Hydrocarbon chain packing modes in lipids: effect of altered sub-cell dimensions and chain rotation

The lateral hydrocarbon chain packing modes of lipids have been described in terms of specific hydrocarbon sub-cells as deduced from single crystal structural studies. To understand the changes in hydrocarbon chain packing in lipid bilayers induced by variations in temperature, hydration, ion-binding, etc., we have examined the effect on the calculated X-ray diffraction pattern of (a) systematic variations in the dimensions of the hydrocarbon sub-cell and (b) the effect of chain rotation at fixed lattice sites. For the O perpendicular (orthorhombic) sub-cell, the a and b sub-cell parameters were varied from as = 4.96 to 4.85 A and bs = 7.42 to 8.40 A in six steps and the positions (s = 2 sin theta/lambda) and intensities (Icalc = F2) of the strong sub-cell reflections calculated. In this way, the conversion of the O perpendicular sub-cell (with either fixed chain orientations or simulated chain rotation) to the hexagonal (H) sub-cell (with chain rotation) was followed. Notably, the two strong reflections characteristic of the O perpendicular sub-cell at 4.12 A (110) and 3.71 A (020) show progressive shifts in position and intensity, finally merging to give the strong (O1O) reflection at 4.2 A characteristic of the hexagonal sub-cell. Similar calculations were performed for the orthorhombic (O' perpendicular) and monoclinic (M parallel) sub-cells. This approach can be used to analyze changes in the X-ray diffraction data due to modifications of the hydrocarbon chain packing modes characteristic of simple and complex lipids.