Nuclear Physics Flashcards
E = mc^2
E = energy (J)
m = change of mass (kg)
c = speed of light in free space (3x10^8)
What happens during annihilation?
- a particle and its corresponding antiparticle meet
- 2 gamma photons are produced
- each of energy (mc^2) - mass is of the particle
What happens in pair production?
- a single gamma photon of energy in excess of 2mc^2
- produces particle and antiparticle
- each of mass, m
The energy released formula
Q =mc^2
Alpha decay energy change
- nucleus recoil when alpha particle is emitted so the energy released is shared between the alpha and nucleus
the energy released is shared between the alpha particle and nucleus in inverse proportion to their masses
Beta decay energy change reactions
- energy released in variable proportions between the beta particle, nucleus, neutrino or antineutrino released in decay
- when beta particle has maximum kinetic energy - the neutrino or antineutrino has negligible kinetic energy
- maximum kinetic energy of the beta particle is very slightly less than the energy released in the decay because of the nucleus recoil
Electron capture energy changes
- nucleus emits a neutrino which carries away the energy released in the decay
- the atom also emits an X-ray photon when the inner shell vacancy due to the electron capture is filled
How do you calculate the energy released in MeV
- calculate the difference between the total initial mass and total final mass in u
- multiply by 931.3 to give energy in MeV
Define: binding energy of the nucleus
the work that must be done to separate a nucleus into its constituent neutrons and protons
Define: mass defect of a nucleus
the difference between the mass of the separated nucleons and the mass of the nucleus
formula for ass defect of a nucleus
m = Zmp + (A-Z)mn - Mnuc
- Z = proton number
- A = nucleon number
- mp = mass of a proton (kg)
- mn = mass of a neutron (kg)
- mtotal = measured mass of the nucleus (kg)
nuclear stability - to what mass number is it fusion
1 to 50
What mass number is it fission
50 and above
Nuclear fission
- the process in which a large unstable nucleus splits into two fragments which are more stable than the original nucleus
- the binding energy per nucleon increases
nuclear fusion
- the process of making smaller nuclei fuse together to form a larger nucleus
- product has more binding energy per nucleon than the smaller nuclei
- binding energy per nucleon also increases - provided that the nucleon number of the produce isn’t greater than about 50