PH20063: Condensed matter physics 1 [WL]
[Page last updated: 21 April 2022]
Academic Year:  2022/3 
Owning Department/School:  Department of Physics 
Credits:  6 [equivalent to 12 CATS credits] 
Notional Study Hours:  120 
Level:  Intermediate (FHEQ level 5) 
Period: 

Assessment Summary:  EX 85%, PR 15% 
Assessment Detail: 

Supplementary Assessment: 

Requisites:  Before or while taking this module you must ( take PH20013 OR take PH20060 ) AND ( take PH20107 OR take MA20216 ) AND ( take PH20029 OR take PH20067 ) 
Learning Outcomes:  After taking this unit the student should be able to:
* know the ways in which crystal structures are described formally and relate structures in real space to those in reciprocal space; * describe how Xray and neutron diffraction is related to the properties of the reciprocal lattice, and used in structural studies; * discuss why classical theories of electrons in solids fail, and why they have to be treated quantum mechanically; * explain the concept of density of states; * describe how allowed and forbidden energy bands arise as a result of crystal potentials and how the properties of electrons in allowed energy bands determine the electrical and optical behaviour; * appreciate the difference between metals, semiconductors and insulators; * discuss the factors that control the electrical conductivity of metals and semiconductors; * describe classical theories of diamagnetism, paramagnetism, and the ferromagnetic properties of materials; * describe how crystalline structures vibrate, and the associated theories of heat capacity; * conduct short experiments on various topics, record details of experimental method and results to an appropriate standard, and write a scientific report displaying an appropriate standard of presentation, style, structure, attention to detail and analysis. 
Aims:  The aims of this unit are to introduce students to the basic ideas that underlie solid state physics, with emphasis on the behaviour of electrons in crystalline structures, particularly in materials that are metallic or semiconducting. 
Skills:  Written Communication T/F A, Numeracy T/F A, Data Acquisition, Handling, and Analysis T/F A, Information Technology T/F A, Problem Solving T/F A, Working as part of a group T/F, Practical laboratory skills T/F A. 
Content:  Crystal structures (4 hours): Translational symmetry; lattices and basis, Miller indices. Diffraction of waves in crystalline structures; Bragg law, the reciprocal lattice and Brillouin zones. Xray and neutron diffraction studies of crystal structures.
Electrons in solids (7 hours): Classical Drude theory and its failures. The Hall effect. Quantum (Sommerfeld) theory. Density of states and the Fermi sphere. The effect of crystalline periodicity. Energy band diagrams and effective masses. The distinction between metals, semiconductors and insulators. Semiconductors (4 hours): Holes. Basic properties of intrinsic semiconductors; Hmodel of doped semiconductors, donors and acceptors; pn junction. Magnetism (3 hours): Magnetic susceptibility. The origin of magnetic moments in solids. Classical models of diamagnetism and paramagnetism. Ferromagnetism and the exchange interaction. Lattice dynamics (4 hours): Optical and acoustic vibrations. Phonons. Classical and quantum theories of heat capacity. Laboratory: Performance of experiments designed further to develop practical skills and support lecture material. 
Programme availability: 
PH20063 is Compulsory on the following programmes:Programmes in Natural Sciences
PH20063 is Optional on the following programmes:Department of Physics

Notes:
