Question
Classify interhalogen compounds into types with one example each. Using VSEPR theory, predict the shapes of BrF₃, IF₅, and IF₇.
(JEE Advanced 2023 — this exact classification + shape prediction appeared as a multi-correct question)
Solution — Step by Step
Interhalogens form when two different halogens bond together. The general formula is XYₙ where X is the larger (less electronegative) halogen and Y is always the smaller, more electronegative one — almost always fluorine for the higher members.
The larger halogen sits at the centre because it can accommodate more bond pairs using its d-orbitals.
There are exactly four types based on the number of Y atoms:
| Type | Examples | Hybridisation of X |
|---|---|---|
| XY | ClF, BrF, BrCl, ICl, IBr | sp³ (like any diatomic) |
| XY₃ | ClF₃, BrF₃, ICl₃ | sp³d |
| XY₅ | ClF₅, BrF₅, IF₅ | sp³d² |
| XY₇ | IF₇ (only known example) | sp³d³ |
Note: XY₇ has only one known compound — IF₇. No other halogen pair can manage 7 bonds.
Br has 7 valence electrons. Three are used to form bonds with F. That leaves non-bonding electrons = 2 lone pairs.
Total electron pairs around Br = 3 (bond) + 2 (lone) = 5 → trigonal bipyramidal electron geometry.
Now, in a trigonal bipyramid, lone pairs prefer equatorial positions (less repulsion). Two lone pairs occupy two equatorial spots, and the three F atoms take the remaining positions. Shape of molecule = T-shaped.
I has 7 valence electrons. Five are used in bonds with F. Remaining: electrons = 1 lone pair.
Total electron pairs = 5 (bond) + 1 (lone) = 6 → octahedral electron geometry.
The lone pair occupies one position of the octahedron. The five F atoms sit in the remaining positions. Shape = Square pyramidal.
I uses all 7 valence electrons in bonding — no lone pairs. Total electron pairs = 7.
Seven pairs with no lone pair distortion → Pentagonal bipyramidal. This is the only common inorganic compound with this shape.
IF₇ is special for two reasons: it’s the only XY₇ interhalogen, and it’s one of the few pentagonal bipyramidal molecules you’ll encounter at JEE/NEET level. The others (like PF₇) don’t exist stably. IF₇ appears in JEE Advanced precisely because it’s unusual.
Why This Works
The central atom in interhalogens must always be the larger halogen because it has d-orbitals available for expanded octets. Fluorine has no d-orbitals and can never be the central atom — it always forms exactly one bond. This is why every XYₙ compound with n ≥ 3 uses fluorine as Y.
The shapes follow directly from VSEPR: count all electron pairs (bonding + lone), arrange them to minimise repulsion, then assign lone pairs to positions of least repulsion (equatorial in trigonal bipyramid, any position in octahedron since they’re equivalent — but lone pairs prefer the spot that maximises distance from other lone pairs).
For board exams, memorise the final shapes. For JEE, understand why — the lone pair placement logic is what gets tested in multi-correct and paragraph questions.
Alternative Method — Hybridisation Route
Instead of VSEPR, you can directly determine hybridisation and look up the shape:
For BrF₃:
where V = valence electrons of central atom, M = monovalent atoms, C = cationic charge, A = anionic charge.
For IF₅: Square pyramidal
For IF₇: Pentagonal bipyramidal
Both methods give the same answer. VSEPR is more fundamental; the formula is faster in exams.
Common Mistake
BrF₃ is NOT trigonal planar. A very common error: students see 3 fluorines and write trigonal planar (like BF₃). But BF₃ is sp² with no lone pairs. BrF₃ has two lone pairs — they push the fluorines into a T-shape, compressing the F-Br-F angles below 90°. If you write trigonal planar in JEE, you lose the mark even if you identified the hybridisation correctly.
Similarly, don’t write IF₅ as trigonal bipyramidal (that’s 5 pairs with no lone pair). IF₅ has one lone pair making it square pyramidal — the lone pair sits “on top” of the square base.
Summary of shapes:
| Compound | Electron Pairs | Lone Pairs | Shape |
|---|---|---|---|
| BrF₃ | 5 | 2 | T-shaped |
| IF₅ | 6 | 1 | Square pyramidal |
| IF₇ | 7 | 0 | Pentagonal bipyramidal |