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Pulsed-field magnetization experiments (fields $B$ of up to 85 T andtemperatures $T$ down to 0.4 K) are reported on nine organic Cu-basedtwo-dimensional (2D) Heisenberg magnets. All compounds show a low-$T$magnetization that is concave as a function of $B$, with a sharp ``elbow''transition to a constant value at a field $B_{\rm c}$. Monte-Carlo simulationsincluding a finite interlayer exchange energy $J_{\perp}$ quantitativelyreproduce the data; the concavity indicates the effective dimensionality and$B_{\rm c}$ is an accurate measure of the in-plane exchange energy $J$. Usingthese values and Ne\'el temperatures measured by muon-spin rotation, it is alsopossible to obtain a quantitative estimate of $|J_{\perp}/J|$. In the light ofthese results, it is suggested that in magnets of the form[Cu(HF$_2$)(pyz)$_2$]X, where X is an anion, the sizes of $J$ and $J_{\perp}$are controlled by the tilting of the pyrazine (pyz) molecule with respect tothe 2D planes.

Exchange parameters of copper-based quasi-two-dimensional Heisenberg magnets measured using high magnetic fields and muon-spin rotation