Task 2: experimentally determine mu2

[drusse]

First, measure the hyperfine coupling constant a1 and a2 for both isotopes using the experimental setup. Since both are the same element, the electronic configuration and total angular momentum J are identical, and the magnetic field B_J produced by the electrons remains constant.

However, the nuclear spin I and magnetic moment mu vary because they depend on the specific isotope’s nuclear composition. By relating the measured constants to the formula a ~ (mu B_J) / (I J), the common electronic terms B_J and J cancel out. This allows you to solve for the unknown value using the final proportionality: mu2 = (mu1 a2 I2) / (a1 I1).

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