  SrHo2O4 is a geometrically frustrated magnet in which the magnetic Ho3+ ions
form honeycomb layers connected through a network of zigzag chains. At
low-temperature two distinct types of short-range magnetic order can be
inferred from single crystal diffraction data, collected using both polarized
and unpolarized neutrons. In the (hk0) plane the diffuse scattering is most
noticeable around the k = 0 positions and its intensity rapidly increases at
temperatures below 0.7 K. In addition, planes of diffuse scattering at Q = (hk
+/- l/2) are visible at temperatures as high as 4.5 K. These planes coexist
with the broad peaks of diffuse scattering in the (hk0) plane at
low-temperatures. Correlation lengths associated with the broad peaks are L ~
150 {\AA} in the a-b plane and L ~ 190 {\AA} along c axis, while the
correlation length associated with the diffuse scattering planes is L ~ 230
{\AA} along the c axis at the lowest temperature. Both types of diffuse
scattering are elastic in nature. The highly unusual coexistance of the two
types of diffuse scattering in SrHo2O4 is likely to be the result of the
presence of two crystallographically inequivalent sites for Ho3+ in the unit
cell.
