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Question

The point group of \(\mathrm{CO_{3}^{2-}}\) is :

The correct answer is

D3h

The carbonate ion is trigonal planar: carbon is sp2 hybridised and, through resonance, all three C–O bonds are identical (bond order 4/3) with O–C–O angles of 120°.

Symmetry elements: a C3 principal axis through C perpendicular to the plane; three C2 axes in the plane, each along a C–O bond; a horizontal mirror plane σh (the molecular plane); three vertical planes σv, each containing the C3 axis and one C–O bond; and an S3 improper axis.

A principal Cn axis with n perpendicular C2 axes and a σh defines the Dnh group; here n = 3, so the point group is D3h, the same as BF3 and NO3–.

C3h lacks the perpendicular C2 axes, and C3v (e.g. NH3) lacks both the C2 axes and σh, so neither describes the planar ion.

Therefore the carbonate ion belongs to D3h.

Hence, D3h.

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