A method for mechanically classifying polycrystalline silicon chunks or granules with a vibratory screening machine, involves setting silicon chunks or granules present on one or more screens each comprising a screen lining in vibration such that the silicon chunks or silicon granules perform a movement which causes the silicon chunks or silicon granules to be separated into various size classes, wherein a screening index is greater than or equal to 0.6 and less than or equal to 9.0.