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How do you calculate the formal charge of O3?


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4.3: Formal Charge and Oxidation State
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Skills to Develop
- Compute formal charges for atoms in any Lewis structure
- Use formal charges to identify the most reasonable Lewis structure for a given molecule
- Identify the oxidation states of atoms in Lewis structures
Previously, we discussed how to write Lewis structures for molecules and polyatomic ions. In some cases, however, 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. But first, let's introduce a concept we will refer back to frequently for the rest of this term: electronegativity.
Electronegativity
Whether a bond is nonpolar or polar covalent is determined by a property of the bonding atoms called electronegativity . Electronegativity is a measure of the tendency of an atom to attract electrons (or electron density) towards itself. It determines how the shared electrons are distributed between the two atoms in a bond. The more strongly an atom attracts the electrons in its bonds, the larger its electronegativity. Electrons in a polar covalent bond are shifted toward the more electronegative atom; thus, the more electronegative atom is the one with the partial negative charge. The greater the difference in electronegativity, the more polarized the electron distribution and the larger the partial charges of the atoms.
Figure \(\PageIndex{1}\) shows the electronegativity values of the elements as proposed by one of the most famous chemists of the twentieth century: Linus Pauling. In general, electronegativity increases from left to right across a period in the periodic table and decreases down a group. Thus, the nonmetals, which lie in the upper right, tend to have the highest electronegativities, with fluorine the most electronegative element of all (EN = 4.0). Metals tend to be less electronegative elements, and the group 1 metals have the lowest electronegativities. Note that noble gases are excluded from this figure because these atoms usually do not share electrons with others atoms since they have a full valence shell. (While noble gas compounds such as XeO 2 do exist, they can only be formed under extreme conditions, and thus they do not fit neatly into the general model of electronegativity.)

Figure \(\PageIndex{1}\): The electronegativity values derived by Pauling follow predictable periodic trends with the higher electronegativities toward the upper right of the periodic table.
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.
Example \(\PageIndex{1}\): Calculating Formal Charge from Lewis Structures
Assign formal charges to each atom in the interhalogen ion \(\ce{ICl4-}\) .
We divide the bonding electron pairs equally for all \(\ce{I–Cl}\) bonds:

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).
Exercise \(\PageIndex{1}\)
Calculate the formal charge for each atom in the carbon monoxide molecule:

C −1, O +1
Example \(\PageIndex{2}\): Calculating Formal Charge from Lewis Structures
Assign formal charges to each atom in the interhalogen molecule \(\ce{BrCl3}\).
Assign one of the electrons in each Br–Cl bond to the Br atom and one to the Cl atom in that bond:

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 = 0
All atoms in \(\ce{BrCl3}\) have a formal charge of zero, and the sum of the formal charges totals zero, as it must in a neutral molecule.
Exercise \(\PageIndex{2}\)
Determine the formal charge for each atom in \(\ce{NCl3}\).
N: 0; all three Cl atoms: 0

Video \(\PageIndex{1}\): A video overview on calculating formal charges.
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.
Predicting Molecular Structure Guidelines
- 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, \(\ce{CO2}\). 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: \(\ce{CNS^{–}}\), \(\ce{NCS^{–}}\), or \(\ce{CSN^{–}}\). 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 \(\PageIndex{3}\): 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?

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.
Exercise \(\PageIndex{3}\)
Which is the most likely molecular structure for the nitrite (\(\ce{NO2-}\)) ion?

\(\ce{ONO^{–}}\)
Oxidation Numbers
We have also discussed electronegativity, which gives rise to polarity in bonds and molecules. Thus, sometimes it is helpful for us to define another somewhat artificial device - invented by chemists, not by molecules - which enables us to keep track of electrons in complicated reactions where electrons rearrange into new bonds.
We can obtain oxidation numbers by arbitrarily assigning the electrons of each covalent bond to the more electronegative atom in the bond. This is in contrast to the Formal Charge which divides each bonding pair equally without concern for which atom may be more electronegative. When this division has been done for all bonds, the charge remaining on each atom is said to be its oxidation number. If two like atoms are joined, each atom is assigned half the bonding electrons.
Example \(\PageIndex{4}\): Oxidation Number
Determine the oxidation number of each atom in each of the following formulas: (a) Cl 2 ; (b) CH 4 ; (c) NaCl; (d) OF 2 ; (e) H 2 O 2 .
In each case we begin by drawing a Lewis diagram:

