Our astrophysics degree courses
Our other courses: Physics courses, Specialist physics courses
Entry requirements for specific courses
The Physics and Astrophysics degree at Sheffield is composed of approximately 50% physics and 50% astrophysics, making it one of the few such programmes in the country to offer such a high fraction of astrophysics content as part of a physics degree. As well as covering almost every branch of astrophysics, the Physics and Astrophysics course at Sheffield provides students with the opportunity to spend their third year working at a University in North America or Australasia, and/or their fourth year working at the world-class research observatory on La Palma. |
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Core and optional modulesExamples of the 4 year MPhys Physics and Astrophysics degree modules are shown below. Our 3 year BSc course includes the content shown up to Year 3. |
Sample module descriptionsDetailed descriptions of some modules are shown below. Most of the modules are assessed by a combination of examination (around 70%) and coursework (30%). |
Year 1Core
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Year 1Our Evolving Universe The course provides a general overview of astronomy suitable for those with no previous experience of the subject. The principal topics covered are (1) the structure and evolution of stars, (2) the structure of the Milky Way, and the classification, structure and evolution of galaxies in general, (3) an introduction to cosmology and (4) extrasolar planets and an introduction to astrobiology. Introduction to Astrophysics This module aims to equip students with a basic understanding of the important physical concepts and techniques involved in astronomy with an emphasis on how fundamental results can be derived from fairly simple observations. The module will also cover Astronomical Spectroscopy and Gravitational Astrophysics. The lectures are supported by problem classes and laboratory work. |
Year 2Astronomical Techniques This course aims to provide an understanding of the tools and techniques used by astronomers to study the Universe, with an emphasis on ground-based optical observations. Topics covered include: astronomical telescopes, astronomical instruments and electronic detectors. This module builds on the Year 1 introduction to astrophysics and the topics covered in the first year astronomy lab. The module is designed to prepare students choosing to do observing projects in their third year and fourth (including the Tenerife field trip), and those intending to spend a year abroad on La Palma. As part of this module, all students must do an observing project using the University's 16 inch telescope. Extra-solar Planets and Astrobiology The module will cover the fundamental concepts in extrasolar planetary science and astrobiology. We will examine the methods used to discover extrasolar planets, both present and planned. We will then discuss current theories of planet formation and evolution in light of the planets we have discovered. We will examine life on Earth its origin, processes, evolution, and interaction with the Earth in the context of our only current example of life. We will then discuss the possibilities and search for life in the Solar System and beyond. In the context of the previous discussions we will critically examine ideas about the frequency of life, advanced life, and intelligent technological civilisations in the Universe. In this course we ask the basic questions: does other life exist, what is it like, and how can we find it? We obviously cannot answer these questions yet (although we hope to), and so this course concentrates on how to frame these questions within current scientific knowledge and thinking. For many aspects of this course there is no ‘correct answer’, just many competing theories and ideas. Galaxies This module aims to provide a comprehensive introduction to galaxies. It consists of six parts: (i) astronomical distance determination and galaxy classification; (ii) the properties of the main stellar and a gas components of our Milky Way galaxy, and its local environment; (iii) the properties of spiral galaxies; (iv) the properties of elliptical galaxies; (v) active galaxies; (vi) galaxy evolution. Students’ presentation and research skills are developed through a 2500 word essay assignment. |
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Year 3Core
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Year 3Introduction to Cosmology Cosmology is the science of the whole Universe: its past history, present structure and future evolution. In this module we discuss how our understanding of cosmology has developed over time, and study the observed properties of the universe, particularly the rate of expansion, the chemical composition, and the nature of the cosmic microwave background, can be used to constrain theoretical models and obtain value for the parameters of the now-standard Hot Big Bang cosmological model. Stellar Atmospheres This module describes how astronomers obtain information about the properties of stars from their atmospheres. On completion, students should be able to appreciate differences between the main spectral types, understand how the interaction of radiation with matter affects the appearance of a stellar atmosphere, including the major sources of opacity. Students will have a knowledge of the formation of spectral lines, line broadening mechanisms, plus an appreciation of the use of stellar continua and