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Solution :
A pentagonal bipyramidal is a bond structure where the bond angle that surrounds an atom is not identical. Different bond angles are different. It has one central atom having seven ligands at the corners of the pentagonal bipyramidal.
a). The shape of the molecule that have 7 bonding domains is called the pentagonal bipyramidal. For example take the case of [tex]$IF_7$[/tex].
The structure of the molecule is attached below.
b). The bond angles that can be possible between all the adjacent atoms are 72 degrees and 90 degrees.
c). The lone pair is represented by E and the 6 bonding domains, the geometry is the pentagonal pyramidal, that is in the case of [tex]$\text{XeOF}^-$[/tex].
d). With two lone pairs, which is represented by E and as many as 5 bonding domains, the geometry is described as pentagonal planar. For example, [tex]$\text{XeF}^-_5$[/tex]
A pentagonal bi-pyramidal is molecular geometry in which a central atom is surrounded by 7 ligands.
(a) [tex]\bold{IF_7}[/tex] form pentagonal bi-pyramidal geometry.
(b) the bond angles possible between adjacent atoms are [tex]\bold{90^o and 72^o}[/tex].
(c) The molecular geometry of a molecule with 6 bonding domains and a single lone pair is pentagonal pyramidal.
(d) The molecular geometry of a molecule with 5 bonding domains and two lone pair is pentagonal planner.
pentagonal bi-pyramidal:
It is a type of molecular geometry where one central atom is surrounded by 7 ligands. This type of shape is commonly seen in hepta-coordinate transition metal complexes.
For example- [tex]\bold{IF_7}[/tex]
The structure of [tex]\bold{IF_7}[/tex] is in attachment.
Therefore we can conclude that the in [tex]\bold{IF_7}[/tex] has pentagonal bi-pyramidal geometry .
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