Mo Homonuclear Diatomics

8 MCQs2 revision cards9-step worked example
Source: NCERT Chemical Bonding and Molecular StructurePYQ coverage: NEET 2021, 2022, 2023, 2024, 2025Official key: NTA-verifiedLast reviewed: May 2026

Lesson

The trap that costs marks in MO theory questions is not the bond order formula — it is the MO energy ordering switch between N₂ and O₂.

For homonuclear diatomic molecules, molecular orbitals form by linear combination of atomic orbitals. The 2p set produces three bonding MOs (σ2p, π2p_x, π2p_y) and three antibonding MOs (σ2p, π2p_x, π*2p_y). The critical detail: s-p mixing changes the energy ordering.

Two orderings exist (NCERT Class 11 Chemistry Chapter 4, page 28):

  • For Li₂ through N₂ (s-p mixing active): π2p_x = π2p_y sit below σ2p. The filling order is σ1s < σ1s < σ2s < σ2s < π2p_x = π2p_y < σ2p < π2p_x = π2p_y < σ*2p.
  • For O₂, F₂, Ne₂ (negligible s-p mixing): σ2p drops below π2p_x = π2p_y.

A common mistake: applying one ordering universally. Students who use the O₂ ordering for N₂ misplace electrons and get the wrong bond order or wrong magnetic prediction.

Bond order tells you stability: BO = (N_b − N_a)/2, where N_b = bonding electrons, N_a = antibonding electrons. Another frequent error: forgetting antibonding electrons entirely and computing BO = N_b/2, which inflates the result. F₂ has 8 bonding and 6 antibonding electrons → BO = (8−6)/2 = 1, not 4.

Magnetic behaviour follows directly from the configuration. Unpaired electrons in π*2p orbitals make O₂ paramagnetic — a fact VBT cannot explain but MOT predicts cleanly.

Watch out: if a question asks "which species is paramagnetic," write the full MO configuration first, then check for unpaired electrons. Do not guess from Lewis structures.


Practice MCQs

Select an option to see the explanation. Wrong answers show why your choice was tempting — and name the exact trap it exploits.

MCQ 1Easy RecallPractice

In the MO energy level diagram for N₂, which of the following orderings is correct for the 2p molecular orbitals?

MCQ 2Easy RecallPractice

The MO energy ordering switches between which pair of consecutive homonuclear diatomic molecules?

MCQ 3Easy RecallPractice

Which homonuclear diatomic molecule is paramagnetic?

MCQ 4Direct ApplicationPractice

The bond order of O₂ using MO theory is:

MCQ 5Direct ApplicationPractice

What is the bond order of F₂? Given: F has atomic number 9.

MCQ 6Direct ApplicationPractice

Among O₂, O₂⁺, O₂⁻, and O₂²⁻, which has the highest bond order?

MCQ 7CalculationPractice

B₂ has 10 electrons. Using the correct MO energy ordering for B₂, determine its bond order and magnetic character.

MCQ 8CalculationPractice

A student calculates the bond order of N₂ by counting only bonding electrons and writes BO = N_b/2 = 10/2 = 5. What is the correct bond order, and what error did the student make?

Quick recall before you leave

Worked Example

Pattern: Compute bond order and predict magnetic property from MO configuration (pattern NEET pattern: mo bond order).

  1. 1

    Given

    O₂ is a homonuclear diatomic molecule. Oxygen has atomic number 8, so each atom contributes 8 electrons. Total electrons in O₂ = 16.

  2. 2

    Required

    Bond order of O₂ and whether it is paramagnetic or diamagnetic.

  3. 3

    Concept

    Molecular orbital theory fills electrons into MOs formed by LCAO. For O₂, the ordering WITHOUT s-p mixing applies (σ2p is lower than π2p). Bond order is calculated from bonding vs. antibonding electron count. Magnetic character depends on the presence of unpaired electrons.

  4. 4

    Formula

    BO = (N_b − N_a) / 2

  5. 5

    Substitution

    MO filling for 16 electrons (O₂ ordering): | MO | Electrons | Type | |---|---|---| | σ1s | 2 | bonding | | σ*1s | 2 | antibonding | | σ2s | 2 | bonding | | σ*2s | 2 | antibonding | | σ2p | 2 | bonding | | π2p_x | 2 | bonding | | π2p_y | 2 | bonding | | π*2p_x | 1 | antibonding | | π*2p_y | 1 | antibonding | N_b = 2 + 2 + 2 + 2 + 2 = 10 N_a = 2 + 2 + 1 + 1 = 6

  6. 6

    Calculation

    BO = (10 − 6) / 2 = 4/2 = 2 Note: N_b and N_a are exact counting integers. They do not limit significant figures.

