Answer:
linear or trigonal planar
Explanation:
The molecular formula AB[tex]_{2}[/tex] have the following criteria:
A= the central atom
B= directly bonded atoms.
In Molecular Geometry, Molecular Formula AB[tex]_{2}[/tex] can either be Linear or Trigonal Planar.
In linear geometry, they are formed as a result of Sp hybridised orbital. Sp hybridised orbital involves blending of one s-orbital and one p-orbital to produce a hybrid orbital directed along a straight line, therefore making it linear [tex](180^{0} )[/tex] e.g CO[tex]_{2}[/tex] , HCN etc.
In Trigonal Planar, they are formed as a result of Sp[tex]^{2}[/tex] hybridised orbital. Sp[tex]^{2}[/tex] hybridised orbital are formed by mixing of one s-orbital and two p-orbitals to produce orbitals which are coplanar and the lobes directed towards the corners of an equilateral triangle. (Trigonal Planar) e.g BF[tex]_{2}[/tex] , [tex]CO_{3} ^{-2}[/tex] , SO[tex]_{2}[/tex] etc.
The shape of the molecule with formula [tex]\rm AB_2[/tex] has been linear or trigonal planar.
The hybridization has been given as the combining of the valence shells with the formation of the hybridized shell with equal energy distribution.
The molecule has A as a central atom, and B bonded to the central atom. The molecular hybridization of the molecule will be sp hybridization that accounts for the linear shape of the molecule according to VSEPR theory.
[tex]\rm sp_2[/tex] hybridization with A having the lone pair, and the shape of the molecule will be trigonal planar.
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