Defect Formation Thermodynamics
See equilibrium defect fraction emerge from the competition between formation energy and configurational entropy, from exact finite combinatorics through the Stirling and dilute limits.
Launch module 01 →Interactive course materials
Solid State Ionics Interactive
A permanent, source-audited collection of eight self-contained marimo readers connecting defect thermodynamics, defect chemistry, transport, interfaces, polarization, intermittent titration, chemical storage, and impedance spectroscopy.
Choose your reading path
The cards below follow the numbered self-study path. For the Fall 2024 lecture sequence, follow the links here:
Module 03 can be read in two sessions: hops and diffusion, then driving forces and coupled transport. Module 08 also has two sessions: EIS and Warburg, then transmission lines.
Foundations · Modules 01–03
Build equilibrium defects, defect-chemistry regimes, and transport from atomic hopping to coupled chemical diffusion.
Brouwer Diagram for Acceptor-Doped SrTiO3
Explore how defect-chemistry regimes and limiting slopes emerge from mass-action equilibria and exact charge neutrality in weakly acceptor-doped strontium titanate.
Launch module 02 →Defect Transport: From Atomic Hopping to Chemical Diffusion
Follow a self-contained one-dimensional path from activated hops and Fick flux to electrochemical potential, coupled Li-ion/electron chemical diffusion, and a measurable relaxation time.
Launch module 03 →Interfaces and boundary conditions · Modules 04–05
See how interfacial charge and blocking electrodes reshape potential, capacitance, reaction rate, and stoichiometry.
Space-Charge Layers and the Frumkin Effect
Compare one-dimensional Gouy–Chapman and Mott–Schottky profiles, build the Gouy–Chapman–Stern capacitance, and see how reaction-plane concentration and potential modify kinetics.
Launch module 04 →Stoichiometry Polarization in a Mixed Conductor
Drive a one-dimensional mixed conductor at constant current or potential, then watch ion-blocking electrodes reshape stoichiometry, chemical potentials, and electrochemical potentials in time.
Launch module 05 →Electrochemical methods
Connect time-domain titration, thermodynamic storage, and frequency-domain response while keeping assumptions visible.
From Coulometric Titration to PITT and GITT
Map equilibrium composition, compare voltage and current pulses, follow OCV relaxation, and see how finite surface kinetics and fitting windows can bias a chemical diffusivity.
Launch module 06 →Chemical Capacitance: Phase Thermodynamics and Chemical Diffusion
Connect neutral storage to free-energy curvature, see how phase coexistence creates a chemical-potential plateau, and link chemical capacitance to diffusion and thickness-dependent measurements.
Launch module 07 →Impedance Spectroscopy, Warburg Diffusion, and Transmission Lines
Build EIS from sinusoidal small signals, compare series and parallel RC responses, explore finite-length Warburg boundaries, and see how ionic, electronic, chemical-storage, and contact pathways combine.
Launch module 08 →