TECHNOLOGY FOCUS - INORGANIC CHEMISTRY - Preferred Components: (II) and (III) are heterogeneous catalysts. (III) is Schrock catalyst, molybdenum catalyst, tungsten oxide catalyst and/or rhenium oxide catalyst. (I) is linear.    TECHNOLOGY FOCUS - ORGANIC CHEMISTRY - Preferred Process: (C) is produced at a ratio of linear alkanes to branched alkanes of at least 500:1. (II) is immobilized on a solid support, where the reaction is carried out in a solvent, and the method further comprises separating free (II) from the solvent. The reaction is carried out in the presence of a hydrogen acceptor, where the molar ratio of the hydrogen acceptor to (II) is not greater than 10:1. (I) is produced by: converting synthesis gas to (I) by Fischer-Tropsch catalysis. The method further comprises: providing at least a portion of (C) to a liquid hydrocarbon fuel synthesis process to produce liquid hydrocarbon fuel; providing at least a portion of (C) to a gasoline synthesis process to produce gasoline; and providing at least a portion of (C) to a diesel fuel synthesis process to produce diesel fuel. Preferred Composition: In the composition, (II) and (III) are immobilized on the same or different solid support. Preferred Components: In the method-1, the low molecular weight alkane comprises a compound having a structure of formula CnH2n+2, where n is 3-10; and the high molecular weight alkane comprises a compound having a structure of formula CmH2m+2, where m is 4-40. In the method-2 of making a liquid hydrocarbon fuel from a synthesis gas by the Fischer Tropsch reaction, where: the fuel comprises (C); at least a portion of the product of the Fischer Tropsch reaction comprises a wax; and the wax is of still higher molecular weight than the high molecular weight alkane, the improvement comprises: converting at least a portion of the wax to (C) by reacting the wax in the presence of the dual catalyst system to produce (C). In the method-2, the higher molecular weight alkane comprises a compound having a structure of formula CmH2m+2, where m is 4-40; and the wax comprises a compound having structure of formula CpH2p+2 where p is 18-200. EXAMPLE - (4-OK-C6H2-2,6-(OP(tert-butyl)2)2)Ir(C2H4) (1.7 mg) and cyclooctane (850 mg) were weighed into flask under an argon atmosphere, and the solution stirred until all solids dissolved. 7-Alumina (280 mg, previously calcined at 550 degrees C) was weighed into the flask, and the suspension stirred. When the solution became colorless, tert-butyl ethylene (638 mg) was weighed into the flask. The flask was sealed tightly, and the suspension stirred in a 200 degrees C oil bath. Periodically, the flask was removed from the oil bath and cooled; an aliquot was removed from the flask, and analyzed. After 2398 minutes, the catalyst was filtered and washed with cyclooctane (1.5 ml) four times. Fresh cyclooctane (850 mg) and tert-butyl ethylene (638 mg) was added into a flask, which contained the recycled catalyst, and the suspension stirred in a 200 degrees C oil bath. Periodically, the flask was removed from the oil bath and cooled; an aliquot was removed from the flask, and analyzed. After another 2398 minutes, the catalyst was recycled again for a new transfer dehydrogenation reaction. Besides the formation of 2,2'-dimethyl-butane through the hydrogen transfer reaction, 2,3-dimethyl-2-butene and 2,3-dimethyl-1-butene were observed as the isomerization products of tert-butyl ethylene.