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Derivation of Rydberg Constant in Bohr Model of Atom: A Comprehensive Introduction

Explore the empirical formula established by Balmer to describe hydrogen spectra, the energy levels in Bohr model, and limitations of the model. Learn about the Rydberg Constant and postulates like angular momentum quantization. Uncover how electrons emit photons during energy state transitions and the stable orbits. Discover the convenience of Coulombic attraction in simplifying atom energy calculations.

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Derivation of Rydberg Constant in Bohr Model of Atom: A Comprehensive Introduction

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  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, BrackettPfund 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

  22. Rydberg Constant!

  23. 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

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