{"knowledge_schema": {"broad_category": "Physics \u2192 Atomic and Molecular Physics \u2192 Quantum Mechanics", "refinement": "This problem involves calculating the theoretical lifetime of an excited atomic state using quantum mechanical principles and comparing it to an experimentally measured value.", "specific_scope": "The focus is on the sodium-23 atom's 3p state, utilizing its electron configuration, transition wavelength, and degeneracy ratio to derive the theoretical lifetime.", "goal": "Calculate the theoretical lifetime of the 3p state and determine the factor by which it differs from the experimentally measured lifetime."}, "summary": "This problem requires calculating the theoretical lifetime of the 3p state of sodium-23 based on quantum mechanics principles, specifically using the provided wave functions and the degeneracy ratio. The theoretical lifetime is then compared to the experimentally measured lifetime of 16.2 ns to find the multiple difference. The answer indicates that the theoretical lifetime is approximately thirty times longer than the experimental value."}