Chapter 3: Problem 241
Which of the following has tetrahedral structure and the central atom is \(s p^{3}\) hybridized? (a) \(\mathrm{BF}_{4}^{-}\) \(\square\) (b) \(\mathrm{IF}_{4}^{-}\) (c) \(\mathrm{SiH}_{4}\) \(\square\) (d) \(\mathrm{PF}_{4}^{-}\)
Short Answer
Expert verified
The compounds with tetrahedral structure and sp3 hybridization are \( \mathrm{BF}_{4}^{-} \) and \( \mathrm{SiH}_{4} \). Out of the given options, \( \mathrm{SiH}_{4} \).
Step by step solution
01
Understanding Tetrahedral Structure and Hybridization
A tetrahedral structure indicates that the central atom forms four bonds, and the bond angles around the central atom are approximately 109.5°. To have a tetrahedral geometry, the central atom must use one s orbital and three p orbitals to form four equivalent sp3 hybrid orbitals. This condition is met by sp3 hybridization.
02
Option A: \( \mathrm{BF}_{4}^{-} \) Analysis
For \( \mathrm{BF}_{4}^{-} \), boron is the central atom. Boron forms four bonds with fluorine atoms. To accommodate these bonds, boron uses one s and three p orbitals to form sp3 hybrid orbitals. Hence, \( \mathrm{BF}_{4}^{-} \) has a tetrahedral structure.
03
Option B: \( \mathrm{IF}_{4}^{-} \) Analysis
\( \mathrm{IF}_{4}^{-} \) has iodine as the central atom, which forms four bonds and also has two lone pairs leading to an octahedral electron geometry. The molecular geometry shapes into a square planar, not tetrahedral, due to these lone pairs. Thus, it is not suitable.
04
Option C: \( \mathrm{SiH}_{4} \) Analysis
In \( \mathrm{SiH}_{4} \), silicon is the central atom with four hydrogen atoms attached. It forms four bonds and undergoes sp3 hybridization to create tetrahedral geometry. \( \mathrm{SiH}_{4} \) thus matches the requirement for tetrahedral geometry and sp3 hybridization.
05
Option D: \( \mathrm{PF}_{4}^{-} \) Analysis
\( \mathrm{PF}_{4}^{-} \) would suggest phosphorus is the central atom. Typically, phosphorus tends to form a trigonal bipyramidal geometry when bonded with five atoms or having lone pair interactions, thus making it unsuitable for a tetrahedral configuration.
06
Conclusion
Based on the analysis, \( \mathrm{BF}_{4}^{-} \) and \( \mathrm{SiH}_{4} \) have a tetrahedral structure and the central atoms are sp3 hybridized. According to the options provided, \( \mathrm{SiH}_{4} \) specifically fits the criteria for tetrahedral with sp3 hybridization.
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Key Concepts
These are the key concepts you need to understand to accurately answer the question.
sp3 Hybridization
Hybridization is a crucial concept in understanding the formation of molecular structures. When talking about
sp3 hybridization, it refers to the mixing of one
s
elementary atomic orbital with three
p
atomic orbitals. This results in four equivalent hybrid orbitals. These hybrid orbitals align themselves in a three-dimensional space to minimize repulsions, specifically forming a tetrahedral shape.
Key characteristics of sp3 hybridization include:
Key characteristics of sp3 hybridization include:
- Forms four equivalent sp3 hybrid orbitals.
- Results in a bond angle of approximately 109.5°.
- Common in molecules with a tetrahedral shape.
Molecular Geometry
Molecular geometry defines the 3D arrangement of atoms around the central atom in a molecule. For molecules with
sp3 hybridization, the molecular geometry is commonly tetrahedral. This means the atoms are arranged in such a way that they form the corners of a tetrahedron around the central atom.
Points to remember about tetrahedral geometry:
Points to remember about tetrahedral geometry:
- The central atom forms four bonds with surrounding atoms.
- The angles between these bonds are approximately 109.5°.
- No lone pairs affect the spatial arrangement of the atoms.
Bond Angles
Bond angles play a significant role in defining the shape and stability of a molecule. In a tetrahedral arrangement derived from
sp3 hybridization, bond angles are ideally 109.5°. This angle maximizes the distance between electron clouds, minimizing electron-pair repulsion.
Characteristics of bond angles in tetrahedral structures:
Characteristics of bond angles in tetrahedral structures:
- The angle of 109.5° is achieved due to equal distribution of electron pairs.
- Ensures maximum spatial arrangement by electrons around the central atom.
- Helps determine molecular polarity and reactivity.