Published By Vishal Goyal | Last updated: December 29, 2022

How to calculate formal charges of ozone (O3) with lewis structure?
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In covalently bonded molecules, formal charge is the charge assigned to an atom based on the assumption that the bonded electrons are equally shared between concerning atoms, regardless of their electronegativity.
The overall formal charge present on a molecule is a measure of its stability.
The fewer the formal charges present on the bonded atoms in a molecule (close to zero), the greater the stability of its Lewis structure.
In this article, we will calculate the formal charges present on bonded atoms in the different resonance structures of ozone (O 3 ) and also in its best possible Lewis structure. We will also determine the overall charge present on O 3 .
So for all this interesting information, continue reading!
Page Contents show 1 How to calculate the formal charges on O3 atoms? 2 FAQ 3 Summary
How to calculate the formal charges on O 3 atoms?
The formal charges can be calculated using the formula given below:

The formal charge of an atom = [valence electrons of an atom – non-bonding electrons – ½ (bonding electrons)]
- The valence electrons (V.E) of an atom are the total number of electrons present in its valence shell. Valence electrons can be determined by locating the position of the elemental atom in the Periodic Table.
- Non-bonding electrons (N.E) are the number of lone pairs present on the atom. (1 lone pair means 2 nonbonding electrons).
- Bonding electrons (B.E) are the total electrons shared with the atom via covalent chemical bonds. (1 single bond means 2 bonding electrons).
Now let us use this formula and the ozone Lewis structure is given below to determine the formal charges on three bonded oxygen (O) atoms in O 3 .

The above Lewis structure displays a total of 18 valence electrons. An oxygen (O) atom is present at the center. It is bonded to 2 other O-atoms via a single and a double covalent bond, respectively.
The central O-atom contains 1 lone pair of electrons. The single-bonded O-atom contains 3 lone pairs, while 2 lone pairs are present on the double-bonded O-atom.
Let’s find out how we can determine the formal charges present on each atom in the ozone (O 3 ) Lewis structure.
For the central Oxygen atom

- Valence electrons of Oxygen = It is present in Group VI A = 6 valence electrons
- Bonding electrons = 1 double bond + 1 single bond = 1(4) + 1(2) = 6 electrons
- Non-bonding electrons = One lone pair = 2 electrons
- Formal charge on the central Oxygen atom = 6 – 2 – 6/2 = 6 – 2 – 3 = 6 – 5 = +1
∴ The formal charge on the central O-atom in O 3 is +1.
For double-bonded oxygen atom

- Bonding electrons = 1 double bond = 4 electrons
- Non-bonding electrons = 2 lone pairs = 2(2) = 4 electrons
- Formal charge on the double bonded Oxygen atom = 6 – 4 –4/2 = 6 – 4 – 2 = 6 –6 = 0
∴ The formal charge on the double-bonded O-atom in O 3 is 0.
For each single-bonded oxygen atom

- Bonding electrons = 1 single bond = 2 electrons
- Non-bonding electrons = 3 lone pairs = 3(2) = 6 electrons
- Formal charge on the single bonded Oxygen atom = 6 – 6 – 2/2 = 6 – 6 – 1 = 6 –7 = -1
∴ The formal charge on the single-bonded O-atom in O 3 is -1.
This calculation shows that zero formal charges are present on double-bonded O-atom in O 3 . However, a +1 and a -1 formal charge is present on the other two O-atoms.

A +1 formal charge cancels with -1; therefore, the overall charge present on the molecule is zero.

The actual O 3 structure is a hybrid of the following resonance structures. Each resonance structure is equivalent. It is due to the presence of formal charges on the bonded atoms that the double bond keeps shifting from one position to another to give the best possible O 3 Lewis representation, as shown below.

You must keep in mind that a double bond cannot be formed on both sides of the central O-atom at any one time in the O 3 Lewis structure.
This is because oxygen can accommodate only a total of 8 electrons in its valence shell, unlike sulfur or phosphorus atoms that have an expanded octet.
Also, check –
- How to draw O 3 lewis structure?
- Formal charge calculator
- SO 3 formal charge
- CO 2 formal charge
- HCN formal charge
- SO 4 2- formal charge
- PO 4 3- formal charge
- SO 3 2- formal charge
- CN – formal charge
- SO 2 formal charge
- ClO 3 – formal charge
- SCN – formal charge
- POCl 3 formal charge
- NH 3 formal charge
- CO formal charge
- H 2 O formal charge
- NH 4 + formal charge
- H 3 O + formal charge
- OH – formal charge
- HSO 4 – formal charge
- ClO – formal charge
- BH 4 – formal charge
- N 3 – formal charge
- H 2 SO 4 formal charge
- NCO – formal charge
- NO 3 – formal charge
- NO 2 – formal charge
- CH 3 formal charge
- The best possible Lewis structure of a molecule is the one in which the bonded atoms carry formal charges as close to zero as possible.
- The formal charge formula is [ V.E – N.E – B.E/2].
- In O 3 , a +1 formal charge is present on the central O-atom.
- The double-bonded O-atom also has zero formal charges in O 3 .
- The single-bonded O-atoms have a -1 formal charge in O 3 .
- The overall formal charge on O 3 is also zero as +1 cancels with -1.
About the author

Vishal Goyal
Vishal Goyal is the founder of Topblogtenz, a comprehensive resource for students seeking guidance and support in their chemistry studies. He holds a degree in B.Tech (Chemical Engineering) and has four years of experience as a chemistry tutor. The team at Topblogtenz includes experts like experienced researchers, professors, and educators, with the goal of making complex subjects like chemistry accessible and understandable for all. A passion for sharing knowledge and a love for chemistry and science drives the team behind the website. Let's connect through LinkedIn: https://www.linkedin.com/in/vishal-goyal-2926a122b/
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How to calculate formal charge

