X-ray diffraction pattern from a bilayer with protein outside.

The X-ray diffraction pattern from a lipid bilayer has been reported previously; a series of fairly regularly spaced bands was both predicted and observed. In this note it is predicted that adding protein molecules at one or both surfaces of the bilayer will give rise to a cross-interference effect. For smaller amounts of protein, a more or less obvious ripple will be introduced into the bilayer pattern. The amount of protein, its thickness, and the distance from the bilayer to the protein layer all can be readily estimated from an observed ripple. Deciding whether the protein is all on one side or else distributed on both sides of the bilayer may be more difficult; by carefully recording and measuring the intensity near the center of the pattern one may be able to distinguish between the two possibilities. For larger amounts of protein, there will be more profound changes in the diffraction pattern. The theory developed here is applied in the following paper to a lipid dispersion incubated with cytochrome c and will be applied in a subsequent paper to a bacterial envelope. In an appendix it is shown that the patterns reported previously for several natural membranes do not confirm prediction for a normal, continuous lipid bilayer with all the protein outside. Thus it is doubtful that a structure of this kind is valid for these membranes.