Visualisations
Interactive explorations of physics and chemistry concepts.
Quantum
Schrödinger equation in 1D
Stationary states and time evolution in harmonic, box, double-well, Morse and lattice potentials.
Particle in a 2D box
Superpositions of stationary states in a square box, shown as evolving probability densities.
Particle in a 3D box
Probability clouds of a particle in a cubic box, rendered by volume ray marching.
Spherical harmonics and hydrogen orbitals
Separation of variables for central potentials: angular and radial parts, real and complex orbitals, and their linear combinations.
Bands from molecular orbitals
Hückel chains and rings: discrete MO levels merging into a band, with filling, doping and Peierls gaps.
Crystallography
Bragg's law
Reflections from crystal planes, path difference and how intensity peaks sharpen with more planes.
X-ray diffraction
X-ray diffraction patterns, reciprocal lattice, and electron density.
Wulff construction
Equilibrium crystal shapes from surface energies, in 2D and 3D, from cubes to needles to droplets.
Fourier transform
2D Fourier transforms with pattern drawing and wallpaper symmetry.