Theor Chem Acc (2007) 117:885–901
DOI 10.1007/s00214-006-0209-y
REGULAR ARTICLE
Structure and dynamics of mesogens using intermolecular
potentials derived from ab initio calculations
Claudio Amovilli · Ivo Cacelli · Giorgio Cinacchi ·
Luca De Gaetani · Giacomo Prampolini ·
Alessandro Tani
Received: 16 June 2006 / Accepted: 13 October 2006 / Published online: 19 December 2006
© Springer-Verlag 2006
Abstract A method for the calculation of the two-
body intermolecular potential which can be applied to
large molecules is presented. Each monomer is frag-
mented in a number of moieties whose interaction ener-
gies are used to recover the interaction energy of the
whole dimer. For these reasons this strategy has been
called fragmentation reconstruction method (FRM). By
a judicious choice of the fragmentation scheme it is
shown that very accurate interaction energies can be
obtained. The sampling of the potential energy sur-
face of a dimer is then used to obtain intermolecular
force fields at several levels of complexity, suitable to be
employed in bulk phase computer simulations. Applica-
tions are presented for benzene and for some mesogenic
molecules which constitute the principal interest of the
authors. A number of properties ranging from phase
stability, thermodynamic quantities, orientational order
parameter and collective dynamics properties are com-
puted and discussed.
Keywords Condensed matter · Simulation methods ·
Liquid crystals · ab initio force field
1 Introduction
In the theoretical approach to material science and, in
particular, to liquid crystal (LC) field, computer simula-
tions methods such as Monte Carlo (MC) and molecular
C. Amovilli · I. Cacelli (B ) · G. Cinacchi · L. De Gaetani ·
G. Prampolini · A. Tani
Dipartimento di Chimica e Chimica Industriale,
Università di Pisa, via Risorgimento 35,
56126 Pisa, Italy
e-mail: ivo@dcci.unipi.it
dynamics (MD) are by far the most employed [1–4]. The
structural and dynamic macroscopic properties, obtained
through simulations, are derived from the adoption of
a model potential, which contains the description of
the molecular framework and interactions. The strong
dependence of LC phase stability from the molecular
features [1, 5, 6] makes the understanding of the link
between microscopic structure and macroscopic mes-
ophase properties a challenge for the scientific commu-
nity. This extraordinary sensitivity to the details of the
molecular structure arises [2, 6] from a complex inter-
play between energetic effects (as the molecular interac-
tions: electrostatic, dispersive and inductive forces) and
entropic ones (like positional, orientational and confor-
mational distributions). From a thermodynamic point
of view, the balance among these free energy terms is
critical for the (meso-)phase stability. Small variations
in the molecular framework can alter this delicate equi-
librium, affecting significantly the phase diagram of the
system.
As a matter of fact, it is in the force-field (FF) specifi-
cation that the microscopic interactions are introduced
in the simulation method, and the chemical identity
of the molecule finds a correspondence in the bulk ob-
servables. In particular, in LC field the abovementioned
delicate interplay between the forces governing the
mesogenic properties calls for very specific molecular
models. This poses some doubts on the reliability of a
straightforward adoption of the most widely employed
FF’s [7–10], since their extension to large LC forming
molecules, can be done only invoking a high degree
of transferability. Indeed, it has been pointed out that
small differences in the molecular structure may pro-
duce impressive variations in the macroscopic proper-
ties, so that transferability must be used with caution.