Organic Chemistry — Bonding and Structure: Identify Hybridization and Sketch Orbital Overlap

Question

For the molecule acetonitrile:  

A model of an acetonitrile molecule.
An acetonitrile molecule (Farmer et al. / LibreTexts) CC BY-SA 4.0 license
  1. How many sigma and pi bonds does it have?
  2. What orbitals overlap to form the C-H sigma bonds?
  3. What orbitals overlap to form the C-C sigma bonds?
  4. What orbitals overlap to form the C-N sigma bonds?
  5. What orbitals overlap to form the C-N pi bonds?
  6. What orbital contains the lone pair electrons on nitrogen?
  7. Sketch the molecule showing the hybridized atomic orbital ‘cloud’ overlap.

 

Show/Hide Answer
  1. 5 sigma and 2 pi.
  2. A sp3 hybrid orbital from carbon and an s orbital from hydrogen.
  3. A sp3 hybrid orbital from one carbon and a sp hybrid orbital from another carbon.
  4. A sp hybrid orbital from carbon and a sp orbital from nitrogen.
  5. A py and a pz orbital from carbon and a py and pz orbital from nitrogen.
  6. A sp hybrid orbital.
  7. Sketch below:

A sketch of the hybridized atomic orbital ‘cloud’ overlap.

Refer to Section 7.1.7: sp Hybrid Orbitals and the Structure of Acetylene (1).

Strategy Map

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Check out the strategy map.

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Table 1: Strategy Map
Strategy Map Steps
1. Count the number of single bonds (sigma) the molecule has.

Show/Hide Hint

There is a single bond between every single atom.

2. Count the number of double and triple bonds (pi) the molecule has.

Show/Hide Hint

Double and triple bonds are represented as second and third lines along a single bond.

3. Identify the hybridization of center atoms (the two carbon atoms).

Show/Hide Hint

The hybridization of the center atoms will depend on their electron domain geometry.

4. Identify the hybridization of the outer atoms, if any.
5. Identify which atoms are overlapping. The hybrid orbitals that overlap will depend on steps 3 and 4.
6. Sketch your diagram showing all overlaps and ensure you label everything.

Solution

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a. 5 sigma (single bonds) and 2 pi (one double and one triple bond).

b. A sp3 hybrid orbital from carbon and an s orbital from hydrogen.

The hydrogen atoms are all unhybridized.

c. A sp3 hybrid orbital from one carbon and a sp hybrid orbital from another carbon.

Both carbons are hybridized, but their electron domain geometries are not the same, meaning their hybridizations are different.

d. A sp hybrid orbital from carbon and a sp orbital from nitrogen.

Both carbon and nitrogen have a sp hybridization.

e. A py and a pz orbital from carbon and a py and pz orbital from nitrogen.

The ‘Y’ and ‘Z’ mean they have slightly different orientations.

f. A sp hybrid orbital.

Nitrogen has a linear electron domain geometry, meaning it has a sp hybridization in both directions.

g. Hand-drawn sketch below:

A sketch of the hybridized atomic orbital ‘cloud’ overlap.

 

Guided Solution

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The guided solution below will give you the reasoning for each step to get your answer, with reminders and hints.

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Table 2: Guided Solution
Guided Solution Ideas
This is a theory type problem that tests your knowledge on atomic orbital hybridization. You must correctly identify the hybridization of multiple atoms in a molecule and sketch the orbital overlaps.

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Refer to Section 7.1.7: sp Hybrid Orbitals and the Structure of Acetylene (1).

What are sigma and pi bonds?

Recall that:

  • Sigma bonds are your single bonds.
  • Pi bonds are your double and triple bonds.
Show/Hide Don’t Forget!

There is at least one sigma bond between each atom.

Look at the bonds between your carbon and your nitrogen. How many lines do you see?

How do you identify atomic orbital hybridization?

  1. Identify the electron domain geometry of your central atom. (in this case, the center atoms are carbons).
  2. Your electron domain geometry will tell you the number of bonding directions attached to your atom.
  3. Each bonding direction represents an orbital needed.
Show/Hide Think About This!

For instance, a tetrahedral must make four bonds, so it has an s+p+p+p (sp3) hybridization.

  1. Identify if your outer atoms require hybridization (if they do, they will also have multiple bonding directions, including lone pairs).
How do you know which orbitals are overlapping?

