3d Porosity Measurment
3d Porosity Measurment
Journal
                                     Fabrication of Functionally Graded and Aligned Porosity in Thin
                                     Ceramic Substrates With the Novel Freeze–Tape-Casting Process
                                                                                                                                             Stephen W. Sofiew
                                                       Mechanical and Industrial Engineering, Montana State University, Bozeman, Montana 59717
Functionally graded and continuously aligned pore structures                                    eliminating porosity through high solids loading.8–10 It was fur-
have been fabricated by a modified tape-casting process for use                                  ther discovered that the use of freezing additives in aqueous
as solid oxide fuel cell electrodes, catalysts, sensors, and filtra-                             systems such as glycerol, glycols, antifreeze proteins, and alco-
tion/separation devices. Pore gradients from o5 to 100 lm and                                   hols was necessary to achieve high green density and particle
aligned pore tubules have been directly fabricated in various ce-                               packing after solidification.8 The undesirable porosity that was
ramic materials with thin substrate sections approximately 500–                                 first recognized from these freezing processes focused on fabri-
1500 lm utilizing both low-toxicity aqueous-based slips and or-                                 cating dense ceramics, however, showed pore morphologies that
ganic solvents. This process allows for the generation of pores                                 have driven the technology toward the fabrication of porous
without the use of thermally fugitive pore formers in a single                                  ceramics with unique microstructures not achievable through
processing step with no need for tape lamination. The incorpo-                                  other routes.11–16 Recently, freeze-casting processing has wit-
ration of tape casting, unidirectional solidification, and the                                   nessed several new stages of development, including new room-
freeze-drying process results in uniformly acicular pores aligned                               temperature solidifying solvent systems such as camphene.17–19
with the direction of the moving carrier film. Processing and                                    This new focus on pore forming is very promising; however,
microstructure variability will be discussed as it pertains to the                              aside from fabricating complex/bulk shapes with intricate dies
effects of solids loading, freezing temperatures, and solvent type.                             and ethanol/dry ice baths, the commercial viability of freeze
Applications for this ceramic processing technology will also be                                casting large area porous membranes using dies and cryogenic
discussed.                                                                                      baths is poor at best. Further, freeze casting relatively thick
                                                                                                cross sections in dies or cavities can result in erratic/noncontin-
                                                                                                uous long-range pore alignment that is inherent in the tumultu-
                               I. Introduction                                                  ous process of solvent solidification.9,12,13,16
                                                                                                   A combination of the tape-casting process and freeze-casting
T    APE  casting is a commercial processing technology used
     around the world for the manufacture of electronic and
structural ceramics with thicknesses typically ranging from 25 to
                                                                                                process has resulted in a new freeze–tape-casting process that has
                                                                                                been developed as a direct means of forming and controlling
1000 mm. More recently, continuously processed porous tape-                                     complex pore structures in large area green tapes through com-
cast ceramics have been used globally in the manufacture of                                     mercially viable routes. The freeze–tape-casting process not only
catalyst support structures, solid oxide fuel cells, and filtration                              allows tailoring of continuously graded pores through the entire
membranes. Current pore-forming techniques in the fabrication                                   cross section but also allows for long-range alignment of acicular
of porous tape-cast ceramics utilize thermally fugitive com-                                    pores from the surface that is not readily seen in freeze casting
pounds (polystyrene, carbon/graphite, etc.) to generate a vari-                                 through the use of small dies. The freeze–tape-casting process
ety of pore structures that are dependent upon the morphology                                   starts with the traditional tape-casting process, where an aqueous
and packing of these compounds.1,2 Graded pores structures can                                  ceramic slip (ceramic particles suspended in water) is cast onto a
then be based on constant pore volume (fewer, but larger pores                                  Mylart or Teflont carrier film via a doctor blade apparatus. A
on one side of the structure), constant pore size (more pores of                                standard tape caster is utilized that has been modified only with a
identical size on one side of the structure), or a combination of                               thermally isolated freezing bed to allow for unidirectional solid-
both. Given the traditional techniques, the ability to engineer                                 ification of the slurry after casting. As with traditional tape cast-
pore structures is limited to manipulation of thermal fugitive                                  ing, the slip contains sufficient organic binders that make the
particle orientation and stability during the slurry process. Fur-                              tape strong and flexible after solvent evaporation for handling
ther, the generation of graded pore structures is accomplished                                  and cutting. The additional benefit of freezing tapes has several
through multiple lamination steps that lead to increased costs in                               distinct advantages for specific applications requiring porous
industrial environments and additional modes of failure that                                    substrates. The freezing of the tape, typically solidified in just
arise from processing-related defects. Traditional tape casting                                 several minutes, eliminates particles settling out of the suspension
presents another limitation, the drying process, which restricts                                as opposed to the traditional process of allowing the solvent to
tape thickness due to settling and drying stresses and is one of                                evaporate slowly, which can ultimately result in compositional
the most crucial and difficult steps in the traditional process.                                 and physical changes in the uniformity of the product, particu-
   The use of freeze casting to process ceramics is one technique                               larly when mixed inorganic powders of varying size and density
that may be useful to tailor pore structures in complex-shaped                                  are used. After the solidification process, the tape is subsequently
advanced ceramics.3–7 Freeze-casting concepts involving the so-                                 cut and freeze dried under a vacuum for quick solvent removal
lidification of a solvent and subsequent freeze drying were ini-                                 through sublimation, where the frozen liquid transforms from a
tially developed with the focus to create dense ceramics by                                     solid to a gas without an intermediate liquid phase. The subli-
                                                                                                mation process eliminates capillary forces due to liquid–vapor
                                                                                                transitions, thus negating the drying stresses that can lead to
   J. Halloran—contributing editor
                                                                                                warping and density gradients. This feature makes the freeze–
                                                                                                tape-casting system very effective in the fabrication of relatively
                                                                                                thick tapes, exceeding several millimeters or more. As a result,
    Manuscript No. 22466. Received November 9, 2006; approved February 13, 2007.                freeze–tape-cast green tapes can be processed without the exten-
    This work was conducted at the NASA Glenn Research Center and supported in part by          sive optimization of processing additives that is driven predom-
the LEAP (Low Emission, Alternate Power) program.
