The autoionization of bromine trifluoride is given by the reaction:
2BrF3⇌BrF2⊕+BrF4⊖
For the cation BrF2⊕:
The central atom Br has 7 valence electrons. Due to the positive charge, it has 7−1=6 electrons available.
It forms 2 single bonds with F atoms, leaving 4 electrons, which constitute 2 lone pairs.
Steric number = 2 (bond pairs) + 2 (lone pairs) = 4.
The hybridization is sp3. With 2 bond pairs and 2 lone pairs, the shape is bent (or V-shaped).
For the anion BrF4⊖:
The central atom Br has 7 valence electrons. Due to the negative charge, it has 7+1=8 electrons available.
It forms 4 single bonds with F atoms, leaving 4 electrons, which constitute 2 lone pairs.
Steric number = 4 (bond pairs) + 2 (lone pairs) = 6.
The hybridization is sp3d2. To minimize repulsion, the 2 lone pairs occupy opposite (trans) positions in the octahedral geometry, resulting in a square planar shape.
Thus, the shapes of the cation and anion are bent and square planar, respectively.
Answer: bent, square planar