The Magic of Steric Numbers
When it comes to predicting the shape and hybridisation of molecules, the Steric Number is your best friend. It is a simple yet incredibly powerful concept. The steric number (H) is calculated by adding the number of σ (sigma) bonds formed by the central atom to the number of lone pairs residing on it.
H=Number of σ bonds+Number of lone pairs
Let's apply this master formula to the four species given in our problem and decode their hybridisation states one by one.
Analyzing Sulfur Tetrafluoride (SF4)
Our first candidate is SF4. The central atom is Sulfur, which belongs to Group 16 of the periodic table. This means it has 6 valence electrons.
In SF4, Sulfur forms 4 single bonds with 4 Fluorine atoms. Each single bond is a σ bond, so we have 4 σ bonds. These 4 bonds consume 4 of Sulfur's valence electrons.
We are left with 6−4=2 electrons. These 2 electrons pair up to form exactly 1 lone pair.
Now, let's calculate the steric number:
H=4 (bond pairs)+1 (lone pair)=5
A steric number of 5 corresponds to sp3d hybridisation. While the base electron geometry is trigonal bipyramidal, the presence of one lone pair pushes the bonded atoms into a see-saw shape. Thus, (A) matches with (iii).
Decoding Iodine Pentafluoride (IF5)
Next up is IF5. The central atom is Iodine, a halogen from Group 17, meaning it boasts 7 valence electrons.
Iodine forms 5 single bonds with 5 Fluorine atoms, giving us 5 σ bonds. This uses up 5 valence electrons.
Subtracting these from the total, we have 7−5=2 electrons remaining, which constitutes 1 lone pair.
Calculating the steric number:
H=5 (bond pairs)+1 (lone pair)=6
A steric number of 6 dictates an sp3d2 hybridisation. The base geometry is octahedral, but with one lone pair, the molecular shape becomes square pyramidal. Therefore, (B) matches with (i).
The Linear Nitronium Ion (NO2+)
Now, let's look at a cation: NO2+. The central atom is Nitrogen. Normally, Nitrogen (Group 15) has 5 valence electrons. However, the positive charge indicates the loss of one electron. So, Nitrogen here has 5−1=4 valence electrons.
Nitrogen forms two double bonds with the two Oxygen atoms. A crucial rule in hybridisation is that a double bond counts as only one σ bond (the other is a π bond). So, we have 2 σ bonds.
These two double bonds require all 4 of Nitrogen's valence electrons (2 for each Oxygen). This leaves 0 lone pairs.
Calculating the steric number:
H=2 (bond pairs)+0 (lone pairs)=2
A steric number of 2 corresponds to sp hybridisation. This results in a perfectly linear geometry. Hence, (C) matches with (v).
The Tetrahedral Ammonium Ion (NH4+)
Finally, we examine the ammonium ion, NH4+. Again, the central Nitrogen atom starts with 5 valence electrons, but the positive charge reduces this to 4 valence electrons.
Nitrogen forms 4 single bonds with 4 Hydrogen atoms, giving us 4 σ bonds. This consumes all 4 valence electrons, leaving 0 lone pairs.
Calculating the steric number:
H=4 (bond pairs)+0 (lone pairs)=4
A steric number of 4 means the hybridisation is sp3. With no lone pairs to distort the shape, the molecule adopts a perfect tetrahedral geometry. Thus, (D) matches with (iv).
Final Conclusion
By systematically applying the steric number formula, we have successfully determined the hybridisation for all four species:
- SF4→sp3d
- IF5→sp3d2
- NO2+→sp
- NH4+→sp3
This perfectly aligns with the sequence (A)-(iii), (B)-(i), (C)-(v), (D)-(iv), making option (c) the correct answer.