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
Received 15 January 1999 and Received in final form 20 October 1999
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.
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.
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