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91Ó°ÊÓ

Draw a splitting diagram for Hbwere

a.Jba= 12 Hz andJbc= 6Hz b.Jba= 12 Hz andJbc= 12Hz

Short Answer

Expert verified

The splitting of the Hb proton is shown below.

a.

b.

Step by step solution

01

Step-by-Step SolutionStep 1: Splitting of diagram (a) with different coupling constant values

Splitting diagram (a)

The signal for the Hb proton of the above diagram is a doublet of a doublet. The Hbsignal split into a doublet by Ha proton, and these resulted peaks split into a doublet by Hc proton. In the given diagram, the two sets Ha and Hb are non-equivalent protons and have different coupling constant values. Thus, multiplicity of signal can be determined using (Na+1) (Nb+1) rule, i.e., (1+1) (1+1) = 4.

Thus, two non-equivalent protons split into two doublets, resulting in a doublet of doublet signal for the Ha proton.

02

Splitting of diagram (b) with same coupling constant values

The signal for the Hb proton of the above diagram is a triplet. The diagram shows that the two sets, Ha and Hb, are non-equivalent protons and have the same coupling constant values. Thus, the two different Ha and Hb split a signal Ha the multiplicity can be calculated using the (N+1) rule, i.e., (2+1) = 3.

Thus, two non-equivalent protons split into triplets because of the same coupling constant values.

Splitting diagram (b)

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