lines as atmospheric diagnostics. The outer solar atmosphere will also be discussed, together with outflows from late and early type stars. Astronomy Research Project This Year 3 Astronomy module provides an opportunity for students to develop and exercise their skills and ability to undertake independent, albeit closely supervised, research. Students are able to select from a wide variety of proposals for projects, many involving practical observation and field work; others are essentially theoretical or interpretative or require the development of computer programmes designed to simulate a variety of astronomical phenomena. Many projects are collaborative and encourage students to work with others in a team, especially those projects involving a field trip (currently to a telescope on La Palma). Assessment is based on individual written reports and oral examination. These provide exercise in presentational skills. |
Year 4Core
Options
Level 4 selected study at the Isaac Newton Group of Telescopes (ING) on La Palma, Canary Islands
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Year 4Cosmic Origins This module aims to develop qualitative understanding of current developments at the frontiers of astrophysics, within a general historical context. Cosmic Origins spans various aspects of contemporary astrophysics at a research level. The topics include: (a) observations and theory of star and planet formation; (b) advanced topics in stellar evolution; (c) The Transient Universe; (d) Formation and evolution of galaxies, including observations of high red-shift galaxies. High Energy Astrophysics The purpose of this module is to give a taste of a field at the forefront of current astronomical research, and to give a thorough understanding of high energy emission processes. Following an historical introduction to place the area in context, the theory of high energy emission processes is developed from first principles. The theory is then applied to explain various phenomena associated with active galactic nuclei and quasars the most luminous objects in the universe. The students' research and presentation skills are developed through a directed reading project on topics in high energy astrophysics and their problem solving skills through homework questions. |
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Detailed module descriptions
Year 1 modules
MAS165 |
Mathematics for Physicists
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PHY104 |
Introduction to AstrophysicsOne of four half modules forming the Level1 Astronomy course, PHY104 aims to equip students with a basic understanding of the important physical concepts and techniques involved in astronomy with an emphasis on how fundamental results can be derived from fairly simple observations. The module consists of three sections: |
PHY106 |
The Solar SystemOne of the four half modules forming the Level 1 astronomy course, but may also be taken as a standalone module. PHY106 covers the elements of the Solar System: the Sun, planets, moons and minor bodies. What are their structures and compositions, and what they tell us about the formation and history of the Solar System. |
PHY111 |
Our Evolving UniverseThe course provides a general overview of astronomy suitable for those with no previous experience of the subject. The principal topics covered are (1) how we deduce useful physical parameters from observed quantities, (2) the structure and evolution of stars, (3) the structure of the Milky Way, and the classification, structure and evolution of galaxies in general, (4) an introduction to cosmology and (5) extrasolar planets and an introduction to astrobiology. All topics are treated in a descriptive manner with minimal mathematics. |
PHY113PHY114 |
Professional Skills in Physics 1 & 2Training in practical laboratory work, Introduction to scientific computing, Errors, uncertainties and data analysis, Techniques of problem solving, Scientific Writing. |
Year 2 modules
PHY213 |
Stellar Structure and EvolutionThe module aims to provide an understanding of the physical processes occurring in stars and responsible for their internal structure and evolution from the main sequence to white dwarfs, neutron stars stars and black holes. It builds on Introduction to Astrophysics (PHY104) and seeks to explain the evolutionary phenomena described in Our Evolving Universe (PHY111). |
PHY216 |
GalaxiesThis Level 2 Astronomy half module aims to provide a comprehensive introduction to galaxies. It consists of six parts: (i) astronomical distance determination and galaxy classification; (ii) the properties of the main stellar and a gas components of our Milky Way galaxy, and its local environment; (iii) the properties of spiral galaxies; (iv) the properties of elliptical galaxies; (v) active galaxies; (vi) galaxy evolution. Students’ presentation and research skills are developed through a 2500 word essay assignment. |
PHY225 |
Programming in CThe aim of this module is to teach the key elements of C programming to enable the design of programs to perform tasks from numerical and computational physics. C is used extensively in scientific programming. This module also provides an appropriate introduction for students wishing to learn objectoriented programming later (e.g. in PHY207). |
PHY229 |
Extrasolar Planets and AstrobiologyThe module will cover the fundamental concepts in extrasolar planetary science and astrobiology. We will examine the methods used to discover extrasolar planets, both present and planned. We will then discuss current theories of planet formation and evolution in light of the planets we have discovered. We will examine life on Earth its |
