Formal Charge (HL) (DP IB Chemistry): Revision Note

Philippa Platt

Written by: Philippa Platt

Reviewed by: Richard Boole

Updated on

Formal charge

  • Sometimes, more than one valid Lewis formula can be drawn for a molecule

    • This can even occur when following the octet rule

  • Formal charge (FC) is used to decide which structure is most likely

  • Formal charge:

    • Assigns a charge to each atom in a structure

    • Assumes electrons in bonds are shared equally, regardless of electronegativity

  • It is a simple method that compares:

    • The number of valence electrons (V) an atom brings

    • The number of bonding electrons (B) an atom shares

    • The number of non-bonding (lone pair) electrons (N) an atom holds

  • The formula for calculating formal charge is:

FC= (number of valence electrons) - ½(number of bonding electrons) - (number of non-bonding electrons)

or

FC= V - ½B - N

Worked Example

What is the formal charge on boron in the BH4- ion?

Answer:

  • Boron is a group 13 element, so it has 3 valence electrons

  • Each hydrogen contributes one electron

  • The 1- charge on the ion adds 1 electron

  • Total valence electrons = 3 + (4 x 1) + 1 = 8

  • Therefore, the Lewis formula is:

BH4 anion Lewis structure, downloadable IB Chemistry revision notes
  • The number of bonded electrons is 8

  • The number of non-bonded electrons is zero

  • So, the formal charge on boron is:

FC (B) = (3) - (½ x 8) - 0 = -1

Formal charge and resonance

  • Formal charge is especially useful when comparing resonance structures

    • Resonance structures are different Lewis formulas that can be drawn for the same species

  • The preferred Lewis formula is usually the one where:

    • The difference in formal charges is closest to zero

    • Any negative charges are placed on the most electronegative atom

Example: sulfur dioxide

  • It is possible to draw three resonance structures for sulfur dioxide, SO2:

Sulphur trioxide resonance structures showing electron rearrangement with alternating double and single bonds, including formal charges.
The three resonance structures of sulfur dioxide
  • The first structure is an illustration of the expansion of the octet as the sulfur has 10 electrons around it

  • Formal charge can be used to decide which of the Lewis formulas is preferred

  • The formal charge on the first structure is:

FC on sulfur = (6) - (½ x 8) - (2) = 0

FC on oxygen = (6) - (½ x 4) - (4) = 0

  • The difference in formal charge is:

ΔFC = FCmax- FCmin 

ΔFC = 0 - 0 = 0

  • The formal charge on the second (and third) structures is:

FC on sulfur = (6) - (½ x 6) - (2) = +1

FC on left side oxygen = (6) - (½ x 2) - (6) = -1

FC on right side oxygen = (6) - (½ x 4) - (4) = 0

  • The difference in formal charge is:

ΔFC = FCmax- FCmin 

ΔFC = (+1) - (-1) = 2

  • The first structure is the preferred structure because it has the difference in formal charge closest to zero

Worked Example

What is the formal charge on the two resonance structures shown?

Chemical resonance structure of carbon dioxide, showing electron arrangements and charges, with two labelled forms 'I' and 'II', separated by a double arrow.
Resonance structures of carbon dioxide

Determine which resonance structure is preferred based on formal charge.

Answer:

Structure I

  • Formal charge calculations:

Carbon = (4) - (½ x 8) - (0) = 0

Oxygen = (6) - (½ x 4) - (4) = 0

  • Difference in formal charge calculation:

ΔFC = FCmax- FCmin 

ΔFC = 0 - 0 = 0

Structure II

  • Formal charge calculations:

Carbon = (4) - (½ x 8) - (0) = 0

Left hand oxygen = (6) - (½ x 6) - (2) = +1

Right hand oxygen = (6) - (½ x 2) - (6) = -1

  • Difference in formal charge calculation:

ΔFC = FCmax- FCmin 

ΔFC = (+1) - (-1) = 2

Structure I is the preferred structure as the difference in formal charge is closest to zero

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Philippa Platt

Author: Philippa Platt

Expertise: Chemistry Content Creator

Philippa has worked as a GCSE and A level chemistry teacher and tutor for over thirteen years. She studied chemistry and sport science at Loughborough University graduating in 2007 having also completed her PGCE in science. Throughout her time as a teacher she was incharge of a boarding house for five years and coached many teams in a variety of sports. When not producing resources with the chemistry team, Philippa enjoys being active outside with her young family and is a very keen gardener

Richard Boole

Reviewer: Richard Boole

Expertise: Chemistry Content Creator

Richard has taught Chemistry for over 15 years as well as working as a science tutor, examiner, content creator and author. He wasn’t the greatest at exams and only discovered how to revise in his final year at university. That knowledge made him want to help students learn how to revise, challenge them to think about what they actually know and hopefully succeed; so here he is, happily, at SME.