Lecture_15 - Today's Lecture Quantum Mechanics and Atomic...

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1 Quantum Mechanics and Atomic Theory Today’s Lecture 12.3 The Atomic Spectrum of Hydrogen 12.4 The Bohr Model 12.5 The Quantum Mechanical Description of the Atom 1 The Visible Spectrum ± when a beam of white light is passed through a transparent medium (e.g. glass prism), the light is dispersed into a band of colours a spectrum of colours, a spectrum Slit Continuous spectrum Electric arc (white ligh Detector (photographic plate) V I B G Y O R + - 2 ± the visible spectrum (shown above) is said to be a continuous spectrum because the light being diffracted consists of many wavelength components Prism (white light source)
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2 The Atomic Spectrum of Hydrogen ± if however, the source of a spectrum produces light having only a relatively small number of wavelength components, then a discontinuousspectrum is observed 3 ± in the hydrogen emission spectrum (shown above), the emitted light produces a spectrum consisting of only a limited number of discrete wavelengths The Balmer Series for Hydrogen Atoms ± what is the significance of the line spectrum of hydrogen? ± in 1885, Johann Balmer (apparently through trial and error) deduced the formula for the wavelengths of these spectral lines ν 1 - 15 1 1 10 x 3 2881 4 ± where ν is the frequency of the spectral line and n must be an integer greater than 2 (e.g. if n = 3 is substituted into the equation, the frequency of the orange line is obtained) = 2 2 n - 2 s 3.2881
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3 The Bohr Model ± aware of the experiments discussed previously, in 1913 Niels Bohr developed a quantum model for the H atom ± Boh rp r o p o s
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Lecture_15 - Today's Lecture Quantum Mechanics and Atomic...

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