The proposed technology provides refiner segment pair comprising a first segment (30) and a second segment (31), said first segment (30) being configured to be used with a rotor disc for a refiner of lignocellulosic material and said second segment being configured to be used with a stator disc for said refiner of lignocellulosic material, said first and second refining segments (30; 31) comprising protruding structures (40) for grinding of said lignocellulosic material. The height of the protruding structures (40) on said first refining segment (30) is at least three times larger than the height of the protruding structures (40) on said second refiner segment (31). The proposed technology also provides a refiner comprising such a refiner segment pair and the use of a refiner segment pair (30; 31) in a refiner (1) for refining lignocellulosic material.