1. Derivation of the Rydberg Constant
An introduction to the Bohr Model of the Atom

2. Empirical formula discovered by Balmer to describe the hydrogen spectra

3. Lyman, Paschen, Brackett Pfund Series

4. Energy of a photon

5. Bohr Model

6. Energy of an atom

7. Newtonian mechanics

8. Fnet equals Coulombic attraction

9. Convenient expression

10. Energy of an atom

11. After simplification

12. Recall rotational mechanics

13. Bohr Postulate
Electrons in a stable orbit do not radiate. That is, atoms are stable and do not collapse.
Electrons in transition from a higher to a lower energy state radiate a photon of energy hf.

14. Bohr Postulate

15. Angular Momentum

16. Combining expressions

17. General formula for the radius

18. Bohr radius

19. Energy levels of the atom

20. Bohr Energy Levels

21. Energy of a photon

23. Rydberg Constant!

24. Limitations of the Bohr Model
Works well for hydrogen, and for other single electron atoms, but not as well for helium and even less well for other atoms
Based upon postulates that angular momentum is quantized