The invention relates to a method of separating the components of a mixture. The inventive method is characterised in that it comprises the following steps: (a) the bringing into contact of the components of a mixture selected from (i) at least two hydrocarbons, (ii) a mixture containing at least nitrogen and oxygen, and (iii) at least one hydrocarbon and water, with an ITQ-29 zeolite material having a T(IV)/T(III) ratio of greater than 7, whereby T(IV) denotes one or more tetravalent elements and T(III) denotes one or more trivalent elements; (b) preferential adsorption of one or more of the components by the ITQ-29 zeolite material and (c) recovery of one or more of the components, preferably for the separation of hydrocarbon mixtures, such as linear or branched olefins from paraffins.