Table of Contents
How to calculate formal charge Examples
ot all atoms within a neutral molecule need be neutral. An atom can have the following charges: positive , negative , or neutral , depending on the electron distribution. This is often useful for understanding or predicting reactivity. Identifying formal charges helps you keep track of the electrons.
The formal charge is the charge on the atom in the molecule. The term “formal” means that this charge is not necessarily on the presented atom because in some cases, it is also prevalent on other atoms present in the molecule. It is actually spread out through the other atoms and is not only on the one atom. Identifying a formal charge involves:
- Determining the appropriate number of valence electrons for an atom – This can be accomplished by inspecting the periodic table. The group number indicates the appropriate number of valence electrons for each atom
- Determining whether the atom exhibits the appropriate number of electrons – In the Lewis structure, determine whether some of the atoms show an unexpected number of electrons
The formal charge on an atom can be calculated using the following mathematical equation.

Lewis structures also show how atoms in the molecule are bonded. They can be drawn as lines (bonds) or dots (electrons). One line corresponds to two electrons . The nonbonding electrons, on the other hand, are the unshared electrons and these are shown as dots. One dot is equal to one nonbonding electron. The valence electrons are the electrons in the outermost shell of the atom.

CH 4 , methane

A number of non-bonding electrons: 0 for both H and C
[ Formal charge ] H = 1 – (1/2) × 2 – 0 = 0 ⇒ This applies to each hydrogen. These hydrogens are all zero.
[ Formal charge ] C = 4 – (1/2) × 8 – 0 = 0
⇒ This molecule is neutral .
CH 3 + , methyl cation

[ Formal charge ] H = 1 – (1/2) × 2 – 0 = 0 ⇒ This applies to each hydrogen. These hydrogens are all zero. [ Formal charge ] C = 4 – (1/2) × 6 – 0 = 4 – 3 – 0 = +1
⇒ This is a cation .
CH 3 – , methyl cation

A number of non-bonding electrons: 0 for H, 2 for C
[ Formal charge ] C = 4 – (1/2) × 6 – 2 = 4 – 3 – 2 = -1
⇒ This is a anion .
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Calculating O3 Formal Charges - Calculating formal charges for o3 - Ozone

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In order to calculate the formal charges for O3 we'll use the equation Formal charge = [# of valence electrons] [nonbonding val electrons] [bonding elect... ...
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if(typeof ez_ad_units!='undefined'){ez_ad_units.push([[728,90],'lambdageeks_com-box-2','ezslot_7',864,'0','0'])};__ez_fad_position('div-gpt-ad-lambdageeks_com-box-2-0'); O3 Lewis Structure: Drawings, Hybridization, Shape, Charges, Pair, And Detailed Facts
This article illustrates the o3 lewis structure , How to draw the lewis structure, hybridization, shapes, charges, and some other properties of the o3 lewis structure.
The highly reactive gas ozone (o3) naturally exists in our atmosphere.
How to draw lewis structure for O3?
Draw the o3 lewis structure using different steps:
Step 1: calculate the total no. of Valence electron in the o3 lewis structure:
Step 2: draw the skeleton of the given molecule and find the central atom:, step 3: assign the valence electron:.
Thus total valence electrons are 18 in the o3 lewis structure molecule, assign them in between the three atoms of o3 with the help of dots. Complete the octet of each atom that is around the central atom.
Step 5: Perform the following octet for the central atom:
O3 lewis structure shape.
Due to the distortion in the o3 lewis structure , the O3 molecule shape is frequently said to be bent.
O3 lewis structure formal charges
The formal charge on O: 6-2-½ (6)= 1, thus the formal charge on o3 lewis structure is +1 on the central oxygen atomSimilarly, two adjacent oxygen atoms carry (-½ ) partial negative charge, and central oxygen carries +1 formal charge as shown in the figure below.
O3 lewis structure lone pairs
O3 hybridization.
Hybridization refers to joining two or more atomic levels with the same or different energies to form a new orbital. Ozone has only one central oxygen atom with eight electrons in its outermost shell.
O3 lewis structure resonance
Except for the placement of the electrons, these Lewis structures are identical.
From a stability standpoint, these structures are identical because each has a positive and negative formal charge on two oxygen atoms.
O3 lewis structure octet rule
O3 polar or nonpolar.
The ozone molecule is thought to be polar because the lone electron pair produces a net dipole. The typical dipole moment value changes in an ozone molecule, and the molecule contains partial positive and negative charges.
O3 lewis structure bond angle
A double bond exists between the central oxygen atom and one of the lateral oxygen atoms in the O3 Lewis structure. In the O3 Lewis structure, a double bond exists between the central oxygen atom and one of the lateral oxygen atoms .
O3 lewis structure electron geometry
But the molecular geometry is bent.
O3 valence electrons
To calculate the total number of valence electrons provided by a given element, multiply the number of electrons in the valance shell by the number of atoms in that element.
An oxygen atom has six electrons in its valence shell. There are three oxygen atoms in an O3 molecule. As a result, the ozone molecule has a total of 18 valence electrons.