  7. 7

    Final answer

    Bond order of O₂ = **2**. The two electrons in the degenerate π*2p orbitals are unpaired (one in π*2p_x, one in π*2p_y, by Hund's rule). Therefore O₂ is **paramagnetic**.

  8. 8

    Common trap

    Forgetting antibonding electrons entirely: a student who computes BO = 10/2 = 5 has used the wrong formula (N_b/2 instead of (N_b − N_a)/2). This is a documented common mistake (mistake: mo bond order no antibonding in natural terms: "counts only bonding electrons in bond order calculation").

  9. 9

    Similar NEET-style question

    "Write the MO configuration of N₂ and calculate its bond order. Predict whether N₂ or O₂ has a stronger bond." (Requires applying the s-p mixing ordering for N₂ and comparing BO = 3 vs. BO = 2.) ---

Before solving, remember these

H₂: σ1s² (BO=1, diamagnetic). N₂: σ1s²σ*1s²σ2s²σ*2s²π2p⁴σ2p² (BO=3). O₂: π*2p² unpaired (BO=2, paramagnetic). F₂: π*2p⁴ (BO=1).

-- NCERT Class 11 Chemistry, Ch. 4, p. 28

Formulas

Bond order from MO theory

Higher bond order: shorter, stronger bond. N₂: BO=3, O₂: BO=2, F₂: BO=1.

SymbolQuantitySI Unit
N_bbonding electrons-
N_aantibonding electrons-
BObond order-

Valid when

  • MO theory framework
  • Closed-shell molecule (or with appropriate treatment)

Dipole moment

Product of charge magnitude and bond length. SI: C·m. Common: Debye (1 D = 3.336e-30 C·m).

SymbolQuantitySI Unit
qchargeC
dbond lengthm
mudipole momentC*m or D

Valid when

  • Diatomic or vector-summed for polyatomic
  • Polar bond

Exam Traps & Common Mistakes

These are the exact patterns that cause wrong answers in NEET. Each trap includes when it triggers and how to avoid it.

Category: Inorganic Exception

Student counts only bonded atoms when assigning hybridization. Lone pairs count toward steric number too. Steric number = bond pairs + lone pairs → hybridization.

When it triggers

Molecule with central atom having lone pairs (e.g., NH₃: 3 bonds + 1 lp = 4 = sp³; H₂O: 2+2 = 4 = sp³).

How to avoid

Steric number formula: SN = (bond pairs) + (lone pairs). SN=2: sp; SN=3: sp²; SN=4: sp³; SN=5: sp³d; SN=6: sp³d². Lone pairs distort but still count.

Past Year Questions

14 questions from NEET 2021, 2022, 2023, 2024, 2025. Answers verified against NTA official keys.

NEET 2025

Given below are two statements : Statement I : A hypothetical diatomic molecule with bond order zero is quite stable. Statement II : As bond order increases, the bond length increases. In the light of the above statements, choose the most appropriate answer from the options given below :

1Statement I is false but Statement II is true
2Both Statement I and Statement II are true
3Both Statement I and Statement II are false
4Statement I is true but Statement II is false
NTA Answer: Option 3(final)
NEET 2025

Given below are two statements : Statement I : Like nitrogen that can form ammonia, arsenic can form arsine. Statement II : Antimony cannot form antimony pentoxide. In the light of the above statements, choose the most appropriate answer from the options given below :

1Statement I is incorrect but Statement II is correct
2Both Statement I and Statement II are correct
3Both Statement I and Statement II are incorrect
4Statement I is correct but Statement II is incorrect
NTA Answer: Option 4(final)
NEET 2022

Which statement regarding polymers is not correct?

1Thermosetting polymers are reusable
2Elastomers have polymer chains held together by weak intermolecular forces
3Fibers possess high tensile strength
4Thermoplastic polymers are capable of repeatedly softening and hardening on heating and cooling respectively
NTA Answer: Option 1(final)

How NEET usually asks this

Recurring question shapes from past papers. Each pattern shows why wrong options look tempting.

Sources

NCERT refs: Class 11 Chemistry Chapter 4, p.28

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