ee138 chapter 9-slides
DESCRIPTION
UCR EE138TRANSCRIPT
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Chapter 9 1
OutlineReading: Livingston, Chapter 9
Hydrogen Atom Potential Energy Levels of a Hydrogen Atom Energy Levels for One Electron Atoms and Neutral Atoms
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Chapter 9 2
Hydrogen Atom: Potential Profile
EVm
22
2
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Chapter 9 3
A Quick Review of Spherical Coordinates
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Chapter 9 4
Hydrogen Atom Energy Levels
eV6.138 2222
4
nnhmeEo
n
eV1-16.13 22
if nnh
With high voltage applied (similar to fluorescent lights)
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Chapter 9 5
Energy Levels for Other Single Electron Atoms
rZerV
o4)(2
eV)6.13(8 2
2
222
42
nZ
nhmeZE
on
Energy Levels for Other Neutral Atoms
Li3+
Li3+reZ
rVo
eff
4)(2
eV)6.13(
8 22
222
42
nZ
nhmeZ
E effo
effn
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Chapter 9 6
Solutions to the S.E. for Hydrogen Atom
EVm
22
2
rerV
o4)(2
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Chapter 9 7
Restrictions on Quantum Numbers
n = 1, 2, 3,.l = 0, 1, 2, 3,, (n-1)m = -l,, -2, -1, 0, 1, 2,, +l
s = +1/2 or -1/2
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Chapter 9 8
n l m sAllowable states in subshell
Allowable states in complete
shell
1 0 0 +/- 2 22 0 0 +/- 2
81 -1 +/-
60 +/- 1 +/-
3 0 0 +/- 2
18
1 -101
+/- +/- +/-
6
2 -2-1012
+/- +/- +/- +/- +/-
10
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Chapter 9 9
Shapes of Subshells
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Chapter 9 10
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Chapter 9 11
n = 1
n = 2
n = 3
n = 4
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Chapter 9 12
Review Questions
1. Qualitatively what is the potential profile associated with a hydrogen atom? How does it relate to radius?
2. What are the allowed energy levels for a hydrogen atom? How does energy related to principal quantum number?
3. What are the allowed energy levels for a one-electron atom (not necessarily hydrogen)?
4. What are the allowed energy levels for neutral atoms? Why?5. How many unique quantum numbers an electron have according to
Paulis Exclusion Principle? 6. What are the general shapes of the subshells?7. What is the principal quantum number and subshell in 1s2? How
many electrons are in this atom? If this is a neutral atom, which one is it?
8. How are the Schrodinger Equation and the Periodic Table related?
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Chapter 9 13
Important Equations
rerV
o4)(2
dtdiV
m 2
2
2 EV
m 2
2
2
eV6.138 2222
4
nnhmeEo
n nm0528.04
2
2
me
a oo
eV1-16.13 22
if nnh
rZerV
o4)(2
eV)6.13(8 22
222
42
nZ
nhmeZE
on
n = 1, 2, 3,.l = 0, 1, 2, 3,, (n-1)m = -l,, -2, -1, 0, 1, 2,, +l
s = +1/2 or -1/2
reZ
rVo
eff
4)(2
eV)6.13(8 22
222
42
nZ
nhmeZ
E effo
effn
OutlineHydrogen Atom: Potential ProfileA Quick Review of Spherical CoordinatesHydrogen Atom Energy LevelsEnergy Levels for Other Single Electron AtomsSolutions to the S.E. for Hydrogen AtomRestrictions on Quantum NumbersSlide Number 8Shapes of SubshellsSlide Number 10Slide Number 11Review QuestionsImportant Equations