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Chemical Bonding And Molecular Structure

Question
CBSEENCH11005786

Draw the molecular orbital energy diagram for oxygen molecule (O2) and show that:
(i) It has a double bond
(ii) It has paramagnetic character.

Solution
Electronic structure of oxygen atom is 1 straight s squared comma space 2 straight s squared comma space 2 straight p subscript straight x superscript 2 comma space 2 straight p subscript straight y superscript 1 comma space 2 straight p subscript straight z superscript 1 Leaving out the 4 electrons in the 1s orbitals of two oxygen atoms constituting the molecule (represented as KK), the molecular orbital energy diagram for remaining 12 electrons of oxygen as molecule is shown:

(i) Electronic configuration:
left square bracket KK thin space open parentheses straight sigma 2 straight s close parentheses squared space left parenthesis straight sigma asterisk times 2 straight s right parenthesis squared space left parenthesis straight sigma 2 straight p subscript straight z right parenthesis squared space left parenthesis straight pi 2 straight p subscript straight x right parenthesis squared space left parenthesis straight pi 2 straight p subscript straight y right parenthesis squared space left parenthesis straight pi asterisk times 2 straight p subscript straight x right parenthesis to the power of 1 space left parenthesis straight pi asterisk times 2 straight p subscript straight y right parenthesis to the power of 1 right square bracket
(ii) Bond order: Here Nb = 8;    Na = 4
Bond space order space equals space 1 half open square brackets straight N subscript straight b minus space straight N subscript straight a close square brackets space equals space 1 half left parenthesis 8 minus 4 right parenthesis space equals space 2
The two oxygen atoms in a molecule of oxygen are united through two covalent bonds (i.e.  a double bond).
(iii) Paramagnetic character : Since a molecule of oxygen has two unpaired electrons in the straight pi asterisk times 2 straight p subscript straight x space and space straight pi asterisk times 2 straight p subscript straight y orbitals, molecular oxygen should be paramagnetic.