Step 1: Concept:
The question asks to identify the fundamental rules governing the drawing and evaluation of resonance structures (canonical forms) in organic chemistry.
Step 2: Key Formula or Approach:
Review the rules of resonance:
- Resonance involves only the delocalization of electrons (specifically $\pi$ electrons and lone pairs). Nuclei (atoms) must never move.
- The overall spin state of the molecule cannot change; the number of unpaired electrons must be conserved across all structures.
- More stable resonance structures contribute more to the hybrid. Stability is lowered by separation of opposite charges, and severely lowered by placing like charges on adjacent (vicinal) atoms.
- A higher resonance energy (the energy difference between the hybrid and the most stable theoretical canonical form) implies greater stability, not lower.
Step 3: Step-by-step Explanation:
• A. Resonance energy should be low: False. Resonance energy is a measure of the extra stability gained by electron delocalization. A high magnitude of resonance energy means the hybrid is much more stable than any single canonical form (e.g., benzene has high resonance energy).
• B. Number of unpaired electrons should be same: True. Spin multiplicity must be conserved. You cannot draw a resonance form that converts a singlet state into a triplet state by breaking electron pairs arbitrarily.
• C. Similar charges on vicinal atoms are highly significant: False. Placing like charges (e.g., two positive charges) on adjacent atoms causes massive electrostatic repulsion. Such structures are extremely high in energy and represent highly insignificant contributors to the resonance hybrid.
• D. Positions of nuclei must remain same: True. This is the absolute golden rule of resonance. If atoms move, it is an isomerization reaction (like tautomerism), not resonance.
• E. Only a pair of electrons should be shifted: Generally true in the context of standard polar organic chemistry taught at this level. We use curved arrows to show the movement of pairs of electrons (lone pairs converting to $\pi$ bonds, or $\pi$ bonds breaking onto atoms as lone pairs). While radical resonance shifts single electrons, standard rules typically focus on electron pairs. Given the available options (since A and C are definitively false), E must be accepted as True in this context.
Therefore, the correct statements are B, D, and E.
Step 4: Final Answer:
The conditions that apply are B, D, and E, corresponding to option (D).