For over ten years, physicists have been able to pinpoint the exact positions of individual atoms with a precision finer than one-thousandth of a millimeter using a specialized microscope. However, this method has so far only provided the x and y coordinates. Information on the vertical position of the atom – i.e., the distance between the atom and the microscope objective – is lacking.

A new method has now been developed that can determine all three spatial coordinates of an atom with one single image. This method – developed by the University of Bonn and University of Bristol – is based on an ingenious physical principle. The study was recently published in the specialist journal Physical Review A.