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Single crystals of $R$Mg$_{2}$Cu$_{9}$ ($R$=Y, Ce-Nd, Gd-Dy, Yb) were grownusing a high-temperature solution growth technique and were characterized bymeasurements of room-temperature x-ray diffraction, temperature-dependentspecific heat and temperature-, field-dependent resistivity and anisotropicmagnetization. YMg$_{2}$Cu$_{9}$ is a non-local-moment-bearing metal with anelectronic specific heat coefficient, $\gamma \sim$ 15 mJ/mol K$^2$. Yb isdivalent and basically non-moment bearing in YbMg$_{2}$Cu$_{9}$. Ce istrivalent in CeMg$_{2}$Cu$_{9}$ with two magnetic transitions being observed at2.1 K and 1.5 K. PrMg$_{2}$Cu$_{9}$ does not exhibit any magnetic phasetransition down to 0.5 K. The other members being studied ($R$=Nd, Gd-Dy) allexhibits antiferromagnetic transitions at low-temperatures ranging from 3.2 Kfor NdMg$_{2}$Cu$_{9}$ to 11.9 K for TbMg$_{2}$Cu$_{9}$. WhereasGdMg$_{2}$Cu$_{9}$ is isotropic in its paramagnetic state due to zero angularmomentum ($L$=0), all the other local-moment-bearing members manifest ananisotropic, planar magnetization in their paramagnetic states. To furtherstudy this planar anisotropy, detailed angular-dependent magnetization wascarried out on magnetically diluted (Y$_{0.99}$Tb$_{0.01}$)Mg$_{2}$Cu$_{9}$ and(Y$_{0.99}$Dy$_{0.01}$)Mg$_{2}$Cu$_{9}$. Despite the strong, planarmagnetization anisotropy, the in-plane magnetic anisotropy is weak andfield-dependent. A set of crystal electric field parameters are proposed toexplain the observed magnetic anisotropy.

physical review. b./physical review. b

Physical properties of single crystalline $R$Mg$_{2}$Cu$_{9}$ ($R$ = Y,  Ce-Nd, Gd-Dy, Yb) and the search for in-plane magnetic anisotropy in  hexagonal systems