PHY230PHY231 |
Experimental Physics 1 & 2PHY231 is a laboratory course which aims to develop skills in carrying out experimental physics, the use of instruments and other equipment, the analysis of experimental data, a careful approach to experimental accuracy, the estimation of experimental errors, the interpretation of observations with respect to theoretical prediction and the reporting and presentation of scientific results. PHY231 is a laboratory course similar to PHY230 and is an extension of that module. It is intended to expose single honours students to a wider range of different types of experiments than they could expect to meet by following the single module. |
PHY232 |
The Dynamic Interstellar MediumThe interstellar medium comprises the gas and dust that is located between stars in galaxy. This module aims to present an overview of the various components of the ISM, and its relevance to the cosmic cycle and astronomical observations; develop students appreciation of how atomic physics impacts upon astrophysical applications, such as the determination of properties of an ionized plasma; familiarize students with spectroscopic analysis tools during laboratory sessions. By the end of the module, students will be able to demonstrate a general knowledge of the principal constituents of the ISM; Show an understanding of the processes involved in the heating and cooling of interstellar gas; indicate a basic appreciation of the properties of dust grains, including their formation and destruction mechanisms; understand the basic properties of ionized regions for the pure hydrogen case and the more realistic situation involving trace metals; contrast photoionized with shock ionized nebulae, and understand the basics of gas dynamics for HII regions and supernova remnants; become familiar with manipulation of spectroscopic datasets through specialized software. |
PHY250 |
From Thermodynamics to Quantum MechanicsThis module provides a rigorous introduction to quantum mechanics via the Schrodinger equation and its application to a number of quantum systems. The concepts of operators and eigenstates in quantum mechanics and the importance of measurements are considered. The second main field of modern physics, special relativity, is applied to the study of the dynamics of particles travelling with velocities close to the speed of light. Thermodynamics is applied to model a number of thermal system and provides an understanding of the eventual heat death of the universe. The nature of the structure and dynamical properties of solids is covered. The physics content of the module is supported by relevant mathematics, including differential equations needed to understand a wide range of dynamic systems and the maths behind MP3 encoding. |
PHY251 |
From Electromagnetism to Atomic and Nuclear PhysicsContinuing the study of quantum mechanics this module applies the Schrodinger equation to increasing complex systems and considers some of the puzzles and paradoxes that arise in this field. The physics of the very tiny, atoms and nuclei, builds on the quantum mechanics developed in this and the previous module. Statistical physics demonstrates how basic probability concepts can be used to accurately model a wide range of systems from gases to photons. The properties of electrons in a solid, vital to our understanding of technologically important metals and semiconductors, is covered. A full description of the properties of electric and magnetic fields is developed; leading to the prediction of electromagnetic waves. |
Year 3 modules
PHY303 |
Nuclear PhysicsThis half moduleLevel 3 Physics course aims to cover the general properties of nuclei, to examine the characteristics of the nuclear force, to introduce the principal models of the nucleus, to discuss radioactivity and interactions with matter, to study nuclear reactions, in particular fission, fusion and the bomb, and to develop problem solving skills in all these areas. The motivation is that nuclear processes play a fundamental role in the physical world, in the origin of the universe, in the creation of the chemical elements, as the energy source of the stars and in the basic constituents of matter plus the best of all motives curiosity. |
PHY304 |
Particle PhysicsThis Level 3 Physics half module introduces students to the exciting field of modern particle physics. It provides the mathematical tools of relativistic kinematics, enabling them to study interactions and decays and evaluate scattering form factors. Particles are classified as fermions the constituents of matter (quarks and leptons) – or as bosons, the propagators of field. The four fundamental interactions are outlined. Three are studied in detail: Feynman diagrams are introduced to describe higher order quantum electrodynamics; weak interactions are discussed from beta decay to high energy electroweak unification; strong interactions, binding quarks into hadrons, are presented with the experimental evidence for colour. The role symmetry plays in the allowed particles and their interactions is emphasised. |
PHY305 |