In each Lewis diagram, electrons have been color coded to indicate the atom from which they came originally. The boxes enclose electrons assigned to a given atom by the rules for determining oxidation number.
a) Since the bond in Cl 2 is purely covalent and the electrons are shared equally, one electron from the bond is assigned to each Cl, giving the same number of valence electrons (7) as a neutral Cl atom. Thus neither atom has lost any electrons, and the oxidation number is 0. This is indicated by writing a 0 above the symbol for chlorine in the formula
\[\overset{0}{\mathop{\text{Cl}}}\,_{\text{2}}\]
b) Since C is more electronegative than H, the pair of electrons in each C―H bond is assigned to C. Therefore each H has lost the one valence electron it originally had, giving an oxidation number of +1. The C atom has gained four electrons, giving it a negative charge and hence an oxidation number of – 4:
\[\overset{-\text{4}}{\mathop{\text{C}}}\,\overset{\text{+1}}{\mathop{\text{H}}}\,_{\text{4}}\]
c) In NaCl each Na atom has lost an electron to form an Na + ion, and each Cl atom has gained an electron to form Cl – . The oxidation numbers therefore correspond to the ionic charges:
\[\overset{\text{+1}}{\mathop{\text{Na}}}\,\overset{-\text{1}}{\mathop{\text{Cl}}}\,\]
d) Since F is more electronegative than O, the bonding pairs are assigned to F in oxygen difluoride (OF 2 ). The O is left with four valence electrons, and each F has eight. The oxidation numbers are
\[\overset{\text{+2}}{\mathop{\text{O}}}\,\overset{-\text{1}}{\mathop{\text{F}_{\text{2}}}}\,\]
e) In Hydrogen peroxide (H 2 O 2 ) the O—H bond pairs are assigned to the more electronegative O’s, but the O―O bond is purely covalent, and the electron pair is divided equally. This gives each O seven electrons, a gain of 1 over the neutral atom. The oxidation numbers are
\[\overset{\text{+1}}{\mathop{\text{H}_{\text{2}}}}\,\overset{-\text{1}}{\mathop{\text{O}_{\text{2}}}}\,\]
Oxidation numbers are mainly used by chemists to identify and handle a type of chemical reaction called a redox reaction , or an oxidation-reduction reaction . This type of reaction can be recognized because it involves a change in oxidation number of at least one element. We explored this last term . Oxidation numbers can sometimes also be useful in writing Lewis structures, particularly for oxyanions. In the sulfite ion, SO 3 2– for example, the oxidation number of sulfur is +4, suggesting that only four sulfur electrons are involved in the bonding. Since sulfur has six valence electrons, we conclude that two electrons are not involved in the bonding, i.e., that there is a lone pair. With this clue, a plausible Lewis structure is much easier to draw:

