How do you find the gauche number?

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In the discussion about determining the gauche number in staggered conformations, particularly for 2,3-dimethylbutane, participants clarify that the gauche number refers to the count of gauche interactions present in the molecule. It is noted that in the staggered conformation of 2,3-dimethylbutane, there are two gauche interactions due to the arrangement of the four methyl groups. For chair conformations, specifically in cyclohexane derivatives, visualizing the molecule and identifying interactions is essential to determine the gauche number. Drawing the structure helps in recognizing these interactions more clearly. The concept of gauche interactions is confirmed to be based on the number of such interactions present in the conformation.
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In a staggered confirmation of 2,3-dimeythlbutane, how do you find the gauche number? For that matter, how do you find any gauche number for a chair confirmation? I'm having a hard time understanding it through my book's description.
 
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Hmm, I'm not familiar with the terminology of "gauche number." Perhaps it just means the number of gauche interactions present? Yeah, without drawing a lot of pictures and looking at the bonds this way and that it's tough to see these conformations most of the time. In staggered 2,3-dimethylbutane I see 2 total interactions that I would call gauche. (4 methyl groups to consider, 2 pairs in gauche). Maybe that's the gauche number (2)?

For any chair conformation? I suppose you mean of cyclohexyl rings, I dunno?

You just have to draw the picture out from the perspective that you can see where the interactions for whatever you're talking about are "gauche."
 
Thank you for your help. I met with my professor and he explained it...it was # of gauche interactions. Again thanks for your help.
 
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