The irreversibility lines H(irr)(T) for the series of superconducting
compounds Tl(m)A2Ca(n-1)Cu(n)O2+m+2n, where A is Ba or Sr, are measure
d between 0 and 1 T for m = 1 and 2 and n = 1, 2, 3 and 4 and show a m
arked steepening with decreasing anisotropy, i.e. as m is lowered from
2 to 1. In addition, for m = 2 material H(irr)(T) is observed to stee
pen with decreasing number of CuO2 layers. The hole dependence of the
irreversibility line is also investigated in Tl2Ba2CuO6+delta by chang
ing the oxygen stoichiometry delta. H(irr)(T) progressively steepens w
ith increasing hole concentration on the overdoped side of T(c)(max).
These results are consistent with a model of flux motion arising from
a cross-over from 3D vortex lines to 2D pancake vortices which are dec
oupled in the c-direction, and provide guidance for materials selectio
n and optimum doping. The manufacture of superconducting, silver-clad
tapes using Tl0.5Pb0.5Sr2Ca0.8Y0.2Cu2O7 is described. Zero field trans
port critical currents in excess of 10(4) A cm-2 are obtained but the
material is untextured and weak-linked, as shown by the strong field d
ependence of J(c).