“…The small numerical apertures of x-ray lenses limit the resolution to at best 10 nm, and thus the atomic resolution x-ray microscope is not feasible [1]. A lensless approach such as a point-projection microscope [2] is limited by the finite size of the x-ray source, which in order to accomplish high magnification has to be brought close to the object. X-ray diffraction methods, on the other hand, can be used only for crystals and, in addition, the so called phase problem makes the direct inversion of the diffracted intensities from reciprocal to real space impossible.…”