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Question:Using the Woodward–Hoffmann rules, predict the stereochemical pathway for each cycloaddition:

(a) a [6 + 4] photochemical reaction;

(b) an [8 + 2] thermal reaction.

Short Answer

Expert verified

(a) Antarafacial

(b) Suprafacial

Step by step solution

01

 Step 1: Woodward-Hoffmann rule for cycloaddition

The cycloaddition reactions also abide by a set of rules known as the Woodward-Hoffmann rule. In this case, the number of pi-bonds refers to the total number of pi-bonds, including the two reacting systems.

For a given system, the mode of cycloaddition bonding is different in thermal and suprafacial reaction conditions.

  • If the number of pi bonds is even, then thermal reaction stereochemistry is antarafacial.
  • If the number of pi bonds is even, then photochemical reaction stereochemistry is suprafacial.
  • If the number of pi bonds is odd, then thermal reaction stereochemistry is suprafacial.
  • If the number of pi bonds is odd, then photochemical reaction stereochemistry is antarafacial.
02

[6+4] Photochemical reaction

According to the Woodward-Hoffmann set of rules, an [6+4] addition refers to two systems, one having 3 pi-bonds (6) and the other having 2 pi-bonds (4). Thus, the total number of pi-bonds in the system is 5, which is odd.

Hence, the mode of bond formation for a [6+4] cycloaddition under photochemical conditions is antarafacial.

An example of a [6+4] cycloaddition is given below:

[6+4] cycloaddition

03

[8+2] thermal reaction

According to the Woodward-Hoffmann set of rules, an [8+2] addition refers to two systems, one having 4 pi-bonds (6) and the other having 1 pi-bonds (4). Thus, the total number of pi-bonds in the system is 5, which is odd.

Hence, the mode of bond formation for a [6+4] cycloaddition under thermal conditions is suprafacial.

[8+2] cycloaddition

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