Quantum Phenomena Flashcards
What is the photoelectric effect?
Electrons are emitted from the surface of a metal when electromagnetic radiation above a certain frequency is directed at the metal.
Describe the layout of the experiment observing the photoelectric effect.
UV radiation is directed at a negatively charged zinc plate attached to a gold leaf electroscope. This device is a very sensitive detector of charge.
When the zinc plate is charged, what happens?
Thin gold leaf of electroscope rises and stays in that position - it’s repelled from the metal stem bc they have the same type of charge.
What if UV light is directed at the zinc plate?
Leaf immediately falls because conduction electrons at zinc surface leave.
What are the emitted electrons referred to as?
Photoelectrons.
What if UV light was directed at positively charged plate, and so the electroscope was positive?
The leaf would stay risen and would not fall.
What was observed during this experiment? (3)
1 - comment on frequency/λ:
Photelectric emission of e-s won’t take place if f of incident em radiation is below threshold frequency. f0 depends on type of metal.
∴ λ must be < λmax = c/f0
2- comment on intensity:
Number of e-s emitted per second is proportional to intensity, provided f > f0. If f< f0 no photoelectric effect takes place no matter how high the intensity of the incident radiation.
3- comment on speed of photoelectric emission:
Photoelectric emission occurs without delay as soon as em radiation directed at surface, provided f > f0, regardless of intensity.
What can’t the wave theory explain about these observations? What does wave theory say should happen?
Can’t explain existence of f0 or why photoelectric effect occurs without delay.
Wave theory says each conduction e- at the surface of the metal should gain some energy from the incoming waves, regardless of how many waves arrive each second.
Einstein explanation of photoelectric effect. (2)
When light is incident on a metal surface, an e- at the surface absorbs a single photon ∴ gains E = hf. One-to-one interaction.
An e- can leave the metal surface if the energy gained from a single photon > work function of the metal.
What is the work function?
What happens to excess energy from photon?
The minimum energy needed by an e- to escape from the metal surface at zero potential.
Excess energy gained by the photoelectron becomes Ek.
What’s the maximum kinetic energy that the photoelectron can have?
Hence, what is f0?
Ekmax = hf - Φ ∴ hf = Ekmax + Φ
Emission can take place provided Ek max > 0 or hf > Φ.
Hence, f0 = Φ/h
(Subtopic: stopping voltage)
Electrons that escape from the metal plate can be attracted back to it by giving the plate a sufficiently +ve charge.
What is stopping voltage, Vs?
The minimum potential needed to stop photoelectric emission.
Comment on Ekmax of emitted e-s at this voltage.
Relate Ekmax to Vs.
At this voltage Ekmax is reduced to zero bc each emitted e- must do extra work equal to e x Vs to leave the metal surface.
Ekmax = eVs
(can use photocell to measure Ekmax by measuring Vs, this is when current = 0)
Energy of each vibrating atom is quantised. What does this mean?
Only certain levels of energy are allowed.
Conduction e-s in a metal move about at random. The average Ek of a conduction e- depends on the temp of the metal.
When a conduction e- absorbs a photon…. (think energy transfers)
its Ek increases by an amount equal to the energy of the photon. if Ek > Φ of metal, the conduction e- can leave the metal.
What about if the e- doesn’t leave the metal?
If the e- doesn’t leave, it collides repeatedly with other e-s and positive ions, and it quickly loses its extra Ek.
Describe vacuum photocell setup.
A glass tube that contains a metal plate (photocathode) and a smaller metal electrode (anode). When light of f> f0 directed at photocathode, e-s emitted from cathode and attracted to anode. Micrometer in circuit used to measure photoelectric current.
What is the photoelectric current?
The number of photoelectrons per second that transfer from cathode to anode.