Question

2. [15] This question deals with the spin-spin coupling patterns observed in 'H NMR spectroscopy. When there are 4 protons bound to an adjacent carbon atom of another proton, the peak of that proton is split into a quintet (n+1 rule). The pattern of intensities of this quintet is l:4:6:4:1. These are derived assuming the a proton has an equal probability of being in a spin up or spin down state. Now consider that we are performing our experiment under conditions, where the probability of a proton being spin up is 70% and the probability of a proton being spin down is 30%. Assume that a net spin up configuration will result in the splitting of the signal to higher chemical shift or more downfield. Derive the pattern of intensities for the quintet in percentages of the total. in The percentages should add to 100%. For example, the 1:4:64:1 splitting pattern in terms of percentages is: 6.25% : 25.00% : 37.50% : 25.00% : 6.25%, which adds to 100%. . .The probability of two independent events occuring is the product of the individual probabilities. For example, the probability of throwing two coins and obtaining two heads is: P--x or 25 % 2 2 4 or the probability of throwing three coins and obtaining three heads is P--x- x 2 2 28 or 12.5 %

Answer 1

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