Nuclear Physics Flashcards
What is Rutherford’s Alpha Scattering Experiment?
An experiment used to show that the atom is largely empty space and that the majority of mass is in the positively charged nucleus
What happens to the Alpha Particles in Rutherford’s scattering experiment?
Most α is observed to pass straight through.
Some α is observed to be deflected by a small angle.
Very few α is observed to have been scattered by large angles.
How is Rutherford’s Alpha Scattering experiment conducted?
A slit focuses the beam of α towards a thin gold foil. in a Vacuum (as otherwise α will be ionised)
What are the conclusions of Rutherford’s Alpha Scattering Experiment?
Majority pass straight through ∴ largey empty space and distance too great for EM to have an effect.
Some deflect by small angles ∴ atoms have a positively charge nucleus and the positive charge of α is repeled by it.
Very few are deflected by large angles. ∴ most mass is in the nucleus, as the there is no recoil in the gold foil.
How do you calculate an upper limit for the size of a Gold nucleus?
Ek of α will entirly convert to electric potential when it is at its closest to the nucleus.
Ek = Ep
What does an Electron Diffraction pattern look like?
A large double width central maxima. Decreasing down to several non zero minima
How can an Electron Diffraction pattern be used to find the sizze of the nucleus?
The angle of the first minima and the De Broglie Wavelength into the Nλ = d x Sinθ
Why does an Electron Diffraction pattern have a non zero minima?
Because the “Fuzzy” nature of the edge of the nucleus.
“Fuzzy is exam board terminology”
What is the equation for the Radius of the Nucleus?
R = r0 x A^1/3 R = Radius of the nucleus / m r0 = Radius of a single Nucleon / m A = Atomic Mass (nucleon number)
How do you proove that Nucleus Density is Constant?
R = r0 x A^1/3 R ∝ A^1/3 R^3 ∝ A (R^3)/A = Constant Volume / Mass = Constant It is assumed that the Nucleus is spherical
Why do atoms have different densities when nuclei have the same densities?
Because of the presence of electron shells.
High mass atoms have a relatively small radius electron shells compared to low mass due to more charged protons and electrons.
What are the main causes of background radiation?
Natural:
Radon from the ground. (higher in rocks like granite)
Food and drink. Animals eat plants which have absorbed isotopes.
Cosmic Rays(very high energy photons)
Artificial:
Medical (eg x-rays)
What is Corrected Count Rate?
CCR
The actual count rate after background radiation has been factured into the measurement.
What is the equation for the Corrected Count Rate?
CCR = CR - BCR CCR = Corrected Count Rate / s^-1 (or min^-1) CR = Count Rate / s^-1 (or min^-1) BCR = Background Count Rate / s^-1 (or min^-1)
How does a Geiger Muller tube work?
A 450V DC supply would be connected to a central wire (positive electrode) which is surrounded by a Al tube (negative electrode). Between the two there is an inert gas (eg He, Ne or Ar). Radiation will react with the gass allowing for the current to pass. the number of times the current passes is counted.
What are the Properties of Alpha Radiation?
4u mass ≈ 6.68 x 10^-27 kg \+2 charge = +3.2 x 10^-19 C <10cm range in air Can be stopped by a thin piece of paper Very ionising 1 - 10 MeV (mono-energetic as each isotope gives a different energy)
What are the Properties of Beta Radiation?
5.5 x 10^-4 u ≈ 9.11 x 10^-31 kg
-1 charge = -1.6 x 10^-19 C
<2m range in air
Can be stopped by a few mm of Al
Moderatly ionising
0.1 - 2 MeV (continuous range of energy)
What are the Properties of Gamma Radiation?
No mass No charge "infinite" range in air Can be stopped by several inches of Pb Very low ionising potential 0.1 - 10 MeV ( discrete energy levels)
How is Alpha Radiation effected by B and E fields?
E-Field:
Deflected in direction of the field by small amount (due to Q/m and large mass)
B-Field:
Deflection obeys FLHR, deflected by small amount due to Q/m and large mass)
How is Beta Radiation effected by B and E fields?
E-Field:
Deflected in opposite direction of the field by large amount (due to Q/m and smallmass)
B-Field:
Deflection travels in the opposite direction to FLHR due to -Q, deflected by large amount due to Q/m and small mass)
How is Gamma Radiation effected by B and E fields?
It isn’t effected by either.
When a Nucleus is in a Excited State how does it return to ground state?
It emits a Photon (γ ray)
After the decay the nucleus has the same charge and mass, but has less potential energy.
What is the equation for the intensity of Gamma Radiation?
I = k / x² I = Intensity k = Constant X = Distance form source
How can the Intensity of Gamma Radiation be used to calculate the count rate at different distances?
I = k / x² I ∝ 1/x² CCR ∝ 1/x² x²CCR = 1 x(1)²CCR(1) = x(2)²CCR(2)
What are uses of Gamma Radiation?
Tracer in blood
eg. Technetium-99m (“m” mean meta-stable)
As can esily penetrate body, has a short half life and very low ionising.
What are the types of decay caused by the weak nuclear force.
Alpha Decay: unstable nucleus ejects a helium nucleus
Beta Minus Decay: Neutron in an unstable nucleus decays into a proton and an electron, which is ejected.
Beta Plus Decay: Proton in an unstable nucleus decays into a neutron and a positron, which is ejected.
Electron Capture: Electron in a shell is captured by a proton in the nucleus. Proton turns into a Neutron.
How are the four decay types observed?
Alpha: Ionises particle
Beta minus: Ionises particles
Beta plus: Annihilation with electron producing photons.
Electron Capture: X-ray photon is produced
What are the Symbols for Proton, Neutron and Nucleon numbers?
Proton = Z Neutron = N Nucleon = A
What is a Decay Series?
The path which an unstable isotope takes to reach stability.
They can have a single path or can branch including a range of different isotopes and elements.
How do you calculate the number of α and β decays in a Decay Series?
Calculate the difference in mass.
Divide the difference in mass by 4 as this will show the number of α’s (as only they change the mass).
Take away from the charge of the isotope 2x the number of α’s (this will show the difference between the product and initial isotope).
The difference is the number of β (as they increase charge).
What is the N-Z Graph?
It is a graph that plots proton number (x axis) and Neutron number (y axis). It shows what isotopes will undergo what type of decay.
Roughly what is the shape of the N-Z Graph?
The region of stability follows Y=X from x=0 to x=20 then gradient increases so that the area will pass through (80,120).
Just above for the length of the graph is the area containing β- decay isotopes.
Just above for the length of the graph is the area containing β+ decay and e- capture isotopes.
From 60-80 under the graph is the area which under goes α decay?
Which direction do Isotopes move on the N-Z Graph?
β- : down 1 and right 1 β+ : up 1 and left 1 e- capture : up 1 and right 1 α : down 2 and left 2 γ : no change
What is the Radioactive Decay Constant?
The probability that an unstable nuclide will decay in ONE SECOND