We have studied the (110) surface of Fe \(_{3}\) O \(_{4}\) single crystals by means of X-ray Photoemission Electron Microscopy (PEEM) and Low-Energy Electron Microscopy (LEEM) to characterize its structural and magnetic properties. After sputtering and annealing a well defined surface was achieved. This preparation method resulted in a one-dimensional reconstruction formed by rows aligned in the [001] direction. By acquiring X-ray magnetic circular dichroism PEEM images at various azimuthal angles, the vector magnetization map of the (110) surface was obtained. Domains were observed with their magnetization aligned along the two \(\langle 111\rangle\) type bulk easy axes which are in the (110) surface plane, featuring 180 \(^{\circ }\) , 109 \(^{\circ }\) , and 71 \(^{\circ }\) domain walls. The domain walls are of Néel type. Using the sum rules we estimated an iron spin and orbital magnetic moment of 3.4 \(\mu _B\) and 0.6 \(\mu _B\) respectively for the reconstructed surface. At the oxygen K edge we observe dichroic contrast of close to 1%, which is reversed relative of the contrast detected from octahedral iron in the L \(_3\) edge.
