To overcome inherent limitations of the Voxel-type Reference Computational Phantoms (VRCPs) due to the limited voxel resolutions and the nature of voxel geometry, the International Commission on Radiological Protection (ICRP) has developed the adult male and female Mesh-type Reference Computational Phantoms (MRCPs). We previously used the MRCPs to calculate a complete set of dose coefficients (DCs) for idealized external exposures of photons and electrons (Yeom et al. NET in press). In the present study, we extended the previous study to include additional radiation particles (neutrons, protons, and helium ions) into the DC library by conducing Monte Carlo radiation transport simulations with the Geant4 code. The MRPC-based DCs were compared with the existing reference DCs of ICRP Publication 116 which are based on the ICRP VRCPs to investigate impact of the new mesh-type reference phantoms on the DC values. We found that the MRCPs generally provide DCs of organ/tissue doses and effective doses similar to those from the VRCPs for penetrating radiations (uncharged particles), whereas significant DC differences were observed for weakly penetrating radiations (charged particles) mainly due to the improved representation of the detailed anatomical structures in the MRCPs over the VRCPs.