SUMMARY
The radius of a stationary state of a hydrogen atom is calculated using the formula r = a * n², where a = 0.0529 nm. For n = 2, the radius is r = 0.0529 * 2² = 0.2116 nm. The confusion arose from the distinction between the ground state (n=1) and the first excited state (n=2), with the latter still being a stationary state despite having higher energy. The wavefunction for n=2 remains time-independent, confirming its stationary nature.
PREREQUISITES
- Understanding of quantum mechanics principles
- Familiarity with the hydrogen atom model
- Knowledge of wavefunctions and their properties
- Basic mathematical skills for applying formulas
NEXT STEPS
- Study the quantum mechanical model of the hydrogen atom
- Learn about wavefunctions and their time dependence
- Explore the concept of energy levels in quantum systems
- Investigate the differences between ground state and excited states
USEFUL FOR
Students of quantum mechanics, physics educators, and anyone interested in atomic structure and energy levels of hydrogen atoms.