Chapter 8: Problem 59
Draw three resonance structures for hydrazoic acid \(\left(\mathrm{HN}_{3}\right)\) The atomic arrangement is HNNN. Show formal charges.
Short Answer
Expert verified
HN₃ has three resonance structures: H-N≡N-N⁻, H-N⁻=N=N⁰, H⁰-N-N⁺≡N²⁻.
Step by step solution
01
Understanding Resonance Structures
In resonance structures, atoms are arranged in the same pattern but the placement of electrons differs. For hydrazoic acid (HN₃), you'll draw Lewis structures: the hydrogen (H) connected to a nitrogen atom, followed by two more nitrogen atoms connected sequentially (H-N-N-N). Then, distribute the electrons to fulfill the octet rule and minimize formal charges.
02
Drawing the First Resonance Structure
Begin drawing the first structure by arranging the atoms: H on one end, followed by three sequential N atoms. Form a triple bond between the first and second N and a single bond between the second and third N. Assign the remaining electrons to complete octets and determine formal charges. This gives H-N≡N-N- with formal charges of 0 on H, +1 on the second N, 0 on the third N, and -1 on the last N.
03
Drawing the Second Resonance Structure
For the second resonance structure, rearrange the pi (π) electrons by shifting a lone pair from the N atoms. Form a double bond between the first two N atoms and a double bond with the subsequent N. It results in the structure H-N=N=N with formal charges: H (0), first N (0), second N (0), and last N (-1).
04
Drawing the Third Resonance Structure
In the third structure, change the bonding so there's a single bond connecting H and the first N, a double bond between the second and third N atoms, and another single bond between them. This looks like H-N-N≡N with formal charges: H (0), first N (0), second N (+1), and third N (-2).
05
Evaluate and Verify Formal Charges
Check each resonance structure by calculating the formal charge for each atom using the formula: \( ext{Formal Charge} = ext{Valence Electrons} - ( ext{Lone Pair Electrons} + rac{ ext{Bonding Electrons}}{2}) \). Ensure the sum of the formal charges equals the total charge of the molecule, which is zero for HN₃.
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Key Concepts
These are the key concepts you need to understand to accurately answer the question.
Lewis Structures
Lewis structures are diagrams that represent the covalent bonds between atoms in a molecule, alongside any lone (non-bonded) electron pairs. To create a Lewis structure for a molecule, follow these steps:
- Identify and arrange the atoms in the correct sequence, often based on their connectivity or layout within a chemical formula.
- Determine the number of valence electrons for each atom and sum them up for the entire molecule.
- Distribute electrons around the atoms to fulfill the octet rule, which means most atoms will have eight electrons in their outer shell (except hydrogen, which is satisfied with two).
- Form bonds by sharing electron pairs, thus connecting the atoms.
- Adjust electron placement to create double or triple bonds as necessary, ensuring no violations of the octet rule occur.
Formal Charges
Formal charges are a method to assess the distribution of electrons in a molecule. They help establish the most stable Lewis structure by indicating excess or deficit of electrons on an atom. To calculate the formal charge:
Use the formula: \[ \text{Formal Charge} = \text{Valence Electrons} - (\text{Lone Pair Electrons} + \frac{\text{Bonding Electrons}}{2}) \]
Use the formula: \[ \text{Formal Charge} = \text{Valence Electrons} - (\text{Lone Pair Electrons} + \frac{\text{Bonding Electrons}}{2}) \]
- Valence Electrons: number of electrons in an atom's outer shell.
- Lone Pair Electrons: electrons not involved in bonding.
- Bonding Electrons: electrons shared between atoms.
Octet Rule
The octet rule is a key guideline for understanding electron distribution in chemical bonds. It states that atoms tend to form bonds in order to have eight electrons in their valence shell, thus achieving a stable electronic configuration similar to noble gases.
- Most atoms follow this rule in their compounds, such as carbon, nitrogen, and oxygen.
- Exceptions include hydrogen, which is stable with two electrons, and other atoms that can have expanded octets like phosphorus and sulfur.
Hydrazoic Acid
Hydrazoic acid, a compound with the formula \( \text{HN}_3 \), presents interesting characteristics in chemistry due to its resonance. It contains one hydrogen and three nitrogen atoms, making its structure formation intriguing for chemists.
- As a linear molecule, HN₃ can exhibit multiple resonance structures contributing to its overall stability.
- Determining the possible electron distributions helps to predict its behavior and reactions.
Pi Electrons
Pi (\(\pi\)) electrons are those found in the "p" orbitals that participate in double and triple bonds within a molecule. Unlike sigma bonds, which involve head-on overlapping, pi bonds arise from the side-to-side overlap of p orbitals. This makes them key to understanding molecular resonance.
- In resonance structures, pi electrons can be shifted to explore alternative bonding scenarios.
- These shifts allow multiple valid structures, each contributing to the molecule's stability.