Problems in the Study of the Historical-Geographic Environment

Quantum phase transition in the dioptase magnetic lattice

“…The gem-stone dioptase Cu 6 Si 6 O 18 •6H 2 O is a transparent green mineral build up from Si 6 O 18 single rings on a lattice, which sandwiches six-membered water rings down the (crystallographic) c-direction [2][3][4]. The magnetic Cu(II) ions are located between the Si 6 O 18 rings and form chiral chains along c, placed on an ab-honeycomb net and are there edge-sharing connected forming Cu(II) dimers.…”