Oleg Yazyev

Solid State Physics

Python3

Exercise worksheets

English

This notebook provides a simple illustration of the variation of chemical potential for fermions in 3D, following Fermi-Dirac statistics at finite temperature. It explores the density of states, calculates occupation numbers at zero and finite temperatures, and uses both analytical and numerical methods to ensure consistency between chemical potential and occupation number.

Oleg Yazyev

Solid State Physics

Python3

Interactive textbook

English

This notebook applies the Drude model to simulate electron motion in a two-dimensional material of finite width and infinite length. It incorporates the concept of 'mean free time' to account for electron scattering and uses a stochastic method to model electron trajectories as they interact with the atomic lattice.

Cécile Hebert

Thermodynamics

Python3

Interactive textbook

English

This notebook illustrates an atmospheric model with adiabatic and isothermal layers. It presents mathematical equations and interactive plots to explain pressure and temperature variations with altitude in the troposphere and stratosphere.

Cécile Hebert

Thermodynamics

Python3

Interactive textbook

English

This notebook covers the Van der Waals equation of state, including critical point analysis, saturation curves, and isotherm plots. It provides interactive visualizations and comparisons with real gases.

Cécile Hebert

Transmission electron microscopy

Python3

Interactive textbook

English

This notebook provides an interactive experience to explore wave interference patterns using 2D sine functions. We can adjust parameters like the number of sources and periodicity to visualize constructive and destructive interferences.

Oleg Yazyev

Solid State Physics

Python3

Interactive textbook

English

This notebook provides an interactive tool for visualizing phonon band structures in crystalline materials. Users can explore how phonon dispersion relations vary with different parameters, enabling a deeper understanding of phonon behavior and their impact on material properties.

Oleg Yazyev

Solid State Physics

Python3

Exercise worksheets

English

This notebook explores the construction and propagation of wavepackets in a one-dimensional (1D) system, using a tight-binding Hamiltonian to describe the dynamics. The approach is based on semiclassical approximations, with periodic boundary conditions applied to a sufficiently large lattice. Key concepts such as wavepacket localization, spreading, and propagation are demonstrated, providing insights into quantum mechanical behavior in 1D materials.

Oleg Yazyev

Solid State Physics

Python3

Exercise worksheets

English

This notebook explores the powder X-ray diffraction spectra of various systems. It explains how X-ray waves are diffracted when they interact with a crystal. Unlike single crystal diffraction, which requires precise crystal orientation, powder X-ray diffraction allows for all possible plane orientations, resulting in a range of diffraction angles. This feature simplifies the production of angle versus intensity graphs, enabling the determination of crystal structures.

Oleg Yazyev

Solid State Physics

Python3

Interactive textbook

English

This notebook illustrates Hund's rules for determining the quantum numbers of an isolated atom or ion based on its electronic configuration. It focuses on how to find the total spin angular momentum, total orbital angular momentum, and total angular momentum number for a partially filled electronic shell.

Oleg Yazyev

Solid State Physics

Python3

Interactive textbook

English

This notebook illustrates how the Fermi-Dirac distribution and its derivative vary with temperature.