Planck Constant Energy Scan - Semiconductor Physics: Bands, Doping, and Junctions Step by Step

Changing the training h rescales photon energy. Exact arithmetic here means exact results for the stated model inputs; measured inputs still carry uncertainty and significant-figure limits.

highlighted = computed this step

Smaller training h stays below the gap

Frequency stays at 3 hertz while h is 1 J/Hz. The photon energy is 3 joules, so accepted is 0 and excess is 0 joules.

\begin{array}{c}E=hf=1\cdot 3=3\ \mathrm{J}\\3\ \mathrm{J}\ <\ E_g=6\ \mathrm{J}\\\mathrm{accepted}=0\end{array}

Default training h reaches equality

Frequency stays at 3 hertz while h is 2 J/Hz. The photon energy is 6 joules, so accepted is 1 and excess is 0 joules.

\begin{array}{c}E=hf=2\cdot 3=6\ \mathrm{J}\\6\ \mathrm{J}\ =\ E_g=6\ \mathrm{J}\\\mathrm{accepted}=1\end{array}

Larger training h clears the gap

Frequency stays at 3 hertz while h is 3 J/Hz. The photon energy is 9 joules, so accepted is 1 and excess is 3 joules.

\begin{array}{c}E=hf=3\cdot 3=9\ \mathrm{J}\\9\ \mathrm{J}\ >\ E_g=6\ \mathrm{J}\\\mathrm{accepted}=1\end{array}