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Calculating Formal Charges

Calculating Formal Charges

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What is the Formal Charge of an ? Calculating Formal • The Formal Charge is a mathematical summation of Charges the number of actual associated with an atom in a . “Electronic Bookkeeping”

Simple but significant • The Formal Charge is all determined relative to the number of electrons an atom would have in the ground state.

• Remember, valence electrons are those found in the outermost unfilled shell.

What is the Formal Charge of What is the Formal Charge of an Atom? an Atom?

• Anytime you see a charge in a molecule, it tells you • Charges can be found on all sorts of common that the atom with the charge has more or less to organic , including carbons, oxygens, electrons than it normally would. nitrogens and halides.

• A -1 charge equals one extra on an atom. • Remember that carbon typically has four covalent bonds. If it has only three, then it will be a charged • A +1 charge equals one less electron on an atom. atom, depending on whether it has a lone pair or not. O H C C

H

What is the Formal Charge of What is the Formal Charge of an Atom? an Atom?

• Oxygen atoms, when neutral, have two covalent • The presence of more or less electron density in a bonds and two lone pairs, like in water. Often molecule dictates the flow of electrons in a process though oxygen atoms may have negative or positive so this is really helpful information. charges.

• Nitrogen atoms, when neutral, have three covalent bonds and one lone pair. These can also have • So – how do you calculate the Formal Charge on an negative or positive charges, depending on what is atom? bonded.

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What is the Formal Charge of What is the Formal Charge of an Atom? an Atom?

• The equation to determine the Formal Charge on an • Keep in mind that Formal Charge is for a specific atom: atom so you have to know exactly which atom you FC = (The number of valence electrons on the atom in are doing the calculation for. the ground state) – ½ (total number of electrons in covalent bonds attached to the atom, with each covalent • Determine the Formal Charge on the nitrogen atom bond having two electrons) – (all electrons in lone pairs in the following: on an atom, with each lone pair equal to two electrons). H H N • So: H FC = #Valence – ½ (bonding) – (all lone pair electrons)

Calculating some Formal Calculating some Formal Charges Charges

• Nitrogen is in Group V and has 5 valence electrons • Calculate the formal charge on oxygen in the in the ground state. H H hydronium ion shown: N H H O H H • FC = #Valence – ½ (bonding) – (all lone pair electrons) • Oxygen is in Group VI and has 6 valence electrons in the ground state. • FC(N) = 5 – ½ (6) – (2) = 5 – 3 – 2 = 0 • FC = #Valence – ½ (bonding) – (all lone pair • Nitrogen has no charge – its neutral. electrons)

Calculating some Formal Calculating some Formal Charges Charges

• FC = #Valence – ½ (bonding) – (all lone pair • Every time you see that positive charge on an atom, electrons) it technically means the atom is missing one entire electron. H H • FC(O) = 6 – ½ (6) – (2) = 6 – 3 – 2 = +1 O

H H H O

H • In this case, the oxygen only has five electrons, not six.

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Calculating some Formal Calculating some Formal Charges Charges

• Calculate the formal charge on oxygen in the • FC(O) = 6 – ½ (2) – (6) = 6 – 1 – 6 = -1 molecule shown: O • As in this sodium salt:

O Na • Again, oxygen is in Group VI and has 6 valence electrons in the ground state.

Calculating some Formal Calculating some Formal Charges Charges

• Calculate the formal charge on oxygen in the • Calculate the formal charge on oxygen in the molecule shown: H molecule shown: H O O

H • FC(O) = 6 – ½ (6) – (2) = 6 – 3 – 2 = +1 O

Calculating some Formal Calculating some Formal Charges Charges

• FC(O) = 6 – ½ (6) – (2) = 6 – 3 – 2 = +1 • Calculate the formal charge on nitogen in the molecule shown: H H O N

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Calculating some Formal Calculating some Formal Charges Charges

• FC(O) = 5 – ½ (8) – (0) = 5 – 4 – 0 = +1 • Calculate the formal charge on the carbon (highlighted in red) in the molecule shown: H

N O S H H3C C H

Calculating some Formal Calculating some Formal Charges Charges

• Carbon is in Group IV. • Calculate the formal charge on the sulfur (highlighted in red) in the molecule shown: • FC(O) = 4 – ½ (6) – (2) = 4 – 3 – 2 = -1 O O S H S H3C C H3C CH3 H

Calculating some Formal Calculating some Formal Charges Charges

• Sulfur is in Group IV. • Final Problem: Calculate the formal charge on the oxygen (highlighted in red) in the molecule shown: • FC(O) = 6 – ½ (6) – (2) = 6 – 3 – 2 = +1 O O S S H3C CH3 H3C CH3

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Calculating some Formal Formal Charges Charges

• Oxygen is in Group IV. • Just remember: Valence Electrons minus half the bonding electrons (two per bond) minus all of the • FC(O) = 6 – ½ (2) – (6) = 6 – 1 – 6 = -1 lone pair electrons (two per pair)… O

S • Thanks for reading… H3C CH3

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