Conclusion:
Related posts, sn2 examples: detailed insights and facts, stereoselective vs stereospecific: detailed insights and facts.
What is the Charge of O3 (Ozone)? And Why? if(typeof ez_ad_units!='undefined'){ez_ad_units.push([[468,60],'knordslearning_com-box-3','ezslot_5',132,'0','0'])};__ez_fad_position('div-gpt-ad-knordslearning_com-box-3-0');
So let’s calculate the formal charge of O3 (Ozone).
Calculating the formal charge of O3 using lewis structure
Formal charge = Valence electrons – Nonbonding electrons – (Bonding electrons)/2
Formal charge on left Oxygen = Valence electrons – Nonbonding electrons – (Bonding electrons)/2 = 6 – 4 – (4/2) = 0
So the formal charge on left oxygen atom is 0.
So according to the formula of formal charge, you will get;
Formal charge on right Oxygen = Valence electrons – Nonbonding electrons – (Bonding electrons)/2 = 6 – 6 – (2/2) = 1-
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- Formal Charge

How do you calculate the formal charge of ${{O}_{3}}$ ?

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What are the formal charges in O 3 (ozone)?
Formal charge: the formal charge of an atom in a molecule is the charge which might exist on the atom if all bonding electrons were evenly shared. a formal charge value is equal to an atom's valence electrons deducting the number of electrons given to it. f . c . = [ total no . of valence e – in free state ] – [ total no . of non - bonding pair e – ( lone pair ) ] – 1 2 [ total no . of bonding e – ] structure of ozone: ozone has a dipole moment of 0 . 53 d and thus a polar molecule. the molecule can be described as a resonance hybrid with significant contributing structures, one with a single bond on one side and the other with a double bond. both sides have an overall bond order of 1 . 5 in this arrangement. formal charge in o 3 ( ozone): in an o 3 molecule, the formal charge on the middle oxygen atom( 2 ) is + 1 . f . c = 6 – 2 – 1 2 ( 6 ) f . c = 6 – 5 f . c = 1 in an o 3 molecule, the formal charge on the left oxygen atom( 3 ) is - 1 . f . c = 6 – 6 – 1 2 ( 2 ) f . c = 6 - 7 f . c = - 1 in an o 3 molecule, the formal charge on the right oxygen atom( 1 ) is 0 . f . c = 6 – 4 – 1 2 ( 4 ) f . c = 6 – 6 f . c = 0.

The formal charge on oxygen which is single bonded in ozone is:


Want to create or adapt books like this? Learn more about how Pressbooks supports open publishing practices.
Chemical Bonding and Molecular Geometry
Formal Charges and Resonance
OpenStaxCollege
[latexpage]
Learning Objectives
By the end of this section, you will be able to:
- Compute formal charges for atoms in any Lewis structure
- Use formal charges to identify the most reasonable Lewis structure for a given molecule
- Explain the concept of resonance and draw Lewis structures representing resonance forms for a given molecule
In the previous section, we discussed how to write Lewis structures for molecules and polyatomic ions. As we have seen, however, in some cases, there is seemingly more than one valid structure for a molecule. We can use the concept of formal charges to help us predict the most appropriate Lewis structure when more than one is reasonable.
Calculating Formal Charge
The formal charge of an atom in a molecule is the hypothetical charge the atom would have if we could redistribute the electrons in the bonds evenly between the atoms. Another way of saying this is that formal charge results when we take the number of valence electrons of a neutral atom, subtract the nonbonding electrons, and then subtract the number of bonds connected to that atom in the Lewis structure.
Thus, we calculate formal charge as follows:
We can double-check formal charge calculations by determining the sum of the formal charges for the whole structure. The sum of the formal charges of all atoms in a molecule must be zero; the sum of the formal charges in an ion should equal the charge of the ion.
We must remember that the formal charge calculated for an atom is not the actual charge of the atom in the molecule. Formal charge is only a useful bookkeeping procedure; it does not indicate the presence of actual charges.
Calculating Formal Charge from Lewis Structures Assign formal charges to each atom in the interhalogen ion \({\text{ICl}}_{4}{}^{\text{−}}.\)

- We assign lone pairs of electrons to their atoms . Each Cl atom now has seven electrons assigned to it, and the I atom has eight.
I: 7 – 8 = –1
Cl: 7 – 7 = 0
Check Your Learning Calculate the formal charge for each atom in the carbon monoxide molecule:

Calculating Formal Charge from Lewis Structures Assign formal charges to each atom in the interhalogen molecule BrCl 3 .

- Assign the lone pairs to their atom. Now each Cl atom has seven electrons and the Br atom has seven electrons.
Br: 7 – 7 = 0
Check Your Learning Determine the formal charge for each atom in NCl 3 .
N: 0; all three Cl atoms: 0

Using Formal Charge to Predict Molecular Structure
The arrangement of atoms in a molecule or ion is called its molecular structure . In many cases, following the steps for writing Lewis structures may lead to more than one possible molecular structure—different multiple bond and lone-pair electron placements or different arrangements of atoms, for instance. A few guidelines involving formal charge can be helpful in deciding which of the possible structures is most likely for a particular molecule or ion:
- A molecular structure in which all formal charges are zero is preferable to one in which some formal charges are not zero.
- If the Lewis structure must have nonzero formal charges, the arrangement with the smallest nonzero formal charges is preferable.
- Lewis structures are preferable when adjacent formal charges are zero or of the opposite sign.
- When we must choose among several Lewis structures with similar distributions of formal charges, the structure with the negative formal charges on the more electronegative atoms is preferable.
To see how these guidelines apply, let us consider some possible structures for carbon dioxide, CO 2 . We know from our previous discussion that the less electronegative atom typically occupies the central position, but formal charges allow us to understand why this occurs. We can draw three possibilities for the structure: carbon in the center and double bonds, carbon in the center with a single and triple bond, and oxygen in the center with double bonds:

Comparing the three formal charges, we can definitively identify the structure on the left as preferable because it has only formal charges of zero (Guideline 1).
As another example, the thiocyanate ion, an ion formed from a carbon atom, a nitrogen atom, and a sulfur atom, could have three different molecular structures: CNS – , NCS – , or CSN – . The formal charges present in each of these molecular structures can help us pick the most likely arrangement of atoms. Possible Lewis structures and the formal charges for each of the three possible structures for the thiocyanate ion are shown here:

Note that the sum of the formal charges in each case is equal to the charge of the ion (–1). However, the first arrangement of atoms is preferred because it has the lowest number of atoms with nonzero formal charges (Guideline 2). Also, it places the least electronegative atom in the center, and the negative charge on the more electronegative element (Guideline 4).
Using Formal Charge to Determine Molecular Structure Nitrous oxide, N 2 O, commonly known as laughing gas, is used as an anesthetic in minor surgeries, such as the routine extraction of wisdom teeth. Which is the likely structure for nitrous oxide?

