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Module

PHY8045 : Quantum Modelling of Molecules, Solids & Nanostructures

  • Offered for Year: 2021/22
  • Module Leader(s): Professor Patrick Briddon
  • Lecturer: Dr Jon Goss, Dr Mark Rayson
  • Owning School: Mathematics, Statistics and Physics
  • Teaching Location: Newcastle City Campus
Semesters
Semester 1 Credit Value: 10
Semester 2 Credit Value: 10
ECTS Credits: 10.0

Aims

To present a formal expression of the basis of many-electron quantum-mechanics relevant to computational modelling of such systems.
To critically review the most common approaches to computational quantum mechanical modelling, reflecting upon both speed and accuracy and the roles played by the main approximations used.
To present through case studies the application of computational quantum simulations in chemical, physical and technology based problems.

Outline Of Syllabus

Many Electron Quantum Mechanics
Interacting electrons: quasiparticles, collective modes, and overview of general “many body theory”.
Empirical approaches: Tight binding, CNDO.
Hartree, Hartree Fock and density functional theory approaches. Exchange and correlation
Quantum chemistry: modelling of molecules; Hartree Fock theory in practice: Gaussian basis sets
Modelling of solids and nanostructures: practical implementations of DFT. Pseuopotentials.

Illustrative examples of computational exercises will be chosen from a selection including:

Molecules: Quantum chemistry; isomers of benzene; reactivity and frontier orbitals; thermochemistry.
Graphene, carbon nanotubes, fullerenes and related nanostructures. Electronic structure.
Semiconductor heterostructures: band edge diagrams of SiGe; GaAs/AlAs. Interfacial disorder.
Phonon spectra of real materials. Impact of defects; localised vibrational modes and uniaxial stress
Defects in semiconductors: role of modelling in characterisation.

Teaching Methods

Teaching Activities
Category Activity Number Length Student Hours Comment
Scheduled Learning And Teaching ActivitiesLecture441:0044:00Formal Lectures – Present in Person
Guided Independent StudyAssessment preparation and completion741:0074:00Completion of in course assignments/ examination revision
Guided Independent StudyIndependent study821:0082:00Preparation time for lectures, background reading, coursework review
Total200:00
Teaching Rationale And Relationship

Lectures are used for the delivery of theory and explanation of methods, illustrated with examples, and for giving general feedback on marked work.

Assessment Methods

The format of resits will be determined by the Board of Examiners

Exams
Description Length Semester When Set Percentage Comment
Written Examination902A50N/A
Other Assessment
Description Semester When Set Percentage Comment
Prob solv exercises1M50Coursework assignments
Assessment Rationale And Relationship

A substantial formal unseen examination is appropriate for the assessment of the material in this module. The coursework assignments allow the students to develop their problem solving techniques, to practise the methods learnt in the module, to assess their progress and to receive feedback; these assessments have a secondary formative purpose as well as their primary summative purpose.

In the event of on-campus examinations not being possible, an on-line alternative assessment will be used for written examination 1.

Reading Lists

Timetable