skip to content

Materials Theory Group

 
Introducing GOSH: the geometry optimisation of structures from hyperspace

Techniques which predict crystal structure are a mainstay of modern materials science. A key ingredient in these techniques is the optimisation of candidate structures, which then reveal local energy minima. Optimisations are typically carried out in ordinary 2-dimensional space (for 'flat' materials like graphene), or in 3-dimensional space (for bulk materials). In the case of methods like ab initio random structure searching (AIRSS), a sufficiently dense sampling of local minima then reveals the global energy minimum - and likely crystal structure - of a material.

However, it is well known that local optimisations can run the risk of becoming 'trapped' in sub-optimal high energy configurations. This usually occurs because of energy barriers which prevent a structure from rearranging into a more optimal configuration.

Writing in Physical Review B, Chris Pickard (University of Cambridge, Tohoku University) shows that adding extra dimensions to local optimisations can greatly enhance their efficacy. These additional dimensions allow structures to circumvent energy barriers that would otherwise be too large to overcome in ordinary 2- or 3-dimensional space. This technique - GOSH (geometry optimisation of structures from hyperspace) - gives significantly improved efficiency in structure prediction techniques that use stochastic sampling.

The article was published online on 6 February 2019 as an Editor's Suggestion, with an accompanying Synopsis in Physics.

 

Hyperspatial optimization of structures

Chris J. Pickard

Editor's suggestion in Physical Review B, 99, 054102 (2019)

DOI: 10.1103/PhysRevB.99.054102

Latest news

Successful Gordon Research Conference on Materials at High Pressure

27 September 2024

The Materials Theory Group was well represented at the Gordon Research at High Pressure Conference in Holderness, New Hampshire, from 14-19 July. This year, the conference was chaired by our group leader, Prof. Chris Pickard...

Predicting a potentially synthesisable ambient-pressure high-Tc superconducting hydride

10 May 2024

Superconductors are a class of materials which show zero resistance and the expulsion of magnetic fields below a critical temperature, T c . These materials have a wide range of applications, including fusion reactors where...

Fast and easy exploration of crystal properties using machine-learned Ephemeral Data-derived Potentials

12 January 2024

Machine learning is quickly gaining prominence in the field of computational materials science. In the Materials Theory Group, we develop so-called ‘machine learned interatomic potentials’ (MLIPs), which can describe the...

Structure and colour in nitrogen-doped lutetium hydride

19 December 2023

Superconducting materials have a wide range of applications - from efficient power transmission to the advanced electromagnetics used in MRI machines - due to their loss-free conductivity. Current practical superconductors...

Quantum-induced hydrogen hopping in high-temperature superconducting lanthanum polyhydride

14 April 2023

Figure caption : Quantum effects are essential for hydrogen to dynamically explore different configurations. On the left, we see how the hydrogen atoms cover much larger distances at all temperatures when quantum effects are...

Flat water and ice

26 September 2022

Figure Caption : Pentagonal ice – a two-dimensional form of ice predicted to form when water is squeezed between graphene sheets. Water can be found trapped in nanoscale cavities, for example in biological membranes, or in...

Congratulations Ben Shires!

2 August 2022

Ben completed his PhD viva last week, covering his work on SHEAP , and he will soon be Dr Shires. Congratulations! shires.jpg