On the basis of new radiobiological findings, the ICRP has recently revised the LET dependence of the quality factor Q(LET) for charged particles. In consequence, many in-phantom defined radiation protection quantities have to be re-evaluated. Among these, the most important operational quantity in radiation protection is the ambient dose equivalent h(*)(10). This study deals with the calculation of h(*)(10), as defined at a depth of 10 mm in the ICRU sphere for a broad parallel neutron beam. Additionally, the ratio of ambient dose equivalent to ambient dose, the effective quality factor q(*)(eff) as function of neutron energy, is derived.