## Formal Charge and Lewis Structure

Covalent bonds in a molecule and the overall charge of a molecule can be visualized with Lewis dot structures.

### Learning Objectives

Calculate formal charges on atoms in a compound

### Key Takeaways

#### Key Points

• Lewis structures, also called Lewis dot diagrams, model covalent bonding between atoms. These diagrams use dots around atoms to signify electrons and lines to signify bonds between atoms.
• Lewis structures incorporate an atom’s formal charge, which is the charge on an atom in a molecule, assuming that electrons in a chemical bond are shared equally between atoms.
• When multiple Lewis structures can represent the same compound, the different Lewis formulas are called resonance structures.

#### Key Terms

• formal charge: The charge assigned to an atom in a molecule, assuming that electrons in a chemical bond are shared equally between atoms. This helps determine which of a few Lewis structures is most correct.
• octet rule: Atoms lose, gain, or share electrons in order to have a full valence shell of eight electrons.
• resonance structure: A molecule or polyatomic ion that has multiple Lewis structures because bonding can be shown multiple ways.

### Lewis Structures

Pictorial representations are often used to visualize electrons, as well as any bonding that may occur between atoms in a molecule. In particular, chemists use Lewis structures (also known as Lewis dot diagrams, electron dot diagrams, or electron structures) to represent covalent compounds. In these diagrams, valence electrons are shown as dots that sit around the atom; any bonds that the atoms share are represented by single, double, or triple lines.

The Lewis dot structure of carbon: A typical Lewis structure of carbon, with the valence electrons denoted as dots around the atom.

Generally, most Lewis structures follow the octet rule; they will share electrons until they achieve 8 electrons in their outermost valence shell. However, there are exceptions to the octet rule, such as boron, which is stable with only 6 electrons in its valence shell. The elements hydrogen (H) and helium (He) follow the duet rule, which says their outermost valence shell is full with 2 electrons in it.

### Drawing a Lewis Structure

To draw a Lewis structure, the number of valence electrons on each atom in the compound must be determined. The total number of valence electrons in the entire compound is equal to the sum of the valence electrons of each atom in the compound. Non-valence electrons are not represented when drawing the Lewis structures.

Valence electrons are placed as lone pairs (two electrons) around each atom. Most atoms may have an incomplete octet of electrons. However, atoms can share electrons with each other to fulfill this octet requirement. A bond that shares two electrons is called a single bond and is signified by a straight, horizontal line.

If the octet rule is still not satisfied, atoms may form a double (4 shared electrons) or triple bond (6 shared electrons). Because the bonding pair is shared, the atom that had the lone pair still has an octet, and the other atom gains two or more electrons in its valence shell.

For example, CO2 is a neutral molecule with 16 total valence electrons. In the Lewis structure, carbon should be double-bonded to both oxygen atoms.

The Lewis structure for carbon dioxide: This diagram shows the conceptual stages of drawing the Lewis structure for a molecule of carbon dioxide (CO2).

Lewis structures can also be drawn for ions. In these cases, the entire structure is placed in brackets, and the charge is written as a superscript on the upper right, outside of the bracket.

The Lewis structure for the hydroxide ion: In the hydroxide ion (OH), the entire structure is surrounded by a bracket, and the charge is placed outside the bracket.

### Determining Formal Charge

Although we know how many valence electrons are present in a compound, it is harder to determine around which atoms the electrons actually reside. To assist with this problem, chemists often calculate the formal charge of each atom. The formal charge is the electric charge an atom would have if all the electrons were shared equally.

The formal charge of an atom can be determined by the following formula:

$FC = V - (N + \frac{B}{2})$

In this formula, V represents the number of valence electrons of the atom in isolation, N is the number of non-bonding valence electrons, and B is the total number of electrons in covalent bonds with other atoms in the molecule.

For example, let’s calculate the formal charge on an oxygen atom in a carbon dioxide (CO2) molecule:

FC = 6 valence electrons – (4 non-bonding valence electrons + 4/2 electrons in covalent bonds)

FC = 6 – 6 = 0

The oxygen atom in carbon dioxide has a formal charge of 0.

### Resonance Structures

Sometimes multiple Lewis structures can be drawn to represent the same compound. These equivalent structures are known as resonance structures and involve the shifting of electrons and not of actual atoms. Depending on the compound, the shifting of electrons may cause a change in formal charges. Most often, Lewis structures are drawn so that the the formal charge of each atom is minimized.

Resonance structures: Two of the contributing structures of nitrogen dioxide (NO2). Both formulas represent the same number of atoms and electrons, just in a slightly different conformation.

## Resonance

Resonance structures depict possible electronic configurations; the actual configuration is a combination of the possible variations.

### Learning Objectives

Describe how to draw resonance structures for compounds

### Key Takeaways

#### Key Points

• Lewis dot diagrams are often employed to visualize the covalent bonding between atoms in a compound. However, when multiple equally valid structures can be drawn, these structures are called resonance structures.
• Resonance structures have the same number of electrons and therefore have the same overall charge.
• Resonance structures differ only in the arrangement of electrons; the atoms keep the same connectivity and arrangement.

#### Key Terms

• resonance: A property of a compound that can be visualized as having multiple structures differing only in the distribution of electrons.
• resonance structure: A way of describing delocalized electrons within certain molecules or polyatomic ions where the bonding cannot be expressed by a single Lewis structure.

Lewis dot structures can be drawn to visualize the electrons and bonds of a certain molecule. However, for some molecules not all the bonding possibilities cannot be represented by a single Lewis structure; these molecules have several contributing or “resonance” structures. In chemistry terms, resonance describes the fact that electrons are delocalized, or flow freely through the molecule, which allows multiple structures to be possible for a given molecule.

Each contributing resonance structure can be visualized by drawing a Lewis structure; however, it is important to note that each of these structures cannot actually be observed in nature. That is, the molecule does not actually go back and forth between these configurations; rather, the true structure is an approximate intermediate between each of the structures. This intermediate has an overall lower energy than each of the possible configurations and is referred to as a resonance hybrid. It is important to note that the difference between each structure lies in the location of the electrons and not in the arrangement of the atoms.

### More Than One Valid Lewis Structure

For example, the nitrate ion, NO3, has more than one valid Lewis structure. The structure contains two N-O single bonds and one N=O double bond. But the question then remains as to which oxygen should be involved in the double bond. Therefore, three valid resonance structures can be drawn. Double-ended arrows are used to indicate that the structures are chemically equivalent. Again, in reality, the electronic configuration does not change between the three structures; rather, it has one structure in which the extra electrons are distributed evenly. These fractional bonds are sometimes depicted by dashed arrows, which show that the electron density is spread out throughout the compound.

Resonance structures of the nitrate ion: The nitrate ion has three valid contributing structures that vary according to the placement of the electrons.

### Drawing Resonance Structures

When you are drawing resonance structures, it is important to remember to shift only the electrons; the atoms must have the same position. Sometimes, resonance structures involve the placement of positive and negative charges on specific atoms. Because atoms with electric charges are not as stable as atoms without electric charges, these resonance structures will contribute less to the overall resonance structure than a structure with no charges.

Chemistry 4.4 More on Covalent Bonding – YouTube: This lesson discusses coordinate covalent bonds and resonance structures.