Compounds of the general formula in which R 1 represents hydrogen, optionally substituted alkyl, alkenyl, alkynyl, cycloalkyl, cycloalkylalkyl, alkylcarbonyl, alkoxycarbonyl, arylalkyl, heteroarylalkyl, the chemical moieties A 1 represents CR 2 or nitrogen, A 2 represents CR 3 or nitrogen, A 3 represents CR 4 or nitrogen, and A 4 represents CR 5 or nitrogen, but where not more than three of the chemical moieties A 1 to A 4 simultaneously represent nitrogen; R 2, R 3, R 4 and R 5 independently of one another represent hydrogen, halogen, cyano, nitro, optionally substituted alkyl, cycloalkyl, alkoxy, N -alkoxyiminoalkyl, alkylsulphanyl, alkylsulphinyl, alkylsulphonyl, N -alkylamino or N,N -dialkylamino; if neither of the A 2 and A 3 moieties is nitrogen, R 3 and R 4 together with the carbon atom to which they are bonded may form a 5- or 6-membered ring containing 0, 1 or 2 nitrogen atoms and/or 0 or 1 oxygen atom and/or 0 or 1 sulphur atom, or if neither of the A 1 and A 2 moieties is nitrogen, R 2 and R 3 together with the carbon atom to which they are bonded may form a 6-membered ring containing 0, 1 or 2 nitrogen atoms; W represents oxygen or sulphur; Q represents hydrogen, formyl, hydroxy, amino or one of the optionally substituted moieties alkyl, alkyloxy, alkenyl, alkynyl, cycloalkyl, heterocycloalkyl, cycloalkylalkyl, heterocycloalkylalkyl, arylalkyl, heteroarylalkyl or represents a moiety N -alkylamino, N -alkylcarbonylamino, N,N- dialkylamino; or Q represents a mono- to polyunsaturated 5- to 6-membered carbocycle which may optionally be interrupted by heteroatoms and is optionally mono- to polysubstituted by V, where V represents halogen, cyano, nitro, optionally substituted alkyl, alkenyl, alkynyl, cycloalkyl, alkoxy, N-alkoxyiminoalkyl, alkylsulphanyl, alkylsulphinyl, alkylsulphonyl, N,N-dialkylamino; T represents one of the 5-membered heteroaromatic systems T1-T35 shown below, where the bond to the pyrazolyl head group is indicated by an asterisk, where R 6 independently of one another represent halogen, cyano, nitro, amino or optionally substituted alkyl, alkyloxy, alkylcarbonyl, alkylsulphanyl, alkylsulphinyl, alkylsulphonyl, and n represents the values 0-2; R 7 represents hydrogen, or optionally substituted alkyl or cycloalkyl in which optionally one methylene group is substituted by a heteroatom; Z 1 represents optionally substituted haloalkyl or halocycloalkyl, and Z 2 represents hydrogen, halogen, cyano, nitro, amino or optionally substituted alkyl, alkylcarbonyl, alkylsulphanyl, alkylsulphinyl, alkylsulphonyl, and Z 3 represents hydrogen or optionally substituted alkyl, cycloalkyl, heterocycloalkyl, alkenyl, alkynyl, where if T is T23 or T24, one of the radicals Z 1, Z 2 or Z 3 is substituted by at least 3 halogen atoms. R 1 represents hydrogen, optionally substituted alkyl, alkenyl, alkynyl, cycloalkyl, cycloalkylalkyl, alkylcarbonyl, alkoxycarbonyl, arylalkyl, heteroarylalkyl, A 1 represents CR 2 or nitrogen, A 2 represents CR 3 or nitrogen, A 3 represents CR 4 or nitrogen, and A 4 represents CR 5 or nitrogen, but where not more than three of the chemical moieties A 1 to A 4 simultaneously represent nitrogen; R 2, R 3, R 4 and R 5 independently of one another represent hydrogen, halogen, cyano, nitro, optionally substituted alkyl, cycloalkyl, alkoxy, N -alkoxyiminoalkyl, alkylsulphanyl, alkylsulphinyl, alkylsulphonyl, N -alkylamino or N,N -dialkylamino; if neither of the A 2 and A 3 moieties is nitrogen, R 3 and R 4 together with the carbon atom to which they are bonded may form a 5- or 6-membered ring containing 0, 1 or 2 nitrogen atoms and/or 0 or 1 oxygen atom and/or 0 or 1 sulphur atom, or if neither of the A 1 and A 2 moieties is nitrogen, R 2 and R 3 together with the carbon atom to which they are bonded may form a 6-membered ring containing 0, 1 or 2 nitrogen atoms; W represents oxygen or sulphur; Q represents hydrogen, formyl, hydroxy, amino or one of the optionally substituted moieties alkyl, alkyloxy, alkenyl, alkynyl, cycloalkyl, heterocycloalkyl, cycloalkylalkyl, heterocycloalkylalkyl, arylalkyl, heteroarylalkyl or represents a moiety N -alkylamino, N -alkylcarbonylamino, N,N- dialkylamino; or Q represents a mono- to polyunsaturated 5- to 6-membered carbocycle which may optionally be interrupted by heteroatoms and is optionally mono- to polysubstituted by V, where V represents halogen, cyano, nitro, optionally substituted alkyl, alkenyl, alkynyl, cycloalkyl, alkoxy, N-alkoxyiminoalkyl, alkylsulphanyl, alkylsulphinyl, alkylsulphonyl, N,N-dialkylamino; T represents one of the 5-membered heteroaromatic systems T1-T35 shown below, where the bond to the pyrazolyl head group is indicated by an asterisk, R 6 independently of one another represent halogen, cyano, nitro, amino or optionally substituted alkyl, alkyloxy, alkylcarbonyl, alkylsulphanyl, alkylsulphinyl, alkylsulphonyl, and n represents the values 0-2; R 7 represents hydrogen, or optionally substituted alkyl or cycloalkyl in which optionally one methylene group is substituted by a heteroatom; Z 1 represents optionally substituted haloalkyl or halocycloalkyl, and Z 2 represents hydrogen, halogen, cyano, nitro, amino or optionally substituted alkyl, alkylcarbonyl, alkylsulphanyl, alkylsulphinyl, alkylsulphonyl, and Z 3 represents hydrogen or optionally substituted alkyl, cycloalkyl, heterocycloalkyl, alkenyl, alkynyl, where if T is T23 or T24, one of the radicals Z 1, Z 2 or Z 3 is substituted by at least 3 halogen atoms.