Theories of scanning probe microscopes at the atomic scale

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Nanostructured surfaces: challenges and frontiers in nanotechnology (2004, positive): “Thus, a new frontier in nanoscience is being able to image the surface structure of insulators with atomic resolution (Giessibl 1995, 2003, Giessibl et al 2000, Hofer et al 2003).”
Direct visualization of defect-mediated dissociation of water on TiO2(110) (2006, background): “As such, subtleties in the experimental contrast formation are likely to be missed and a more rigorous approach may be necessary to reproduce the experimentally observed contras”
Coherent X-Ray Diffraction Imaging (2012, methodology): “Compared to scanning probe microscopy [5] and electron microscopy [4], CDI can be applied to image thick objects at high resolution in 3-D.”
Surface nanobubbles and nanodroplets (2015, background): “AFM is a member of the family of scanning probe microscopy (SPM), which is capable of characterization and manipulation of features on an atomic scale (Binnig, Quate, and Gerber, 1986).”
Scanning tunneling spectroscopy of high-temperature superconductors (2006, methodology): “This study illustrated the atomic character of the STM junction, which in effect can be viewed as an atom-to-atom contact see also Tsukada et al., 1983 , and initiated many subsequent works based on ab initio methods see, e.g., Ciraci and Batra, 1987; Tersoff, 1989; Hofer et al., 2001, 2003 .”