  The pairwise entanglement is exactly examined in the spin-1/2
Ising-Heisenberg double-tetrahedral chain with different Land\'e g-factors of
the Ising and Heisenberg spins at zero and finite temperatures. It is shown
that the phenomenon present in quantum non-chiral ground states is twice as
strong as in quantum chiral ground states and that it gradually diminishes with
increasing temperature until it completely vanishes at a certain threshold
temperature. It is also demonstrated that the strong magnetic field maintains a
weak thermal entanglement quite far from the saturation field, although the
ground state is non-entangled.
