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 E1=1×13.6 eV,E213.6/4 eV,E313.6/9 eV,E413.6/16 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}.