Liquid-crystal medium, characterised in that it comprises - one or more compounds of the formula I in which R 1 denotes alkyl, alkoxy, fluorinated alkyl or fluorinated alkoxy having 1 to 7 C atoms, alkenyl, alkenyloxy, alkoxyalkyl or fluorinated alkenyl having 2 to 7 C atoms, L 11 denotes H, and L 12 and L 13, independently of one another, denote H or F, or L 11 denotes F, L 12 denotes F and L 13 denotes H or F, and X 1 denotes F, Cl, -CFH 2, -CF 2 H, -CF 3, -OCF 2 H or -OCF 3, - one or more compounds of the formula II and - one or more compounds of the formula III in which R 2 and R 3, independently of one another, denote alkyl, alkoxy, fluorinated alkyl or fluorinated alkoxy having 1 to 7 C atoms, alkenyl, alkenyloxy, alkoxyalkyl or fluorinated alkenyl having 2 to 7 C atoms, on each appearance, independently of one another, denote L 21, L 22, L 31 and L 32, independently of one another, denote H or F, X 2 and X 3, independently of one another, denote halogen, halogenated alkyl or alkoxy having 1 to 3 C atoms or halo-genated alkenyl or alkenyloxy having 2 or 3 C atoms, Z 3 denotes -CH 2 CH 2 -, -CF 2 CF 2 -, -COO-, trans -CH=CH-, trans -CF=CF-, -CH 2 O- or a single bond, and m and n, independently of one another, denote 0, 1, 2 or 3, - and in that the one or more compounds of the formula III are or include one or more of the compounds selected from the group of the compounds of the formulae III-2d-1 and III-2e-1 in which the parameters have the meanings indicated above and where the compounds of the formula I according to Claim 1 are excluded from the compounds of the formula II. - one or more compounds of the formula I in which R 1 denotes alkyl, alkoxy, fluorinated alkyl or fluorinated alkoxy having 1 to 7 C atoms, alkenyl, alkenyloxy, alkoxyalkyl or fluorinated alkenyl having 2 to 7 C atoms, L 11 denotes H, and L 12 and L 13, independently of one another, denote H or F, or L 11 denotes F, L 12 denotes F and L 13 denotes H or F, and X 1 denotes F, Cl, -CFH 2, -CF 2 H, -CF 3, -OCF 2 H or -OCF 3, R 1 denotes alkyl, alkoxy, fluorinated alkyl or fluorinated alkoxy having 1 to 7 C atoms, alkenyl, alkenyloxy, alkoxyalkyl or fluorinated alkenyl having 2 to 7 C atoms, L 11 denotes H, and L 12 and L 13, independently of one another, denote H or F, or L 11 denotes F, L 12 denotes F and L 13 denotes H or F, and X 1 denotes F, Cl, -CFH 2, -CF 2 H, -CF 3, -OCF 2 H or -OCF 3, - one or more compounds of the formula II and - one or more compounds of the formula III in which R 2 and R 3, independently of one another, denote alkyl, alkoxy, fluorinated alkyl or fluorinated alkoxy having 1 to 7 C atoms, alkenyl, alkenyloxy, alkoxyalkyl or fluorinated alkenyl having 2 to 7 C atoms, on each appearance, independently of one another, denote L 21, L 22, L 31 and L 32, independently of one another, denote H or F, X 2 and X 3, independently of one another, denote halogen, halogenated alkyl or alkoxy having 1 to 3 C atoms or halo-genated alkenyl or alkenyloxy having 2 or 3 C atoms, Z 3 denotes -CH 2 CH 2 -, -CF 2 CF 2 -, -COO-, trans -CH=CH-, trans -CF=CF-, -CH 2 O- or a single bond, and m and n, independently of one another, denote 0, 1, 2 or 3, R 2 and R 3, independently of one another, denote alkyl, alkoxy, fluorinated alkyl or fluorinated alkoxy having 1 to 7 C atoms, alkenyl, alkenyloxy, alkoxyalkyl or fluorinated alkenyl having 2 to 7 C atoms, on each appearance, independently of one another, denote L 21, L 22, L 31 and L 32, independently of one another, denote H or F, X 2 and X 3, independently of one another, denote halogen, halogenated alkyl or alkoxy having 1 to 3 C atoms or halo-genated alkenyl or alkenyloxy having 2 or 3 C atoms, Z 3 denotes -CH 2 CH 2 -, -CF 2 CF 2 -, -COO-, trans -CH=CH-, trans -CF=CF-, -CH 2 O- or a single bond, and m and n, independently of one another, denote 0, 1, 2 or 3, - and in that the one or more compounds of the formula III are or include one or more of the compounds selected from the group of the compounds of the formulae III-2d-1 and III-2e-1 in which the parameters have the meanings indicated above and where the compounds of the formula I according to Claim 1 are excluded from the compounds of the formula II.