Аннотация:Two phenomena were recently observed: efficient diffuse reflection of very cold neutrons (VCN) from nano-structured matter for any angle of neutron incidence to the matter surface, and also quasi-specular reflection of cold neutrons (CN) from nano-structured matter for small angles of neutron incidence to the matter surface. In both cases, powder of diamond nanoparticles was used as nano-structured matter, and the measured reflection probabilities by far exceeded the values known for alternative reflectors. Both these phenomena are already used in neutron experiments and for building neutron sources. In the present theoretical work, we consider an option of further increasing the efficiency of nano-structured reflectors due to replacing spherical nanoparticles by nanorods. We showed that VCN albedo from powder of randomly oriented nanorods is lower than their albedo from powder of nanospheres of equal diameter. However albedo of VCN and quasi-specular reflection of CN from powder of long nanorods oriented parallel to the powder surface exceed those for powder of nanospheres of equal diameter.