Video \(\PageIndex{2}\): A video overview of oxidation numbers and Lewis structures.
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. Oxidation numbers can further be used to help elucidate the correct Lewis structure.
Key Equations
- \(\textrm{formal charge = # valence shell electrons (free atom) − # one pair electrons − }\dfrac{1}{2}\textrm{ # bonding electrons}\)
Contributors
Paul Flowers (University of North Carolina - Pembroke), Klaus Theopold (University of Delaware) and Richard Langley (Stephen F. Austin State University) with contributing authors. Textbook content produced by OpenStax College is licensed under a Creative Commons Attribution License 4.0 license. Download for free at http://cnx.org/contents/[email protected] ).
Ed Vitz (Kutztown University), John W. Moore (UW-Madison), Justin Shorb (Hope College), Xavier Prat-Resina (University of Minnesota Rochester), Tim Wendorff, and Adam Hahn.
- Adelaide Clark, Oregon Institute of Technology
- Wayne Breslyn (video 1)
- Clayton Spencer (video 2)
Have feedback to give about this text? Click here .
Found a typo and want extra credit? Click here .
Published By Vishal Goyal | Last updated: December 29, 2022
How to calculate formal charges of ozone (O3) with lewis structure?
Home > Chemistry > O3 formal charge
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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Formal Charge Calculator
Enter the number of valence electrons, number of lone and bonded pairs. The calculator will readily determine the formal charge.
No. of Valence Electrons:
No. of Lone Pair Electrons:
No. of Bound Electrons:
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An online formal charge calculator is exclusively designed to calculate formal charge of an atom. Moreover, it should be kept in mind that we must have a sound knowledge of the formal charge chemistry before you start using this free calculator. So, without getting late, let’s dive in!
What Is A Formal Charge?
A formal charge is defined as:
“The individual charge of each atom present in a molecule”
Determining the formal charge is of great significance. This is because it shows how reactive a molecule is and how it will behave while creating bonds with either atoms.
Lewis Structure:
This particular structure displays the bonding electron pairs of atoms in a molecule. Also, the presence of lone pairs in the molecules is also shown using this pattern.
In Lewis Structure:
- A single bond is formed by two electrons and is denoted by “:” or “-”
- A double bond is create with 4 electrons and is shown as “::” or “=”
- A triple bond is formed using 6 shared electrons and is displayed as “:::” or “≡”
- The lone pair of electrons is shown as “:” always
No matter how complex the dot structure of a molecule is, the free online formal charge calculator assists you in calculating charge in a fragment of seconds.
The Lewis structures of carbon dioxide is below:
.png)
Lone Pair Electrons:
“A specific extra pair of electrons that does not take part in the bonding scheme is known as the lone pair”.
In practice, lone pairs of electrons are not usually shown. However, it is mandatory to remember them as well.
.png)
Bonding Pair Electrons:
“The electron pairs that do take part in the bond formation are known as the bonding pair of electrons”.
For example:
The bond pair of electrons is Nitrogen Trichloride molecule are represented as “-” and lone pair as “:”
.png)
Formal Charge Formula:
You can calculate the formal charge of any atom with the help of the equation below:
$$ FC = V – \left(LP + 0.5BE\right) $$
FC = Formal Charge on Atom V = Number of Valence Electrons LP = Lone Pair Electrons BE = Number of Bonded Electrons
How To Calculate Formal Charge?
Here we will be solving a couple of examples to make your concept even more stronger than before. Let’s start!
Example # 01:
We are seeking to calculate the formal charge of sulphur in sulphur dioxide molecule. How to find formal charge from Lewis structure?
The lewis structure of the sulphur dioxide containing all the bonding and lone pair electrons is as follows:

Valence shell electrons of sulphur = 6 Lone pair electrons of sulphur = 2 Bonded electrons of sulphur = 8
Using formal charge equation:
$$ FC = V – \left(LP + 0.5BE\right) $$ $$ FC = 6 – \left(2 + 0.5*8\right) $$ $$ FC = 6 – \left(2 + 4\right) $$ $$ FC = 6 – 6 $$ $$ FC = 0 $$
Example # 02:
How to determine formal charge on fluorine?
The dot structure of fluorine is as below:
.png)
Valence shell electrons of sulphur = 7 Lone pair electrons of sulphur = 6 Bonded electrons of sulphur = 2
Calculating formal charge:
$$ FC = V – \left(LP + 0.5BE\right) $$ $$ FC = 7 – \left(6 + 0.5*2\right) $$ $$ FC = 7 – \left(6 + 1\right) $$ $$ FC = 7 – \left(7\right) $$ $$ FC = 7 – 7 $$ $$ FC = 0 $$
Except for the formula, our free online formal charge calculator takes a couple of seconds to generate accurate results.
Example # 03:
How to find formal charge on oxygen in \(CH_{3}O^-\) ion?
The lewis structure of \(CH_{3}O^-\) is as follows:
.png)
Carrying out formal charge calculation:
The number of bonding electrons oxygen in \(CH_{3}O^-\) = 2 The number of valence shell electrons in \(CH_{3}O^-\) = 6 Lone pair electrons = 6
Using formal charge formula:
$$ FC = V – \left(LP + 0.5BE\right) $$ $$ FC = 6 – \left(6 + 0.5*2\right) $$ $$ FC = 6 – 7 $$ $$ FC = -1 $$
How Formal Charge Calculator Works?
Make a use of this free calculator to calculate formal charge on any atom contained within the molecule. Let’s find how!
- Enter the number of valence shell electrons
- Enter the number of the lone pair electrons the same way
- Finally, enter the value of the bonded electrons in the designated fields
- Tap the calculate button
The free formal charge calculator calculates:
- The exact formal charge for the respective atom in the molecule
What is the formal charge rule?
According to the formal charge rule, the number of the electrons shared among the atoms of the molecule must be in equilibrium. Moreover, this knowledge also provides an edge in determining the true Lewis structures.
What is a negative formal charge?
When an atom donates more than a few electrons and there is an octet shell vacant in them, then there exists a possibility of gaining more electrons to fill the octet shell. This gain of electrons results in the negative formal charge on an atom.
Are formal charges real charges?
No, the formal charges are not the real charges. They are just used to suppose the electrons transmission in between atoms for lewis structures.
What is the best formal charge?
In practice, the formal charge of “0” is very best as it shows the atoms have their shells completely filled while bonding with each other in a molecule. Also, it is also known as the lowest formal charge.
Does formal charge affect polarity?
No, the formal charge can never have any effect on the polarity. The formal charges are always assumed for the perfect covalent bonds which means there is no chance of electrons to be shared unequally. This cancels out any chance of polarity within the molecule.
Does formal charge determine the dipole moment?
Yes, of course! The formal charge do determine the dipole moment
Conclusion:
In chemical analysis, the formal charge is very crucial in predicting and establishing a reaction mechanism. As well, it helps you in keeping a proper track of the electron sharing among atoms. That is why using an online formal charge calculator help you in perfect formal charge calculations to avoid any hurdle during any chemical reaction.
References:
From the source of Wikipedia: Chemical bond , Strong chemical bonds, Intermolecular bonding,
From the source of Khan Academy: Types of Bonds, Ionic Bonds , Covalent Bonds, Polar covalent bonds, Comparison Of Covalent And Ionic Compounds

