NUCLEAR PHYSICS Flashcards
Scattering experiment observations - conclusions
- Most α particles passed straight through with minimal
deflection (around 1/2000 deflected)
Small percent of α particles deflected through an angle greater than 90° - Most of the atom’s mass is concentrated in a small
region in the centre (nucleus) - Nucleus is positively charged as it repels α particles
How direction of α approach affects deflection
Arriving head on will cause α particle to be deflected head on.
Closer initial direction of α particle to “head on” direction - greater deflection due to coulomb’s law + smaller least distance of approach to the nucleus
Estimate size of nucleus using fact that 1 in 10,000 α particles are deflected by an angle over 90°
For a single scattering by a foil with n layers of atoms, the probability of an α particle being deflected by a single atom is 1/10000n. Probability depends on effective cross sectional area of the nucleus to the atom. So for a nucleus of diameter d in an atom of diameter D, d²/D² = 1/10000n
typical value for n=10^-4
squared factor due to area (πd²/4)
Why must foil be thin in α scattering experiment?
+ Why must beam be narrow
So α particles not scattered more than once
+Also pass through
Beam must be narrow to define a precise location where scattering takes place, and accurately determine the scattering angle
Ionisation effect (ionisation chamber) setup + observations
Using ionisation chamber and picoammeter - chamber contains air at atmospheric pressure, radiation directed at chamber. Ions created are attracted to an opposite charged electrode where they are discharged, Electrons pass through the picoammeter as a result. Current is proportional to number of ions created per second in the chamber.
α radiation causes strong ionisation, however ceases at a certain separation - has a small range in air ~ a few cm.
β has a much weaker ionising effect than α, but range in air varies up to ~ a metre. A β particle produces less ions per mm along its path.
γ radiation has very low ionising power as photons carry no charge
Ionisation effect (Cloud chamber) setup + observations
Cloud chamber contains air saturated at a very low pressure, due to ionisation of the air, an α or β particle passing through the chamber leaves a visible track of condensed vapour droplets as the air space is supersaturated. When an ionising particle passes through the vapour, the ions produced trigger the formation of droplets.
α particles produce straight tracks that radiate from the source and are easily visible. Tracks are all the same length, indicating they all have the same range.
β particles produce wispy tracks that are easily deflected due to collisions with air molecules. Tracks aren’t as visible due to weaker ionising effect.
Absorption summary
α completely absorbed by paper + thin metal foil
β absorbed by 5mm of metal foil (Al)
γ absorbed by several cm of lead
Why do α particles from the same source have the same range but β particles don’t
α particles from a given isotope are always emitted with the same Ek, as each α particle and the nucleus that emits it move apart with equal and opposite momenta. However in the case of β emission, a neutrino/antineutrino is emitted as well. So the nucleus, β particle and neutrino all share the Ek in variable proportions
Radiation range in air
α - a few cm in air (range differs from one source to another indicating initial Ek differs between sources)
β - range up to ~ a metre, β particles from a source have a range of Ek to a maximum. Faster β travel more than slower ones due to more Ek
γ - Unlimited range, intensity (proportion of photons striking a point) decreases according to inverse square law, energy constant for a given source (hf)
Deflection in magnetic fields
Alpha deflected , beta deflected opposite to alpha and greater, gamma no deflection
What is alpha, beta and gamma radiation
Alpha - helium nucleus
Beta (naturally occuring) is fast moving electrons
Gamma - photons with wavelength of order 10^-11 or less
Intensity
Radiation energy per second incident on a unit area
=nhf/4πr²
at a distance r from the source, photons emitted pass through a total area of 4πr² (surface area of a sphere)
I = k/r² where k is above stuff enih
Verifying inverse square law for a radioactive source
Use Geiger counter to measure count rate at different distances from a source *corrected” count rate (-bg) is proportional to intensity. Standard procedure from then
Why does ionising radiation affect living cells?
It can destroy cell membranes, causing them to die
It can damage vital molecules, e.g. dna by creating “free radical” ions which damage nuclei, causing uncontrollable growth of cells (cancer)
Sources of background radiation
Air (Radon gas)
Cosmic rays
Nuclear weapons, nuclear power
Food and drink e.g. bananas
Air travel
Storage of radioactive materials
In lead lined containers, and should be thick enough to reduce gamma radiation from source to ~ background level. Additionally lock and key storage
Protocol for using radioactive sources
Solid sources should be transferred using tongs/tweezers - ensure sample is as far away as possible to limit exposure from gamma (alpha and beta absorbed by air)
Liquid and gas sources + solids in powder form should be in sealed containers - prevent source from being inhaled + liquid can’t be splashed on the skin
Sources shouldn’t be used for longer than necessary - the longer a person is exposed to ionising radiation, the greater the dosage received
Why is decay an exponential process
Number of nuclei that decay at a certain time is proportional to the number of nuclei remaining
Acitivity definition
Number of nuclei that disintegrate per second (Bq), proportional to mass of isotope
Energy transfer per second from a radioactive source
AE where E is the energy of a particle
A = n/t – chen rul
Forms of decay eq
N=N₀e^-λt
A=A₀ … M=M₀ …C=C₀ where lambda is the decay constant
Activity proportional to N, Mass proportional to N, Corrected count rate proportional to activity of source and therefore N
What is the decay constant λ?
