H3 Chemistry 9813 · Study focus: H3 Chemistry: Distinguish molecular orbitals with sigma and pi symmetry

H3 Chemistry: Distinguish molecular orbitals with sigma and pi symmetry

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

Your success criteria

  • Distinguish molecular orbitals with sigma and pi symmetry
  • Use named chemical evidence.
  • Transfer the governing reason to an unfamiliar case.
Diagnose this objective

Orientation and prerequisite retrieval

A σ MO is cylindrically symmetric about the internuclear axis.

A π MO has a nodal plane containing the internuclear axis.

Explore this H3 topic and lesson sequence.

Definitions and exact language

Rotation about the bond axis leaves a σ wavefunction's spatial form unchanged.

A π MO has lobes on opposite sides of the internuclear axis.

  1. Head-on overlap of orbitals along the axis produces σ symmetry.

  2. Side-on overlap of parallel p orbitals produces π symmetry.

H3 Chemistry: Distinguish molecular orbitals with sigma and pi symmetry: move from the evidence or givens, through the governing Chemistry idea, to a conclusion that stays inside the selected course boundary.
H3 Chemistry: Distinguish molecular orbitals with sigma and pi symmetry evidence representation. A energy-level-diagram makes the decisive relationship for distinguish molecular orbitals with sigma and pi symmetry inspectable instead of relying on a topic label.
H3 Chemistry: Distinguish molecular orbitals with sigma and pi symmetry authored energy representationText alternative: The σ or π label is independent of whether the orbital is bonding or antibonding. Symmetry is assigned from behaviour in space, not from the orbital's energy ranking.energy / qualitative ↑Symmetry and bonding character are independent labelsσ2p bondingcylindrical; + +σ*2p antibondingcylindrical; + −; internuclear nodeπ2p bondingnodal plane through axis; side-on +/+π*2p antibondingaxis plane plus between-centres nodeσ/π describes spatial symmetry; * describes antibondingSigma and pi spatial symmetrycylindrical about axisσ + axialσ + axialπ + aboveπ + aboveπ − belowπ − belownodal plane contains internuclear axis

Text alternative: Text alternative: The σ or π label is independent of whether the orbital is bonding or antibonding. Symmetry is assigned from behaviour in space, not from the orbital's energy ranking.

Detailed molecular explanation

Head-on overlap of orbitals along the axis produces σ symmetry.

Side-on overlap of parallel p orbitals produces π symmetry.

Worked leaf-specific case

The σ or π label is independent of whether the orbital is bonding or antibonding.

Both σ and σ* retain cylindrical symmetry about the bond axis.

  • A candidate writes, “A σ MO must contain a nodal plane through the bond axis.” Which correction should replace it?
Open the feedback checkpoint after attempting
  • A σ MO is cylindrically symmetric about the internuclear axis.

Guided evidence check

Both π and π* possess the symmetry nodal plane containing the bond axis.

The internuclear axis must be marked before symmetry is assigned from a drawing.

  • Which labelled diagram, spectrum or calculation would most directly disprove “A π MO lies only on the internuclear axis.”?
Open the feedback checkpoint after attempting
  • A π MO has lobes on opposite sides of the internuclear axis.

Start the diagnostic and follow its feedback

Independent transfer

A cross-section alone is insufficient if it hides whether a node contains the bond axis.

Symmetry is assigned from behaviour in space, not from the orbital's energy ranking.

  • Design a specific chemical check that would expose the error in “σ always means bonding and π always means antibonding.”
Open the feedback checkpoint after attempting
  • The σ or π label is independent of whether the orbital is bonding or antibonding.

Misconception repair

Misconception: Any two-lobed cross-section proves π symmetry.

Repair: A cross-section alone is insufficient if it hides whether a node contains the bond axis.

  • Write leaf-specific feedback for the misconception “Any two-lobed cross-section proves π symmetry.”
Open the feedback checkpoint after attempting
  • A cross-section alone is insufficient if it hides whether a node contains the bond axis.

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 Explain discrete molecular-orbital energy levels at /learning/h3-molecular-orbitals-discrete-energy-levels-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: Symmetry is assigned from behaviour in space, not from the orbital's energy ranking.