Nanoporous graphene has the potential
to advance membrane separations
by offering high selectivity with minimal resistance to flow, but
how mass transport depends on the structure of pores in this atomically
thin membrane is poorly understood. Here, we investigate the relationship
between tunable pore creation using ion bombardment and oxygen plasma
etching, the resulting pore size distributions, and the consequent
water and solute transport. Through tuning of the pore creation process,
we demonstrate nanofiltration membranes that reject small molecules
but offer high permeance to water or monovalent ions. Theoretical
multiscale modeling of transport across the membranes reveals a disproportionate
contribution of large pores to osmotic water flux and diffusive solute
transport and captures the observed trends in transport measurements
except for the smallest pores. This work provides insights into the
effects of graphene pore size distribution and support layer on transport
and presents a framework for designing atomically thin membranes.