SUMMARY
The principal quantum number (n) for a hydrogen atom to achieve a size of one micron is calculated to be approximately 97. This is derived from the equation r = (5.3 x 10-11)(n2), where r represents the radius. While the theoretical limit for n is infinite, practical constraints such as electron collision with other atoms or container walls limit the feasibility of such high quantum numbers. Thus, while n can reach 97, it is not practically achievable.
PREREQUISITES
- Understanding of quantum mechanics principles
- Familiarity with the hydrogen atom model
- Knowledge of the principal quantum number concept
- Basic algebra for solving equations
NEXT STEPS
- Research the implications of high principal quantum numbers in atomic physics
- Explore the limitations of quantum states in real-world applications
- Study the behavior of electrons in high-energy states
- Learn about quantum mechanics and atomic structure in greater detail
USEFUL FOR
Students of physics, particularly those studying quantum mechanics, educators teaching atomic theory, and researchers interested in atomic behavior at high energy levels.