Physics / advanced
Atomic spectra and light-matter transitions
Build atomic structure from angular momentum and approximation methods, then connect fine structure, hyperfine effects, and spectral line measurements.
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Module 01 advanced
Atomic spectra and light-matter transitions
Build atomic structure from angular momentum and approximation methods, then connect fine structure, hyperfine effects, and spectral line measurements.
- 01
Hydrogen fine-structure corrections
Separate Coulomb binding, relativistic corrections, and the approximations behind hydrogenic fine structure.
28 min - 02
Spin-orbit coupling and atomic multiplets
Construct LS-coupled terms and use angular-momentum algebra to predict fine-structure intervals.
28 min - 03
Hyperfine splitting and nuclear spin
Couple nuclear and electronic angular momenta and distinguish magnetic-dipole from electric-quadrupole hyperfine terms.
28 min - 04
Zeeman spectra and the Paschen–Back limit
Choose weak- or strong-field angular-momentum labels by comparing magnetic and internal coupling energies.
28 min - 05
Stark shifts and atomic polarizability
Derive quadratic shifts for isolated parity states and identify the degenerate regime that permits linear Stark splitting.
28 min - 06
Many-electron atoms and Hund’s rules
Use antisymmetry, exchange, and state counting to interpret the empirical ordering of atomic LS terms.
28 min - 07
Hartree–Fock atomic orbitals
Build the self-consistent determinant approximation and distinguish orbital energies from total atomic energies.
28 min - 08
Electric-dipole transition rates
Connect dipole matrix elements, parity, and angular-momentum selection rules to rates, lifetimes, and branching fractions.
28 min - 09
Natural, Doppler, and collision linewidths
Derive linewidths with explicit FWHM and frequency conventions and separate homogeneous from inhomogeneous broadening.
28 min - 10
Lamb shift and precision spectroscopy
Separate radiative, recoil, and nuclear contributions and interpret precision measurements through explicit correction models.
28 min