In the manganite Nd0.5Ca0.5MnO3, charge ordering occurs at a much higher te
mperature than the antiferromagnetic order (T-CO=250 K, T-N=160 K). The mag
netic behavior of the phase T-N<T<T-CO is puzzling: its magnetization and s
usceptibility are typical of an antiferromagnet while no magnetic order is
detected by neutron diffraction. We have undertaken an extensive study of t
he crystallographic, electric, and magnetic properties of Nd0.5Ca0.5MnO3 an
d established its phase diagram as a function of temperature and magnetic f
ield. The charge disordered paramagnetic phase above T-CO presents ferromag
netic correlations. An antiferromagnetic charge exchange phase prevails bel
ow T-N, With complete charge and orbital ordering. In the inter mediate tem
perature range, charge ordering occurs while orbital ordering sets in progr
essively, with no magnetic order. Strong magnetic fields destroy the charge
ordered phases in a first-order transition towards a ferromagnetic state.