A spectroscopy experiment measures the Lyman-alpha transition energy of hydrogen ( )…
PHYSICS · Multi-part · Fermi University Physics · Quantum Mechanics · Atomic, Molecular & Optical Physics · One-electron atoms and the origins of atomic structure
The Structure of Quantum Mechanics, Ch Hydrogen, and the symmetry that explains it
Problem
A spectroscopy experiment measures the Lyman-alpha transition energy of hydrogen (10.2eV) to a fractional precision of 1 part in 105. Using the relative sizes of the neglected effects (reduced mass 5.4×10−4, fine structure 5×10−5, Lamb shift 2×10−6, hyperfine structure 4×10−7, each a fraction of the transition energy):
((a)) Estimate the absolute size, in eV, of each of the four effects for this transition.
((b)) State which of the four effects the stated experimental precision could resolve.