Which among the following molecules belong to point group C4v ? (a) [B...
Identification of Point Group C4v Molecules
Point group C4v belongs to the tetragonal symmetry group and has the following symmetry operations: identity, C4 rotation, C2 rotations along the x and y axes, σv reflection planes parallel to the x and y axes, and σd diagonal reflection planes. The following molecules belong to point group C4v:
XeF4
Xenon tetrafluoride (XeF4) belongs to point group C4v because it has four identical fluorine atoms arranged symmetrically around the central xenon atom. This arrangement results in a square planar molecular geometry with four C2 rotation axes and two σv reflection planes.
XeOF4
Xenon oxytetrafluoride (XeOF4) also belongs to point group C4v because it has the same square planar molecular geometry as XeF4, with the addition of an oxygen atom replacing one of the fluorine atoms. This molecule also has four C2 rotation axes and two σv reflection planes.
[PtCl4]2-
Tetrachloroplatinate(II) ion ([PtCl4]2-) belongs to point group C4v because it has a square planar molecular geometry with four identical chlorine atoms arranged symmetrically around the central platinum atom. This arrangement results in four C2 rotation axes and two σv reflection planes.
[BF4]Na
Tetrafluoroborate ion ([BF4]−) complexed with sodium cation (Na+) does not belong to point group C4v because it has a tetrahedral molecular geometry with four identical fluorine atoms and a boron atom arranged symmetrically around the central ion. This arrangement results in four C3 rotation axes and three σv reflection planes, placing it in the Td symmetry group.
Conclusion
In conclusion, XeF4, XeOF4, and [PtCl4]2- all belong to point group C4v due to their square planar molecular geometry and symmetric arrangement of atoms around the central atom. [BF4]Na does not belong to point group C4v due to its tetrahedral molecular geometry.