Electron density modeling and reconstruction of infinite periodic minimal
surfaces (IPMS) based phases in lipid-water systems.
I. Modeling IPMS-based phases
Department of Physics, Joseph Henry Laboratories, Jadwin Hall, Princeton University, Princeton NJ 08544 USA
smg26@cornell.edu
Received 15 January 1999 and Received in final form 20 October 1999
Abstract
This is the first of two papers dealing with the structural solution of
physical systems based on
infinite periodic minimal surfaces (IPMS), such as surfactant, lipid-water,
and block copolymer systems.
In the first paper, the mathematics of minimal surfaces is briefly reviewed and details of the
construction of the associate D, P, and G IPMS are described.
Electron density models of lipid-water systems based on these IPMS
are then constructed. The resulting models are then
Fourier transformed to calculate the amplitudes of the first few Fourier
terms. These amplitudes are then used to reconstruct the electron density
which
is examined and discussed. The subsequent paper will utilize the modeling
results to aid in solving the structure of several real physical systems
based on the D surface.
PACS
61.30.Cz Theory and models of liquid crystal structure - 87.15.By Structure and bonding - 83.70.Jr Liquid crystals: nematic, cholesteric, smectic, discotic, etc.
Copyright EDP Sciences, Società Italiana di Fisica, Springer-Verlag
