1.3k likes | 3.57k Views
Mercury Porosimetry Advantages and Limitations. Herbert Giesche New York State College of Ceramics at Alfred University. Outline:. Introduction / Theory The Measurement Technique Tips and Tricks Precision and Accuracy What Information do we get? Hysteresis Pore-Network Models
E N D
Mercury PorosimetryAdvantages and Limitations Herbert Giesche New York State College of Ceramics at Alfred University NYSCC
Outline: • Introduction / Theory • The Measurement Technique • Tips and Tricks • Precision and Accuracy • What Information do we get? • Hysteresis • Pore-Network Models • Alternative Techniques NYSCC
What type or size of pore is measured ? Closed Pores Blind Pores Cross-linked Pores Through Pores In all cases, Hg-Porosimetry measures the largest available access to a pore, the size of the “entrance” towards a pore. Most times this is substantially smaller than the inner pore diameter! NYSCC
Theory Essentially all calculations are based on the assumption of cylinder pores. This is a major assumption !!! NYSCC
What are the basic parameters to be measured ? • Pressure • Intruded volume • Contact angle, θ • Surface tension, γ NYSCC
Pressure • Pressure transducer have to cover the entire measurement range. (> 5 orders of magnitude !) • Use several transducer with overlapping ranges. • Avoid temperature drifts. • Avoid accidental over-range exposure. • Calibrate and check with “Standards” NYSCC
Volume Measurement • The “antique” techniques: Optically Contact wire Resistance wire • Nowadays used in essentially all instruments:Precision capacitance bridge NYSCC
Contact angle (cont.) • Bashforth-Adams tables • Max. Height • Anglometer NYSCC
Contact angle (cont.) • Adjust θ in order to get close to N2-surface area Hg-Porosimetry N2-Adsorption Tungsten powder 0.11 0.10 Iron powder 0.20 0.30 Zinc dust 0.34 0.32 Copper powder 0.34 0.49 Silver iodide 0.48 0.53 Aluminum dust 1.35 1.14 Fluorspar 2.48 2.12 Iron oxide 14.3 13.3 Anatase 15.1 10.3 Graphitized carbon black 15.7 12.3 Boron nitride 19.6 20.0 Hydroxyapatite 55.2 55.0 Carbon black, Spheron-6 107.8 110.0 This assumes a reversible process ! It is strongly effected by small pores, even in minor quantities ! NYSCC
The Instrument NYSCC
Tips and Tricks: Sample Preparation • Sample weight ??? • Heat treatment (?) • Evacuation (final vacuum & time) • Clean surfaces ! • Choice of ‘best’ penetrometer • Filling with mercury (head-pressure) • Use optimum switch-over between‘low’ and ‘high’ pressure port NYSCC
Tips and Tricks (cont.) • Artificial pores due to sample positioningstainless steel wire as sample holder and as ‘separator’ • Space filler to reduce compressibility effects and amount of ‘wasted’ mercury. • Reactive metals (e.g. Zn, Ag, Pb) coated with stearic acidwith Cu a light oxidation might be sufficient • Watch out for compressibility of the sample:especially with highly porous sol-gel or polymer samples. NYSCC
Removing Mercury • Repeat measurements on same sample after removing Hg at > 360°C under vacuum • Collect spilled Hg with Cu-wire brush (activated with HNO3 and dipping in mercury)“Quecksilber Teufel” • Or vacuum suction NYSCC
Precision and Accuracy • < 1 – 2% for “data” in repeat tests • Contact angle uncertainty: • Surface tension value:Impurities can reduce γHg up to 20%Temperature has only a minor effect: 2.1 10-4 N/m °CPressure: γ(N/m) – 2.66 104 ΔP (MPa) e.g. up to 12% at 200 MPa • ! Temperature changes by up to 15°C during compression and expansion; volume changes NYSCC
Kinetic Effects • Time for mercury to move through pores • Over-pressure is needed • Smaller pore take longer Example: 110% injection pressurePore radius 0.5 to 50 μm NYSCC
Equilibration rate - example Pore Volume (cm3/g) Pore diameter (m) • 0 seconds 0.5823 0.0081 • 2 seconds 0.5938 0.0089 • 10 seconds 0.5939 0.0095 • 30 seconds 0.6161 0.0098 • 0.001 l/g-sec 0.6210 0.0102 NYSCC
What Information do we get? • Pore Size (which size ??) • Pore Volume • Density (bulk, skeletal, or at various stages) • Compressibility • Surface Area • Particle Size • Pore Shape (?) • Pore Connectivity (?) NYSCC
Compressibility NYSCC
Compressibility (cont.) NYSCC
What Information do we get? • Pore Size (which size ??) • Pore Volume • Density (bulk, skeletal, or at various stages) • Compressibility • Surface Area • Particle Size • Pore Shape (?) • Pore Connectivity (?) NYSCC
Particle Size (?) • We use the inter-particle pore size as an estimation of the particle size (Mayer & Stove) NYSCC
