Abstract: By using the relation between the positive lattice and the negative lattice，the spatial orientation of the crystal columns and the crystal plane of the same exponential are inferred in the cubic crystal in the cell - based vector and unit cell axis vector coordinate system. The results show that the crystal columns are perpendicular to the crystal plane of the same index in cubic crystal in the axis vector coordinate system. The spatial orientation of the same index crystal lattice is related to the specific crystal lattice structure in the cell - based vector coordinate system.

Key words: solid state physics, crystal columns, crystal surface, reciprocal lattice