Stellar AtmospheresThis module describes how astronomers obtain information about the properties of stars from their atmospheres. On completion, you should be able to appreciate differences between the main spectral types, understand how the interaction of radiation with matter affects the appearance of a stellar atmosphere, including the major sources of opacity. You will have a knowledge of the formation of spectral lines, line broadening mechanisms, plus an appreciation of the use of stellar continua and lines as atmospheric diagnostics. The outer solar atmosphere will also be discussed, together with outflows from late and early |
PHY306 |
Introduction to CosmologyCosmology is the science of the whole Universe: its past history, present structure and future evolution. In this module we discuss how our understanding of cosmology has developed over time, and study the observed properties of the universe, particularly the rate of expansion, the chemical composition, and the nature of the cosmic microwave background, can be used to constrain theoretical models and obtain value for the parameters of the now standard Hot Big Bang cosmological model. |
PHY309 |
Further Quantum MechanicsThis module builds on the quantum mechanics learned in the perquisites PHY202 and PHY206. The Heisenberg matrix formulation of the theory is developed from the Schrodinger wave picture. Approximately methods (perturbation theory and variational method) are derived and applied. Methods for solving time dependent problems are developed. Problems involving magnetic fields and spin are treated. Many particle wave functions for fermions and bosons are introduced. |
PHY320 |
Nuclear AstrophysicsThe aims of this Level 3 Astronomy module are: To examine the evidence for the present distribution of the chemical elements in the Universe; To study the various nuclear processes that have led to the evolution of these elemental abundances; To discuss the possible astrophysical objects where these elements are produced. |
PHY323 |
Dark Matter and the UniverseThis course will cover the following:
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PHY324 |
History of AstronomyThe module aims to provide an introduction to the historical development of modern astronomy. After a brief chronological overview and a discussion of the scientific status of astronomy and the philosophy of science in general, the course is divided into a series of thematic topics addressed in roughly chronological order. We will focus on the nature of discovery in astronomy, in particular the interplay between theory and observation, the role of technological advances, and the relationship between astronomy and physics. |
PHY332 |
Atomic and Laser PhysicsThis module covers the physics of atoms and lasers at an intermediate level. The course begins with a review of the Schrodinger equation for the hydrogen atom and the atomic wave functions that emerge from it. It then covers atomic selection rules, spectral fine structure and the effects of external fields. The spectra of selected multielectron atoms are described. The basic operation of the laser is then covered by introducing the concepts of stimulated emission and population inversion. The course concludes with a description of common lasers and their applications, including laser cooling of atoms. |
PHY341PHY342 |
Physics Project 1 & 2The aim of this half module is to provide an opportunity for students to exercise and develop their skills and ability to undertake independent, albeit closely supervised, research in physics. A very wide selection of projects is provided, often arising from current research in the Department. Many are practical, others are essentially theoretical or interpretative or require the development of computer programmes designed to simulate a variety of physical phenomena. Most projects are collaborative and encourage students to work in pairs. Assessment is based on individual written reports and oral examinations. These provide exercise in presentational skills. |
PHY380 |
Solid State PhysicsThis is the final core solid state physics module. It covers the classification of solids into the three types conductors, semiconductors and insulators, the free electron model, the origin of electronic band structure, the fundamental properties of conductors and semiconductors, carrier statistics, experimental techniques used to study carriers in a solid, the classification and physics of the principal types of magnetism. |
Year 4 modules
PHY401PHY402 |
Cosmic OriginsThis module aims to develop qualitative understanding of current developments at the frontiers of astrophysics, within a general historical context. Cosmic Origins spans various aspects of contemporary astrophysics at a research level. The topics include: (a) observations and theory of star and planet formation; (b) advanced topics in stellar evolution; (c) The Transient Universe; (d) Formation and evolution of galaxies, including observations of high redshift galaxies. PHY401 covers all topics, while PHY402 covers |
PHY420 |
Biological PhysicsThis module will introduce students to biological physics, that is, the application of principles and tools from physics to biological systems. Biological materials are often soft condensed matter with properties between those of simple liquids and solids. In addition biological matter is usually out of equilibrium due to internal biochemical sources of energy. Students will begin to explore the world of biological cells and biopolymer macromolecules, such as DNA. They will see how physics can help understand biological systems through mathematical models and experimental imaging techniques and how this can lead to new physics and applications in biology. |
PHY421 |
