  The features of the concurrences of the nearest-neighbor and the
next-nearest-neighbor sites for one-dimensional Heisenberg model with the
next-nearest-neighbor interaction are studied both at the ground state and
finite temperatures respectively. Both concurrences are found to exhibit
different behaviors at the ground state, which is clarified from the point of
view of the correlation function. The threshold temperature with respective to
different number of sites and the thermal concurrences of the system up to 12
sites are studied numerically.
