FormulaHall Effect (Voltage, Hall Coefficient, Current, B-Field) $$ U_{\text H} ~=~ A_{\text H} \, \frac{I \, \class{violet}{B}}{d} $$
LessonLevel 3 (for advanced students)Hall Effect: A Simple Explanation of How Hall Voltage is Created Explanation of what the Hall effect is, how exactly the Hall voltage is generated and how you can calculate it and the Hall constant.
FormulaHall Effect (Hall Voltage, Charge Carrier Density) $$ U_\text{H} ~=~ \frac{1}{n \, q} ~ \frac{I \, \class{violet}{B}}{d} $$
VideoLevel 2 (suitable for students)Hall Effect and a SIMPLE Derivation of The Hall Voltage Learn what the Hall effect is, how the Hall voltage is generated in a current-carrying bar in a magnetic field, and how this voltage is derived.
CourseLevel 3 (for advanced students)Introduction to solid state physics Here you will learn the basics of solid state physics - that is, electrical / thermal transport in solid matter, its crystal structure and interactions.
FormulaFree electron gas in 1d (density of states) $$ D(W) ~=~ \frac{L}{\pi} \, \left(\frac{2m}{\hbar^2}\right)^{1/2} \, \frac{1}{\sqrt{W}} $$
FormulaFree electron gas in 3d (density of states) $$ D(W) ~=~ \frac{V}{2\pi^2} \, \left(\frac{2m}{\hbar^2}\right)^{3/2} \, \sqrt{W} $$
LessonLevel 4 (for very advanced students)Density of states (1d, 2d, 3d) of a free electron gas Here you will learn how to derive the 1d, 2d, and 3d density of states of a free electron gas from the k-volume and the dispersion relation.
FormulaEnergy band gap of GaAs (temperature dependence) $$ E_{\text g} ~=~ 1.522\,\text{eV} - \frac{ 5.8 \cdot 10^{-4} \, \frac{ \text{eV} }{ \text{K} } \, T^2 }{ 300 \,\text{K} + T } $$
FormulaEnergy band gap of germanium (temperature dependence) $$ E_{\text g} ~=~ 0.742\,\text{eV} - 3.90 \cdot 10^{-4} \, \frac{ \text{eV} }{ \text{K} } \cdot T $$
FormulaEnergy band gap of silicon (temperature dependence) $$ E_{\text g} ~=~ 1.165\,\text{eV} - 2.84 \cdot 10^{-4} \, \frac{ \text{eV} }{ \text{K} } \cdot T $$
