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Derivation of the Rydberg Constant
An introduction to the Bohr Model of the Atom
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Empirical formula discovered by Balmer to describe the hydrogen spectra
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Lyman, Paschen, Brackett Pfund Series
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Energy of a photon
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Bohr Model
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Energy of an atom
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Newtonian mechanics
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Fnet equals Coulombic attraction
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Convenient expression
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Energy of an atom
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After simplification
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Recall rotational mechanics
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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.
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Bohr Postulate
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Angular Momentum
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Combining expressions
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General formula for the radius
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Bohr radius
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Energy levels of the atom
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Bohr Energy Levels
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Energy of a photon
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Rydberg Constant!
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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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