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Yeah, so pi bonds don't allow any rotation at all. An easy way to visualize this is to think of how sigma bonds are arranged tip to tip, so theres only one area of overlap between them (so they can rotate) but pi bonds are arranged side to side, so there are two areas of overlap between them. If a pi bond were to rotate, then the areas of overlap couldnt remain in contact, and so no rotation is allowed.
Pi bonds do not allow free rotation. The pi bond results in a rigid structure and the two molecules would rotate together and they would not be able to rotate freely in their own plane. If a pi bond did freely rotate, the bonding regions would not remain intact.
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