Experimental values of the thermal conductivity lambda and thermal diffusivity kappa of sixteen pure branched alkanes (CnH(2n+2); n = 6 to 8) are presented in the temperature range -15 degreesC to 70 degreesC under atmospheric or saturation pressure. Measurements were made with the transient hot-wire method, and in the analysis, the temperatures T-lambda and T-kappa (associated with both lambda and kappa) were used. The thermal diffusivity values are corrected by the factors k(f) (=1.0076 to 0.9892), which are determined by reference to the heat capacity (at 298.15 K) of heptane as a reference material, for data sets obtained with different configurations of the experiments. Heat capacities [volumic, c(p)p; specific, c(p); and molar, C-m,C-p] are derived from the relationship c(p)p = lambda/kappa, with values for the density and the molar mass. The relevance of these thermal properties to the boiling point, density, molar density, and velocity-of-sound is examined, together with the results of normal alkanes (n = 6 to 8) and isopentane. The uncertainty of the data is estimated to be 0.4% for the thermal conductivity (absolutely measured) and about 1.8% for the thermal diffusivity (with a coverage factor k(p) = 2; p = 95%), although that of lambda (not for kappa) is possibly inferior for a few substances containing a little larger impurity (i.e. mainly other isomers).