Module 6: Chapter 24 - Particle Physics Flashcards
How was the nucleus discovered?
Geiger and Mardsen’s Alpha-particle scattering
Explain the alpha particle scattering experiment:
- Geiger and Mardsen set up the apparatus with a thin layer of gold foil as the target layer and zinc sulfide as the detector. All the apparatus was then placed in a vacuum
- Positively charged alpha particles were fired towards a thin sheet of gold foil from a radioactive source. They were first passed through 2 thin lead slits in order to create an approximately parallel beam of particles
- Most of the alpha particles passed straight through the foil, however some were deflected as they passed through and very few were deflected by over 90 degrees.
- The alpha particles were detected by the zinc sulfide screen as when the alpha particle hit the screen, a tiny speck of light could be seen with a microscope
Explain the results of the alpha particle scattering experiment
- Most of the alpha particles passed straight through the foil, this indicates that the atom is mostly empty space
- About 1 in every 2000 alpha particles were scattered
- About 1 in every 10,000 alpha particles were deflected by more than 90 degrees. This could not be due to a collision between the alpha particle and the atom as the alpha particles had an energy of 6 million eV and the vibrational energy of a gold atom is only 0.02 eV, therefore if they did collide the gold atom would just be knocked out of the way. Therefore, the only way that the alpha particle could get this close to the gold atom to be deflected by this amount was if the positive charge was concentrated in a radius of 1x10⁻¹⁴m
What model of the atom was before the alpha scattering experiment?
JJ Thomson’s plum pudding model
What was the plum pudding model of the atom?
The atom consists of a sphere of positive charge with negative electrons embedded within it
Calculate the distance of closest approach to the centre of a gold nucleus (z = 79) if Rutherford used alpha particles of kinetic energy 1.2x10⁻¹² J in his scattering experiment
3x10⁻¹⁴m
What is the radius of an atom?
1x10⁻¹⁰m
How does the radius of the nucleus and atom differ for different elements?
- The radius of the nucleus differs depending on the nucleon number of the isotope of the element, however is around the order of 10⁻¹⁵m
- The radius of the atom is roughly the same for all elements (1x10⁻¹⁰m)
Why were only a small number of alpha particles scattered through large angles?
The chance of getting close to the tiny nuclei of atoms is very small, therefore fewer alpha particles are deflected through large angles
Approximately how large is an atomic nuclei (just to the rough order of magnitude)
1x10⁻¹⁵m
What is a nucleon?
A proton or a neutron
What is A?
Nucleon number
What is Z?
Proton Number
What is X?
Element symbol
What are the units for the masses of atoms and nuclear particles?
Atomic mass units (u)
What is one atomic mass unit (1u)?
One-twelth the mass of a neutrol atom of carbon-12
What is 1 atomic mass unit (1u) in kg?
1.661x10⁻²⁷ kg
What is the equation for the radius of a nucleus?
R = r₀∛A
r₀ = 1.2 fm, A = nucleon number
What is the value of r₀?
1.2 fm (1.2x10⁻¹⁵m)
What is r₀?
The average radius of a nucleon
What value is the prefix femto- (f) for?
1x10⁻¹⁵
Calculate the average density of the nucleus of an atom containing 28 protons and 36 neutrons
1u = 1.66x10⁻²⁷kg
2.29x10¹⁷ kg m⁻³
What is an assumption made when calculating the density of an atomic nucleus?
The nucleons are packed together with little or no empty space
Calculate the average density of the atom of an atom containing 28 protons and 36 neutrons
1u = 1.66x10⁻²⁷kg
2.54x10⁴ kg m⁻³
What is an assumption made when calculating the density of an atom?
- The entire mass of the atom is concentrated in the nucleus
- All atoms have the same approximate radius of 1x10⁻¹⁰m
In a helium-4 nucleus, calculate the electrostatic force of repulsion between the 2 protons at a separation of 10⁻¹⁵m
230N
Calculate the gravitational force of attraction between 2 protons in a helium nucleus at a separation of 10⁻¹⁵m
1.84x10⁻³⁴N
What are the 3 forces acting within the nucleus of an atom?
- Gravitational force
- Electrostatic force
- Strong nuclear force
Describe the nature and range of the gravitational force acting within the nucleus of an atom
- The gravitational force is an attractive force
- It exists between protons and neutrons due to the mass of nucleons in the nucleus.
- It is a long-ranged force and obeys 1/r² relationship
Describe the nature and range of the electrostatic force acting within the nucleus of an atom
- The electrostatic force is a repulsive force between protons in the nucleus due to the positive charge on a proton.
- However, it does not act between neutrons or neutrons and protons.
- It is a long-ranged force and obeys 1/r² relationship
Describe the nature and range of the strong nuclear force acting within the nucleus of an atom
- The strong nuclear force exists between all nucleons
- It is attractive at larger distances and repulsive at very short distances
- It is short ranged ~ 10⁻¹⁴m
What is the range of the strong nuclear force?
0 - 3fm
How does the density of a nucleus depend on the nucleon number?
The density of the nucleus is independent of the nucleon number, the density of all nuclei is roughly the same
Show that the density of the nucleus is independent of the nucleon number
What is the density of an atomic nucleus?
2.3x10¹⁷m
What is an isotope?
Isotopes are nuclei of the same element that have the same number of protons but different numbers of neutrons. All isotopes of an element undergo the same chemical reactions
What is the strong nuclear force?
One of the 4 fundamental forces in nature, acting on hadrons and holding nuclei together
Why does the nucleus not fly apart when the electrostatic force of repulsion is so much greater than the gravitational force of attraction acting within the nucleus?
Due to the strong nuclear force
Sketch a graph of the strength of the strong nuclear force against separation:
When is the strong nuclear force attractive?
0.5fm - 3fm
When is the strong nuclear force repulsive?
0fm - 0.5fm