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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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How to Calculate Formal Charge Khan Academy
In order to calculate the formal charge of an atom, you will need to know the number of valence electrons on the atom. The number of valence electrons can be found on the periodic table. Once you have determined the number of valence electrons, you will need to subtract the number of non-bonding electrons and half of the bonding electrons from the total number of valence electrons. This will give you the formal charge on the atom.
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Formal charge | Molecular and ionic compound structure and properties | AP Chemistry | Khan Academy
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- Go to Khan Academy’s website
- Search for “formal charge” in the search bar
- Click on the first video that comes up titled “Formal Charge: Definition, Formula & Example
- Watch the video and take notes on how to calculate formal charge
- Practice calculating formal charge with various molecules to make sure you understand the concept
How to Calculate Formal Charge Formula
When it comes to calculating formal charge, there is a simple formula that you can follow. This will ensure that you get the correct answer every time. The first thing that you need to do is determine the total number of valence electrons in the molecule. This can be done by looking at the periodic table or using an online tool. Once you have determined the total number of valence electrons, you need to subtract the number of non-bonding electrons from this total. This will give you the number of bonding electrons in the molecule. Finally, you need to subtract the total number of lone pairs from the total number of bonding electrons. This will give you your final answer for formal charge.
Khan Academy Formal Charge Practice
In chemistry, formal charge is the charge assigned to an atom in a molecule, assuming that electrons in all chemical bonds are shared equally between atoms, regardless of relative electronegativity. Formal charge is important because it allows chemists to predict the predominant structure or ionic character of a molecule or polyatomic ion. It also provides insight into possible electron-sharing arrangements (resonance structures) in molecules and how those resonance structures contribute to the overall stability of the molecule. The concept of formal charge is based on Lewis dot structures, which are two-dimensional representations of molecules and ions that show how valence electrons are arranged around atoms. In a Lewis dot structure, each dot represents one valence electron. The number of dots equals the number of valence electrons for that particular atom. For example, carbon has four valence electrons, so its Lewis dot structure would look like this: C . Formal charge is calculated by subtracting the number of valence electrons on an atom from the total number of electrons surrounding that atom in a Lewis dot structure. The resulting number is the formal charge on that atom. For example, consider this Lewis dot structure for carbon dioxide: O=C=O . In this molecule, each oxygenatom has sixvalenceelectrons (three lone pairs and one bond), whilecarbonhasfourvalenceelectrons(two bondsand two lone pairs). Therefore, we can calculate the formal charges as follows: Formal Charge on Oxygen = 6 – (3 + 1) = 2 Formal Charge on Carbon = 4 – (2 + 2) = 0 Therefore, in this molecule there are two oxygen atoms with a formal chargeof+2andonecarbonatomwithaformalchargeof0 . This particular arrangement results in what is called acarbonateion . Keepinmindthatintheseexamplesweareneglectingthepresenceofanynon-bondingelectrons(also known as “lone pairs”). Now let’s look at another example where we will take into account non-bonding electrons.
How to Calculate Formal Charge on Resonance Structures
When it comes to chemistry, resonance is an important concept to understand. In short, resonance occurs when a molecule has more than one possible structure that can be drawn. The actual structure of the molecule is a hybrid of these different structures. In order to calculate the formal charge on a resonance structure, you’ll need to follow a few steps. First, determine which atoms are bonded and which are not. Then, assign electrons to each atom according to its electronegativity. Finally, use the following equation: Formal Charge = Number of Valence Electrons – (Number of Bonds + Number of Unshared Electrons) Let’s walk through an example using methane, CH₄. In this molecule, all four hydrogen atoms are bonded to the carbon atom. We also know that carbon has 4 valence electrons and hydrogen has 1 valence electron. So our equation would look like this: Formal Charge (carbon) = 4 – (4 + 0) = 0 Formal Charge (hydrogen) = 1 – (1 + 0) = 0 All in all, we can see that the formal charge on each atom in this methane molecule is zero!
How to Calculate Formal Charge of O3