Show/Hide Think About This!

Each bond that is between the atoms will be an overlap. The hybridization of the orbitals will depend on the two atoms the bond is between.

How do you sketch the orbital overlaps?

  1. Begin by drawing your center atom with its orbitals in the shape of its electron domain geometry. (it is okay if they look like “sausages” if you label them with their hybridization)
  2. Overlap these orbitals with orbitals representing the outer atoms.
  3. Label these as sigma bonds.
  4. The orbitals that overlap to form pi bonds are longer and skinnier than the sigma bonds. They overlap sideways, and therefore, connect above and below the sigma bond.
Table 3: Complete Solution
Complete Solution
a. 5 sigma (single bonds) and 2 pi (one double bond and one triple bond).

There will always be a single bond between each atom in the molecule. A second or third line next to the single bond represents a double or triple bond. Count these in your Lewis structure form to identify the sigma and pi bonds.

b. A sp3 hybrid orbital from carbon and an s orbital from hydrogen.

This carbon atom makes bonds in four directions, which gives it a sp3 hybridization. Three of these directions are hydrogen atoms. All of these hydrogens are unhybridized and have s orbitals. When the orbitals from the hydrogens and carbon overlap, they form a sigma bond.

c. A sp3 hybrid orbital from one carbon and a sp hybrid orbital from another carbon.

Although both atoms are hybridized, they have a different number of bonding directions, and therefore, one is sp3 and the other is sp.

d. A sp hybrid orbital from carbon and a sp orbital from nitrogen.

Both atoms bond in two different directions giving them sp orbital hybridization.

e. A py and a pz orbital from carbon and a py and pz orbital from nitrogen.

These are the pi bonds. They are labelled with ‘Y’ and ‘Z’ as they have slightly different orientations on the axis. Pi orbitals make bonds above and below the sigma bond as they overlap sideways.

f. A sp hybrid orbital.

Nitrogen has two electron domain directions. One is towards the carbon in a triple bond, and the other is towards its lone pair; therefore, it has two hybridized sp orbitals. The orbital that contains nitrogen’s lone pair is an sp orbital.

g. Hand-drawn sketch below:

A sketch of the hybridized atomic orbital ‘cloud’ overlap.

 

Check Your Work

Review your answers with the sketch and the structure to make sure you have tracked all the bonds and orbitals correctly. There are sigma bonds between each of the connected atoms, and the two pi bonds are the second and third bond between the C and N. Make sure that your identified orbitals match the electron domain geometry.

Does your answer make chemical sense? 

Show/Hide Answer

Hybridized orbitals are created so all single bonds are made by the same orbitals and are equal. This is why hybridization will depend on the number of bonding directions the atom makes. The hybridization will likely vary between the atoms in the bond but will remain consistent within an atom itself.

PASS Attribution

Media Attributions

References

1. Farmer, S.; Kennepohl, D.; Cunningham, K.; Soderburg, T.; Reusch, W. 7.1.7: sp Hybrid Orbitals and the Structure of Acetylene. In CHEM1500: Chemical Bonding and Organic Chemistry. LibreTexts, 2023. https://chem.libretexts.org/Courses/Thompson_Rivers_University/CHEM1500%3A_Chemical_Bonding_and_Organic_Chemistry/07%3A_Organic_Chemistry_I_-_Bonding_and_Structure/7.01%3A_Bonding_and_Structure_I-_Review_of_Bonding/7.1.07%3A_sp_Hybrid_Orbitals_and_the_Structure_of_Acetylene.

2. Blackstock, L.; Brewer, S.; Jensen, A. PASS Chemistry Book CHEM 1510/1520; LibreTexts, 2023. https://chem.libretexts.org/Courses/Thompson_Rivers_University/PASS_Chemistry_Book_CHEM_1510%2F%2F1520.

3. Farmer, S.; Kennepohl, D.; Cunningham, K.; Soderburg, T.; Reusch, W. 1.9: sp Hybrid Orbitals and the Structure of Acetylene. In Organic Chemistry (Morsch et al.). LibreTexts, 2023. https://chem.libretexts.org/Bookshelves/Organic_Chemistry/Organic_Chemistry_(Morsch_et_al.)/01%3A_Structure_and_Bonding/1.09%3A_sp_Hybrid_Orbitals_and_the_Structure_of_Acetylene.

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