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Question: The hybridization states of central atoms of the ion \[I_3^ - ,ICl_4^ - \] and \[ICl_2^ - \]are resp...

The hybridization states of central atoms of the ion I3,ICl4I_3^ - ,ICl_4^ - and ICl2ICl_2^ - are respectively:
A) sp2,dsp2,sp3s{p^2},ds{p^2},s{p^3}
B) sp3d,sp3d2s{p^3}d,s{p^3}{d^2} and sp3ds{p^3}d
C) sp3d,sp3d,dsp2s{p^3}d,s{p^3}d,ds{p^2}
D) sp,sp,dsp2sp,sp,ds{p^2}

Explanation

Solution

As we know that the central atom which is iodine possess a total of seven electrons and an electronic configuration of [Kr]4d105s25p5[Kr]4{d^{10}}5{s^2}5{p^5} and thus we can say that iodine possess two paired electrons and one unpaired electron in its valence shell.

Complete solution:
As we know that iodine contains two paired electrons and one unpaired electron in its outermost valence shell.
Now, we know that I3I_3^ - is a linear anion where iodine contains a total of seven electrons and two monovalent atoms and during the combining of iodine with other two iodine atoms the central atom acquires a negative charge of 11. Thus the hybridization number becomes equivalent to 55 and therefore, the hybridization becomes sp3ds{p^3}d.
Similarly, the ICl4ICl_4^ - being a neutral compound and according to VSEPR theory, ICl4ICl_4^ - is a AB4E2A{B_4}{E_2} molecule where A is the central atom, B is the bond pair and V is the electron pair. It possesses a total of six electrons with four bonding pairs and two lone pairs of electrons. According to VSEPR theory, it will have sp3d2s{p^3}{d^2} hybridization with octahedral geometry.
Lastly we have ICl2ICl_2^ - and according to VSEPR theory ICl2ICl_2^ - is a AB2E3A{B_2}{E_3} molecule where A is the central atom, B is the bond pair and V is the electron pair. And we know that iodine possesses three lone pairs of electrons and two bond pairs. According to VSEPR theory it will have sp3ds{p^3}d hybridization with trigonal bipyramidal geometry.

Therefore,the correct option is (B).

Note: Always remember that the hybridization of any compound is given by mixing of its orbitals of two different atoms and iodine in this case possess a total of seven electrons which are combining with chloride in different manner to form different compounds possessing different hybridization states.