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We use photoemission electron microscopy to measure the ferroelastic twinwall angles at the surface of CaTiO$_\mathrm{3}$(001) and deduce the strainordering. We analyze the angular dependence of the photoelectron emission fromdifferent domain surfaces, each with their own characteristic tilt angle in thefactory roof-like topography. By considering the surface topography as a fieldperturbation, the offset in the photoemission threshold can be directly relatedto the tilt angles. With knowledge of the symmetry allowed twin walls wequantify twin topography between 179.1{\deg} to 180.8{\deg}.

Ferroelastic twin angles at the surface of CaTiO$_\mathrm{3}$ quantified by PhotoEmission Electron Microscopy