Shortcut Methods
Shortcuts and Tricks for Solving Numerical Values
Bohr radius The Bohr radius is often remembered as approximately equal to (0.53 \times 10^{-10}\ m) for quick calculations.
Energy Levels
- For quick estimation of the energy levels of hydrogen-like atoms, one can use the formula (E_n \approx -13.6\texttt{ eV}/n^2).
- To remember the exact energies, note that $$ E_1 = -1\times13.6\texttt{ eV}, E_2 \approx -13.6/4\texttt{ eV}, E_3 \approx -13.6/9\texttt{ eV}, E_4 \approx -13.6/16\texttt{ eV}$$
Ionization Potential
- The ionization potential energy is approximately equal to (13.6\texttt{ eV}).
Rydberg Constant
- The Rydberg constant can be approximated as approximately equal to 10^7 m^{−1}.
