We develop and implement a direct computational method to obtain the
structure and complete molecular electronic polarisability tensor
directly from the first-principles–derived electron charge
distributions of mesogens based on a plane-wave basis set approach.
In our methods no
semi-empirical bond
polarisabilities or additivity approximations are introduced.
We have chosen two prototypical liquid crystal forming molecules to
illustrate the methods.
The
polarisability for (4-4′)-pentyl-cyano-biphenyl (5CB) is found to be in
excellent agreement with available experimental data. We also present
the molecular dipole, quadrupole and polarisability tensor for the
ferroelectric liquid crystal molecule
[ p-(n-decyloxy-benzylidene)-p-amino-(2-methyl-butyl)] cinnamate
(DOBAMBC). For 5CB, we compare calculated polarisabilities obtained
from our density functional plane-wave method with those based on
localised basis set techniques. We find that the polarisability is
generally overestimated by the localised basis methods and that the
results do not necessarily converge with increasing localised basis set
sophistication.