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To find the formal charge of an atom within a molecule, you need to compare the atom's actual number of valence electrons with its expected or assigned number of valence electrons. The formal charge helps determine the electron distribution and can provide insights into the atom's reactivity within the molecule.

Here's the formula to calculate the formal charge of an atom:

Formal Charge = Valence Electrons (expected) - Non-bonding Electrons - 1/2 * Bonding Electrons

To determine the formal charge, follow these steps:

  1. Identify the atom for which you want to calculate the formal charge.

  2. Determine the atom's expected or assigned number of valence electrons based on its position in the periodic table:

    • For main group elements, the expected number of valence electrons is the same as the group number.
    • For transition metals, the expected valence electrons are determined by considering their oxidation state or coordination number.
  3. Count the number of non-bonding electrons around the atom. These are the electrons that are not involved in any covalent bonds.

  4. Count the number of bonding electrons associated with the atom. Each bond contributes two electrons, one from each bonded atom.

  5. Use the formula above to calculate the formal charge by subtracting the non-bonding electrons and half of the bonding electrons from the expected number of valence electrons.

Once you have calculated the formal charge for an atom, you can assess its relative electron deficiency or electron excess. A formal charge of zero indicates that the atom has its expected number of valence electrons. Positive formal charges indicate a deficit of electrons, while negative formal charges indicate an excess of electrons.

It's important to note that the formal charge is a formalism and does not represent an actual charge on the atom. It helps in understanding electron distribution within a molecule but should be interpreted in conjunction with other factors when assessing the reactivity and behavior of atoms in chemical reactions.

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