Solution Determining formal charge yields the following:

The structure with a terminal oxygen atom best satisfies the criteria for the most stable distribution of formal charge:

The number of atoms with formal charges are minimized (Guideline 2), and there is no formal charge larger than one (Guideline 2). This is again consistent with the preference for having the less electronegative atom in the central position.
Check Your Learning Which is the most likely molecular structure for the nitrite \(\left({\text{NO}}_{2}{}^{\text{−}}\right)\) ion?

You may have noticed that the nitrite anion in [link] can have two possible structures with the atoms in the same positions. The electrons involved in the N–O double bond, however, are in different positions:

If nitrite ions do indeed contain a single and a double bond, we would expect for the two bond lengths to be different. A double bond between two atoms is shorter (and stronger) than a single bond between the same two atoms. Experiments show, however, that both N–O bonds in \({\text{NO}}_{2}{}^{\text{−}}\) have the same strength and length, and are identical in all other properties.
It is not possible to write a single Lewis structure for \({\text{NO}}_{2}{}^{\text{−}}\) in which nitrogen has an octet and both bonds are equivalent. Instead, we use the concept of resonance : if two or more Lewis structures with the same arrangement of atoms can be written for a molecule or ion, the actual distribution of electrons is an average of that shown by the various Lewis structures. The actual distribution of electrons in each of the nitrogen-oxygen bonds in \({\text{NO}}_{2}{}^{\text{−}}\) is the average of a double bond and a single bond. We call the individual Lewis structures resonance forms . The actual electronic structure of the molecule (the average of the resonance forms) is called a resonance hybrid of the individual resonance forms. A double-headed arrow between Lewis structures indicates that they are resonance forms. Thus, the electronic structure of the \({\text{NO}}_{2}{}^{\text{−}}\) ion is shown as:

We should remember that a molecule described as a resonance hybrid never possesses an electronic structure described by either resonance form. It does not fluctuate between resonance forms; rather, the actual electronic structure is always the average of that shown by all resonance forms. George Wheland, one of the pioneers of resonance theory, used a historical analogy to describe the relationship between resonance forms and resonance hybrids. A medieval traveler, having never before seen a rhinoceros, described it as a hybrid of a dragon and a unicorn because it had many properties in common with both. Just as a rhinoceros is neither a dragon sometimes nor a unicorn at other times, a resonance hybrid is neither of its resonance forms at any given time. Like a rhinoceros, it is a real entity that experimental evidence has shown to exist. It has some characteristics in common with its resonance forms, but the resonance forms themselves are convenient, imaginary images (like the unicorn and the dragon).
The carbonate anion, \({\text{CO}}_{3}{}^{\text{2−}},\) provides a second example of resonance:

One oxygen atom must have a double bond to carbon to complete the octet on the central atom. All oxygen atoms, however, are equivalent, and the double bond could form from any one of the three atoms. This gives rise to three resonance forms of the carbonate ion. Because we can write three identical resonance structures, we know that the actual arrangement of electrons in the carbonate ion is the average of the three structures. Again, experiments show that all three C–O bonds are exactly the same.

The online Lewis Structure Make includes many examples to practice drawing resonance structures.
Key Concepts and Summary
In a Lewis structure, formal charges can be assigned to each atom by treating each bond as if one-half of the electrons are assigned to each atom. These hypothetical formal charges are a guide to determining the most appropriate Lewis structure. A structure in which the formal charges are as close to zero as possible is preferred. Resonance occurs in cases where two or more Lewis structures with identical arrangements of atoms but different distributions of electrons can be written. The actual distribution of electrons (the resonance hybrid) is an average of the distribution indicated by the individual Lewis structures (the resonance forms).
Key Equations
- \(\text{formal charge}\phantom{\rule{0.2em}{0ex}}=\text{# valence shell electrons (free atom)}\phantom{\rule{0.1em}{0ex}}-\phantom{\rule{0.2em}{0ex}}\text{# one pair electrons}\phantom{\rule{0.2em}{0ex}}-\phantom{\rule{0.2em}{0ex}}\frac{1}{2}\phantom{\rule{0.3em}{0ex}}\text{# bonding electrons}\)
Chemistry End of Chapter Exercises
Write resonance forms that describe the distribution of electrons in each of these molecules or ions.
(a) selenium dioxide, OSeO
(b) nitrate ion, \({\text{NO}}_{3}{}^{\text{−}}\)
(c) nitric acid, HNO 3 (N is bonded to an OH group and two O atoms)
(d) benzene, C 6 H 6 :

(e) the formate ion:

(a) sulfur dioxide, SO 2
(b) carbonate ion, \({\text{CO}}_{3}{}^{\text{2−}}\)
(c) hydrogen carbonate ion, \({\text{HCO}}_{3}{}^{\text{−}}\) (C is bonded to an OH group and two O atoms)
(d) pyridine:

(e) the allyl ion:

Write the resonance forms of ozone, O 3 , the component of the upper atmosphere that protects the Earth from ultraviolet radiation.
Sodium nitrite, which has been used to preserve bacon and other meats, is an ionic compound. Write the resonance forms of the nitrite ion, \({\text{NO}}_{\text{2}}{}^{\text{–}}\text{.}\)

In terms of the bonds present, explain why acetic acid, CH 3 CO 2 H, contains two distinct types of carbon-oxygen bonds, whereas the acetate ion, formed by loss of a hydrogen ion from acetic acid, only contains one type of carbon-oxygen bond. The skeleton structures of these species are shown:

Write the Lewis structures for the following, and include resonance structures where appropriate. Indicate which has the strongest carbon-oxygen bond.

