1 contents: photonsphotons2 photoelectric effectphotoelectric effect 4 bohr atombohr atom11 line...
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Contents:
Photons 2
Photoelectric effect 4
Bohr Atom 11
Line Emission Spectra 14
Types of Spectra 18
Stimulated Emission and Lasers 19
Photons, Spectra and Lasers
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Red :
f= 4.76 x 10 14 Hz = 630 x 10 -9 m
Blue :
f= 7.90 x 10 14 Hz = 380 x 10 -9 m
Light travels in packets of energy called photons.
Photons have different frequencies and wavelengths
Blue light has photons with a higher frequency and
shorter wavelength than red light
Photons
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Photons of light carry energy.
The energy is proportional to the frequency
E = h f
frequency of photon / Hz energy of photon / J
Planck’s constant6.63 x 10-34 J s
Blue photons have a higher frequency
and greater energy than red photons.
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The Photoelectric Effect
Electromagnetic radiation can remove an electron
from a zinc plate if:
the radiation is ultraviolet
the plate is clean
the plate is charged negatively
Zinc plate
electroscope
ultraviolet
if the ultraviolet is more intense, the zinc discharges faster
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electron
Zinc atom photons of red light do not release electrons
photons of ultraviolet can release electrons
The photoelectric effect with zinc only works with ultraviolet
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Photoelectric Current
ultraviolet radiation
thin quartz window
vacuum
2 kV
+
mA
anodeanodenegative zinc cathode
The photons of ultraviolet pass through the window onto the zinc
cathode
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Photoelectric Current
ultraviolet
2 kV
+
mA
electrons
The photocurrent only flows if the frequency (and hence energy) of the photons is high
enough to knock the electrons from the zinc cathode
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ultraviolet
2 kV
+
mA
electrons
photocurrent
f0 frequency of u.v.
The THRESHOLD FREQUENCY, f0, is the minimum frequency needed to release an electron from the surface of the zinc cathode.
E0 = hf0
The WORK FUNCTION, E0, is the minimum energy needed to release an electron from the surface of the zinc cathode.
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Kinetic Energy of the Photoelectron
zinc
Ek = hf - hf0
electron
photon
If the photon has more energy than the work function, the extra energy becomes the kinetic energy of the
electron.
Kinetic energy of electron = photon’s energy - work function
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Photocurrent
Intensity of ultraviolet
If the intensity is increased, the photocurrent is increased.
Greater intensity means more photons per second, more ejected electrons per second and a greater photocurrent.
Doubling the intensity will double the photocurrent.
Ultraviolet
2 kV
+
mA
electrons
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The Bohr Atom
nucleus
electronThe electrons are in fixed orbits round the nucleus
The positively charged nucleus is at the centre of the
atom
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nucleus
electron
Electrons can drop to lower
energy orbits..
.. emitting the excess energy as photons of
light
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E = hf
The biggest jump produces
photons with the biggest energy
….
…. and the highest
frequency
The smallest jump produces
photons with the smallest energy
….
…. and the lowest
frequency
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biggest energy jump
smallest energy jump
brightest line is the most popular jump- more transitions
occur
Line Emission Spectrum
lower frequency
longer wavelength
higher frequency
shorter wavelength
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Energy Levels
E0
E0
E1
E1
E2
E2
E3
E3
ground state
excited states
1 2 3 4 5 6
6 possible lines on the emission
spectrum
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Using numbers!
The energy levels for a hydrogen atom :
- 21.76 x 10-19 J
E0
- 5.43 x 10-19 JE1
- 2.47 x 10-19 JE2
- 1.36 x 10-19 JE3
- 0.84 x 10-19 JE4
The change in energy is:
- 2.47 x 10-19 - (- 5.43 x 10-19 )
= 2.96 x 10-19 J
An electron drops from E2 to E1
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E= 2.96 x 10-19 J
A photon of light is emitted, its frequency can be found :
E = hf
2.96 x 10-19 = 6.63 x10-34 x f
f = 2.96 x 10-19 / 6.63 x10-34
= 4.46 x 1014 Hz
- 21.76 x 10-19 J
E0
- 5.43 x 10-19 JE1
- 2.47 x 10-19 JE2
- 1.36 x 10-19 JE3
- 0.84 x 10-19 JE4
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300 400 500 600 nm
Spectra
Continuous spectrum
Absorption spectrum
Line emission spectrum
filament bulb
discharge tube
light from sun
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E3
E4
Stimulated Emission of Photons
phase direction wavelength
The stimulated photon has the same :
A photon with the same energy as the difference between the two energy levels causes an electron to fall to the lower level hence stimulates the emission of another photon.
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Helium-Neon Laser
Helium-Neon gas is held in a tube.
There are mirrors at the ends of the tube - one lets 1% of the light pass through. The mirrors reflect the photons back into the gas and stimulate more transitions which amplifies the beam.A high frequency generator “pumps” the electrons back up to excited states.
The electrons in the gas are stimulated to emit photons of red light.
mirror99%
mirror
Helium/neon gas
generator
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mirror99%
mirror
LASER LIGHT
light amplification by the stimulated emission of radiation
Helium-Neon Laser
Helium/neon gas
Laser light is :
Monochromatic
In phase
Intense
Parallel