8 Organic Chemistry — Conformational Analysis: Cycloalkane Chair Drawing and Interpretation

Question

Consider: Trans 1,2-dibromocyclohexane

  1. Draw the simple line structure.
  2. Draw the two chair confirmations numbering the carbons and labelling the positions as axial/equatorial.
  3. Identify which is the more stable structure.

 

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  1. Simple line-dash-wedge structure of trans 1,2-dibromocyclohexane
    Simple line-dash-wedge structure
  2. Chair conformations below:
      1. Conformation 1, bromine substituants in axial positions
        Chair conformation 1 for trans 1,2-dibromocyclohexane
        Chair conformation 1 with bromine substituants in axial positions
      2. Conformation 2, bromine substituants in equatorial positions
        Chair conformation 2 for trans 1,2-dibromocyclohexane
        Chair conformation 2 with bromine substituants in equatorial positions
  3. The conformation with the bulkiest groups in equatorial positions is most stable; 1,3-diaxial interactions are minimized.

Refer to Section 9.4: Cyclohexane- A Strain-Free Cycloalkane (1).

Strategy Map

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Check out the strategy map.

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Table 1: Strategy Map
Strategy Map Steps
1. Use the provided molecule name to draw its simple line structure.
2. Draw the templates of the two possible conformations.

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Refer to Section 9.4: Cyclohexane- A Strain-Free Cycloalkane (1).

3. Number the carbons one through six.
4. Label the axial and equatorial positions.
5. Convert your simple line structure into your two templates.
6. Compare the two conformations and identify which one would be the most stable.

Show/Hide Hint

The most stable conformation is the one that has the least number of interactions between substituent atoms. The larger, more electronegative atoms are favoured in the equatorial positions as they will be impacted by less interactions with surrounding atoms.

Refer to Section 9.5: Substituted Cyclohexanes (2).

Solution

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a. Simple Line Structure

Simple line-dash-wedge structure of trans 1,2-dibromocyclohexane

This molecule is trans, meaning one bromine is dashed back, and one is wedged forward. These bromines are on a six-carbon ring and attached to carbons one and two.

b. Chair conformations

  1. Conformation 1 — Both bromines are in axial positions.
    Chair conformation 1 for trans 1,2-dibromocyclohexane
  2. Conformation 2 — Both bromines are in equatorial positions.
    Chair conformation 2 for trans 1,2-dibromocyclohexane

c. Conformation 2 is the most stable.

It has the least 1,3-diaxial interactions between the bromine groups and surrounding atoms.

 

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 Ideas
Guided Solution
This question is a theory problem where you test your understanding of cycloalkane naming and chair conformations.

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Refer to Section 9.4: Cyclohexane- A Strain-Free Cycloalkane (1).

Recall how to sketch a line structure:

1. Identify if the structure is Cis or Trans.

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Trans 1,2-dibromocyclohexane
This means one substituent is dashed back, and one is wedged forward.

2. Determine if the parent chain is in the form of a chain or ring. (This will be at the end of the name).

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Cyclohexane diagram with corners numbered 1 to 6 starting from the top corner.
Cyclohexane

Trans 1,2-dibromocyclohexane

3. Identify substituent atoms and which carbons they are connected to.

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Cyclohexane diagram with two bromine atoms (substituent atoms) attached in different ways to corners 1 and 2.
Trans 1,2-dibromocyclohexane

Trans 1,2-dibromocyclohexane.

How to draw the chair conformation:

  1. Draw two slightly offset parallel lines.
  2. Draw another pair of parallel lines from the ends of the first pair.
  3. Connect with the third set of parallel lines.
  4. Start the first pair of lines at the opposite angle to draw its ring-flip conformer.
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Visualized steps of how to draw a chair conformation.
How to draw a chair conformation (Farmer et al. / LibreTexts) CC BY-SA license
Identify the axial and equatorial positions.  Identify if the structure is Cis or Trans.

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Axial positions in red:

Conformation 1 axial positions

 

Conformation 2 axial positions

 

Equatorial Positions in blue:

Conformation 1 equitorial positions

 

Conformation 2 equitorial positions

 

Convert your simple line structure to your chair conformation:

1. Match the numbered carbons from your line structure to your template.

2. Recall that substituents wedged forward will be on the higher (‘up’) position and the substituent dashed backwards will be on the lower (‘down’) position.