Toothpastes containing sodium hydrogen carbonate (sodium bicarbonate) and hydrogen peroxide are widely used. Write Lewis structures for the hydrogen carbonate ion and hydrogen peroxide molecule, with resonance forms where appropriate.
Determine the formal charge of each element in the following:
(a) H: 0, Cl: 0; (b) C: 0, F: 0; (c) P: 0, Cl 0; (d) P: 0, F: 0
(a) H 3 O +
(b) \({\text{SO}}_{4}{}^{\text{2−}}\)
(d) \({\text{O}}_{2}{}^{\text{2−}}\)
(e) H 2 O 2
Calculate the formal charge of chlorine in the molecules Cl 2 , BeCl 2 , and ClF 5 .
Cl in Cl 2 : 0; Cl in BeCl 2 : 0; Cl in ClF 5 : 0
Calculate the formal charge of each element in the following compounds and ions:
(c) \({\text{BF}}_{4}{}^{\text{−}}\)
(d) \({\text{SnCl}}_{3}{}^{\text{−}}\)
(e) H 2 CCH 2
(h) \({\text{PO}}_{4}{}^{\text{3−}}\)
Draw all possible resonance structures for each of these compounds. Determine the formal charge on each atom in each of the resonance structures:
(c) \({\text{NO}}_{2}{}^{\text{−}}\)
(d) \({\text{NO}}_{3}{}^{\text{−}}\)

Based on formal charge considerations, which of the following would likely be the correct arrangement of atoms in nitrosyl chloride: ClNO or ClON?
Based on formal charge considerations, which of the following would likely be the correct arrangement of atoms in hypochlorous acid: HOCl or OClH?
Based on formal charge considerations, which of the following would likely be the correct arrangement of atoms in sulfur dioxide: OSO or SOO?
Draw the structure of hydroxylamine, H 3 NO, and assign formal charges; look up the structure. Is the actual structure consistent with the formal charges?
The structure that gives zero formal charges is consistent with the actual structure:

Iodine forms a series of fluorides (listed here). Write Lewis structures for each of the four compounds and determine the formal charge of the iodine atom in each molecule:
Write the Lewis structure and chemical formula of the compound with a molar mass of about 70 g/mol that contains 19.7% nitrogen and 80.3% fluorine by mass, and determine the formal charge of the atoms in this compound.

Which of the following structures would we expect for nitrous acid? Determine the formal charges:

Sulfuric acid is the industrial chemical produced in greatest quantity worldwide. About 90 billion pounds are produced each year in the United States alone. Write the Lewis structure for sulfuric acid, H 2 SO 4 , which has two oxygen atoms and two OH groups bonded to the sulfur.

Formal Charges and Resonance by OpenStaxCollege is licensed under a Creative Commons Attribution 4.0 International License , except where otherwise noted.
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Organic chemistry
Unit 2: lesson 1.
- Comparing formal charges to oxidation states
- Formal charge on carbon
- Formal charge on nitrogen
Formal charge on oxygen
- Oxidation states of carbon
- Organic oxidation-reduction reactions
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Video transcript
Module 7: Chemical Bonding and Molecular Geometry
Formal charges and resonance, learning outcomes.
- Compute formal charges for atoms in any Lewis structure
- Use formal charges to identify the most reasonable Lewis structure for a given molecule
- Explain the concept of resonance and draw Lewis structures representing resonance forms for a given molecule
In the previous section, we discussed how to write Lewis structures for molecules and polyatomic ions. As we have seen, however, in some cases, there is seemingly more than one valid structure for a molecule. We can use the concept of formal charges to help us predict the most appropriate Lewis structure when more than one is reasonable.
Calculating Formal Charge
The formal charge of an atom in a molecule is the hypothetical charge the atom would have if we could redistribute the electrons in the bonds evenly between the atoms. Another way of saying this is that formal charge results when we take the number of valence electrons of a neutral atom, subtract the nonbonding electrons, and then subtract the number of bonds connected to that atom in the Lewis structure.
Thus, we calculate formal charge as follows:
[latex]\text{formal charge}=\text{# valence shell electrons (free atom)}-\text{# lone pair electrons}-\dfrac{1}{2}\text{# bonding electrons}[/latex]
We can double-check formal charge calculations by determining the sum of the formal charges for the whole structure. The sum of the formal charges of all atoms in a molecule must be zero; the sum of the formal charges in an ion should equal the charge of the ion.
We must remember that the formal charge calculated for an atom is not the actual charge of the atom in the molecule. Formal charge is only a useful bookkeeping procedure; it does not indicate the presence of actual charges.
Example 1: Calculating Formal Charge from Lewis Structures
Assign formal charges to each atom in the interhalogen ion [latex]{\text{ICl}}_{4}^{-}.[/latex]

- We assign lone pairs of electrons to their atoms . Each Cl atom now has seven electrons assigned to it, and the I atom has eight.
- Subtract this number from the number of valence electrons for the neutral atom: I: 7 – 8 = –1 Cl: 7 – 7 = 0 The sum of the formal charges of all the atoms equals –1, which is identical to the charge of the ion (–1).
Check Your Learning
Calculate the formal charge for each atom in the carbon monoxide molecule:

Example 2: Calculating Formal Charge from Lewis Structures
Assign formal charges to each atom in the interhalogen molecule BrCl 3 .

