University Physics III · Atomic Physics · 10.06
Electron spin and the Stern-Gerlach experiment
Two-valued beam splitting in an inhomogeneous field, spin one-half with two projections, the spin magnetic moment with a g factor of about 2.0023, and spin as intrinsic; no spinning-sphere picture survives, because a classical sphere of that size would need a surface speed above c, and the departure of g from exactly 2 needs quantum electrodynamics.
Course-map guide · not a complete lesson or simulationScope & orientation
What this subsection covers
Two-valued beam splitting in an inhomogeneous field, spin one-half with two projections, the spin magnetic moment with a g factor of about 2.0023, and spin as intrinsic; no spinning-sphere picture survives, because a classical sphere of that size would need a surface speed above c, and the departur…A strong response uses radial probability density plots and states where the model stops being reliable.
Reasoning checklist
Evidence, assumptions and limits
Assumptions to state
State the system, observable, approximation, and conditions held fixed before using a model.
Evidence to collect
Where do numerically integrated hydrogen radial functions place the most probable radius, and how does it compare with the Bohr radius for each n and l?
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Where do numerically integrated hydrogen radial functions place the most probable radius, and how does it compare with the Bohr radius for each n and l? Useful evidence includes radial solutions, normalisation checks, plots of the radial probability density formed as r-squared times the modulus-squared radial function, most probable and mean radii, grid-convergence tests, and a stated non-relativistic fixed-nucleus limit.
Limits to state
This GioPhysics course map is an adaptable learning sequence, not academic credit, accreditation, or a universal university syllabus.
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This GioPhysics course map is an adaptable learning sequence, not academic credit, accreditation, or a universal university syllabus. Third-semester content is the least standardised of the introductory sequence: departments place oscillations, waves, optics, and thermal physics differently, and the modern-physics units here are a bounded survey rather than a complete course in relativity, quantum mechanics, atomic, nuclear, or particle physics. Follow your institution's published scope, notation, laboratory programme, and assessment rules. A result should be checked against units, signs, limiting cases, and the conditions under which its model was derived.
Diagram & examples
Work the claim before choosing an equation
Interactive concept map
Follow the model from claim to evidence.
Model, evidence, and boundary
When should a model used for Electron spin and the Stern-Gerlach experiment be revised?
modelModel, evidence, and boundary turns the stated idea into a representation that can make a prediction.
Example questions
Try the reasoning before revealing the structure.
When should a model used for Electron spin and the Stern-Gerlach experiment be revised?
Quick check
Test the reasoning, not recall
When should a model used for Electron spin and the Stern-Gerlach experiment be revised?
Choose an answer to test the model.