Large-scale simulations are performed for a quantum model of CsNiF3, c
hoosing the competing sets of microscopic parameters known in literatu
re. Both quantum transfer matrix and the finite-chain diagonalization
techniques are applied. High resolution data are obtained from a finit
e-size analysis of the simulation results and are compared with the av
ailable static measurements, revealing the best agreement for the valu
es J/k(B) = 20.5 K and A/J = 0.425. In addition, the validity of a the
oretical self-consistent harmonic approximation approach is confirmed
and a zero-field specific heat experiment, crucial to resolve some rem
aining ambiguity, is suggested.