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Bond order from molecular orbital theory: Class 11 practice

Bond order = ½(bonding electrons − antibonding electrons). Read the method, follow the three worked examples, then try the six questions.

What you should know first

  • Electronic configuration

The idea behind bond order from molecular orbital theory

Bond order = ½(bonding electrons − antibonding electrons). Higher bond order means a shorter, stronger bond; bond order 0 means the molecule doesn't exist. Unpaired electrons make a species paramagnetic.

Step-by-step method

  1. Count total valence-shell electrons (include charge).
  2. Fill MOs in order.
  3. Bond order = ½(Nb − Na); check unpaired electrons.

Worked example 1 (Basic)

Find the bond order of O₂⁺ and say whether it is paramagnetic.

  1. Bonding 10, antibonding 5 (counting from 1s/2s as applicable)
  2. Bond order = ½(10 − 5) = 2.5
  3. Has unpaired electrons → paramagnetic
  4. Answer: 2.5, paramagnetic

Worked example 2 (Standard)

Find the bond order of B₂ and say whether it is paramagnetic.

  1. Bonding 6, antibonding 4 (counting from 1s/2s as applicable)
  2. Bond order = ½(6 − 4) = 1
  3. Has unpaired electrons → paramagnetic
  4. Answer: 1, paramagnetic

Worked example 3 (Challenge)

Find the bond order of N₂ and say whether it is paramagnetic.

  1. Bonding 10, antibonding 4 (counting from 1s/2s as applicable)
  2. Bond order = ½(10 − 4) = 3
  3. All paired → diamagnetic
  4. Answer: 3, diamagnetic

Common mistakes and misconceptions

  • Forgetting to add/remove electrons for ions
  • Calling O₂ diamagnetic

Practice questions

  1. (Basic) Find the bond order of C₂ and say whether it is paramagnetic.
  2. (Basic) Find the bond order of H₂ and say whether it is paramagnetic.
  3. (Standard) Find the bond order of He₂ and say whether it is paramagnetic.
  4. (Standard) Find the bond order of N₂⁺ and say whether it is paramagnetic.
  5. (Challenge) Find the bond order of O₂⁻ and say whether it is paramagnetic.
  6. (Challenge) Find the bond order of F₂ and say whether it is paramagnetic.

Answer key with full working

  • Q1: Bonding 8, antibonding 4 (counting from 1s/2s as applicable) → Bond order = ½(8 − 4) = 2 → All paired → diamagnetic → Answer: 2, diamagnetic
  • Q2: Bonding 2, antibonding 0 (counting from 1s/2s as applicable) → Bond order = ½(2 − 0) = 1 → All paired → diamagnetic → Answer: 1, diamagnetic
  • Q3: Bonding 2, antibonding 2 (counting from 1s/2s as applicable) → Bond order = ½(2 − 2) = 0 → All paired → diamagnetic → Answer: 0, diamagnetic
  • Q4: Bonding 9, antibonding 4 (counting from 1s/2s as applicable) → Bond order = ½(9 − 4) = 2.5 → Has unpaired electrons → paramagnetic → Answer: 2.5, paramagnetic
  • Q5: Bonding 10, antibonding 7 (counting from 1s/2s as applicable) → Bond order = ½(10 − 7) = 1.5 → Has unpaired electrons → paramagnetic → Answer: 1.5, paramagnetic
  • Q6: Bonding 10, antibonding 8 (counting from 1s/2s as applicable) → Bond order = ½(10 − 8) = 1 → All paired → diamagnetic → Answer: 1, diamagnetic

Syllabus note

This skill is listed under "Chemical Bonding" for Class 11 in the NCERT/CBSE books. ICSE, IGCSE, IB and state boards may teach it in a different chapter or year.

Answers on this page are generated and automatically re-checked by a second, independent calculation. They have not been reviewed by a teacher — if you spot a problem, tell us on WhatsApp.

Related practice and notes

Frequently asked questions

Which chapter is bond order from molecular orbital theory in?

"Chemical Bonding", Class 11 Chemistry (NCERT/CBSE). Other boards may place it differently.

How were the answers checked?

Answers on this page are generated and automatically re-checked by a second, independent calculation. They have not been reviewed by a teacher — if you spot a problem, tell us on WhatsApp.

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