O3, or ozone, is a molecule made up of three oxygen atoms. The formal charge of a molecule is the sum of the charges on all of its atoms. In order to calculate the formal charge of O3, we need to add up the charges on each of its atoms. The first oxygen atom has a charge of -2, the second has a charge of 0, and the third has a charge of +1. When we add these up, we get a formal charge of -1 for O3.
How to Determine Formal Charge from Lewis Structure
In chemistry, formal charge is the overall charge on an atom in a molecule if we were to assume that electrons in all chemical bonds are shared equally between atoms. This is different from the actual charge on an atom, which takes into account the individual electron pairs that each atom has. To determine the formal charge of an atom, first draw out the Lewis structure of the molecule. Then, count up the number of valence electrons on each atom. Formal charge is calculated by subtracting the number of valence electrons from the number of lone pair electrons: Formal Charge = Number of Valence Electrons – Number of Lone Pair Electrons For example, consider carbon dioxide (CO2).

Credit: www.khanacademy.org
How Do You Calculate the Formal Charge?
In order to calculate the formal charge on an atom, you must first determine the number of valence electrons on the atom. This can be done by looking at the position of the element on the periodic table. Once you have determined the number of valence electrons, you must then subtract the number of non-bonding electrons and half of the bonding electrons from that total. The resulting number is the formal charge on the atom. For example, let’s say we want to calculate the formal charge on carbon. Carbon has 4 valence electrons. If we subtract 2 non-bonding electrons (1s2) and 1/2 of 2 bonding electrons (sp2), we are left with a formal charge of +1 on carbon.
What is Formal Charge And How is It Calculated?
In chemistry, formal charge is the overall charge of an atom in a molecule or polyatomic ion where the valence electrons have been divided up according to the rules: # In Lewis structures, covalent bonds are shared equally between atoms. Formal charges can be calculated by assigning dots for lone pairs (non-bonded electrons) and crosses for unpaired electrons. The number of dots minus crosses equals the formal charge on that atom. # Where there are multiple Lewis structures with different arrangements of lone pairs and unpaired electrons, the one with the lowest formal charges on all atoms is generally preferred. The concept of formal charge is useful in predicting trends in reactivity and bonding properties in molecules and ions. Compounds tend to be more stable when they have a lower overall formal charge. This is because molecules or ions with higher formal charges tend to be more reactive, since they have a greater tendency to lose electrons and form cations or to gain electrons and form anions.
What is Formal Charge Ap Chem?

