m= 0
v=λf =c
Photons - Electromagnetic Radiation
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Photons - Engineering Physics - Lecture Slides, Slides of Engineering Physics
Here you can find a complete lecture series on Engineering Physics course. These lecture slides includes: Photons, Electromagnetic Radiation, Electronic Energy Levels, Bound State Energies, Emission Spectra, Hydrogen Atom, Energies of the Photons, Atomic Gas, Quantized Vibrational Energy Levels, Ground State is Never Zero, Vibrational Energy Levels
Typology: Slides
2013/2014
1 / 32
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m = 0
v = λf = c
Photons - Electromagnetic Radiation
- wavelength
Photons - Electromagnetic Radiation
m = 0
v = λf = c
docsity.com
Photons - Electromagnetic Radiation
Photon frequency
Electronic Energy Levels - H
p+
e−
R
d dr
r^2 dR dr
= λ, 1 Y
sin θ
∂θ
sin θ ∂Y ∂θ
+^1
Y
sin^2 θ
∂^2 Y
∂ϕ^2
= −λ.
Y m(θ, ϕ) = N eimϕ^ P m(cos θ)
∇^2 f = 1 r^2
∂r
r^2 ∂f ∂r
r^2 sin θ
∂θ
sin θ ∂f ∂θ
r^2 sin^2 θ
∂^2 f ∂ϕ^2
Electronic Energy Levels - H
R
d dr
r^2 dR dr
= λ, 1 Y
sin θ
∂θ
sin θ ∂Y ∂θ
+^1
Y
sin^2 θ
∂^2 Y
∂ϕ^2
= −λ.
Y m(θ, ϕ) = N eimϕ^ P m(cos θ)
∇^2 f = 1 r^2
∂r
r^2 ∂f ∂r
r^2 sin θ
∂θ
sin θ ∂f ∂θ
r^2 sin^2 θ
∂^2 f ∂ϕ^2
Electronic Energy Levels - H
Electronic Energy Levels - H
K + U r (distance from proton) Uelec
Bounded states: Total energy will become all potential BEFORE
r → ∞
Electronic Energy Levels - H
K + U r (distance from proton) Uelec
Unbounded states: escape potential well
Bounded states: Total energy will become all potential BEFORE
r → ∞
Electronic Energy Levels - H
EN = K + Uelec = −
meq e^4 8 h^2 ε^20
·
1 N 2
=
− 13 .6eV N 2
K + U
E 1
E 2
E 3
E 4
r (distance from proton)
Bound state energies are QUANTIZED
Uelec
Electronic Energy Levels - H
EN = K + Uelec = −
meq e^4 8 h^2 ε^20
·
1 N 2
=
− 13 .6eV N 2
K + U
E 1
E 2
E 3
E 4
r (distance from proton) Uelec
Bound state energies are QUANTIZED
Clicker Quiz
Q8.2.d Photon emission Suppose that these are the quantized electronic energy levels (K+U) for an atom. If the atom is excited to the second excited state (marked by a dot), what are the possible energies of photons it might emit?
**1) 2, 5, and 9 eV
- 3, 4, and 7 eV
- 3 or 7 eV
- 5 or 9 eV
- 2 eV**
Emission Spectra - H
EN = K + Uelec = −
meq e^4 8 h^2 ε^20
·
1 N 2
=
− 13 .6eV N 2
K + U
E 1
E 2
E 3
E 4
r (distance from proton)
Ef = Ei − Kphoton
Emission Spectra - H
Why not?
Emission Spectra - H
Selection rules - depend on m and
R
d dr
r^2 dR dr
= λ, 1 Y
sin θ
∂θ
sin θ ∂Y ∂θ
+^1
Y
sin^2 θ
∂^2 Y
∂ϕ^2
= −λ.
Y m(θ, ϕ) = N eimϕ^ P m(cos θ)
∇^2 f = 1 r^2
∂r
r^2 ∂f ∂r
r^2 sin θ
∂θ
sin θ ∂f ∂θ
r^2 sin^2 θ
∂^2 f ∂ϕ^2
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