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Click to edit Master title style<= /div>
Click to edit Master subtitle sty= le
‹foote= r›
‹#R= 50;
‹date/time›
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Thought Question
•Consider a hydrogen atom isolated in deep space, in the abscence of any other particles, electric fields, magnetic fields, light, etc.  What determines = the direction of the z axis? =
= 211;
= 211;A: The direction to the center of the universe
= 211;B: The state of the electron in the atom <= /div>
= 211;C: The direction to the nearest star
= 211;D: It is completely arbitrary
= 211;E: None of the above
= 211;
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Angular Momentum and the Uncerta= inty Principle
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Spherical Harmonics
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Spherical Harmonics
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Spherical Harmonics
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file:///C:/F1764A33/Physics222HAngularSolutions_files/slide0005.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Slide 1
Spherical Harmonics
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Spherical Harmonics
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Spherical Harmonics
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Content-Location: file:///C:/F1764A33/Physics222HAngularSolutions_files/slide0037.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Slide 1
Thought Question
•If a plot à as a function of µ= ;          with r and Á  fixe= d, how many zero crossings would = I see between µ=3D0 and µ=3D2¼ if n<= /span>=3D4, l=3D3, and m=3D1? =
R= 11;A: 0
R= 11;B: 1
R= 11;C: 2
R= 11;D: 3
R= 11;E: More than 3
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Spherical Harmonics
= Why don’t these look like the orbitals you =
learned about in chemistry?
3DDegeneracy
Which basis is best?
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Making Spherical Harmonics “Real”
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Thought Question
•What is the degeneracy of a state with n=3D3?
= 211;
= 211;A: 1
= 211;B: 3
= 211;C: 5
= 211;D: 7
= 211;E: None of the above
= 211;
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Thought Question
•What is the degeneracy of the ground state of hydrogen.
•
R= 11;A: 0 B: 1 C: 2
R= 11;
R= 11;D: 3 E: More than 3
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