zuai-logo

Resonance and Formal Charge

Caleb Thomas

Caleb Thomas

10 min read

Listen to this study note

Study Guide Overview

This study guide covers resonance and formal charge in AP Chemistry. It explains how to identify resonance structures, calculate bond order, and use formal charge to determine the most stable Lewis structure. It includes practice questions and AP FRQ examples with scoring guidelines for HCO3โˆ’, S2Cl2, and HCNO.

AP Chemistry: Resonance and Formal Charge - Your Ultimate Study Guide ๐Ÿš€

Hey there, future AP Chem master! ๐Ÿ‘‹ Let's dive into resonance and formal charge โ€“ two concepts that might seem tricky but are totally conquerable with the right approach. Think of this guide as your secret weapon for acing the exam. Let's get started!

Resonance: When One Structure Isn't Enough

What is Resonance? ๐Ÿค”

Sometimes, a single Lewis structure can't fully capture the reality of a molecule. That's where resonance comes in! Imagine it like mixing paint ๐ŸŽจโ€”the true structure is a blend of multiple possibilities. Instead of bonds flipping back and forth, the actual molecule exists as an average of all resonance structures. This often leads to bond orders that are fractions, like 1.5 or 4/3.

Key Concept

Resonance structures are not different forms of the molecule that interconvert; they are different ways of drawing the same molecule, with the true structure being a hybrid of all the resonance forms.

How to Spot Resonance? ๐Ÿ•ต๏ธโ€โ™€๏ธ

Let's use the example of the nitrate ion (NO3-) to illustrate how to identify resonance:

  1. Count Valence Electrons:

    • N has 5 valence electrons, and each O has 6. With three O atoms and a -1 charge, we have 5 + (3 * 6) + 1 = 24 valence electrons.
  2. Draw the Basic Structure:

    • Put N in the center and connect it to three O atoms with single bonds.
    • Add lone pairs to complete the octets.

    NO3- with single bonds

  3. Adjust for Octets:

    • We have 26 electrons, but we need 24! Convert one single bond into a double bond, but where? ๐Ÿค”

    NO3- with one double bond

  4. Resonance Structures:

    • The double bond can be in any of the three positions. Draw all possibilities with a double-headed arrow (โ†”๏ธ) between them.

    NO3- resonance structures

Exam Tip

On the AP exam, always draw all resonance structures with double-headed arrows between them. Writing โ€œresonanceโ€ on the page can also help clarify your understanding.

Bond Order: Beyond Single and Double Bonds ๐Ÿ“

The bond order is the number of chemical bonds between a pair of atoms. It can be a fraction in molecules with resonance.

  • Calculation: (# of bonds) / (# of bond locations). In NO3-, there are 4 bonds distributed over 3 locations, so the bond order is 4/3. This means the bonds are stronger than single bonds but weaker than double bonds.
Memory Aid

Think of resonance as sharing the bond. If you have 4 bonds shared among 3 locations, each bond is like a 4/3 bond.

Practice Question

Multiple Choice Question:

  1. Which of the following molecules exhibits resonance? (A) CH4 (B) H2O (C) O3 (D) NaCl

  2. What is the bond order of the carbon-oxygen bond in the carbonate ion (CO3^2-)? (A) 1 (B) 4/3 (C) 2 (D) 3/2

Short Answer Question:

Draw all resonance structures for the nitrite ion (NO2-) and determine the bond order of the nitrogen-oxygen bond.

Free Response Question:

Consider the molecule sulfur dioxide (SO2).

(a) Draw all possible resonance structures for SO2. (b) Determine the bond order of the sulfur-oxygen bond in SO2. (c) Explain why the bond lengths in SO2 are identical, even though the Lewis structures show single and double bonds.

Answer Key

Multiple Choice Question:

  1. (C) O3
  2. (B) 4/3

Short Answer Question:

Resonance structures: O=N-O โ†”๏ธ O-N=O

Bond order: 3/2

Free Response Question:

(a) Resonance structures: O=S-O โ†”๏ธ O-S=O

(b) Bond order: 3/2

(c) The bond lengths in SO2 are identical because the actual molecule is a resonance hybrid, not a mixture of different forms. The electrons are delocalized, resulting in equivalent bonds with a bond order of 3/2.

Formal Charge: Finding the Best Structure

What is Formal Charge? ๐Ÿค”

Formal charge helps us determine the most stable and accurate Lewis structure. It's the charge assigned to an atom assuming all electrons in bonds are shared equally. It helps predict the best arrangement of electrons.

Quick Fact

Formal charge is a tool to evaluate the stability of Lewis structures, not the actual charge on an atom.

Calculating Formal Charge: The Easy Way ๐Ÿงฎ

Use the formula:

Formal Charge = (Valence Electrons) - (Lone Pair Electrons) - (Number of Bonds)

Memory Aid

Remember: Valence - Dots - Dashes (Valence electrons minus lone pair electrons minus number of bonds).

Let's look at the SCN- ion:

Formal charge calculation

  • Sulfur (S): 6 (valence) - 2 (dots) - 3 (dashes) = +1

When to Check Formal Charge? ๐Ÿง

Always check, especially when:

  • Dealing with elements beyond the second row (like P, S, Cl).
  • Multiple Lewis structures are possible.
  • You want to determine the most stable structure.

