The present invention relates to the field of separating chiral isomers from each other. Particularly, it relates to the field of separating of chiral isomers of chromane or chromene compounds, particularly tocopherols, 3,4-dehydro-tocopherols and tocotrienols, as well as the protected forms thereof. It has been found that the use of supercritical carbon dioxide as mobile phase combined with the very specific chiral phase as stationary phase leads to a very efficient separation of the individual chiral isomers. As the method is very efficient and fast combined with advantageous in view of ecology it is of big industrial interest.