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Most of the work involving entanglement measurement focuses on systems thatcan be modeled by two interacting qubits. This is due to the fact that thereare few studies presenting entanglement analytical calculations in systems withspins $s > 1/2$. In this paper we present for the first time an analytical wayof calculating thermal entanglement in a dimension $2\otimes3$ Heisenberg chainthrough the distance between states. We use the Hilbert-Schmidt norm to obtainentanglement. The result obtained can be used to calculate entanglement inchains with spin-$1/2$ coupling with spin-$1$, such as ferrimagnetic compoundsas well as compounds with dimer-trimer coupling.

Thermal entanglement in $2\otimes3$ Heisenberg chains via distance between states