In chemistry, the formal charge of an atom is the hypothetical charge that an atom would have if we completely ionized all of its bonds and assigned electrons to atoms according to the octet rule. The formal charge on an atom can be calculated by subtracting the number of valence electrons on the free atom from the total number of electrons around the nucleus. For example, carbon has 4 valence electrons. If we add 2 for each C-H bond and 1 for each double bond, we get a total of 8 electrons around the nucleus. This means that the formal charge on carbon is 4 – 8 = -4. Formal charges are important in predicting the structure and reactivity of molecules. They can help us understand why some molecules are more stable than others and why some reactions occur more readily than others.
Why Do We Calculate the Formal Charge?
When we are trying to determine the most likely structure for a molecule, it is important to take into account the formal charges on each atom. The formal charge of an atom is the difference between the number of valence electrons on an uncharged atom and the number of electrons assigned to that atom in the Lewis structure. By taking into account the formal charges on each atom, we can see which Lewis structure is more stable. In general, a molecule will be more stable if the atoms have a lower formal charge. There are several reasons why we calculate the formal charge: 1) To help us determine the most likely Lewis structure for a molecule 2) To see which Lewis structure is more stable
In order to calculate the formal charge on an atom, you’ll need to know the number of valence electrons on that atom. The valence electrons are the outermost electrons on an atom, and they’re what determine how atoms interact with each other. Once you have the number of valence electrons, you can subtract the number of bonds that atom has from that number. The resulting number is the formal charge on that atom.
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What is the Charge of O3 (Ozone)? And Why?
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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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 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:


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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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- Formal Charge

What is Formal Charge?
A formal charge (F.C. or q) is the charge assigned to an atom in a molecule in the covalent view of bonding, assuming that electrons in all chemical bonds are shared equally between atoms, regardless of relative electronegativity.
The formal charge is the difference between an atom's number of valence electrons in its neutral free state and the number allocated to that atom in a Lewis structure.
When choosing the optimum Lewis structure (or predominant resonance structure) for a molecule, it is important to keep the formal charge on each of the atoms as low as feasible.
The following equation can be used to compute the formal charge of an atom in a molecule:
F = V - L - \[\frac{B}{2}\]
F = Formal Charge
V = Valence Electron of the neutral atom in isolation
L = Number of non-bonding valence electrons on this atom in the molecule
B = Total number of electrons shared in bonds with other atoms in the molecule
Formula, Calculation, Importance, and Example
The formula for computing a formal charge is:
(Number of valency electrons in neutral atom)-(electrons in lone pairs + 1/2 the number of bonding electrons)
The number of bonding electrons divided by two equals the number of bonds that surround the atom, hence this expression can be reduced to:
Formal Charge = (number of valence electrons in neutral atom)-(non-bonded electrons + number of bonds)
Take the compound BH 4 or tetrahydrdoborate.
Boron (B) possesses three valence electrons, zero non-bonded electrons, and four bonds around it.
This changes the formula to 3-(0+4), yielding a result of -1.
Let us now examine the hydrogen atoms in BH4. One valence electron, zero non-bonded electrons, and one bond make up hydrogen.
In BH4, the formal charge of hydrogen is 1-(0+1), resulting in a formal charge of 0.
Calculate the formal charge on the following:
O atoms of O3
Cl atom in HClO4- ion
S atom in HSO4- ion
Ans: We are showing how to find a formal charge of the species mentioned.
Formal charge on O1: 6 – 6/2 – 2 = +1
Formal charge on O2: 6 – 4/2 – 4 = 0
Formal charge on O3: 6 – 2/2 – 6 = -1
Formal charge on Cl atom of HClO4 ion: 7 – 8/2 – 0 = 3
Formal charge on S atom of HSO4- ion: 6 – 8/2 – 0 = 2
Significance
Molecular Structure
An atom in a molecule should have a formal charge of zero to have the lowest energy and hence the most stable state. If there are numerous alternatives for a molecule's structure, this gives us a hint: the one with the least/lowest formal charges is the ideal structure.
While formal charge can indicate a molecule's preferred structure, the problem becomes more complicated when numerous equally preferred structures exist. This condition could point to resonance structures, especially if the structures have the same atom arrangement but different types of arrangements of bonds.
The formal charge of a molecule can indicate how it will behave during a process. A negative formal charge indicates that an atom is more likely to be the source of electrons in a reaction (a nucleophile). If it has a positive one, on the other hand, it is more likely to take electrons (an electrophile), and that atom is more likely to be the reaction's site.
It's also worth noting that an atom's formal charge differs from its actual charge. Formal charge ignores electronegativity and assumes that electrons in a bond are uniformly distributed.
It's only a courtesy that's utilized to make molecular structures and reaction mechanisms more understandable. The actual charge, on the other hand, is based on the electronegativities of the atoms and the polarity of the bonds and looks at the actual electron density.
Importance Of Formal Charge
Now that we know what is the formal charge and we are familiar with the process for calculating a formal charge, we will learn about its importance.
The formal charge is a theoretical concept, useful when studying the molecule minutely. It does not indicate any real charge separation in the molecule. This concept and the knowledge of ‘what is formal charge' is vital.
The formal charge is crucial in deciding the lowest energy configuration among several possible Lewis structures for the given molecule. Therefore, calculating formal charges becomes essential.
Knowing the lowest energy structure is critical in pointing out the primary product of a reaction. This knowledge is also useful in describing several phenomena.
The structure of least energy is usually the one with minimal formal charge and most distributed real charge.
Besides knowing what is a formal charge, we now also know its significance.
Fun Facts On Formal Charge
In organic chemistry, convention governs that formal charge is essential for depicting a complete and correct Lewis-Kekulé structure. However, the same does not apply to inorganic chemistry.
The structure variation of a molecule having the least amount of charge is the most superior.
The differences between formal charge and oxidation state led to the now widely followed and much more accurate valence bond theory of Slater and the molecular orbital theory of Mulliken.

