The BrF3 molecule has a T-shaped geometry and the bromine has 2 lone pairs in its valence shell. To which symmetry point group does BrF3 belong? [3 marks]
Question
The BrF3 molecule has a T-shaped geometry and the bromine has 2 lone pairs in its valence shell.
To which symmetry point group does BrF3 belong? [3 marks]
Solution
Identifying the Symmetry Point Group of BrF3
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Understanding the Molecular Geometry:
- BrF3 has a T-shaped molecular geometry. This geometrical arrangement is characterized by the presence of three bonded fluorine atoms and two lone pairs on the bromine atom that repel the bonded pairs and create the T shape.
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Analyzing the Symmetry Operations:
- Identity (E): The molecule remains unchanged upon rotation or reflection.
- C2 Axis: A two-fold rotation axis can be visualized perpendicular to the plane of the fluorine atoms.
- σv Planes: There are two vertical planes of symmetry that pass through the bromine atom and bisect the bond angles of the fluorine atoms.
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Symmetry Point Group Determination:
- Based on its symmetry elements, BrF3 exhibits the following:
- One C2 axis.
- Two σv planes.
- This combination of symmetry elements indicates that BrF3 belongs to the C2v point group.
- Based on its symmetry elements, BrF3 exhibits the following:
Final Answer
BrF3 belongs to the C2v symmetry point group.
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