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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 light 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 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 discontinuous spectrum 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 s 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 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 B h d th t th l t i Bohr proposed that the electron in a
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