Linear magnetoelastic coupling and magnetic phase diagrams of the buckled-kagomé antiferromagnet $$\hbox {Cu}_3\hbox {Bi}{(\hbox {SeO}_3)_2}\hbox {O}_2\hbox {Cl}$$

Single crystals of Cu[Formula: see text]Bi(SeO[Formula: see text])[Formula: see text]O[Formula: see text]Cl were investigated using high-resolution capacitance dilatometry in magnetic fields up to 15 T. Pronounced magnetoelastic coupling is found upon evolution of long-range antiferromagnetic order at [Formula: see text] [Formula: see text] K. Grüneisen analysis reveals moderate effects of uniaxial pressure on [Formula: see text], of 1.8(4) K/GPa, [Formula: see text] K/GPa and 0.33(10) K/GPa for [Formula: see text], b, and c, respectively. Below 22 K Grüneisen scaling fails which implies the presence of competing interactions. The structural phase transition at [Formula: see text] [Formula: see text] K is much more sensitive to uniaxial pressure than [Formula: see text], with strong effects of up to 27(3) K/GPa ([Formula: see text]). Magnetostriction and magnetization measurements reveal a linear magnetoelastic coupling for [Formula: see text] below [Formula: see text], as well as a mixed phase behavior above the tricritical point around 0.4 T. An analysis of the critical behavior in zero-field points to three-dimensional (3D) Ising-like magnetic ordering. In addition, the magnetic phase diagrams for fields along the main crystalline axes are reported.