Chapter 3: The Experimental Basis of Quantum Physics

PHYS2710

Rydberg Equation

\frac{1}{\lambda}=R_{H}\left(\frac{1}{n^2}-\frac{1}{k^2}\right)

Wien’s Displacement Law

\lambda_{\max}T=2.898\times10^{-3}

Stefan-Boltzmann Law

R\left(T\right)=\varepsilon\sigma T^4

Planck’s Radiation Law

E\left(\lambda,T\right)=\frac{2\pi c^2h}{\lambda^5}\frac{1}{e^{\frac{hc}{\lambda kT}}-1}

Energy Quantum

E=hf

The Maximum Kinetic Energy of the Electrons

K_{\max}=eV_0=hf-\varphi

Duane-Hunt rule

\lambda_{\min}=\frac{hc}{e}\frac{1}{V_0}=\frac{1.240\times10^{-6}}{V_0}

Compton effect

\Delta\lambda=\lambda^{\prime}-\lambda=\frac{h}{mc}\left(1-\cos\theta\right)

Pair production

\gamma\rightarrow e^{+}+e^{-}