Planck-Einstein Equation

The Plank-Einstein equation states that all molecular vibrations, and all energy levels of photons are discrete multiple of the lowest quanta of energy: $hf$

Definition §

Note Energy of a photon

$$E_{photon}=hf=\frac{hc}{\lambda }$$

Note

• $E_{photon}$ = Energy (in $\text{J}$)
• $h$ = Planck’s consant $\approx 6.63\times 10^{-24}\text{ Js}$
• $f$ = Frequency (in $s^{-1}$ or $\text{Hz}$)
• $\lambda$ = Wavelength (in $\text{m}$)

Quanta of Energy

$$E=nhf=n\frac{hc}{\lambda }$$

Note

• $E$ = Total Energy (in $\text{J}$)
• $n$ = Quantum Number
• $h$ = Planck’s consant $\approx 6.63\times 10^{-24}\text{ Js}$
• $f$ = Frequency (in $s^{-1}$ or $\text{Hz}$)
• $\lambda$ = Wavelength (in $\text{m}$)

History §