1. A method for processing cylindrical surfaces of the parts of the crystal on the basis of α-aluminum oxide modification with achieving the surface roughness Ra2 ÷ 5Å, comprising drilling preforms parts of the crystal based on α-aluminum oxide modification with a diamond tool, a three-stage mechanical treatment of the surface with a diamond tool in presence of coolants with successive decrease of the grain size of the abrasive to 125/100 and / or 100/80 microns, removal of internal stresses in Zagot ah annealing method in a muffle furnace, semi-soft surface treatment or soft polishing wheel or lapping with diamond grit 5/3 mm and / or 1/0 mm per hour oil tribochemical polishing surface of the polishing composition based on colloidal SiO.2. The method of claim 1, where the crystal on the basis of α-modification of aluminum oxide is a single crystal leykosapfira.3. The method of claim 1, where the crystal on the basis of α-aluminum oxide modification is a crystal with impurities selected from the group consisting of alexandrite crystal color, red ruby, sapphire blue, orange sapphire padparadzha orange, yellow sapphire, sapphire, green, pink sapphire, dark red sapphire, purple sapfir.4. A method according to any one of claims 1-3, wherein the items are cylinder and piston plunger pary.5. The method of claim 1, wherein the working part of semi-soft or soft lapping or polishing wheel made of polyurethane suede or felt sukna.6. The method of claim 1, wherein as the polishing composition based on colloidal SiOispolzuetsya NALCO-2354, NALCO-2360 or Siopol-1.7. Plunger pair comprising at least one outer piece1. Способ обработки цилиндрических поверхностей деталей из кристалла на основе α-модификации оксида алюминия с достижением шероховатости поверхности Ra2÷5Å, включающий высверливание предварительных заготовок деталей из кристалла на основе α-модификации оксида алюминия при помощи алмазного инструмента, трехступенчатую механическую обработку поверхности алмазным инструмен
