''Fear of Frying''

Published in 2006, some thirty years after the last Apollo mission-
''The primary threat to astronauts from space radiation is high-energy charged particles, such as electrons, protons, alpha and heavier particles, originating from galactic cosmic radiation (GCR), solar particle events (SPEs) and trapped radiation belts in Earth orbit. There is also the added threat of secondary neutrons generated as the space radiation interacts with atmosphere, soil and structural materials.[1] For Lunar exploration missions, the habitats and transfer vehicles are expected to provide shielding from standard background radiation. Unfortunately, the Lunar Extravehicular Activity (EVA) suit is not expected to afford such shielding.'' 
Oh well.

Active Solid State Dosimetry for Lunar EVA, NASA 2006

https://archive.org/details/nasa_techdoc_20060013413