  X-ray as well as electron diffraction are powerful tools for structure
determination of molecules. Studies on randomly oriented molecules in the
gas-phase address cases in which molecular crystals cannot be generated or the
interaction-free molecular structure is to be addressed. Such studies usually
yield partial geometrical information, such as interatomic distances. Here, we
present a complementary approach, which allows obtaining insight to the
structure, handedness and even detailed geometrical features of molecules in
the gas phase. Our approach combines Coulomb explosion imaging, the information
that is encoded in the molecular frame diffraction pattern of core-shell
photoelectrons and ab initio computations. Using a loop-like analysis scheme we
are able to deduce specific molecular coordinates with sensitivity even to the
handedness of chiral molecules and the positions of individual atoms, as, e.g.,
protons.
