Nuclear Flashcards
Alpha scattering conditions
Same speed alpha particles (or slower will be deflected more)
Vacuum or the alpha particles will be stopped
Long half life ( so later results not lower due to decay)
Lead shield to direct particles and give a columnated beam
Thin gold foil so only scattered once
Alpha
2 protons, 2 neutrons Range in air ≈ 100mm Very ionising 10^4 ions per mm in air Stopped by paper Deflected in magnetic and electric fields
Beta
Range in air ≈ 1 m
Stopped by ≈ 5mm aluminium
≈100 ions per mm in air
Deflected by magnetic and electric fields (more easily than alpha)
Gamma
Height frequency em radiation Intensity = k/d ^2 - inverse square law Not deflected in magnetic and electric fields Mildly ionising Very penetrating Stopped by several cm of lead
Sources of background radiation
Air, medical, ground and buildings, food and drink, cosmic rays, nuclear power, nuclear weapons, air travel
Randomness of decay
Cannot predict which nucleus in a sample will decay
Cannot predict when a nucleus in a sample will decay
Energy released per second
AE
Decay equations
N = No e^(- lambda t) A = Ao e^(- lambda t) A = lambda N
Half life equation
T1/2 = ln2/ lambda
Uses of isotopes
Carbon dating Argon dating Radioactive tracers Engine wear Thickness monitoring Power sources for remote devices
Why electrons are suitable for radius estimation
Can be accelerated
Have a de Broglie wavelength of ≈ 10^-15 which is similar to the diameter of the nucleus
Nuclear radius and atomic mass equation
R = ro A^1/3
ro = 1.05 fm
Energy and mass
E = mc^2
Energy transfer in beta decay
Energy released shared between beta particle, neutrino and nucleus
Beta particle has max Ek when neutrino has minimum
Max Ek beta particle is less than energy released due to conservation of momentum and the recoil velocity of the nucleus
Mass defect and binding energy
dm = mp + mn - m nuc
BE = dm c^2