Concept:
Hybridisation is determined by the number of steric units (sigma bonds + lone pairs) around the central atom. Bromine (Br) is the central atom in both interhalogen compounds and belongs to Group 17, having 7 valence electrons.
(a) BrF₅ (Bromine Pentafluoride)
Counting electrons and steric number
Bromine uses 5 of its 7 valence electrons to form 5 sigma bonds with Fluorine atoms. This leaves 2 electrons, which form 1 lone pair.
Steric Number = 5 (bonds) + 1 (lone pair) = 6
Hybridisation: A steric number of 6 corresponds to sp³d² hybridisation.
Geometry/Shape: The geometry is octahedral, but due to the lone pair, the molecular shape is square pyramidal.
(b) BrF₃ (Bromine Trifluoride)
Counting electrons and steric number
Bromine uses 3 of its 7 valence electrons to form 3 sigma bonds with Fluorine atoms. This leaves 4 electrons, which form 2 lone pairs.
Steric Number = 3 (bonds) + 2 (lone pairs) = 5
Hybridisation: A steric number of 5 corresponds to sp³d hybridisation.
Geometry/Shape: The geometry is trigonal bipyramidal, but due to the two lone pairs occupying equatorial positions, the molecular shape is Bent T-shape.