Subject 25 · Quantum
Chapter 25
Quantum
Start where classical physics fails: photons, matter waves, probability, uncertainty, quantised atomic energy, nuclear size, and the calculus behind decay and wave functions.
Build quantum one idea at a time.
Start with the foundations, then explore advanced ideas and calculus at the depth your course needs.
6 of 6 lessons
The Photoelectric Effect
Connect photon energy, work function, threshold frequency, and electron kinetic energy.
Matter Waves
Use de Broglie wavelength for electron diffraction and microscopy.
Wave Functions & Uncertainty
Read probability from |ψ|² and reason about tunnelling and trade-offs.
The Bohr Model & Energy Quantisation
Connect quantised angular momentum with hydrogen spectra.
The Quantum Nucleus
Use scattering, nuclear radius, density, and neutrino evidence.
Quantum Calculus
Solve decay, integrate Coulomb work, and compute expectation values.
Change one variable. Watch the physics respond.
Explore Kmax = hf − φ, then take the idea into the full lessons.
Cross the photoelectric threshold
The surplus photon energy becomes the maximum electron kinetic energy.
Everything around the chapter, in one place.
Keep building with practice, classroom presentations, formulae, and a game that puts these ideas to work.
Exam practice
Questions, guided reasoning, and exam-style problem solving.
Browse exam questions →Formula toolkit
Keep the key relationships and their units close to hand.
Review formulae →Members · Classroom presentationClassroom slides
Reveal lesson ideas, examples, and checks in full-screen classroom mode.
Open slides →Lesson files
Find downloadable teaching resources and worksheets in the library.
View files →Photon Foundry
Kmax = hf − φ. Tune the light, beat each metal's work function, and collect the photoelectrons.
Play the free chapter game →See it. Read it. Work it.
Connect diagrams to physical relationships and exam reasoning.
Explore diagrams →Guided support
Ask for a hint, check your reasoning, or explore a similar problem.
Ask GioAI →Key ideas to remember
Move without losing your place.
Extra challenging questions
Take the ideas further with course-specific extension questions, supplied-data graphs and worked solutions.