Q.19 According to the molecular orbital theory, bond order for H2+ species is Options: (A) 0.5 (B) 1.0 (C) 1.5 (D) 2.0

Q.19

According to the molecular orbital theory,
bond order for H2+ species is

Options:

(A) 0.5

(B) 1.0

(C) 1.5

(D) 2.0

Bond Order of H2+ – Molecular Orbital Theory

Molecular Orbital (MO) theory is used to explain bonding in molecules
and molecular ions. Using this theory, we can calculate the
bond order to determine the stability of a species.

Bond Order Formula

According to MO theory:

Bond Order =
(Number of bonding electrons − Number of antibonding electrons) / 2

Electronic Configuration of H2+

  • Each hydrogen atom contributes 1 electron.
  • H2+ has one electron removed.
  • Total electrons = 1.

The single electron occupies the bonding molecular orbital
1s), while the antibonding orbital (σ*1s)
remains empty.

Bond Order Calculation

Bonding electrons = 1

Antibonding electrons = 0

Bond Order = (1 − 0) / 2 = 0.5

Correct Answer

Option (A) – 0.5

Explanation of All Options

Option (A):
Correct. One bonding electron and no antibonding electrons give a
bond order of 0.5.

Option (B):
Incorrect. Bond order 1.0 corresponds to H2, not H2+.

Option (C):
Incorrect. Bond order 1.5 would require three bonding electrons.

Option (D):
Incorrect. Bond order 2.0 indicates a double bond, which is not
possible in hydrogen molecules.

Comparison Table

Species Bonding e Antibonding e Bond Order
H2+ 1 0 0.5
H2 2 0 1.0

Conclusion

Using molecular orbital theory, the bond order of
H2+ is found to be 0.5,
indicating a weak but stable bond.

Therefore, the correct answer is Option (A).

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