SATHEE: Chemical Bonding and Molecular Structure

Chemical Bonding and Molecular Structure - Result Question 108

####111. Which of the following has the minimum bond length?

(a) $O_{2}^{+}$

(b) $O_{2}^{-}$

(d) $O_{2}$

[2011]

Show Answer

Solution:

(a) $O_{2} (16) : K K (σ 2 s)^{2} (σ * 2 s)^{2} (σ 2 p_{z})^{2} (π 2 p_{x})^{2}$

$(\pi 2 p_y)^{2},(\pi^{} _2 p_y)^{1}=(\pi^{} _2 p_x)^{1}$, B.O.: 2

$O_{2}^{+}$ (15): Remove one electron from $π^{*} 2 p_{y}$ from

$O_{2}$ , B.O.: 2.5

$O_{2}^{-} (17) : K K (σ 2 s)^{2} (σ * 2 s)^{2} (σ 2 p_{z})^{2} (π 2 p_{x})^{2}$

$(π 2 p_{y})^{2}, (π * 2 p_{x})^{2} (π * 2 p_{y})^{1}$ , B.O.: 1.5

$O_{2}^{2 -} (18) : K K (σ 2 s)^{2} (σ * 2 s)^{2} (σ 2 p_{z})^{2} (π 2 p_{x})^{2}$ $(π 2 p_{y})^{2}, (π * 2 p_{x})^{2} (π * 2 p_{y})^{2}$

Since, the bond length decreases as the bond order increases, hence, $O_{2}^{+}$ have least bond length.

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Chemical Bonding and Molecular Structure - Result Question 108

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