Lecture 35 - Recap of last lecture Looked at 4 phenomena...

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Recap of last lecture Looked at 4 phenomena which are problematic for classical physics Line spectra and black body radiation spectrum can be explained in terms of discrete energy levels in atoms where E 1 E 2 = hf; The same particle like properties of light can also explain the photo-electric effect and Compton scattering. E photon = hf
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De Broglie waves Just as light can behave both as particles and waves Similarly matter particles can behave as waves Wavelength of matter particle = l = h/p =h/mv Wave nature of electrons implies that they can only have certain quantized (discrete) angular momenta as they orbit the atom (because the circumference of the orbit must be an integer multiple of the wavelength) L = mvr = hr/ l = h (2 p r /l)/2p = nh/2 p Therefore the linear momentum/energy of these electrons are also discrete
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Two-slit interference The predicted maximum “grows in” as the quantity of measurements increases. Animation of 2 slit experiment with electrons
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Electron Microscope: Resolution determined by the diffraction limit D l 22 . 1 λ θ Angular resolution is proportional to the wavelength Accelerating voltage = 15000V KE = eV A = ½ mv 2 = p 2 /2m And λ= h/p = h/sqrt(2m KE) ~ 0.01 nm About 10000 smaller than light
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In order for a proton to have the same momentum as an electron - A. the proton must have a shorter de Broglie
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This note was uploaded on 01/27/2012 for the course PH 2233 taught by Professor Dipinkardutta during the Spring '11 term at Mississippi State.

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Lecture 35 - Recap of last lecture Looked at 4 phenomena...

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