  We report detailed measurements of the de Haas-van Alphen (dHvA) effect in
BaFe_2P_2 which is the end member of the superconducting series,
BaFe_2(As_{1-x}P_x)_2. Using high purity samples we are able to observe dHvA
oscillations from all the sheets of Fermi surface and hence build up a complete
detailed picture of its structure. The results show the existence of a highly
warped section of hole surface which may be the origin of the nodal gap
structure in this series. Importantly, we find that, even for this
non-superconducting end member, one of the hole surfaces almost exactly nests
with the inner electron surface. This suggests that improved geometric nesting
does not drive the increase in pairing strength with decreasing x in this
system.