- Assign the lone pairs to their atom. Now each Cl atom has seven electrons and the Br atom has seven electrons.
- Subtract this number from the number of valence electrons for the neutral atom. This gives the formal charge:Br: 7 – 7 = 0Cl: 7 – 7 = 0All atoms in BrCl 3 have a formal charge of zero, and the sum of the formal charges totals zero, as it must in a neutral molecule.
Determine the formal charge for each atom in NCl 3 .

Using Formal Charge to Predict Molecular Structure
The arrangement of atoms in a molecule or ion is called its molecular structure . In many cases, following the steps for writing Lewis structures may lead to more than one possible molecular structure—different multiple bond and lone-pair electron placements or different arrangements of atoms, for instance. A few guidelines involving formal charge can be helpful in deciding which of the possible structures is most likely for a particular molecule or ion:
- A molecular structure in which all formal charges are zero is preferable to one in which some formal charges are not zero.
- If the Lewis structure must have nonzero formal charges, the arrangement with the smallest nonzero formal charges is preferable.
- Lewis structures are preferable when adjacent formal charges are zero or of the opposite sign.
- When we must choose among several Lewis structures with similar distributions of formal charges, the structure with the negative formal charges on the more electronegative atoms is preferable.
To see how these guidelines apply, let us consider some possible structures for carbon dioxide, CO 2 . We know from our previous discussion that the less electronegative atom typically occupies the central position, but formal charges allow us to understand why this occurs. We can draw three possibilities for the structure: carbon in the center and double bonds, carbon in the center with a single and triple bond, and oxygen in the center with double bonds:

Comparing the three formal charges, we can definitively identify the structure on the left as preferable because it has only formal charges of zero (Guideline 1).
As another example, the thiocyanate ion, an ion formed from a carbon atom, a nitrogen atom, and a sulfur atom, could have three different molecular structures: CNS – , NCS – , or CSN – . The formal charges present in each of these molecular structures can help us pick the most likely arrangement of atoms. Possible Lewis structures and the formal charges for each of the three possible structures for the thiocyanate ion are shown here:

Note that the sum of the formal charges in each case is equal to the charge of the ion (–1). However, the first arrangement of atoms is preferred because it has the lowest number of atoms with nonzero formal charges (Guideline 2). Also, it places the least electronegative atom in the center, and the negative charge on the more electronegative element (Guideline 4).
Example 3: Using Formal Charge to Determine Molecular Structure
Nitrous oxide, N 2 O, commonly known as laughing gas, is used as an anesthetic in minor surgeries, such as the routine extraction of wisdom teeth. Which is the likely structure for nitrous oxide?

Determining formal charge yields the following:

The structure with a terminal oxygen atom best satisfies the criteria for the most stable distribution of formal charge:

The number of atoms with formal charges are minimized (Guideline 2), and there is no formal charge larger than one (Guideline 2). This is again consistent with the preference for having the less electronegative atom in the central position.
Which is the most likely molecular structure for the nitrite [latex]\left({\text{NO}}_{2}^{-}\right)[/latex] ion?

If nitrite ions do indeed contain a single and a double bond, we would expect for the two bond lengths to be different. A double bond between two atoms is shorter (and stronger) than a single bond between the same two atoms. Experiments show, however, that both N–O bonds in [latex]{\text{NO}}_{2}^{-}[/latex] have the same strength and length, and are identical in all other properties.
It is not possible to write a single Lewis structure for [latex]{\text{NO}}_{2}^{-}[/latex] in which nitrogen has an octet and both bonds are equivalent. Instead, we use the concept of resonance : if two or more Lewis structures with the same arrangement of atoms can be written for a molecule or ion, the actual distribution of electrons is an average of that shown by the various Lewis structures. The actual distribution of electrons in each of the nitrogen-oxygen bonds in [latex]{\text{NO}}_{2}^{-}[/latex] is the average of a double bond and a single bond. We call the individual Lewis structures resonance forms . The actual electronic structure of the molecule (the average of the resonance forms) is called a resonance hybrid of the individual resonance forms. A double-headed arrow between Lewis structures indicates that they are resonance forms. Thus, the electronic structure of the [latex]{\text{NO}}_{2}^{-}[/latex] ion is shown as:
We should remember that a molecule described as a resonance hybrid never possesses an electronic structure described by either resonance form. It does not fluctuate between resonance forms; rather, the actual electronic structure is always the average of that shown by all resonance forms. George Wheland, one of the pioneers of resonance theory, used a historical analogy to describe the relationship between resonance forms and resonance hybrids. A medieval traveler, having never before seen a rhinoceros, described it as a hybrid of a dragon and a unicorn, because it had many properties in common with both. Just as a rhinoceros is neither a dragon sometimes nor a unicorn at other times, a resonance hybrid is neither of its resonance forms at any given time. Like a rhinoceros, it is a real entity that experimental evidence has shown to exist. It has some characteristics in common with its resonance forms, but the resonance forms themselves are convenient, imaginary images (like the unicorn and the dragon).

