Lec15_drobny_11 - Lecture 15: Bohr Model of the Atom! !...

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Lecture 15: Bohr Model of the Atom • Reading: Zumdahl 12.3, 12.4 • Recommended Problems: 12.35, 12.37, 12.39, 12.41 • Outline – Review of black body radiation and applications – Emission spectrum of atomic hydrogen. – The Bohr model. – Extension to higher atomic number.
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Summary of Black Body Radiation A black body is simulated by a hollow metal chamber. When heated it glows red, because atoms in the metal oscillate at frequencies around the low frequency end of the visible spectrum. As the temperature is increased, more atoms vibrate at higher frequencies, higher frequencies of radiation are emitted in the cavity until the metal becomes “white hot”. Application: – You can measure the temperatures of hot objects (e.g. stars) from the radiation they emit.
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Summary of Black Body Radiation Classical vs. Quantum Theory of Black Body Radiation Property Classical Theory Planck’s Quantum Theory Energy of Oscillator Average Energy of an Oscillator: <E> Change in energy ( ! E) anything Intensity of radiation in the cavity at " Result Ultraviolet catastrophe Agrees with data No catastrophe
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Vibration (C V =5R/2+C V,vib ) Einstein used Planck’s theory of quantized oscillations to calculate the vibrational heat capacity. Einstein showed that the heat capacity for vibrational motions is temperature dependent when the motions are quantized. So for an ideal diatomic
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This note was uploaded on 01/25/2012 for the course CHEM CHEM 152 taught by Professor Daruwala during the Spring '09 term at University of Washington.

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Lec15_drobny_11 - Lecture 15: Bohr Model of the Atom! !...

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