Formal ChargeCourse level: AP Chemistry

Choosing the Best Lewis Structure with Formal Charge

What you'll be able to do: Rank competing Lewis structures and justify which contributes most to the resonance hybrid.

Best after: Formal Charge: Definition and Calculation, Resonance Structures

Introduction

Several structures can be legal at once. Formal charge is the tie breaker chemists actually use.

These are recommended, not required. You can start this lesson at any time.

Learning objectives

  • Apply the formal charge criteria in priority order
  • Rank unequal resonance contributors
  • Place negative formal charge on the correct atom
  • Justify a choice of structure in written form

Apply validity checks before preference rules

First require the correct connectivity, total valence electrons and overall charge. Then require ordinary second-period octets, apart from a justified radical or electron-deficient exception. A structure with ten electrons on N is invalid even if a formal-charge calculation looks attractive. Formal-charge preferences cannot rescue an invalid electron budget or forbidden octet expansion.

Among valid drawings, prefer fewer and smaller formal-charge magnitudes when other factors are comparable. All neutral structures already have a net charge of zero, so “closest to zero” must refer to individual charges and charge separation, not to their sum. Next, a negative charge is generally better accommodated on a more electronegative atom. These are introductory chemical heuristics, not exact calculated resonance weights.

These rules never override the octet limits. A period 2 atom is still capped at eight electrons even if expanding would zero out a formal charge.

Ranking resonance contributors

Formal-charge and electronegativity rules are introductory ranking heuristics, not quantitative resonance-weight measurements. In SCN⁻, S=C=N has formal charges (0,0,−1), while S–C≡N has (−1,0,0). The stated electronegativity tiebreaker selects the first because N is more electronegative than S; this alone does not establish the actual weights of the contributors. A third valid octet drawing S≡C–N has (+1,0,−2), placing +1 on sulfur, not nitrogen. The real ion is a resonance hybrid.

To compare N₂O contributors, keep N–N–O connectivity and use sixteen valence electrons in each. The triple/single form has terminal N = 0, central N = +1, O = −1. The double/double form has terminal N = −1, central N = +1, O = 0. Both satisfy octets and have equal charge magnitudes; placing the negative formal charge on O favors the first under the electronegativity criterion. Reversing the connectivity to N–O–N is not merely another resonance contributor.

Both contributors pass electron-budget and octet checks; placing negative formal charge on O makes one more important.

Writing the justification

A complete answer names the structure, gives the formal charges, and states the rule used. For example: this structure is preferred because all formal charges are zero, while the alternative places +1 on oxygen, the most electronegative atom present.

When charges are unavoidable

Ions must carry charge somewhere, so the goal is the best placement, not zero everywhere. In nitrate, the negative charges sit on oxygen atoms rather than on nitrogen, which is exactly what the second rule demands.

Nitrate illustrates why zero everywhere is impossible for an anion. Its required charge is −1, and the standard octet contributors each have +1 on N and two −1 oxygens. Drawing three N=O bonds would appear to change the charge distribution but gives nitrogen twelve surrounding electrons, which fails the validity check. Show all equivalent valid contributors rather than selecting one oxygen as the permanent location of the negative charge.

State a complete comparative justification

A useful written answer names the favored drawing, lists the distinguishing formal charges and states the criterion. For OCN⁻: “Both octet-valid contributors have overall −1 charge, but the O–C≡N contributor places the negative formal charge on O rather than N. With equal charge magnitudes, oxygen's greater electronegativity favors that contributor in this model.”

Check that the same criterion really distinguishes the candidates. Equivalent carbonate contributors have equal formal-charge patterns related by symmetry, so no oxygen's version is preferred over the others. For non-equivalent contributors involving different elements or bond types, electronegativity alone may not establish actual physical weights. Report the conclusion under the stated heuristic without claiming that a minor contributor disappears from the description.

Validate electron count and octets before comparing formal-charge placement.

Key ideas

Rule
Rule 1

Minimise the magnitude of formal charges.

Rule
Rule 2

Put negative formal charge on the more electronegative atom.

Rule
Rule 3

Avoid adjacent like charges and charges beyond one unit where possible.

Key concept
Thiocyanate

Under the formal-charge/electronegativity heuristic, S=C=N with −1 on N is selected over S–C≡N with −1 on S. This is not a measured resonance weighting.

Equation
Formal charge

FC = V - N - B/2

    Worked examples

    Worked example 1

    Two structures for N₂O with connectivity N-N-O are possible: a triple bonded N to N with a single N-O, or a double bond on both sides. Which contributes more?

    Try it first: Compute formal charges on all three atoms in each structure.

      0 of 4 steps revealed.

      Worked example 2

      For CO₂, compare O=C=O with a structure holding one C-O single bond and one C triple bond O.

      Try it first: Compute the charges for both.

        0 of 3 steps revealed.

        Worked example 3

        For cyanate OCN⁻, compare O=C=N⁻ with -O-C≡N as Lewis contributors.

        Try it first: Both have the O-C-N skeleton and 16 valence electrons.

          0 of 3 steps revealed.

          Common mistakes

          Common mistakes and better checks
          MistakeWhy it's wrongCheck instead
          Expanding a period 2 octet to reduce a formal charge.There are no available orbitals, so the structure is invalid however good the charges look.Keep C, N, O and F at eight electrons.
          Treating all resonance contributors as equally important.Only equivalent structures contribute equally; unequal ones are weighted by the ranking rules.Use symmetry to identify equal contributors; use stated chemical heuristics cautiously for unequal ones.
          Trying to make every formal charge zero in an ion.The charges must sum to the ionic charge, so some must be nonzero.Aim for the best placement rather than for zeros.

          Scroll horizontally if needed to read all columns.

          After the lesson · Question bank

          Independent practice

          Work through new problems on your own. The lesson's quick checks and worked examples stay above if you need to review a step.

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          What you should now know

          First require correct electron count, connectivity, charge and allowed local octets. Among valid contributors, formal-charge magnitude and electronegativity provide useful ranking heuristics. Equivalent contributors have equal weights, but simple rules do not measure the actual weights of unequal contributors.

          • Rank candidate structures by formal charge magnitude first
          • Negative formal charge belongs on the more electronegative atom
          • Avoid adjacent like charges
          • Octet limits always outrank formal charge preferences
          • Ranking heuristics do not by themselves determine numerical weights of unequal resonance contributors.

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          Sources and further reading

          • Chemistry 2e, Section 7.4: Formal Charges and Resonance
            OpenStax · Rice University · 7.4
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            Lesson-specific rights and provenance need review.

            The current online Chemistry 2e edition lists CC BY-NC-SA 4.0. The source version used for this lesson and its applicable rights remain unverified.

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