Example: Phosphate (PO4^3-) ๐Ÿงช

  1. Valence Electrons: 5 (P) + 4 * 6 (O) + 3 (charge) = 32

  2. Initial Structure: P in the center with 4 O atoms, single bonds, and full octets.

    PO4-3 initial structure

  3. Formal Charge Check:

    • P: 5 - 0 - 4 = +1
    • O: 6 - 6 - 1 = -1
  4. Optimize:

    • Reduce the formal charge on P by forming a double bond.

    PO4-3 optimized structure

  5. New Formal Charges:

    • P: 5 - 0 - 5 = 0
    • Three O: 6 - 6 - 1 = -1
    • One O: 6 - 4 - 2 = 0
Exam Tip

The most stable structure usually has the lowest formal charges, with negative charges on the most electronegative atoms.

Common Mistake

Don't forget that the sum of formal charges must equal the overall charge of the ion or molecule. In PO4^3-, the formal charges sum to -3.

Practice Question

Multiple Choice Question:

  1. What is the formal charge on the sulfur atom in the sulfate ion (SO4^2-), assuming all bonds are single bonds? (A) -2 (B) -1 (C) 0 (D) +2

  2. Which of the following statements is true regarding formal charge? (A) It represents the actual charge on an atom in a molecule. (B) It is used to determine the most stable Lewis structure. (C) It is always zero for all atoms in a stable molecule. (D) It is only applicable to ionic compounds.

Short Answer Question:

Calculate the formal charge of each atom in the following Lewis structure of the chlorite ion (ClO2-):

O-Cl-O

Free Response Question:

Consider the molecule carbon dioxide (CO2).

(a) Draw the Lewis structure for CO2. (b) Calculate the formal charge of each atom in the Lewis structure you drew in part (a).

(c) Explain why the formal charges in the Lewis structure you drew in part (a) are consistent with the stability of the molecule.

Answer Key

Multiple Choice Question:

  1. (D) +2
  2. (B) It is used to determine the most stable Lewis structure.

Short Answer Question:

Chlorine (Cl): 7 - 6 - 1 = 0 Oxygen (O): 6 - 6 - 1 = -1

Free Response Question:

(a) Lewis structure: O=C=O

(b) Formal charges: Carbon (C): 4 - 0 - 4 = 0 Oxygen (O): 6 - 4 - 2 = 0

(c) The formal charges of all atoms in the Lewis structure of CO2 are zero, which indicates that the electrons are localized and the structure is stable.

AP FRQ Practice: Let's Tackle Some Past Questions! ๐Ÿ’ช

Here are some past AP exam questions to test your skills. Remember, you've got this!

AP Chemistry Exam 2016 - #2e

The HCO3โˆ’ ion has three carbon-to-oxygen bonds. Two of the carbon-to-oxygen bonds have the same length and the third carbon-to-oxygen bond is longer than the other two. The hydrogen atom is bonded to one of the oxygen atoms. In the box below, draw a Lewis electron-dot diagram (or diagrams) for the HCO3 โˆ’ ion that is (are) consistent with the given information.

AP Chemistry Exam 2017 - #1c

S2Cl2 is a product of the reaction. In the box below, complete the Lewis electron-dot diagram for the S2Cl2 molecule by drawing in all of the electron pairs.

S2Cl2 incomplete structure

AP Chemistry Exam 2017 #2a

Two possible Lewis electron-dot diagrams for fulminic acid, HCNO, are shown below. Explain why the diagram on the left is the better representation for the bonding in fulminic acid. Justify your choice based on formal charges.

HCNO structures

Scoring Guidelines and Explanations

2016 #2e: HCO3- Breakdown

  • Valence Electrons: 1 (H) + 4 (C) + 3 * 6 (O) + 1 (charge) = 24

  • Central Atom: Carbon (C)

  • Resonance: Two resonance structures with a double bond between C and one of the O atoms.

    HCO3- resonance structures

  • Points: 1 point for correct Lewis structure, 1 point for showing resonance.

2017 #1c: S2Cl2 Completion

  • Complete Structure: Add lone pairs to complete the octets.

    S2Cl2 completed structure

  • Points: 1 point for the correct structure.

2017 #2a: HCNO Justification

  • Formal Charges:
    • Left Structure: C (0), O (-1)
    • Right Structure: C (-1), O (0)
  • Explanation: The left structure is better because it places the negative formal charge on the more electronegative oxygen atom.
  • Points: 1 point for correct formal charges, 1 point for correct justification.

Final Exam Focus ๐ŸŽฏ

High-Priority Topics

  • Resonance: Be able to draw all resonance structures, calculate bond orders, and understand the concept of resonance hybrids.
  • Formal Charge: Master the calculation of formal charge and use it to predict the most stable Lewis structure.
  • Lewis Structures: Practice drawing Lewis structures for molecules and polyatomic ions, including those with resonance and expanded octets.

Common Question Types

  • Multiple Choice: Identifying molecules with resonance, calculating bond orders, and determining formal charges.
  • Free Response: Drawing Lewis structures, resonance structures, and explaining the best structure based on formal charges.

Last-Minute Tips ๐Ÿ’ก

  • Time Management: Don't spend too much time on a single question. If you're stuck, move on and come back later.
  • Common Pitfalls: Double-check your valence electron counts and formal charge calculations.
  • Strategies: Draw resonance structures clearly with double-headed arrows and explain your reasoning for choosing the best structure.

You've Got This! ๐ŸŽ‰

Remember, you've prepared well, and you're ready to tackle the AP Chemistry exam. Stay calm, stay focused, and trust your knowledge. Good luck! You're going to do great!