One oxygen atom must have a double bond to carbon to complete the octet on the central atom. All oxygen atoms, however, are equivalent, and the double bond could form from any one of the three atoms. This gives rise to three resonance forms of the carbonate ion. Because we can write three identical resonance structures, we know that the actual arrangement of electrons in the carbonate ion is the average of the three structures. Again, experiments show that all three C–O bonds are exactly the same.
You can view the transcript for “Resonance” here (opens in new window) .
Key Concepts and Summary
In a Lewis structure, formal charges can be assigned to each atom by treating each bond as if one-half of the electrons are assigned to each atom. These hypothetical formal charges are a guide to determining the most appropriate Lewis structure. A structure in which the formal charges are as close to zero as possible is preferred. Resonance occurs in cases where two or more Lewis structures with identical arrangements of atoms but different distributions of electrons can be written. The actual distribution of electrons (the resonance hybrid) is an average of the distribution indicated by the individual Lewis structures (the resonance forms).
Key Equations
- [latex]\text{formal charge}=\text{# valence shell electrons (free atom)}-\text{# one pair electrons}-\dfrac{1}{2}\text{# bonding electrons}[/latex]
- selenium dioxide, OSeO
- nitrate ion, [latex]{\text{NO}}_{3}^{-}[/latex]
- nitric acid, HNO 3 (N is bonded to an OH group and two O atoms)

- sulfur dioxide, SO 2
- carbonate ion, [latex]{\text{CO}}_{3}^{2-}[/latex]
- hydrogen carbonate ion, [latex]{\text{HCO}}_{3}^{-}[/latex] (C is bonded to an OH group and two O atoms)

- Write the resonance forms of ozone, O 3 , the component of the upper atmosphere that protects the Earth from ultraviolet radiation.
- Sodium nitrite, which has been used to preserve bacon and other meats, is an ionic compound. Write the resonance forms of the nitrite ion, [latex]{\text{NO}}_{\text{2}}^{-}.[/latex]

- Toothpastes containing sodium hydrogen carbonate (sodium bicarbonate) and hydrogen peroxide are widely used. Write Lewis structures for the hydrogen carbonate ion and hydrogen peroxide molecule, with resonance forms where appropriate.
- [latex]{\text{SO}}_{4}^{2-}[/latex]
- [latex]{\text{O}}_{2}^{2-}[/latex] (e) H 2 O 2
- Calculate the formal charge of chlorine in the molecules Cl 2 , BeCl 2 , and ClF 5 .
- [latex]{\text{BF}}_{4}^{-}[/latex]
- [latex]{\text{SnCl}}_{3}^{-}[/latex]
- [latex]{\text{PO}}_{4}^{\text{3-}}[/latex]
- [latex]{\text{NO}}_{2}^{-}[/latex]
- [latex]{\text{NO}}_{3}^{-}[/latex]
- Based on formal charge considerations, which of the following would likely be the correct arrangement of atoms in nitrosyl chloride: ClNO or ClON?
- Based on formal charge considerations, which of the following would likely be the correct arrangement of atoms in hypochlorous acid: HOCl or OClH?
- Based on formal charge considerations, which of the following would likely be the correct arrangement of atoms in sulfur dioxide: OSO or SOO?
- Draw the structure of hydroxylamine, H 3 NO, and assign formal charges; look up the structure. Is the actual structure consistent with the formal charges?
- Write the Lewis structure and chemical formula of the compound with a molar mass of about 70 g/mol that contains 19.7% nitrogen and 80.3% fluorine by mass, and determine the formal charge of the atoms in this compound.

- Sulfuric acid is the industrial chemical produced in greatest quantity worldwide. About 90 billion pounds are produced each year in the United States alone. Write the Lewis structure for sulfuric acid, H 2 SO 4 , which has two oxygen atoms and two OH groups bonded to the sulfur.
2. The resonance forms are as follows:

6. The Lewis structures are as follows:

CO has the strongest carbon-oxygen bond, because there are is a triple bond joining C and O. CO 2 has double bonds, and carbonate has 1.3 bonds.
12. Draw all possible resonance structures for each of the compounds below. Determine the formal charge on each atom in each of the resonance structures:

The structure with formal charges of 0 is the most stable and would therefore be the correct arrangement of atoms.

18. There are 19.7 g N and 80.3 g F in a 100.0-g sample:
[latex]\begin{array}{l}\dfrac{19.7\text{g}}{14.0067\text{ g}{\text{ mol}}^{-1}}=1.406\text{ mol}\\ \dfrac{1.406\text{ mol}}{1.406\text{ mol}}=1\text{ N}\\ \dfrac{80.3\text{ g}}{18.9984\text{ g}{\text{ mol}}^{-1}}=4.2267\text{ mol}\\ \dfrac{4.2267\text{ mol}}{1.406\text{ mol}}=3\text{ F}\end{array}[/latex]
The empirical formula is NF 3 and its molar mass is 71.00 g/mol, which is consistent with the stated molar mass.
- Oxidation states: N = +3, F = –1.

formal charge: charge that would result on an atom by taking the number of valence electrons on the neutral atom and subtracting the nonbonding electrons and the number of bonds (one-half of the bonding electrons)
molecular structure: arrangement of atoms in a molecule or ion
resonance: situation in which one Lewis structure is insufficient to describe the bonding in a molecule and the average of multiple structures is observed
resonance forms: two or more Lewis structures that have the same arrangement of atoms but different arrangements of electrons
resonance hybrid: average of the resonance forms shown by the individual Lewis structures
- Chemistry 2e. Provided by : OpenStax. Located at : https://openstax.org/ . License : CC BY: Attribution . License Terms : Access for free at https://openstax.org/books/chemistry-2e/pages/1-introduction
- Resonance. Authored by : Khan Academy. Located at : https://youtu.be/6XOm3Km7r30 . License : Other . License Terms : Standard YouTube License

