“…UCN can be guided by total reflection in tubes either made of a suitable neutron reflecting material or coated with such a material. The transport is accompanied by many wall reflections and hence the loss probability per wall collision is an important quantity [3,11,14,15,28,33,40,42,43,49,53,61,64,66,71], as well as transport losses by diffuse reflection. As known, for a rough surface the probability of diffuse scattering is approximately given by ∼( d/λ) 2 [42,49,64], where d is the average surface roughness and λ the UCN wavelength.…”