how to calculate formal charge

3 hours ago 3
Nature

To calculate the formal charge of an atom in a molecule, use the following formula:

Formal Charge (FC)=Valence Electrons (VE)−Non-bonded Electrons (NBE)−Number of Bonds (B)\text{Formal Charge (FC)}=\text{Valence Electrons (VE)}-\text{Non- bonded Electrons (NBE)}-\text{Number of Bonds (B)}Formal Charge (FC)=Valence Electrons (VE)−Non-bonded Electrons (NBE)−Number of Bonds (B)

Where:

  • Valence Electrons (VE) is the number of electrons the neutral atom has, based on its group number in the periodic table.
  • Non-bonded Electrons (NBE) are the electrons in lone pairs on the atom (each lone pair counts as 2 electrons).
  • Number of Bonds (B) is the number of bonds the atom forms (each bond counts as 1 electron for this calculation, equivalent to half the bonding electrons).

Step-by-step method:

  1. Determine the number of valence electrons for the neutral atom (e.g., 6 for oxygen, 4 for carbon).
  2. Count all the lone pair electrons on the atom.
  3. Count the number of bonds the atom forms.
  4. Apply the formula:

FC=VE−NBE−B\text{FC}=\text{VE}-\text{NBE}-\text{B}FC=VE−NBE−B

This assumes bonding electrons are shared equally between atoms.

Example:

For nitrogen in NH₃ (ammonia):

  • VE = 5 (nitrogen group number)
  • NBE = 2 electrons (1 lone pair)
  • B = 3 bonds
    So,

FC=5−2−3=0\text{FC}=5-2-3=0FC=5−2−3=0

The formal charge on nitrogen is zero

. This method helps identify the most stable Lewis structure by minimizing formal charges and placing negative charges on more electronegative atoms. Note that formal charge is a bookkeeping tool and does not always reflect actual charge distribution