Organic Chemistry

Formal Charges
Formal charges in organic chemistry is, perhaps, one of the most fundamental bookkeeping devices which is often misunderstood or neglected by students.
Why Formal Charges are Important in Organic Chemistry?
Knowing formal charges can help us understand the reactivity patterns in reactions, find reactive centers, and make sense out of electron flow in the mechanisms. For instance, negatively charged species tend to be the sources of electron density in reactions, while the positively charged species—accept those electrons.
Here is a couple of examples of molecules with formal charges:

The top species has a negative charge. We call such species anions. Since it has a negative charge, it means that it has an excess of electron density. Thus, it is likely to be the source of those electrons in a reaction. Sources of electron density in an organic reaction are acting as nucleophiles or bases.
The second species bears a positive charge, thus it is a cationic species. In a reaction, a cationic species will be an acceptor of electrons acting as an acid (either Brønsted or Lewis) or as an electrophile.
It’s important to keep in mind that a formal charge is not the same thing as an actual charge ! I’ll talk about it a little later in this post.
How to Calculate a Formal Charge
The “official” way is to subtract 1/2 bonding electrons and nonbonding electrons from possible valence electrons that an atom can have. In other words:

What are all those terms?
Bonding electrons are those that make up bonds. Each bond contains 2 electrons. So, 1/2 of bonding electrons equals to the number of bonds and atom has.
Nonbonding electrons are those that are not participating in any bonding. In other words, nonbonding electrons are the spare electrons (usually electron pairs) on an atom. Using the examples from above we have:

The definitions and the “official” method looks a little ugly. As a professional chemist I can talk all day about the “official rules” and “proper names” and bore you to death. Instead, I’d rather you use a simple “trick” that always works and, essentially, is the same thing. The trick is:
Formal charge = Valence Electrons – Sticks – Dots
The number of valence electrons equals to the element’s group (column) in the periodic table. This way, carbon has 4, oxygen has 6, and hydrogen has 1 valence electrons. The bonds and the spare electrons will be indicated (or can be easily found from) the molecule’s Lewis structure. So, for as long as you have a complete Lewis structure and periodic table handy, you can quickly find the formal charge of any atom in a molecule.
The Difference Between the Formal and Actual Charge
Now, I’ve mentioned earlier that there’s a difference between the formal and the actual charge. Formal charge is a bookkeeping tool that is important to help us keep track of the electron flow in the reaction.
The actual charge , however, is the actual electron density that is present on the atom. For instance, let’s take a look at borohydride anion:

The electronegativity of boron is 2.0 while electronegativity of hydrogen is 2.2. So, the hydrogen is more electronegative (not by much but still) and will polarize the bond. This means that hydrogen actually “pulls” the electron density towards itself. Thus:

While formal charges are merely a “formality,” they are very important for the reactions mechanisms understanding. Thus you need to make sure you master the skill of quickly finding the formal charge.
You also notice that I’ve indicated my real electron densities with the delta-minus (𝛿-) symbol. That denotes that I only have a partial negative charge on each of the hydrogens. How much of that partial charge we have on them? Well, we could calculate it using fancy quantum chemical calculations, but that’s utterly unnecessary for the purposes of a typical organic chemistry course. What’s more important, is to realize that the boron is not actually negatively charged in this molecule. So, when we write a reaction with a borohydride anion, we won’t be showing electrons coming from boron!

