Although lipid phases are routinely studied by X-ray diffraction, construction of their unit cell structures from the diffraction data is difficult except for the lamellar phases. This is due to the well-known phase problem of X-ray diffraction. Here we successfully applied the multiwavelength anomalous dispersion (MAD) method to solve the phase problem for an inverted hexagonal phase of a phos...

OF THESIS Submitted in Partial Fulfillment of the Requirements for the Degree of Master of Science Computer Science The University of New Mexico Albuquerque, New Mexico

The seemingly disparate notions of chiral color and quark-lepton nonuniversality are combined, and shown to be essential to each other as part of an underlying (and unifying) larger symmetry, i.e. supersymmetric SU(3). Both phenomena are accessible experimentally at the TeV energy scale. In the Standard Model of quarks and leptons, the electric charge has two components, i.e. Q = I3L + 1 2 Y, (...

We consider the problem of unfolding lattice trees and polygons in hexagonal or triangular lattice in two dimensions. We show that a hexagonal/triangular lattice chain (resp. tree) can be straightened in O(n) (resp. O(n)) moves and time, and a hexagonal/triangular lattice polygon can be convexified in O(n) moves and time. We hope that the techniques we used shed some light on solving the more g...

Several attempted syntheses of Ti-TMS1, a hexagonal mesoporous TiO2 reported by Antonelli and Ying,1 have resulted in a lamellar structure as determined by twodimensional powder X-ray diffraction and transmission electron microscopy (TEM). Conventional one-dimensional powder X-ray diffraction patterns of the lamellar materials are similar to those reported for Ti-TMS1.1 Regions, of similar size...

X-ray scattering has been performed on fully hydrated unoriented multilamellar vesicles of lecithins with even chain lengths n from 16 to 24 as a function of temperature in chain ordered phases. The longer chain lengths, n > or = 20, show anomalous behavior compared to the shorter chain lengths, n < 20. This report concentrates on n = 24. Although the history and time dependence shows that equi...

The thermotropic phase behaviour and chain dynamics of the dimyristoylphosphatidylcholine/myristic acid (1:2, mol/mol) mixture at pH 4.0 have been studied with 31P-NMR and spin-label ESR. Broadline proton-dipolar decoupled 31P-NMR spectra show that the system undergoes a transition from a lamellar phase to a non-lamellar phase at 47 degrees C. The 31P-NMR spectrum collapses, from a lamellar pow...

The second Zagreb coindex is a well-known graph invariant defined as the total degree product of all non-adjacent vertex pairs in a graph. The second Zagreb eccentricity coindex is defined analogously to the second Zagreb coindex by replacing the vertex degrees with the vertex eccentricities. In this paper, we present exact expressions or sharp lower bounds for the second Zagreb eccentricity co...