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Unformatted text preview: CHEM 356, Lecture 6, Fall 2009 1 D. De Broglie and Matter Waves . Light : wave characteristics (diffraction phenomena) particle characteristics (photoelectric effect) These two types of behaviour of light, referred to as the duality of light, are represented by the two equations = Planck Einstein = 2 Einstein . For light quanta we may write 2 = = = . We have seen in dealing with the Compton effect that the mo- mentum of a photon is given by = / = , so that if we make use of this definition we obtain for two fundamental re- lations for a photon, one between its frequency and its energy, the other between its wavelength and its momentum, namely = = CHEM 356, Lecture 6, Fall 2009 2 Matter : The de Broglie hypothesis (1924): de Broglie was troubled by the fact that while light had been shown to have a dual nature behaving both as particle and as wave, depending upon the specific circumstance material particles, such as electrons, were considered only to possess particulate properties, and not to have any wavelike characteristics. In his Ph.D. thesis of 1924 he postulated that a particle with restmass be assigned an associated frequency in the restframe of the particle: = 2 = 2 moving particle has mass = and hence can be assigned a corresponding frequency = 2 = the theory of special relativity requires that a fixed observer should detect a frequency 1 = ( 1 2 2 ) 1 2 = = ....
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- Fall '09