The probability of an individual nucleus decaying per second
also = ln2/T(1/2)
Ideal properties of radioactive tracers
Half life stable enough for necessary measurements to be made, and short enough to decay quickly after use
Emit beta or gamma radiation so it can be detected outside the flow path
Argon dating
Potassium 40 decays into argon and calcium. Calcium decay is 8x more probable.
For every 1 argon atom present in N atoms of K, there must have been N+9 K atoms originally (8 decayed into Ca)
can use N=N0…
Measuring engine wear (txtbook)
Industrial uses of radioactive tracers
(make method fc later)
Detecting underground pipe leaks
Modelling oil reservoirs
Investigating uptake of fertilisers by plants
Monitoring uptake of iodine by thyroid gland
Explanation of N-Z curve
Light nuclei - 0<Z<20 Stable nuclei follow N=Z
20<Z Stable nuclei have more neutrons than protons, help to bind nucleons together without introducing repulsive electrostatic forces as more neutrons would do.
Alpha emitters beyond Z=60 Strong nuclear force between nucleons unable to overcome force of repulsion between protons
B- emitters occur to the left of stability belt where isotopes are neutron rich
B+ occur to right where isotopes are proton rich. (also electron capture)
How a gamma photon can be emitted after alpha/beta
If the daughter nucleus is in an excited state after emitting an alpha or beta particle, it emits a gamma photon to move to its ground state
What is binding energy
The work that must be done to separate a nucleus into its constituent neutrons and protons
What is mass defect
The difference in mass between the nucleus and the constituent nucleons
Why should incident alpha particle beam be narrow
- to define a precise location where the scattering
takes place - so that the scattering angle can be determined
accurately.
Feature of scattering experiment that suggested nucleus contains most of the mass
Some α particles are scattered through very large
angles (>90°, or back towards the source).
This can only occur if an α particle collides
with a particle of much greater mass than
its own mass.
Alpha dangers outside body vs inside
α radiation is highly ionising, hence causes
cancer/damages cells/kills cells/affects DNA.
Outside the body it is less damaging, because it is
absorbed by the skin (or is stopped by the skin, or
causes a burning sensation).
Inside the body it is more damaging, because it is
able to produce ionisation in vital organs such as
lungs.
Will continue to ionise body until removed
Benefits of gamma for medicine
γ rays are very penetrating (or α or β rays would
not be detected outside the body).
γ rays are less ionising, hence less hazardous to
patients (or α or β rays are more ionising and
more hazardous).
When bg radiation can be ignored
The background count rate is very much smaller
than the measured count rate (background count
rates are typically less than 1 counts s
−1
).
Random fluctuations in the measurements are
greater than the background ground count rate
Benefits of a short half life
- The activity is high (so only a small sample is
needed). - The radioisotope decays quickly.
- There is less risk to the patient.
- The medical test is of short duration.
Because T1/2 ∝1/lambda
Merits of using high energy electrons instead of alpha particles in scattering experiments
- Electrons are not subject to the strong nuclear
force. - With α particles the closest distance of approach
is measured, rather than R. - Electrons cause far less recoil.
- Electrons give greater resolution.
- High energy electrons are easier to produce.
Qualitative study of Rutherford scattering
Knew the atom contained electrons, Rutherford discovered how the positive charge was distributed
Controls for scattering experiment
α particles must have the same speed or slow α particles would be deflected more than faster particles on the same initial path
Container must be evacuated so particles aren’t absorbed by air
α source must have a long half life or later readings would be lower than earlier ones due to decay of the source nuclei
Why would a graph of count rate vs distance for a β emitter level off?
β particles absorbed by air molecules, producing γ photons
(Electron capture can produce γ photons due to excitation principles - excess e etc)
Dead time of a Geiger muller tube
Time taken to regain non conducting state after receiving ion, typically of order 0.2ms - Another particle received in this time won’t cause a voltage pulse, Therefore count rate should be no greater than 1/0.2s = 5000s^-1
How background radiation can vary geologically hint radon
Radon gas can accumulate in poorly ventilated areas of buildings in certain locations
If a certain thickness of absorber decreases the intensity of a gamma photon to 1/2, what would be the thickness needed to cut the intensity to 1/4
2x the thickness