Step 1: Understanding the Question:
We need to determine the molecular shape of each given species using the Valence Shell Electron Pair Repulsion (VSEPR) theory to find which one adopts a see-saw geometry.
Step 2: Key Formula or Approach:
First, calculate the steric number for the central atom:
\(\text{Steric Number (SN)} = \frac{1}{2} (\text{Valence } e^- \text{ on central atom} + \text{Number of monovalent atoms} - \text{Cation charge} + \text{Anion charge})\).
Based on the SN and the number of lone pairs, determine the geometry and shape.
Step 3: Detailed Explanation:
Let's evaluate each option:
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(A) \(\text{SF}_4\): Sulfur (S) has 6 valence electrons. It forms 4 single bonds with F atoms.
\(\text{SN} = \frac{1}{2}(6 + 4) = 5\).
There are 4 bond pairs and \(5 - 4 = 1\) lone pair.
The electron geometry is trigonal bipyramidal. Placing the lone pair in an equatorial position to minimize repulsion results in a
see-saw shape.
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(B) \(\text{XeF}_4\): Xenon (Xe) has 8 valence electrons. It forms 4 single bonds with F atoms.
\(\text{SN} = \frac{1}{2}(8 + 4) = 6\).
There are 4 bond pairs and \(6 - 4 = 2\) lone pairs.
The electron geometry is octahedral. The two lone pairs occupy opposite positions, resulting in a
square planar shape.
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(C) \(\text{CCl}_4\): Carbon (C) has 4 valence electrons. It forms 4 single bonds with Cl atoms.
\(\text{SN} = \frac{1}{2}(4 + 4) = 4\).
There are 4 bond pairs and 0 lone pairs.
The shape is strictly
tetrahedral.
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(D) \(\text{BF}_4^-\): Boron (B) has 3 valence electrons. There are 4 monovalent F atoms and a charge of \(-1\).
\(\text{SN} = \frac{1}{2}(3 + 4 + 1) = 4\).
There are 4 bond pairs and 0 lone pairs.
The shape is
tetrahedral.
Thus, only \(\text{SF}_4\) possesses a see-saw shape.
Step 4: Final Answer:
The correct choice is (A).