Advanced Particle PhysicsThe module provides students with a comprehensive understanding of modern particle physics. Focussing on the standard model it provides a theoretical underpinning of this model and discusses its predictions. Recent developments including the discovery of the Higgs Boson and neutrino oscillation studies are covered. A description of the experiments used to probe the standard model is provided. Finally the module looks at possible physics beyond the standard model |
PHY422 |
Magnetic Resonance: Principles and ApplicationsThe module will provide an overview of the basics of magnetic resonance, and then consider its applications in systems ranging from macroscopic living organisms, as in magnetic resonance imaging (MRI) widely used in hospitals, to Nanoscale systems where control of single or a few spins is now possible and can also be used for nanoimaging. Special attention will be paid to recent advances in solidstate nanoNMR and the control of single electron spins in solid state nanosystems using spin resonance techniques. |
PHY435 |
Physics in an Enterprise CultureThis is a seminar and workshop based course with a high level of student centred learning. The unit will introduce students to the methods and skills associated with project proposing, planning, costing, intellectual property issues, patenting and marketing. It will broaden students’ understanding of the mechanics of project suggestion, planning and implementing. The course is divided into two main themes: |
PHY461 |
High Energy AstrophysicsThe purpose of this module is to give a taste of a field at the forefront of current astronomical research, and to give a thorough understanding of high energy emission processes. Following an historical introduction to place the area in context, the theory of high energy emission processes is developed from first principles. The theory is then applied to explain various phenomena associated with active galactic nuclei and quasars the most luminous objects in the universe. The students' research and presentation skills are developed through a directed reading project on topics in high energy astrophysics and their problem solving skills through homework questions. |
PHY466 |
Development of Particle PhysicsThe module describes the development of several crucial concepts in particle physics, emphasising the role and significance of experiments. Students are encouraged to work from the original literature (the recommended text includes reprints of key papers). The module focuses not only on the particle physics issues involved, but also on research methodology the design of experiments, the critical interpretation of data, the role of theory, etc. Topics covered include the discoveries of the neutron, the positron and the |
PHY469 |
Physics of Soft Condensed MatterSoft condensed matter is a generic name for a class of materials that play a crucial role in technology as well as providing fascinating and timely scientific problems. These complex materials are typified by polymers, gels and colloidal dispersions, whose properties often seem intermediate between ordinary liquids and solids. Familiar examples from everyday life include plastics, soaps and detergents, foodstuffs, and indeed the material from which living organisms are constructed. Only relatively recently has it been realised that despite the complexity of these materials elegant and simple physical principles often underlie their behaviour; this course provides an introduction to these principles. |
PHY472 |
Advanced Quantum MechanicsThis module presents modern quantum mechanics with applications in quantum information and particle physics. After introducing the basic postulates, the theory of pure and mixed states is developed, and we discuss composite systems and entanglement. Quantum teleportation is used as an example to illustrate these concepts. In parallel with mixed states we develop the theory of imperfect measurements and the evolution of quantum systems that interact with an environment (open quantum systems). Next, we develop the theory of angular momentum, examples of which include spin and isospin, and the method for calculating Clebsch Gordan coefficients is presented. We discuss the relativistic extension of quantum mechanics, covering the Klein Gordon and Dirac equations and their solutions, and we give the equation of motion of a relativistic electron in a classical electromagnetic field. Finally, we explore some topics in quantum field theory, such as the Lagrangian formalism, scattering and Feynman diagrams, and modern gauge field theory. |
PHY475 |
Optical Properties of SolidsThis course covers the optical physics of solid state materials. It begins with the classical description of optical propagation. It then covers the treatment of absorption and luminescence by quantum theory, and the modifications caused by excitonic effects. The phenomena are illustrated by discussing the optical properties of insulators, semiconductors, and metals. The infrared properties of ionic systems are then discussed, and the course concludes with a brief introduction to nonlinear crystals. |
PHY480 |
Research Project in Physics and AstronomyStudents will work on a research project under the supervision of a faculty member over an entire academic year, usually the 4th year of an MPhys degree. The work will entail background research, acquiring the necessary skills, developing a research plan, carrying out the research, and writing up results and conclusion. Detailed information on this module is given on the Physics and Astronomy fourth year website. |
