* Benedikt Rösner, benedikt.roesner@psi.ch X-ray microscopy and spectroscopy are powerful tools to gain valuable insight into many exciting, scientifically relevant samples. Development in microscopic methods has always aimed for achieving spatial resolutions as high as possible. Although highly confined X-ray beams with spot sizes well below 10 nm have been characterized in recent years using mirrors [1], Fresnel zone plate (FZP) lenses [2,3] or multilayer Laue lenses [4,5], X-ray imaging with single-digit nanometer resolution remains an extreme challenge.We report on unprecedented spatial resolution down to 7 nm achieved at two soft X-ray microscopes using photon energies between 700 eV and 850 eV. The experiments were performed at the scanning transmission X-ray microscopes (STXM) at the PolLux beamline at the Swiss Light Source [6] and the Hermes beamline at Synchrotron Soleil [7]. The scientific applications of these two instruments lie in the combination of microscopy and spectroscopy, where high spatial resolution provides a major benefit for scientific research.The key element in a STXM for achieving small spot sizes and thus high resolution is the Fresnel zone plate (FZP) commonly used as X-ray lens. An elegant method to fabricate high-resolution FZPs has been introduced by doubling the line density obtained from the lithography step utilizing atomic layer deposition [8,9]. This method has been applied to fabricate FZPs with zone widths down to 12 nm [8][9][10]. By further optimization of the nanofabrication process, we have fabricated FZPs with outermost zone widths well below 10 nm and heights between 60 nm and 80 nm [11]. The specifications for the lenses were chosen according to the illumination at the PolLux and Hermes beamlines [6,7], ensuring that the zone plate dimensions match the coherence length and energy bandwidth of each beamline. To achieve the highest possible spatial resolution, the experimental geometry and mechanical stability of the STXM endstations had to be optimized. Special attention has to be paid to the extremely short focal length, and to the mechanical stability of the sample stage. While the former challenge can be addressed by using a thin order-sorting aperture, the latter one has to be addressed by carefully optimizing the position control and feedback system. In this way, the maximum amplitude of sample displacement with respect to the zone plate has been brought to ± 3 nm perpendicular to the beam axis.In order to characterize the spatial resolution of our FZPs, we recorded images of high-resolution test patterns. The test patterns consist of a periodic repetitions of an iridium line, an HSQ line, a second iridium line, and a gap. The lateral dimensions of each line or gap of the investigated test samples are 10 nm, 9 nm, 8 nm, and 7 nm (Figure 1). We scanned the test objects in point-by-point mode with steps