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Which of the following have planar structure?
A. ${I_3}^ - $
B. $IC{l_3}$
C. $C{l_3}{O_6}$
D. $B{e_2}C{l_4}$

Answer
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Hint: The planar structure of a compound depends on the plane on which the bonds of the compound are present. If all the bonds should be present in one plane only. It does not depend on the presence of lone pair of electrons which may be present in the compound

Complete step by step answer:
A compound is said to be planar if all the bonds of the compounds lie in one plane. It depends on the hybridisation of the compound. That is if the compound has the $sp$ hybridisation then it will be planar. Usually the $s{p^2},s{p^3},s{p^3}d$ and so on are all non planar.
If we consider the first compound mentioned in the options that is, ${I_3}^ - $ . we first need to find the number of electrons in the valence shell. Since it is a halogen, we know that the outermost shell will have $7$ electrons. Therefore the electronic configuration can be demonstrated as follows
seo images

          $5{s^2}$ $5{p^5}$
Therefore, we can see that the orbitals that contain fully filled orbitals can be considered as lone pairs. Since three orbitals are fully filled the central iodine will have three lone pairs.
Now we have two more iodine ions bonded to the central atom therefore, in order to prevent maximum repulsion the geometry of the compound will be trigonal bipyramidal. This is shown below:
seo images

Therefore, we can see that the lone pair of electrons use the equatorial plane and the axial plane is occupied by the bond pairs. Therefore, the bond pairs are present in the same plane we can say ${I_3}^ - $ is planar.
The next option has iodine at the centre as well. Here the three chlorine atoms will combine with iodine. The iodine will have three bond pairs and two lone pairs and will therefore, have $s{p^3}d$ hybridisation. This will have the structure as shown below:
seo images

 Therefore, the chlorine atoms occupy two different planes. Therefore, it will not be planar.
Option c consists of $C{l_3}{O_6}$ therefore, the chlorine will be attached to two oxygen atoms. But this will also not contain all its atoms in one plane. Therefore, it is non planar.
$B{e_2}C{l_4}$ is a dimer of $BeC{l_2}$ . $BeC{l_2}$ is $sp$ hybridised and will therefore be linear and also planar in nature. But the dimer that is, $B{e_2}C{l_4}$ is $s{p^3}$ hybridised. Therefore, this structure is not planar now.
Therefore, we can conclude by saying that the molecule that is planar among these is option A that is ${I_3}^ - $ .

So, the correct answer is Option A.

Note: Lone pairs have no effect when we consider the plane of the molecule. That is, a molecule is said to be planar if all the bond pairs are present in the same plane.
A lone pair is formed when an orbital of the central atom is completely filled.