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From historic experiments that revealed the structure of the atom, to cutting edge detectors and particle accelerators, in this module you'll explore how discoveries in Nuclear Physics have been made, and get a glimpse of some of the exciting cutting-edge research that's currently being undertaken around the world. This week is produced in collaboration with STFC, whose mission is to deliver world-leading national and international research and innovation capabilities and, through those, discover the secrets of the Universe.
2.1 Scattering Experiments (Questions)
2.2 Modelling Scattering (Simulation and Data Analysis activity)
2.3 Modelling Scattering (Questions)
2.4 Detecting Radiation (Questions)
2.5 Detecting Protons (Questions)
The Science and Technology Facilities Council is a United Kingdom government agency that carries out research in science and engineering, and funds UK research in areas including particle physics, nuclear physics, space science and astronomy.
Find out more about the STFC with Kit, Ayo, Amy, and Oliver in the video below.
Find out more about some of the cutting-edge facilities and exciting careers of STFC staff in the 'Find Out More' section at the bottom of the page.
The idea of the atom originated in Ancient Greece, where philosophers named the smallest building blocks of matter atoms. They believed that these were indivisible, solid particles and that differences in atomic shape and size gave rise to the different properties of matter.
Modern atomic theory then began in the early 1800s with chemist and physicist John Dalton. His idea of atoms was very similar to that of the ancient Greeks - tiny, solid balls that could not be broken down into anything simpler. However, as experiments advanced, our understanding of the atom also developed.
Following the discovery of the negative electron, and knowing that atoms were neutral overall, JJ Thompson proposed the Plum Pudding atomic model. This saw the atom as a positively charged 'pudding', with negative electrons embedded as 'plums' throughout. This model of the atom was disproved by an experiment completed by physicists Rutherford, Geiger, and Marsden.
In the video below, Kayleigh Gates and Abby-Rhian Powell from the University of Glasgow explain more about the famous Rutherford experiment, and how the same technique of scattering is still used in cutting-edge experiments today.
The plum pudding model of the atom, which was later disproved by Rutherford's experiment.
Kurzon, CC BY-SA 4.0, via Wikimedia Commons
In Rutherford's scattering experiment, an alpha particle was scattered from a gold nucleus. Assuming that the only force is coulomb repulsion (between the two positive charges), we can approximate the radius (r) of the gold nucleus by calculating the point of closest approach of the alpha particle.
If the alpha particle initially has a kinetic energy, Ek , this is converted to electric potential energy, Ep , at the point of closest approach.
Here:
Q1 = Charge of the alpha particle. This is given by Ze, where Z is the atomic number and e is the charge of a proton (or electron). e = 1.60 x 10-19 C; for the alpha particle, Z=2.
Q2 = Charge of the nucleus the alpha particle is scattering off. This is given by Ze, where Z is the atomic number and e is the charge of a proton (or electron). e = 1.60 x 10-19 C; for a gold nucleus, Z=79.
ε0 = Permittivity of free space = 8.85 x 10-12 Fm-1
r = point of closest approach of the alpha particle to the gold nucleus (approximated as the radius of the gold nucleus)
A common unit for the energy of a particle, that we will meet throughout this Masterclass, is the electron volt (eV). This is the energy of an electron when accelerated through a potential difference of one volt.
1 eV = 1.60 x 10-19 J
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Scattering and the Structure of the Atom
Scattering Calculations
Energy and Potential in Electric Fields 7
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Electrons are leptons meaning they will not interact with nucleons in the nucleus through the strong nuclear force as an alpha particle would, and so electron diffraction gives a far more accurate estimate of nuclear radius.
Scattering experiments can be modelled using ball bearings (small metal balls) rolled at a target. This is illustrated in the images below. Ball bearings are released from the ramp and scatter from the target. They are collected in the numbered pockets round the outside. The images below show a circular target on the left, and a triangular target on the right.
Circular Target
Triangular Target
You can download and run the full Scattering Simulation below. This will allow you to view the scattering experiment for a range of different target shapes, as well as varying the ramp angle (and thus the energy of the ball bearings).
Please note that this software is only suitable for Windows computers.
Unzip/extract the file contents.
Double-click on the file titled 'Scattering_Game.blend1' within the 'game' folder and follow the instructions to install it.
Once installed, click 'Controls' to learn how to play the game, and then 'Play Game' to start.
Use the up and down arrows on your keyboard to change the ramp angle. Use A and D to move left and right, and S and W to zoom in and out.
To select the circular target, press z and to select the triangular target, press x.
Place the ball bearings on the ramp by pressing 2 and release them by pressing the space bar. You should now be able to observe the scattering process.
Keep repeating this with different combinations - you will need to exit the game to reset the simulation.
Data analysis and statistics are a huge part of every discovery in science. This task involves data analysis on the scattering experiment (above) that relates to the kind of analysis done by scientists every day. We will be using either Excel or Google Sheets (free).
Data from the scattering experiment above for the circular and triangular targets are provided here:
You will only be able to view this data, so you must first either download the document, copy the document, or copy the data into an Excel spreadsheet or a Google Sheet. If you have any difficulties accessing this data, please let us know by emailing physics-bindingblocks@york.ac.uk
You should then work through the data analysis instructions, which are provided here:
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Scattering Simulation
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Whether you want to do fundamental research into the nature of the Universe, or have a more practical objective such as taking a medical image or monitoring radiation at a nuclear power station, it is crucial to be able to detect particles. Some detectors just register the presence of a particle, but others can measure its physical characteristics, like its energy, momentum, and charge. In general, there are two main types of detectors: Gaseous ionisation chambers and solid-state detectors.
