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------=_NextPart_01C6203F.9AE07E70 Content-Location: file:///C:/6B253D85/Physics222deBroglie_files/master18.xml Content-Transfer-Encoding: quoted-printable Content-Type: text/xml; charset="utf-8" ------=_NextPart_01C6203F.9AE07E70 Content-Location: file:///C:/6B253D85/Physics222deBroglie_files/pres.xml Content-Transfer-Encoding: quoted-printable Content-Type: text/xml; charset="utf-8" ------=_NextPart_01C6203F.9AE07E70 Content-Location: file:///C:/6B253D85/Physics222deBroglie_files/slide0002.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Physics 222
Physics 222
de Broglie’s Conjecture
(c) D.S. Durfee
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X Rays
<= span style=3D'font-size:88%'>nDiscovered in 1895= by Roentgen
<= span style=3D'font-size:88%'>nGenerated when ele= ctrons hit target
<= span style=3D'font-size:88%'>nMaterials transpar= ent to them
<= span style=3D'font-size:88%'>nNot deflected by magnetic field
nRoentgen saw no interference and little diffraction!
<= span style=3D'font-size:88%'>nBragg diffraction – explained in 1912
nX rays are EM wave= s with wavelengths from 0.01 to= 0.10 nm
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Bragg Diffraction
θin=3Dθout= = ;
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Bragg Diffraction
2d sin(θ) =3D m λ
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Compton Effect
nCompton noticed = that x-rays were “softer” after they had passed throu= gh a substance.
<= span style=3D'visibility:hidden'>n
nCompt= on showed that this could be explained by treating scattering as <= /span>“collision” between a photon of light and a particle of matter
------=_NextPart_01C6203F.9AE07E70 Content-Location: file:///C:/6B253D85/Physics222deBroglie_files/slide0037.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Physics 222
Compton Scattering of a “Photon”
e-
Before
e-
After
Are you pondering what
I’m pondering?
Yes, but how will we ever get that
many rubber bands?
No you buffoon!  Why do you
need x-rays to see this?
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Louis de Broglie
If light, which we thou= ght of as a wave, behaves as= a particle, then maybe things we think of as particles behave as waves…<= /span>
photo from http://www.aip.org/history/heisenberg/p08.htm
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Energy/Frequency and Momentum/Wavelength Relations for a Photon <= /span>
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Energy/Frequency and Momentum/Wavelength Relations for an Electro= n/Proton/Apple Pie/Ford Taurus
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Just a note...
For a photon
But...
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sc+MetQgZlhJPD9KUnXsZX/pEcAxS8rSYPhBM+npaEtnGoupvIkBDbkoTXeaRB86rYY8DWo0dCpU aEYAADs= ------=_NextPart_01C6203F.9AE07E70 Content-Location: file:///C:/6B253D85/Physics222deBroglie_files/slide0194.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Physics 222
What Ex= actly is Waving?
=
nFor a photon...&= #13;
nelec= tric and magnetic fields
nYou = can measure them if º is small enough.
<= span class=3DB1B style=3D'position:absolute;left:-3.21%;top:.49em'>nFor = visible light, you can see that it is a wave indirectly. <= /div>
nFor a massive particle
<= span class=3DB1B style=3D'position:absolute;left:-3.34%;top:.49em'>nYou can’t measure them --- even in theory!
nThey= are complex!
<= span class=3DB1B style=3D'position:absolute;left:-3.27%;top:.49em'>nHow = do we know that there’s really a wave?
n
------=_NextPart_01C6203F.9AE07E70 Content-Location: file:///C:/6B253D85/Physics222deBroglie_files/slide0043.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Physics 222
How might I verify that my Ford is a wave?
3DInterferen= 3DDiffraction
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Thought Question
nWhich of the following would be the easiest particle to use if I wanted to see a matter-wave <= /span>= diffraction pattern?
n
n1:  A car moving at 100 mph
n
n2:  A car moving at 1 mph =
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n3:  A 1 MeV electron
n
n4:  A 1 keV electron
n
n5:  What was the question?
n
------=_NextPart_01C6203F.9AE07E70 Content-Location: file:///C:/6B253D85/Physics222deBroglie_files/slide0045.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Physics 222
Wavelength of a Ford