H3 Chemistry 9813 · Study focus: H3 Chemistry: Apply LCAO to homonuclear diatomic molecules

H3 Chemistry: Apply LCAO to homonuclear diatomic molecules

Start from the governing chemical model, test it against evidence, then transfer the reasoning to an unfamiliar case.

Your success criteria

  • Apply LCAO to homonuclear diatomic molecules
  • Use named chemical evidence.
  • Transfer the governing reason to an unfamiliar case.
Diagnose this objective

Orientation and prerequisite retrieval

Combining two compatible AOs produces two MOs: one bonding and one antibonding.

The in-phase linear combination is lower in energy for a bonding interaction.

Explore this H3 topic and lesson sequence.

Definitions and exact language

The out-of-phase linear combination has an additional internuclear node.

Only AOs of compatible symmetry and comparable energy mix substantially.

  1. Two H 1s AOs form σ1s and σ*1s molecular orbitals.

  2. Two bond-axis 2p orbitals form σ2p and σ*2p partners.

H3 Chemistry: Apply LCAO to homonuclear diatomic molecules: move from the evidence or givens, through the governing Chemistry idea, to a conclusion that stays inside the selected course boundary.
H3 Chemistry: Apply LCAO to homonuclear diatomic molecules evidence representation. A energy-level-diagram makes the decisive relationship for apply lcao to homonuclear diatomic molecules inspectable instead of relying on a topic label.
Aligned parent 2p orbitals++Aligned A and B 2p⊥ parentssame phase faces same phaseπ2p bonding molecular orbital+ABπ2p bonding: continuous side-on densitynodal plane through axis; no A–B nodeπ*2p antibonding molecular orbital++ABπ*2p antibonding: opposite phaseadditional internuclear node

Text alternative: Text alternative: Two parallel off-axis p orbitals form π2p and π*2p partners. A complete LCAO sketch aligns parent AOs, phases, resulting MOs and energy.

Detailed molecular explanation

Two H 1s AOs form σ1s and σ*1s molecular orbitals.

Two bond-axis 2p orbitals form σ2p and σ*2p partners.

Worked leaf-specific case

Two parallel off-axis p orbitals form π2p and π*2p partners.

AO coefficients show relative contribution and phase in a linear combination.

  • A candidate writes, “Two compatible atomic orbitals make only one molecular orbital.” Which correction should replace it?
Open the feedback checkpoint after attempting
  • Combining two compatible AOs produces two MOs: one bonding and one antibonding.

Guided evidence check

Homonuclear partners contribute equally by symmetry to each two-centre MO.

The number of basis AOs is conserved as the number of resulting MOs.

  • Which labelled diagram, spectrum or calculation would most directly disprove “Any pair of AOs mixes equally regardless of symmetry or energy.”?
Open the feedback checkpoint after attempting
  • Only AOs of compatible symmetry and comparable energy mix substantially.

Start the diagnostic and follow its feedback

Independent transfer

Bonding and antibonding levels lie below and above the interacting AO reference in the qualitative model.

A complete LCAO sketch aligns parent AOs, phases, resulting MOs and energy.

  • Design a specific chemical check that would expose the error in “Parallel off-axis p orbitals form σ symmetry.”
Open the feedback checkpoint after attempting
  • Two parallel off-axis p orbitals form π2p and π*2p partners.

Misconception repair

Misconception: Both combinations must lie below the parent AO energies.

Repair: Bonding and antibonding levels lie below and above the interacting AO reference in the qualitative model.

  • Write leaf-specific feedback for the misconception “Both combinations must lie below the parent AO energies.”
Open the feedback checkpoint after attempting
  • Bonding and antibonding levels lie below and above the interacting AO reference in the qualitative model.

Practice, unseen assessment, re-test and next step

Complete the diagnostic questions, review the feedback, then attempt the final check.

After delayed re-test, continue to Apply LCAO to benzene and linear polyenes at /learning/h3-molecular-orbitals-lcao-conjugated-lesson.html.

  • Review the feedback for each diagnostic question, then attempt the final check.
Open the feedback checkpoint after attempting
  • Before moving on, state this boundary: A complete LCAO sketch aligns parent AOs, phases, resulting MOs and energy.