Determination of silicon unit cell parameters by precision measurements of Bragg plane spacings

AbstractFrom the Bragg spacings of a whole set {hkl} of equivalent lattice plances related by symmetry, the axial lengths, axial angles and the volume of the unit cell of a highly pure silicon crystal are calculated. In crystal-to-crystal comparison measurements, relative aberrations from the cubic shape in the order of ±2×10−7 are found. With an average value $$\overline {d(220)} = (192,015.558 \pm 0.018)$$ fm, a volumev=(0.160193259±0.000000044) nm3 of the unit cell at 22.50°C and vacuum conditions is derived.