Knudsen Diffusion in Silicon Nanochannels
arXiv:0802.1852 · doi:10.1103/PhysRevLett.100.064502
Abstract
Measurements on helium and argon gas flow through an array of parallel, linear channels of 12 nm diameter and 200 micrometer length in a single crystalline silicon membrane reveal a Knudsen diffusion type transport from 10^2 to 10^7 in Knudsen number Kn. The classic scaling prediction for the transport diffusion coefficient on temperature and mass of diffusing species,D_He ~ sqrt(T), is confirmed over a T range from 40 K to 300 K for He and for the ratio of D_He/D_Ar ~ sqrt(m_Ar/m_He). Deviations of the channels from a cylindrical form, resolved with transmission electron microscopy down to subnanometer scales, quantitatively account for a reduced diffusivity as compared to Knudsen diffusion in ideal tubular channels. The membrane permeation experiments are described over 10 orders of magnitude in Kn, encompassing the transition flow regime, by the unified flow model of Beskok and Karniadakis.
4 pages, 3 figures
References in corpus (1)
Cited by in corpus (25)
- Nanoscale simulation of shale transport properties using the lattice Boltzmann method: permeability and diffusivity
- Soft matter in hard confinement: phase transition thermodynamics, structure, texture, diffusion and flow in nanoporous media - topical review
- Continuous Paranematic-to-Nematic Ordering Transitions of Liquid Crystals in Tubular Silica Nanochannels
- Capillary rise dynamics of liquid hydrocarbons in mesoporous silica as explored by gravimetry, optical and neutron imaging: Nano-rheology and determination of pore size distributions from the shape of imbibition fronts
- Gas damping force noise on a macroscopic test body in an infinite gas reservoir
- Hydraulic Transport Across Hydrophilic and Hydrophobic Nanopores: Flow Experiments with Water and n-Hexane
- Quantized Self-Assembly of Discotic Rings in a Liquid Crystal Confined in Nanopores
- Laser-Excited Elastic Guided Waves Reveal the Complex Mechanics of Nanoporous Silicon
- Phase transitions and molecular dynamics of n-hexadecanol confined in silicon nanochannels
- Silicon Flexes Muscles: Giant Electrochemical Actuation in a Nanoporous Silicon-Polypyrrole Hybrid Material
- Capillarity-Driven Oil Flow in Nanopores: Darcy Scale Analysis of Lucas-Washburn Imbibition Dynamics
- Thermotropic Orientational Order of Discotic Liquid Crystals in Nanochannels: An Optical Polarimetry Study and a Landau-de Gennes Analysis
- Criticality of an isotropic-to-smectic transition induced by anisotropic quenched disorder
- Molecular dynamics of n-hexane: A quasi-elastic neutron scattering study on the bulk and spatially nanochannel-confined liquid
- Flow Conductance of a Single Nanohole
- Liquid n-hexane condensed in silica nanochannels: A combined optical birefringence and vapor sorption isotherm study
- Thermotropic nematic order upon nano-capillary filling
- Capillary Condensation, Freezing, and Melting in Silica Nanopores: A Sorption Isotherm and Scanning Calorimetry Study on Nitrogen in Mesoporous SBA-15
- Diverging time scale in the dimensional crossover for liquids in strong confinement
- Wafer-Scale Electroactive Nanoporous Silicon: Large and Fully Reversible Electrochemo-Mechanical Actuation in Aqueous Electrolytes
- Orientational Order in Liquids upon Condensation in Nanochannels: An Optical Birefringence Study on Rodlike and Disclike Molecules in Monolithic Mesoporous Silica
- On the influence of reflective boundary conditions on the statistics of Poisson-Kac diffusion processes
- How nanoporous silicon-polypyrrole hybrids flex their muscles in aqueous electrolytes: In operando high-resolution x-ray diffraction and electron tomography-based micromechanical computer simulations
- Knudsen-to-Hydrodynamic Crossover in Liquid 3He in a High-Porosity Aerogel
- Noise and fluctuations in nanoscale gas flow