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Question

Which of the following species is/are diamagnetic
(I) O+2 (II) O2
(I) O2 (II) O22

A
O2,O+2
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B
O2 and O22
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C
O22 only
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D
O+2,O22
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Solution

The correct option is C O22 only
O2
(σ1s)2(σ1s)2(σ2s)2(σ2s)2(σ2pz)2(π2px)2=(π2py)2(π2px)1=(π2py)1(σ2pz)0
O+2
(σ1s)2(σ1s)2(σ2s)2(σ2s)2(σ2pz)2(π2px)2=(π2py)2(π2px)1=(π2py)0(σ2pz)0
O2
(σ1s)2(σ1s)2(σ2s)2(σ2s)2(σ2pz)2(π2px)2=(π2py)2(π2px)2=(π2py)1(σ2pz)0
O22
(σ1s)2(σ1s)2(σ2s)2(σ2s)2(σ2pz)2(π2px)2=(π2py)2(π2px)2=(π2py)2(σ2pz)0

Unpaired eO2=2O+2=1O2=1O22=0
The species having no unpaired electron is diamagnetic.
So, only O22 is diamagnetic.

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