Solution

ID: past-exam-of-the-chemistry-course-of-the-year-1-of-the-natural-sciences-course-of-the-university-of-cambridge/2025/2/a/i/solution

For a hydrogen-like ion, the Coulomb potential is stronger by the nuclear atomic number , and the energy levels scale as :
Here is the number of protons in the atomic nucleus; the ion has exactly one electron, so its net electric charge is . The zero of energy is a separated stationary electron and atomic nucleus at infinite distance. This is the nonrelativistic hydrogenic approximation using the supplied ; a more precise isotope-specific result also corrects the reduced mass.

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