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We present the high-temperature expansion up to 11th order for the specificheat $C$ and the uniform susceptibility $\chi_0$ and up to 9th order for thestructure factor $S_{\bf Q}$ of the frustrated spin-half $J_1$-$J_2$ Heisenbergmodel on the BCC lattice. We consider ferromagnetic as well asantiferromagnetic nearest-neighbor exchange $J_1$ and frustratingantiferromagnetic next-nearest-neighbor exchange $J_2$. We discuss theinfluence of frustration on the temperature dependence of these quantities.Furthermore, we use the HTE series to determine the critical temperature $T_c$as a function of the frustration parameter $J_2$.

High-temperature expansion for frustrated magnets: Application to the J1-J2 model on the BCC lattice