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Cyclohexane diagram with two bromine atoms (substituent atoms) attached in different ways to corners 1 and 2.

The two bromines from the simple line structure are highlighted in red in the chair conformation.
Simple line structure converted to a chair conformation
Identify the more stable conformation.

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The most stable conformation is the one that has the least number of interactions between substituent atoms. The larger, more electronegative atoms are favoured in the equatorial positions as they will be impacted by fewer interactions with surrounding atoms.

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Refer to Section 9.5: Substituted Cyclohexanes (2).

Table 3: Complete Solution
Complete Solution
a. Simple Line Structure

Simple line-dash-wedge structure of trans 1,2-dibromocyclohexane

This molecule is trans, meaning one bromine is dashed back and one is wedged forward. These bromines are on a six-carbon ring and attached to carbons one and two.

b. Chair Conformations

i. Conformation 1

Chair conformation 1 for trans 1,2-dibromocyclohexane

Both bromines are in axial positions. The bromine on carbon one is in the highest position, and the bromine on carbon two is in the lowest position.

ii. Conformation 2

Chair conformation 2 for trans 1,2-dibromocyclohexane

Both bromines are in equatorial positions. All axial and equatorial positions switch. The bromine on carbon one is in the highest position, and the bromine on carbon two is in the lowest position.

c. The equatorial conformation is the most stable.

It has the fewest interactions between the bromine groups and surrounding atoms because they are both in equatorial positions.

Check Your Work

To analyze if your answer is correct, evaluate which conformation has more equatorial positions and given the most space for any larger groups.

Why does this answer make chemical sense?

Show/Hide Answer

In the equatorial positions, the larger bromine atoms are the farthest away from all other substituent atoms. The more 1,3-diaxial interactions there are, the more energy the conformation requires, and the less stable the conformation would be.

PASS Attribution

Media Attributions

References

1. LibreTexts. 9.4: Cyclohexane- A Strain-Free Cycloalkane. In CHEM 1500: Chemical Bonding and Organic Chemistry. LibreTexts, 2023. https://chem.libretexts.org/Courses/Thompson_Rivers_University/CHEM1500%3A_Chemical_Bonding_and_Organic_Chemistry/09%3A_Organic_Chemistry_III_-_Conformational_Analysis/9.04%3A_Cyclohexane-_A_Strain-Free_Cycloalkane#How_to_Draw_the_Chair_Conformation.

2. LibreTexts. 9.5: Substituted Cyclohexanes. In CHEM 1500: Chemical Bonding and Organic Chemistry. LibreTexts, 2022. https://chem.libretexts.org/Courses/Thompson_Rivers_University/CHEM1500%3A_Chemical_Bonding_and_Organic_Chemistry/09%3A_Organic_Chemistry_III_-_Conformational_Analysis/9.05%3A_Substituted_Cyclohexanes.

3. Blackstock, L; Brewer, S.; Jensen, A. 9.2: Question 9.E.2 PASS – Cycloalkane Chair, Axial vs. Equatorial, Most Stable. In PASS Chemistry Book CHEM 1500. LibreTexts, 2023. https://chem.libretexts.org/Courses/Thompson_Rivers_University/PASS_Chemistry_Book_CHEM_1500/09%3A_Organic_Chemistry_III_-_Conformational_Analysis/9.03%3A_Question_9.E.2new_PASS_-_cycloalkane_chair_axial_vs._equatorial_most_stable.

4. Farmer, S.; Kennepohl, D.; Morsch, L.; Cunningham, K.; Reusch W., Bruner, R. 4.5: Conformations of Cyclohexane. In Organic Chemistry (Morsch et al.). LibreTexts, 2022. https://chem.libretexts.org/Bookshelves/Organic_Chemistry/Organic_Chemistry_(Morsch_et_al.)/04%3A_Organic_Compounds-_Cycloalkanes_and_their_Stereochemistry/4.05%3A_Conformations_of_Cyclohexane.

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