Central Iodine has 7 valence electrons + 1 from charge = 8. Two electrons form bonds with other I atoms, leaving 3 lone pairs.
Step 2: Steric number = 2 (bond pairs) + 3 (lone pairs) = 5. The hybridization is $sp^3d$.
Step 3: According to VSEPR theory, to minimize repulsion, the 3 lone pairs occupy equatorial positions, and the 2 bond pairs occupy axial positions.
Step 4: The geometry is trigonal bipyramidal, but the molecular shape is linear with a bond angle of 180°.
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