Particle Size (cont.) • Pore size particle size (as shown)This is highly dependent on the particle packing characteristics (particle shape, stickiness, compaction pressure, etc.) Approximation: pore = 20% of particle size • Alternatively we use the calculated surface area to convert this into an equivalent particle size NYSCC
What Information do we get? • Pore Size (which size ??) • Pore Volume • Density (bulk, skeletal, or at various stages) • Compressibility • Surface Area • Particle Size • Pore Shape (?) • Pore Connectivity (?) NYSCC
Pore Shape and Pore Networks • Intrusion describes primarily the pore opening or entrance • Hysteresis is caused by: • Network effects • Pore shape (or pore connections) • Surface properties (contact angle effects) • Permeability (flow through) provides additional information (check for simulations) NYSCC
Hysteresis due to Surface ChemistryAlumina sample coated with Cu-sulfate Intrusion: a) for all samples Extrusion: b) untreated c) 0.5% d) 2% e) 40% CuSO4 NYSCC
Network modelsMercury intrusion in model porous media.By C. Tsakiroglou and A. Payatakes; Adv. Colloid Interface Sci; 75, 215-53 (1998) NYSCC
Network modelsMercury retraction in model porous media. By C. Tsakiroglou and A. Payatakes; Adv. Colloid Interface Sci; 75, 215-53 (1998) NYSCC
“Snap-off in ‘lenticular’ Throats”By C. Tsakiroglou and A. Payatakes; Adv. Colloid Interface Sci; 75, 215-53 (1998) NYSCC
Pore-Connectivity / Network - EffectBy C. Tsakiroglou and A. Payatakes; Adv. Colloid Interface Sci; 75, 215-53 (1998) Initial stage ↓ Final stage NYSCC
Cylindrical Pore1 μm diameter; Θ = 140°; γ = 0.48 N/m Conical-Cylinder Pore “Energy Barrier Model” NYSCC
Pore-Cor Simulation Model • Generates a 3-D representation of the pore space using information derived directly from mercury intrusion data. • PoreCor data reduction shows: • porosity • pore connectivity • pore throat correlation • pore tortuosity • absolute gas permeability • (gas diffusion through a dry sample) • trapping of non-wetting fluids sandstone sample: showing mercury intrusion (grey), after injection by polymer (blue). Yellow volumes are empty. NYSCC
Complimentary Porosity Characterization Techniques • Microscopy • Permeability measurements • Infiltration tests: • Wood’s metal • Water or other liquids • CT (computer tomography) • NMR studies of relaxation times • Light Scattering, SAXS (and SANS) NYSCC
Conclusions • Hg-Porosimetry uniqueness; it covers 5 orders of magnitude; from mm to nm. • Safety and Environmental concerns; manageable. • Remember: Intrusion = Pore Entrance • Hysteresis may lead to understanding of pore shape and connectivity. • Work on model pore structures is needed to gain more understanding. • New simulation software offers great possibilities; but use with caution !! NYSCC
Thanks for your interest and thanks to the organizer for the opportunity to be here! Literature • H. Giesche; Chapter 2.7 in ‘Handbook of Porous Solids’, Wiley (2002) Overview article • H. Giesche, et.al.; Colloid & Surfaces, 37, 93-113 (1989) Ordered silica sphere structures • C. Tsakiroglou et.al.; Adv. Colloid Interface Sci; 75 215-53 (1998) 2-D model pore structures; experiments & simulations Others not specifically referenced in this presentation: • Sean Rigby; numerous publications over the last 5 yearsNetwork models for hysteresis effects; experiments and interpretation • Peter Matthew; numerous publications over the last 10 years‘Pore Core’ simulation model • Geoffrey Mason; numerous publications over the last 20 yearsSurface curvature; intrusion and extrusion in simple rod-plate structures • Powder Technology, Vol. 29 (1981), special issue Hg-porosimetry NYSCC
Literature Literature Thanks for your interest and thanks to the organizer for the opportunity to be here! • H. Giesche; Chapter 2.7 in ‘Handbook of Porous Solids’, Wiley (2002) Overview article • H. Giesche, et.al.; Colloid & Surfaces, 37, 93-113 (1989) Ordered silica sphere structures • C. Tsakiroglou et.al.; Adv. Colloid Interface Sci; 75 215-53 (1998) 2-D model pore structures; experiments & simulations Others not specifically referenced in this presentation: • Sean Rigby; numerous publications over the last 5 yearsNetwork models for hysteresis effects; experiments and interpretation • Peter Matthew; numerous publications over the last 10 years‘Pore Core’ simulation model • Geoffrey Mason; numerous publications over the last 20 yearsSurface curvature; intrusion and extrusion in simple rod-plate structures • Powder Technology, Vol. 29 (1981), special issue Hg-porosimetry http://people.alfred.edu/~giesche/Publications.htm NYSCC