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Practice question

Question

How many spin states does a nucleus with I = 3/2 have?

Options

Choose one · Correct answer highlighted

Explanation

Spin multiplicity follows rule 2I+1, counting magnetic sublevels mI ranging from -I to +I in integer steps. This quantization defines distinct energy states available for transition under radiofrequency irradiation. For I equals 3/2, allowed mI values are -3/2, -1/2, +1/2, +3/2, giving four orientational states. Such quadrupolar nuclei like 23Na, 35Cl exhibit line broadening due to electric quadrupole moment interaction. Understanding multiplicity explains spectral complexity of ions crucial for cellular electrolyte homeostasis, nerve conduction, and enzyme cofactor binding in biological contexts.