lecture 2310/28/05. quiz 1. what does the quantum number “l” represent? 2. calculate the...
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Lecture 23 10/28/05
Quiz1. What does the quantum number “l” represent?
2. Calculate the wavelength of light emitted when an electron changes from n = 3 to n = 1 in the H atom?
m/s8100.3light speed of c
s J341062.6 h 1m7100974.1R
22
n
121
n
1R
λ
1
2initial
n
12final
n
1RhcΔE
2n
Rhcn
E mv
hλ
λ
hchνE λν c
ml orbital -l ... 0 ... +l
orientation
ml orbital -l ... 0 ... +l
orientation
Summary: Quantum numbers
n shell 1, 2, 3, 4, ... size and energy
l subshell 0, 1, 2, ... n – 1
shape
ms electron spin +1/2 and -1/2
spin
Pauli Exclusion Principle
No two electrons can have the same set of the four quantum numbers (n, l, ml, ms)
Writing Atomic Electron Configurations
Writing Atomic Electron Configurations
11 s
value of nvalue of l
no. ofelectrons
spdf notationfor H, atomic number = 1
Two ways of writing configurations
spdf notation
Two ways of writing configurations
spdf notation
Writing Atomic Electron Configurations
Writing Atomic Electron Configurations
Two ways of writing Two ways of writing configurationsconfigurations
orbital box notation.orbital box notation.
Two ways of writing Two ways of writing configurationsconfigurations
orbital box notation.orbital box notation. Arrowsdepictelectronspin
ORBITAL BOX NOTATIONfor He, atomic number = 2
1s
21 s
Arrowsdepictelectronspin
ORBITAL BOX NOTATIONfor He, atomic number = 2
1s
21 s
One electron has n = 1, l = 0, ml = 0, ms = + 1/2Other electron has n = 1, l = 0, ml = 0, ms = - 1/2
Aufbau principle Electrons are added from
lowest to highest energy
Single electron atom (Bohr) Energy related to n
Multi-electron atom Energy related to n + l
See “Toolbox” for Electron Configuration tool.See “Toolbox” for Electron Configuration tool.
LithiumLithiumLithiumLithium
Group 1A
Atomic number = 3
1s22s1 ---> 3 total electrons
1s
2s
3s3p
2p
BoronBoronBoronBoron
Group 3AGroup 3A
Atomic number = 5Atomic number = 5
1s1s2 2 2s2s2 2 2p2p11 ---> --->
5 total electrons5 total electrons
1s
2s
3s3p
2p
CarbonCarbonCarbonCarbonGroup 4AGroup 4A
Atomic number = 6Atomic number = 6
1s1s2 2 2s2s2 2 2p2p22 ---> --->
6 total electrons6 total electrons
HUND’S RULE When placing electrons in a set of orbitals having the same energy, fill each with a single electron first
1s
2s
3s3p
2p
OxygenOxygenOxygenOxygen
Group 6A
Atomic number = 8
1s2 2s2 2p4 --->
8 total electrons
1s
2s
3s3p
2p