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We present a systematic study of the structural and magnetic properties oftwo branches of the rare earth Tripod Kagome Lattice (TKL) familyA$_{2}$RE$_{3}$Sb$_{3}$O$_{14}$ (A = Mg, Zn; RE = Pr, Nd, Gd, Tb, Dy, Ho, Er,Yb; here, we use abbreviation \textit{A-RE}, as in \textit{MgPr} forMg$_{2}$Pr$_{3}$Sb$_{3}$O$_{14}$), which complements our previously reportedwork on \textit{MgDy}, \textit{MgGd}, and \textit{MgEr} \cite{TKL}. The presentsusceptibility ($\chi_{dc}$, $\chi_{ac}$) and specific heat measurements revealvarious magnetic ground states, including the non-magnetic singlet state for\textit{MgPr}, \textit{ZnPr}; long range orderings (LROs) for \textit{MgGd},\textit{ZnGd}, \textit{MgNd}, \textit{ZnNd}, and \textit{MgYb}; a long rangemagnetic charge ordered state for \textit{MgDy}, \textit{ZnDy}, and potentiallyfor \textit{MgHo}; possible spin glass states for \textit{ZnEr}, \textit{ZnHo};the absence of spin ordering down to 80 mK for \textit{MgEr}, \textit{MgTb},\textit{ZnTb}, and \textit{ZnYb} compounds. The ground states observed herebear both similarities as well as striking differences from the states found inthe parent pyrochlore systems. In particular, while the TKLs display a greatertendency towards LRO, the lack of LRO in \textit{MgHo}, \textit{MgTb} and\textit{ZnTb} can be viewed from the standpoint of a balance among spin-spininteractions, anisotropies and non-Kramers nature of single ion state. Whilesubstituting Zn for Mg changes the chemical pressure, and subtly modifies theinteraction energies for compounds with larger RE ions, this substitutionintroduces structural disorder and modifies the ground states for compoundswith smaller RE ions (Ho, Er, Yb).

physical review. b./physical review. b

Structural and magnetic properties of two branches of the Tripod Kagome  Lattice family A$_{2}$RE$_{3}$Sb$_{3}$O$_{14}$ (A = Mg, Zn; RE = Pr, Nd, Gd,  Tb, Dy, Ho, Er, Yb)