KnowraFine structureLinked fromLinked fromThe 23 pages that link to Fine structure, each with the reason it gives.All 23Broader topic 3Related 16Compared with 4Zeeman effectRelated: Magnetic splitting interacts with fine-structure coupling, especially in the anomalous effect.Hydrogen atomBroader topic: It refines hydrogen’s basic energy levels beyond the nonrelativistic model.Energy levelRelated: It shows how corrections divide levels that simpler models treat as identical.SpinRelated: Electron spin and spin–orbit interaction contribute to these spectral splittings.Lamb shiftCompared with: The Lamb shift is distinct: it arises from radiative corrections beyond the Dirac spectrum.Fine-structure constantBroader topic: The constant sets the size of these corrections relative to gross atomic energies.Hyperfine structureCompared with: It is the larger, electronic counterpart that hyperfine structure further divides.Rydberg formulaCompared with: The basic formula groups levels that finer measurements show are split.Arnold SommerfeldRelated: Sommerfeld used relativistic corrections to account for fine structure in hydrogen spectra.Principal quantum numberRelated: It shows that energy levels can split even when a principal shell is specified.Relativistic effectRelated: Atomic fine structure is a measurable spectroscopic signature of relativistic corrections.Atomic energy levelBroader topic: It resolves a level into nearby energies that simpler models treat as degenerate.Optical pumpingRelated: It determines the electronic states and transition strengths used in pumping.Stark effectCompared with: It splits levels even without an externally applied electric field.Hydrogen spectral seriesRelated: Fine structure subdivides hydrogen lines beyond the simple series predicted by basic energy levels.Spin quantum numberRelated: Electron spin helps explain characteristic atomic energy-level splittings.Magnetic quantum numberRelated: It makes the distinction between orbital and total angular-momentum labels consequential.Rydberg constantRelated: These corrections refine spectral predictions beyond the scale set by the Rydberg constant.Sommerfeld modelRelated: Sommerfeld’s relativistic orbit energies explained part of hydrogen’s fine-structure splitting.Hydrogen-like atomRelated: It separates levels that the basic nonrelativistic Coulomb model treats as degenerate.Landé g-factorRelated: Fine-structure levels supply the atomic terms whose magnetic responses the factor describes.Willis LambRelated: Lamb’s comparison isolated a shift beyond the degeneracy predicted after fine-structure effects.Relativistic quantum mechanicsRelated: Relativistic electron equations account for key contributions to atomic fine structure.
KnowraFine structureLinked fromLinked fromThe 23 pages that link to Fine structure, each with the reason it gives.All 23Broader topic 3Related 16Compared with 4Zeeman effectRelated: Magnetic splitting interacts with fine-structure coupling, especially in the anomalous effect.Hydrogen atomBroader topic: It refines hydrogen’s basic energy levels beyond the nonrelativistic model.Energy levelRelated: It shows how corrections divide levels that simpler models treat as identical.SpinRelated: Electron spin and spin–orbit interaction contribute to these spectral splittings.Lamb shiftCompared with: The Lamb shift is distinct: it arises from radiative corrections beyond the Dirac spectrum.Fine-structure constantBroader topic: The constant sets the size of these corrections relative to gross atomic energies.Hyperfine structureCompared with: It is the larger, electronic counterpart that hyperfine structure further divides.Rydberg formulaCompared with: The basic formula groups levels that finer measurements show are split.Arnold SommerfeldRelated: Sommerfeld used relativistic corrections to account for fine structure in hydrogen spectra.Principal quantum numberRelated: It shows that energy levels can split even when a principal shell is specified.Relativistic effectRelated: Atomic fine structure is a measurable spectroscopic signature of relativistic corrections.Atomic energy levelBroader topic: It resolves a level into nearby energies that simpler models treat as degenerate.Optical pumpingRelated: It determines the electronic states and transition strengths used in pumping.Stark effectCompared with: It splits levels even without an externally applied electric field.Hydrogen spectral seriesRelated: Fine structure subdivides hydrogen lines beyond the simple series predicted by basic energy levels.Spin quantum numberRelated: Electron spin helps explain characteristic atomic energy-level splittings.Magnetic quantum numberRelated: It makes the distinction between orbital and total angular-momentum labels consequential.Rydberg constantRelated: These corrections refine spectral predictions beyond the scale set by the Rydberg constant.Sommerfeld modelRelated: Sommerfeld’s relativistic orbit energies explained part of hydrogen’s fine-structure splitting.Hydrogen-like atomRelated: It separates levels that the basic nonrelativistic Coulomb model treats as degenerate.Landé g-factorRelated: Fine-structure levels supply the atomic terms whose magnetic responses the factor describes.Willis LambRelated: Lamb’s comparison isolated a shift beyond the degeneracy predicted after fine-structure effects.Relativistic quantum mechanicsRelated: Relativistic electron equations account for key contributions to atomic fine structure.