  Frustrated magnetic systems exhibit extraordinary physical properties but
quantification of their magnetic correlations poses a serious challenge to
experiment and theory. Current insight into frustrated magnetic correlations
relies on modelling techniques such as reverse Monte Carlo methods, which
require knowledge about the exact ordered atomic structure. Here we present a
method for direct reconstruction of magnetic correlations in frustrated magnets
by three-dimensional difference pair distribution function analysis of neutron
total scattering data. The methodology is applied to the disordered frustrated
magnet bixbyite, (Mn1-xFex)2O3, which reveals nearest-neighbor
antiferromagnetic correlations for the metal sites up to a range of
approximately 15 {\AA}. Importantly, this technique allows for magnetic
correlations to be determined directly from the experimental data without any
assumption about the atomic structure.