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In order to calculate the formal charges for O3 we'll use the equation Formal charge = [# of valence electrons] - [nonbonding val electrons] - [bonding electro Show more Show more
The formal charge of the ozone molecule is zero. Its Lewis structures do present charge separation. Explanation: With simple VSEPR considerations, there are 18 valence electrons to distribute around the 3 oxygen atoms (24 electrons in total; 6 are inner core). Typically, a Lewis structure of O = .. O+ −O−, would be depicted.
34.3K subscribers How to calculate the formal charges on the atoms of ozone (O3) MOC members get access to over 1500 quizzes on O3 and many other topics, plus Flashcards, the Reaction...
The formal charges present on the bonded atoms in O 3 can be calculated using the formula given below: V.E - N.E - B.E/2 Where - ⇒ V.E = valence electrons of an atom ⇒ N.E = non-bonding electrons, i.e., lone pairs ⇒ B.E = bonding electrons What is the formal charge on the central O-atom in the O3 Lewis structure?
Center 6 valence −5 assigned = 1 formal charge Right: 6 valence −7 assigned = −1 formal charge Notice that even though the atoms have varying formal charges, the overall charge of O3 is the sum of the formal charges in the molecule: 0 + 1 + ( −1) = 0. Ions' formal charge sums are ≠ 0. Answer link
Subtract this number from the number of valence electrons for the neutral atom. This gives the formal charge: Br: 7 - 7 = 0. Cl: 7 - 7 = 0. All atoms in BrCl 3 have a formal charge of zero, and the sum of the formal charges totals zero, as it must in a neutral molecule. Exercise 3.3.3.2.
Thus, we calculate formal charge as follows: (4.3.1) formal charge = # valence shell electrons (free atom) − # lone pair electrons − 1 2 # bonding electrons We can double-check formal charge calculations by determining the sum of the formal charges for the whole structure.
[ Formal charge]C = 4 - (1/2) × 8 - 0 = 0 ⇒ This molecule is neutral. CH 3+, methyl cation A number of bonding electrons: 2 for H, 6 for C A number of non-bonding electrons: 0 for both H and C [ Formal charge]H = 1 - (1/2) × 2 - 0 = 0 ⇒ This applies to each hydrogen. These hydrogens are all zero.
Using the formula charge formula for each atom present, we can calculate the formal charge by observing the Lewis Dot structure of OH. Formal charge = valence electrons - unbonded electrons...
Minus the bonding, and we have two bonds, a double bond; so we have4 bonding electrons. We'll divide that by 2. So the formal charge on the Oxygen withthe double bond is zero. Next, we'll look at the Oxygen at the center of the O3 molecule. We have 6, minus nonbonding, and we only have 2 nonbonding valence electrons.
O3 lewis structure formal charges. Ozone is an unstable blue diamagnetic gas with a pungent odor. O3 lewis structure has two major resonance structures, each of which contributes equally to the hybrid structure of the molecule.. When an electron is redistributed between two atoms and the charge is occupied by these atoms for the bonds, a formal charge is created.
Formal charge on right Oxygen = Valence electrons - Nonbonding electrons - (Bonding electrons)/2 = 6 - 6 - (2/2) = 1-. So the formal charge on right oxygen atom is 1-. Now let's put all these charges on the lewis dot structure of O3. So there is overall 0 charge left on the entire molecule. This indicates that the O3 (Ozone) has 0 charge.
The formal charge of the ozone molecule is zero. Its Lewis structures do present charge separation. With simple VSEPR considerations, there are 18 valence electrons to distribute around the 3 oxygen atoms ( 24 electrons in total; 6 are inner core). Typically a Lewis structure of O= O¨+−O −, would be depicted.
- The formal charge on oxygen atom 3 = 6 - 2 2 - 6 = -1 - The formal charge on oxygen atom 3 is '-1'. - Now the total formal charge of the ozone = 0 + 1 - 1 = 0 - Therefore the formal charge of ozone is '0'. Note: The formal charge of a molecule is equal to the sum of the formal charge of all the individual atoms present in the given molecule.
Formal charge in O 3 ( Ozone): In an O 3 molecule, the formal charge on the middle oxygen atom ( 2) is + 1. F. C = 6 - 2 - 1 2 ( 6) F. C = 6 - 5 F. C = 1 In an O 3 molecule, the formal charge on the left oxygen atom ( 3) is - 1. F. C = 6 - 6 - 1 2 ( 2) F. C = 6 - 7 F. C = - 1 In an O 3 molecule, the formal charge on the right oxygen atom ( 1) is 0.
Calculating Formal Charge. The formal charge of an atom in a molecule is the hypothetical charge the atom would have if we could redistribute the electrons in the bonds evenly between the atoms. Another way of saying this is that formal charge results when we take the number of valence electrons of a neutral atom, subtract the nonbonding electrons, and then subtract the number of bonds ...
The formal charge of an atom in a molecule is the charge that would reside on the atom if all of the bonding electrons were shared equally. We can calculate an atom's formal charge using the equation FC = VE - [LPE - ½(BE)], where VE = the number of valence electrons on the free atom, LPE = the number of lone pair electrons on the atom in the molecule, and BE = the number of bonding (shared ...
Formal charge = # of valence electrons - # of lone pair electrons - # of bonding electrons/2 2 bonds and 2 lone pairs = 6 - 4 - 4/2 = 0 formal charge 1 bond and 3 lone pairs = 6 - 6 - 2/2 = -1 formal charge 3 bonds and 1 lone pair = 6 - 2 - 6/2 = +1 formal charge 2 comments ( 2 votes) Upvote Downvote Flag more Muhammad Hassan 5 years ago At 4:04
Another way of saying this is that formal charge results when we take the number of valence electrons of a neutral atom, subtract the nonbonding electrons, and then subtract the number of bonds connected to that atom in the Lewis structure. formal charge= # valence shell electrons (free atom)−# lone pair electrons− 1 2# bonding electrons ...