Synthesis and basic characterization of the itinerant ferromagnet Cr$_{11}$Ge$_{19}$

Cr$_{11}$Ge$_{19}$ is a member of the tetragonal, but structurally complex family of materials known as Nowotny chimney-ladder phases.~These materials have composition T$_{n}$X$_{m}$~where 2$>m$/$n>$1.25 (T=transition~element, X=Si, Ge, Sn or Ga). Although Cr$_{11}$Ge$_{19}$~was reported to be an itinerant ferromagnet, its basic properties have not been well characterized. Here we present resistivity, magnetization, and heat capacity results on polycrystalline Cr$_{11}$Ge$_{19}$ .