The invention relates to the use of n-hexadecyl n-nonanoate (CAS number 72934-15-7, hereafter cetyl nonanoate) and n-octadecyl n-nonanoate (CAS number 107647-13-2, hereafter stearyl nonanoate) and to the mixtures thereof (CAS number 878027-13-5) as fixatives for fragrance substances. The invention also relates to specific compositions comprising (A) cetyl nonanoate and/or stearyl nonanoate as well as (B) one or more fragrance substances. The invention also relates to a process for the preparation of such compositions as well as to (cosmetic) products comprising a composition according to the invention. The invention further relates to a process for imparting, intensifying or modifying an odor on (human) skin. A particular aspect of the present invention relates to the improvement in the adhesive strength of a composition according to the invention on (human) skin and/or (human) hair.