In the video below, Dr Jamie Brown from the Universityy of York highlights an example of how nuclear physics research is converted into commercially available products - in this case, a wearable detector with a smartphone interface. The detector Jamie is talking about doesn’t just tell us whether there is radioactive material present. It can also give us information about dosage (how dangerous the material is) and can identify the isotope emitting the radiation within seconds (based on the gamma ray spectrum). Using the phone’s GPS, this detector can then create a map showing the location of any hazards.
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Radiation
Pair Production
Photons Interacting With Atomic Electrons
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Gaseous ionisation chambers utilise the ionising effect of radiation to generate electrical signals. A charged particle passing through the detector will ionise the gas molecules - giving an atomic electron sufficient energy to escape the atom and leaving a positive ion and negative electron. A voltage applied between the anode and cathode (see the diagram below) creates an electric field, which causes the ions to drift to opposite sides. The collection of these ions on the electrodes will register a current, signalling the presence of a particle. The Geiger Muller counters you may already be familiar with are examples of gaseous ionisation detectors. Photons can also cause ionisation. However, this type of detector is much less sensitive to photons compared to solid state detectors.
There are different types of solid-state detector systems:
Semiconductor Detectors utilise semiconductors such as silicon or germanium. Unlike a metal conductor, a semiconductor can only conduct if some of the electrons are given additional energy to allow them to move freely in the material. Charged particles or photons interact with the semiconductor to produce these free electrons, leaving a ‘hole’ behind. Typically, the number of electron-hole pairs is proportional to the energy deposited by the particle or photon. The electrons and holes travel to the electrodes under the influence of an electric field, and an electric pulse registers the passage of ionising radiation through the system. Semiconductor detectors provide better energy measurements than gaseous systems. This is because electrons can be freed at lower energies in semiconductors than in gas detectors. However, semiconductor detectors are more expensive.
Scintillation counters use materials which emit photons (scintillate) in response to radiation. A charged particle going through a scintillator excites molecules along its path, which then de-excite by the emission of a photon. The emitted photon is then detected by a light sensor such as a photomultiplier tube or photodiode, which converts the light to an electronic signal for reading.
Cherenkov detectors allow the detection of particles with speeds greater than that at which light can travel through the material. Although we tend to think of the speed of light as the ‘speed limit’ of the universe, the speed of light varies depending on the medium it is passing through. This is why we see refraction when light enters water or a glass block. Some particles are not slowed to the same extent in different media, so can travel faster than the speed of light in these conditions. Particles travelling through a medium at speeds larger than the speed of light within the medium emit light in a process similar to sonic booms with sound. By carefully choosing the medium with an appropriate refractive index, this system allows us to identify particle types.
Tracking detectors reveal the path or ‘track’ taken by a particle. If we also use a magnetic field, we can work out a particle’s momentum and charge. This is because a magnetic field perpendicular to the direction of the particle motion will exert a force, causing the particle to follow a curved path. The radius of the curve is directly proportional to the particle momentum, and the direction of the curve reveals the charge of the particle.
Other types of detectors, called calorimeters, are used to measure particle energies. These detectors rely on the interaction of particles with matter. The particles are completely stopped within the detector and all of their energy is absorbed. Different detector systems need to be employed to detect, identify, and measure the characteristics of different types of particles. Therefore, many modern particle detectors are composed of layers of sub-detectors, each designed to look for particular properties or specific types of particle. For example, the Atlas detector at CERN has six different detecting subsystems and, at 46m long, 25m high and 25m wide, it is the largest volume particle detector ever constructed.
In the video below, nuclear physicists Dr Marina Petri (University of York), Dr Marc Labiche (STFC Daresbury Laboratory), and Dr Carl Unsworth (STFC Daresbury Laboratory) explain why a tracking detector for protons was needed, and the process of designing and building this device.
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Detecting Protons
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ISIS Neutron and Muon Source is a world-leading centre for research at the STFC Rutherford Appleton Laboratory. Their neutron and muon instruments give unique insights into the properties of materials on the atomic scale.
Find out why neutrons make excellent probes for materials here; or take a 360 degree tour here; or why not see some of the exciting jobs at ISIS in the staff profiles here.
Boulby Underground Laboratory is the UK’s deep underground science facility, located 1.1km below ground in Boulby mine, a working potash, polyhalite and salt mine in the North East of England.
Find out more about this amazing facility in this short video.
Watch a video of Boulby's Emma Meehan, explaining her amazing career path - from cleaner, to the Institute of Physics' Technician Award winner in 2019, to her current role as Facility Manager.
CERN is most well known for the Large Hadron Collider - the largest and most powerful particle accelerator in the world. With a 27km ring of superconducting magnets accelerating two beams of particles to almost the speed of light in opposite directions, UK membership of CERN gives physicists and engineers access to some of the world’s biggest and most complex scientific instruments to study the basic building blocks of matter.
CERN has lots of interesting reading and engaging content on their website. We particularly like this virtual tour of the Large Hadron Collider.