Distance between atoms in a bond

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The discussion revolves around the bond lengths in 1,3-butadiene, specifically the observed distance between the two central carbon atoms, which is 146 pm, differing from the expected C=C bond length of 133 pm. The central carbon atoms, identified as C2 and C3, are involved in a double bond, yet their measured distance is greater than the typical C=C bond length. This discrepancy can be explained by considering the hybridization of the carbon atoms. All four carbon atoms in 1,3-butadiene are sp2 hybridized, which influences their bonding and spatial arrangement. The presence of conjugation in the molecule also affects the bond lengths, as the delocalization of electrons can lead to variations in bond distances. Understanding these concepts is crucial for grasping why the observed distance differs from the standard bond lengths provided in textbooks.
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Here's the question:

The structure of 1,3-butadiene is usually written as H2C=CH–CH=CH2. The average bond lengths given in Table 9.2 in my textbook are: C–C of 154 pm and C=C of 133 pm. Explain the fact that the observed value of the distance between the two central carbon atoms in 1,3-butadiene is 146 pm.

Are the 2 central carbon atoms the 2 carbons that have a double bond between each other? If so, the distance of C=C is equal to 133pm so why would the distance between the 2 central carbon atoms that are double bonded be different? How else would I answer this question? THanks.
 
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Number the carbon atoms from 1-4, beginning to end of chain; "central" means "middle" of chain.
 
Bystander said:
Number the carbon atoms from 1-4, beginning to end of chain; "central" means "middle" of chain.
so the central carbon atoms would be the ones in CH-CH. But I'm still not getting why the distance between these would be different than the given C-C distance.
 
You've seen/read a discussion of sp2, and/or sp3 hybrid orbitals?
 
Bystander said:
You've seen/read a discussion of sp2, and/or sp3 hybrid orbitals?
yeah i have, maybe its super obvious and I'm not seeing the connection?
 
What are the hybrids for 1, 2, 3, and 4?
 
Google conjugation.
 
Bystander said:
What are the hybrids for 1, 2, 3, and 4?
1 would be sp2, assuming it has 2 bonds to H and one double bond to C2
2 would be sp2, assuming it has 1 double bond to C1, 1 bond to H and another bond to C3
3 would be sp2, assuming it has 1 bond to C2, 1 bond to H and one double bond to C4
4 would be sp2, assuming it has one double bond to C3, and 2 bonds to H
 

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