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Formal Charges in Organic Chemistry: Understanding Electrostatic Imbalances in Molecules, Study notes of Logic

Learn how to calculate formal charges on atoms in organic molecules using complete Lewis structures. Understand the concept of electrostatic imbalance and its impact on an atom's reactivity. examples for methane, water, ammonia, and hydrazoic acid.

What you will learn

  • What is the significance of formal charges in organic chemistry?
  • How is the formal charge of an atom calculated?
  • How does the number of valence electrons around an atom relate to its formal charge?

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Uploaded on 09/12/2022

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About Formal Charges
CHEM 330 handout
The valence electrons of an atom in the bonded state (= one that is part of a molecule)
often cancel out its nuclear charge. Positive (nuclear) and negative (electronic) charges
are then electrostatically balanced. In some bonded states, however, an atom may find
itself surrounded by a greater or a fewer number of valence electrons than expected on
the basis of its nuclear charge. An electrostatic imbalance then occurs.
If the atom in question finds itself with more valence electrons than expected, then it will
be negatively charged. The atom will probably be inclined to behave as an electron
donor, and this propensity will govern much of its reactivity.
If the atom in question finds itself with fewer valence electrons than expected, then it will
be positively charged. The atom will probably be inclined to behave an electron
acceptor, and again this proclivity will control much of its reactivity.
Because organic reactions are movements of electrons, and because electrons always
move from electrostatically negative sites to positive ones, it is essential to know whether
the bonded state of an atom has created an electrostatic imbalance. This will allow us to
rationalize and predict the reactivity of such an atom, and by extension of the
molecule containing that atom.
Enter the formal charge
The formal charge of an atom is a parameter that indicates whether
the atom in question is electrostatically balanced or unbalanced.
The formal charge of an atom in a molecule is easily calculated from the complete Lewis
structure of the molecule (i.e., one that shows all bonding and nonbonding electron pairs).
One simply needs to count how many valence electrons (both bonding and nonbonding)
the atom in question has contributed to the molecule, i.e., how many valence electrons are
formally present around the atom, then decide whether the number of such valence
electrons corresponds to an electrostatic balance or an imbalance
The following examples illustrate how this is done.
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About Formal Charges

CHEM 330 handout

The valence electrons of an atom in the bonded state (= one that is part of a molecule)

often cancel out its nuclear charge. Positive (nuclear) and negative (electronic) charges

are then electrostatically balanced. In some bonded states, however, an atom may find

itself surrounded by a greater or a fewer number of valence electrons than expected on

the basis of its nuclear charge. An electrostatic imbalance then occurs.

If the atom in question finds itself with more valence electrons than expected, then it will

be negatively charged. The atom will probably be inclined to behave as an electron

donor, and this propensity will govern much of its reactivity.

If the atom in question finds itself with fewer valence electrons than expected, then it will

be positively charged. The atom will probably be inclined to behave an electron

acceptor, and again this proclivity will control much of its reactivity.

Because organic reactions are movements of electrons, and because electrons always

move from electrostatically negative sites to positive ones, it is essential to know whether

the bonded state of an atom has created an electrostatic imbalance. This will allow us to

rationalize and predict the reactivity of such an atom, and – by extension – of the

molecule containing that atom.

Enter the formal charge

The formal charge of an atom is a parameter that indicates whether

the atom in question is electrostatically balanced or unbalanced.

The formal charge of an atom in a molecule is easily calculated from the complete Lewis

structure of the molecule (i.e., one that shows all bonding and nonbonding electron pairs).

One simply needs to count how many valence electrons (both bonding and nonbonding)

the atom in question has contributed to the molecule, i.e., how many valence electrons are

formally present around the atom, then decide whether the number of such valence

electrons corresponds to an electrostatic balance or an imbalance

The following examples illustrate how this is done.

Example 1 : the formal charge on the C atom in methane, CH 4

Step 1 : draw a complete Lewis structure of the molecule:

H C H H H H C H H H

Step 2 : count the number of valence electrons around the atom of interest.

Each atom in a bonded pair of atoms has contributed one of its valence electrons

to the electron pair that we call "bond." If we "shatter" the molecule so that each

atom in a bonded pair retrieves one of the two electrons that form the bond (i.e., if

we imagine the homolysis of each bond in the molecule), we will see how many

valence electrons are present around each atom:

H C

H

H

H

"shatter" 4 H + C

Conclusion: the C atom in methane is surrounded by 4 valence electrons

Step 3 : determine whether valence electrons balance the nuclear charge out.

  • Carbon is in group 4 of the periodic table, so it requires 4 valence electrons to

balance the nuclear charge out.

  • The C atom in methane has 4 valence electrons
  • The C atom in methane is electrostatically balanced Conclusion: the formal charge on C in methane is zero

Notice that the formal charge on each H atom is also zero. Indeed, H

atoms in any covalent molecule have always zero formal charge, as

readily determined though the above logic.

Step 2 : count the number of valence electrons around the atom of interest.

H N

H

H

H

"shatter" 4 H + N 4 valence electrons

Step 3 : determine whether valence electrons balance the nuclear charge out.

  • N is in group 5: it needs 5 valence electrons to balance out the nuclear charge.
  • The N atom in NH 4 has 4 valence electrons: 1 fewer than it should.
  • The N atom in NH 4 is electrostatically unbalanced Conclusion: the formal charge on N in NH 4 is + 1

Important: formal charges are integral parts of a chemical structure and must be

clearly indicated. This is done with encircled + or – signs. So, the correct way to

draw NH 4 is:

H N

H

H

H

Notice that the formal positive charge on the N atom is not balanced out by a negative

charge elsewhere in the molecule. Globally, therefore, the NH 4 molecule is positively

charged, i.e., it is a cation. This particular cation is called the ammonium ion.

The algebraic sum of formal charges of individual atoms

in a molecule gives the total charge on the molecule

Why "formal" charge? Rigorously speaking, the + 1 charge present in NH 4 +^ is

delocalized all over the molecule, i.e., each atom (N and 4 H's in this case) bears a share

thereof. For simplicity, however, it is convenient to think of it as if it were localized on

the N atom. That's why one calls it a formal charge: because for chemical reasoning it is

best to think of it as formally residing on the N atom.

Example 4 : the formal charge on the N atoms in hydrazoic acid, H–N=N=N:

H–N 3 = H N N N

"shatter" H (^) N N N group 5 5 val. e– zero group 5 4 val. e– + 1 group 5 6 val. e–

- 1 proper way to draw hydrazoic acid: H–N=N=N or, since it is understood that each atom would have a complete Lewis octet: H–N=N=N

Notice that +1 and – 1 formal charges in HN 3 balance each other out. Overall, the

molecule is electrostatically neutral.

Example 5 : the formal charge on the C atom in the following four molecules:

CH 3 CH 3 CH 3

vacant orbital C

H

H

H C

H

H

H C

H

H

H

C C^ C

  • 1 zero^ –^1 CH 3 CH 3 CH 3

CH 2

C

H

H

C

zero CH 2

Overall: cationic neutral anionic neutral

Called a "carbocation" a "radical" a "carbanion" a "carbene"