Issue 10, 2016

Flexibility in MOFs: do scalar and group-theoretical counting rules work?

Abstract

We investigate the ability of counting rules drafted from engineering to predict the flexibility or rigidity of bar-and-joint or body-and-joint assemblies representing metal organic frameworks. We show that while scalar counting rules are not reliable, group-theoretical approaches are able to disentangle mechanisms from states of self-stress and to predict the existence of flexible mechanisms. We give several detailed examples of such calculations, highlighting the fact that behind an abstract exterior they are in fact easy to apply and similar to the method used to obtain molecular vibrations. We also correct a slight misinterpretation of the rigidity of IRMOF-1.

Graphical abstract: Flexibility in MOFs: do scalar and group-theoretical counting rules work?

Supplementary files

Article information

Article type
Paper
Submitted
13 Way 2015
Accepted
18 Kax 2015
First published
23 Kax 2015

Dalton Trans., 2016,45, 4360-4369

Author version available

Flexibility in MOFs: do scalar and group-theoretical counting rules work?

A. Marmier and K. E. Evans, Dalton Trans., 2016, 45, 4360 DOI: 10.1039/C5DT03586D

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