NUCLEAR PHYSICS Flashcards
(109 cards)
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…