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Chemical Bonding And Molecular Structure

Question
CBSEENCH11005780

Why the bond orders of He2+ and H2 are identical?

Solution

Molecular ion                    Molecular orbital configuration
space He subscript 2 superscript plus                                       open parentheses straight sigma subscript 1 straight s end subscript close parentheses squared space left parenthesis straight sigma subscript 1 straight s end subscript right parenthesis to the power of 1
He subscript 2 superscript minus                                         left parenthesis straight sigma subscript 1 straight s end subscript right parenthesis squared space left parenthesis straight sigma subscript 1 straight s end subscript right parenthesis to the power of 1
Since both He2+ and H2 have equal number of bonding (Nb) and antibonding (Na) electrons because of identical molecular orbital configuration, their bond order is given by   equals 1 half open square brackets straight N subscript straight b space minus space straight N subscript straight a close square brackets
equals space 1 half open square brackets 2 minus 1 close square brackets
equals space 1 half space are space identical.