Systems with antiferromagnetic ordering that is driven predominantly by dipolar interactions are very rare, as the dipolar interaction is inherently weak compared to the exchange interactions that are usually very much stronger. The single molecule magnet system Fe19 however provides a very good example of such a dipolar-driven antiferromagnet with a transition temperature of 1.2 K. This relatively high transition temperature for such a system makes it particularly suitable for detailed studies of critical properties of the dipolar ordering. Further favourable properties of Fe19 relate to its ¿dipolar bias¿ that helps it to avoid spin freezing into a non-equilibrium state that can be a problem for other single molecule magnets. This neutron proposal builds on our previous muSR and Monte Carlo studies and aims to confirm the details of the magnetic ordering and test its criticality.