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number 2
Relevant i = 12 nuclei and relative natural abundances are as follows (assume all other nuclei are spin inactive): 19F (1 = /
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Question 2.

a) Doublet will appear

Explanation: Phosphorus couples with 29Si, multiplicity of the signal = 2nI + 1 = 2*1*1/2 + 1 = 2 (doublet).

b) Quartet of doublet will appear

Explanation: Phosphorus first couples with equatorial 19F, multiplicity of the signal = 2nI + 1 = 2*3*1/2 + 1 = 4 (quartet), followed by coupling with axial19F, multiplicity of the signal = 2nI + 1 = 2*1*1/2 + 1 = 2 (doublet). Hence, each line of the quartet will further split into doublet, i.e. quartet of doublet.

c) Quartet of triplet will appear

Explanation: Phosphorus first couples with equatorial 19F, multiplicity of the signal = 2nI + 1 = 2*3*1/2 + 1 = 4 (quartet), followed by coupling with 1H, multiplicity of the signal = 2nI + 1 = 2*2*1/2 + 1 = 3 (triplet). Hence, each line of the quartet will further split into triplet, i.e. quartet of triplet.

d) Sextet (at room temperature); quartet of triplet (at low temperature) will appear.

Explanation: At room temperature, all the five F's undergo rapid exchange from axial to equatorial, hence the multiplicity of the signal = 2nI + 1 = 2*5*1/2 + 1 = 6 (sextet). At low temperature such as -78oC,  phosporus first couple with equatorial 19F, multiplicity of the signal = 2nI + 1 = 2*3*1/2 + 1 = 3 (quartet), followed by coupling with axial 19F, multiplicity of the signal = 2nI + 1 = 2*2*1/2 + 1 = 3 (triplet). Hence, each line of the quartet will further split into triplet, i.e. quartet of triplet.

e) Dectet will appear.

Explanation: Phosphorus couples with 19F, multiplicity of the signal = 2nI + 1 = 2*9*1/2 + 1 = 10 (dectet).

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