  Innovative synthetic approaches can yield new phases containing novel
structural and magnetic motifs. In this work, we show the synthesis and
magnetic characterization of three new and one previously reported layered
phase in the K-Cu-Te-O(H) phase space using a tunable hydroflux technique. The
hydroflux, with a roughly equal molar ratio of water and alkali hydroxide, is a
highly oxidizing, low melting solvent which can be used to isolate metastable
phases unattainable through traditional solid state or flux techniques. The
newly synthesized phases, K$_{2}$Cu$_{2}$TeO$_{6}$, K$_{2}$Cu$_{2}$TeO$_{6}$
$\cdot$ H$_{2}$O, and K$_{6}$Cu$_{9}$Te$_{4}$O$_{24}$ $\cdot$ 2 H$_{2}$O,
contain Cu$^{2+}$ within CuO$_{4}$ square planar plaquettes and TeO$_{6}$
octahedra ordering to form structural honeycomb layers isolated by interlayer
K$^{+}$ ions and H$_{2}$O molecules. We find the synthesized structures display
varying tilt sequences of the CuO$_{4}$ plaquettes, leading to distinct
Cu$^{2+}$ magnetic motifs on the structural honeycomb lattice and a range of
effective magnetic dimensionalities. We find that K$_{2}$Cu$_{2}$TeO$_{6}$
$\cdot$ H$_{2}$O does not order and displays alternating chain Heisenberg
antiferromagnetic (AFM) behavior, while K$_{2}$Cu$_{2}$TeO$_{6}$ and
K$_{6}$Cu$_{9}$Te$_{4}$O$_{24}$ $\cdot$ 2 H$_{2}$O order antiferromagnetically
(T$_{N}$ = 100 K and T$_{N}$ = 6.5 K respectively). The previously known phase,
K$_{2}$CuTeO$_{4}$(OH)$_{2}$ $\cdot$ H$_{2}$O, we find contains structurally
and magnetically one-dimensional CuO$_{4}$ plaquettes leading to uniform chain
Heisenberg AFM behavior and shows no magnetic order down to T = 0.4 K. We
discuss and highlight the usefulness of the hydroflux technique in novel
syntheses and the interesting magnetic motifs that arise in these particular
phases.
