Mathematics Projects

Diamond is looking for an enthusiastic student to develop public engagement activities for a range of visitors, using its new Visible Synchrotron (ViSR) beamline.

This placement is to develop different activities for visitors of different age ranges and experiences, from VIP visitors through to schools and universities. These activities are to cover the range from short visits of a few minutes at a time, to longer visits of up to a day, making measurements of the visible light using basic optical instruments.

Jupyter Notebooks are becoming a standard for data analysis and dissemination of results and methods.

The aim of this project is to:

Develop the interactive tools available in Jupyter (e.g. holoviews, ipywidgets) to improve how users interact with and process their data.

Develop the analysis tools for merging and analyzing this experiment data, in particular to compare and merge datasets from two different experiments.

Diamond Light Source is a world-class synchrotron x-ray facility, where laser-like beams are produced by relativistic electrons passing through periodic magnet arrays (‘undulators’). The energy of the x-ray emission lines can be tuned by varying the gap between pairs of parallel magnet arrays. While calculation of the approximate gap for the required energy is straightforward, a precise calculation, good enough to avoid the need for fine-tuning, remains a challenge.

The project will involve working closely with Diamond x-ray beamline and Insertion Device (undulator) scientists in order to develop and test an improved mathematical model of the undulator.

In protein crystallography, X-ray diffraction data is recorded on a sequence of 2D images which is subsequently analysed to determine the structure of the protein of interest.

The project will seek to classify individual X-ray diffraction datasets according to a number of classifiers using machine learning that give information to software developers about the interesting aspects of the datasets from a data processing perspective.

The goal of the project is to create a software tool that besides identifying cases with pathologies and classifying them also allows developers to easily query the database to retrieve datasets with the desired features.

A single inverted pendulum can be controlled with a simple proportional derivative integral (PID) loop but a triple inverted pendulum is much more challenging.

The successful candidate will build a pendulum / inverted pendulum rig. They will learn to implement a non-linear feedforward controller and an optimal feedback controller to stabilise the pendulums. Another challenge will be to implement a swing up algorithm which essentially swings the pendulum up far enough to be stabilised with the control algorithm. 

The project consists in the characterization of a wavelength dispersive spectrometer recently built on B18 beamline based on a graphite-coated curved crystal and position sensitive detector in Von Hamos geometry.

The aim is to investigate how different parameters associated to crystal, sample and X-ray source affect the energy resolution in one shot X-ray Emission (XES) and resonant X-ray absorption (XAS) data.

X-ray crystallography is used in some of the most exciting research at Diamond. The ways viruses attack cells, the functions of proteins in the body, and the states of materials deep inside the earth are all determined using this technique.

In this project you will learn the basics of crystallography by studying a simple but still interesting and useful example, namely quartz.

To develop these into working concepts, a software package is being written for calculating the X-ray scattering power of quartz crystals. You will assist the development of this software and produce a user-friendly web-based application for it.