{"knowledge_schema": {"broad_category": "Physics \u2192 Atomic 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 3p state of Sodium-23, utilizing the given parameters such as nuclear charge, electron charge, and the 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 function constants and the degeneracy ratio. The theoretical lifetime will then be compared to the experimentally measured lifetime of 16.2 ns to find the multiple difference. The answer will indicate how many times longer or shorter the theoretical lifetime is compared to the experimental value."}