Notice how in the example above my arrow starts at the H-B bond and not at the boron atom! That’s because it’s not the boron that is a source of electron density here! You remember from earlier in this post, it’s the hydrogens are the atoms with the 𝛿-. So now it makes sense that the arrow doesn’t start at boron.
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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
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
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=stackrel(ddot)O^(+)-O^(-), would be depicted. Going from left O to right O and including the 2 inner core ...
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 ...
Master Organic Chemistry 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...
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?
How to find formal charge on oxygen in CH3O − ion? Solution: The lewis structure of CH3O − is as follows: Carrying out formal charge calculation: The number of bonding electrons oxygen in CH3O − = 2 The number of valence shell electrons in CH3O − = 6 Lone pair electrons = 6 Using formal charge formula: FC = V- (LP + 0.5BE) FC = 6- (6 + 0.5 ∗ 2)
[ 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 A number of bonding electrons: 2 for H, 6 for C A number of non-bonding electrons: 0 for both H and C
Steps for How to Calculate Formal Charge Step 1: Draw the Lewis Dot Structure for the compound given in order to calculate the formal charge. Step 2: Calculate the formal charge of the...
Then, we'll use the formula below to findthe formal charges for O3. For the first Oxygen, we have 6 valence electrons; and we foundthat on the periodic table. Oxygen is in group 6 or 16. Minus nonbonding, we have 4 nonbondingvalence electrons. Minus the bonding, and we have two bonds, a double bond; so we have4 bonding electrons.
The formal charge of a molecule is the sum of the charges on all of its atoms. In order to calculate the formal charge of O3, we need to add up the charges on each of its atoms. The first oxygen atom has a charge of -2, the second has a charge of 0, and the third has a charge of +1. When we add these up, we get a formal charge of -1 for O3.
Formal charge = Valence electrons - Nonbonding electrons - (Bonding electrons)/2 You can see the bonding and nonbonding electrons of O3 from the image given below. So now let's calculate the formal charge on each individual atom present in O3. Formal charge on left Oxygen atom: Valence electron = 6 (as it is in group 16 on periodic table)
Formal charge on O3: 6 - 2/2 - 6 = -1. Formal charge on Cl atom of HClO4 ion: 7 - 8/2 - 0 = 3; ... How to calculate formal charges? Formal charge calculations utilize the principle that the electrons in a bond are equally distributed between the two atoms involved. Therefore, for each atom, we find the valence electrons present in their ...
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.
- 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.
Typically a Lewis structure of O= O¨+−O −, would be depicted. Going from left O to right O and including the 2 inner core electrons on each atom, there are 8,8 and 8 electrons around each oxygen centre, resulting in formal charges of 0,+1, and −1, respectively. Of course, you can draw the other resonance structure, but the Lewis ...
Answer: C −1, O +1. Calculating Formal Charge from Lewis Structures. Assign formal charges to each atom in the interhalogen molecule BrCl 3. Solution. Assign one of the electrons in each Br-Cl bond to the Br atom and one to the Cl atom in that bond: Assign the lone pairs to their atom.
In BH4, the formal charge of hydrogen is 1-(0+1), resulting in a formal charge of 0. Example 2: Calculate the formal charge on the following: O atoms of O3. Cl atom in HClO4- ion. S atom in HSO4- ion. Ans: We are showing how to find a formal charge of the species mentioned. Formal charge on O1: 6 - 6/2 - 2 = +1. Formal charge on O2: 6 - 4 ...
Formal charge = Valence Electrons - Sticks - Dots The number of valence electrons equals to the element's group (column) in the periodic table. This way, carbon has 4, oxygen has 6, and hydrogen has 1 valence electrons. The bonds and the spare electrons will be indicated (or can be easily found from) the molecule's Lewis structure.