Final answer:
The bromate ion has a trigonal pyramidal shape and does not have a C3v point group due to the presence of a lone pair of electrons on the central atom, which reduces its symmetry.
Step-by-step explanation:
The question is whether the bromate ion would have a C3v point group due to its trigonal pyramidal geometry. The bromate ion does contain a central bromine atom surrounded by three oxygen atoms in a trigonal pyramidal arrangement, which includes a single lone pair of electrons on the bromine.
This does indeed give the molecule a single C3 axis of rotation. However, it's important to note that the presence of a lone pair breaks the vertical symmetry plane that would be required for a molecule to have a C3v point group.
Instead, the bromate ion has a molecular geometry similar to that of a trigonal pyramid, which reduces its symmetry compared to a trigonal planar species like BCl3 which has no lone pair and belongs to the C3v point group.