    w
     Author to whom correspondence should be addressed. e-mail: ssofie@me.montana.edu            inantly by complexities of the drying process.
                                                                                         2024
July 2007                                     Fabrication of Porous Thin Ceramic Substrates                                        2025
   Furthermore, in lieu of using water, several organic solvents       process while allowing control of the freezing platen tempera-
with high melting points, including tertiary butyl alcohol (TBA)       ture to modify the tape properties. The freeze–tape-casting flow-
discussed later in this paper, and the camphene system can form        chart can be seen in Fig. 2, illustrating the processing steps
pore channels or other unique pore structures when solidified           utilized in this technique. Aqueous and TBA-based slurries were
from a single direction. These solvent systems are also compat-        prepared by traditional ball milling with the addition of dispers-
ible with the freeze–tape-casting process and offer the ability to     ants and binders to achieve the appropriate uniformity, flexibil-
cast ceramics that are reactive with water, with melting temper-       ity, and strength for postcast processing and characterization.
atures that exceed room temperature.                                   Approximately 8 in.  15 in. tapes were cast using an 8-in. doc-
   The work presented in this study illustrates the level of mi-       tor blade assembly. The freezing bed was maintained at a con-
crostructural control, including pore gradient and alignment           stant temperature during casting, monitored with a k-type
that can be achieved using water and TBA, while allowing the           thermocouple on the platen, to ensure a consistent solidifica-
scale-up potential and cost-effectiveness for industrialized use.      tion rate for the entire tape. A pulling rate of o10 mm/s was
The relationships between solids loading, freezing platen tem-         utilized to ensure a continuous and directional solidification
perature, and density have been examined in the preliminary            front over the length of the tape, which is essential in the for-
study of this processing technology to enable integration of these     mation of long-range pore ordering.
materials into emerging fuel cell and filtration technologies.             Aqueous YSZ slurries were prepared at 10, 20, 30, 40, and 50
However, the freeze–tape-casting process, aside from minor             vol% solids loading and frozen at 351C to characterize the
variables, is a material-independent process, allowing the fabri-      effects of solids loading on the density and pore morphology.
cation of many ceramic materials, and nanopowder ceramics              YSZ slurries at 30 vol% solids were then frozen at 101, 201,
with tape thicknesses exceeding the outer bounds of traditional        301, 401, 501, and 601C to characterize the effects of
tape casting.                                                          freezing temperature/rate on the density and pore morphology.
                                                                       TBA slurries were prepared at 10, 20, 30, 40, and 50 vol% solids
                                                                       loading and frozen at 101C. While Mylart (DuPont Teijin
                   II. Experimental Procedure                          Films, Hopewell, VA) was utilized in this initial study as a stan-
                                                                       dard carrier film, solidification can also be performed on an
(1) Materials and Procedure                                            aluminum foil and Grafoilt carriers (Advanced Energy Tech-
Yttria-stabilized zirconium oxide (YSZ) was selected as the pre-       nology, Inc., Lakewood, OH) to improve heat transfer through
liminary material for use in this study, given its heavy use in        the carrier, which can dramatically affect the tape microstruc-
catalyst supports, biological membranes, and fuel cell applica-        tures. The samples were frozen in a laboratory-scale vacuum
tions. Yttria-stabilized zirconia (8YSZ; Zirconia Sales (America)      freeze dryer (FreeZone 12; Labconco Corp., Kansas City, MO)
Inc., Kennesaw, GA) with a nominal particle size of 0.55 mm            at various temperatures under a 4 Pa vacuum for 12 h before
and a surface area of 8.3 m2/g was utilized as received. Water-        punching 2.54 cm circular disks. Disks were sintered at a con-
based suspensions were prepared with an ammonium polyacry-             stant heating rate of 51C/min to 14001C for 2 h before density
late dispersant (Darvan C-N, R.T. Vanderbilt Co., Inc., Nor-           and microstructural characterization. The porosity present in
walk, CT) and an acrylic latex emulsion binder system                  the green state improves the manner in which polymer decom-
(Duramax, Rohm & Haas, Philadelphia, PA) in which the pow-             position gases are allowed to escape the green body. This, com-
der/binder ratio was kept constant for all tapes. For near-room-       bined with a process designed to make thin ceramic substrates,
temperature processing, TBA (Fisher Scientific Inc., Fair Lawn,        negates the need for a special binder burnout process.
NJ) with a melting point of 251C and room-temperature viscos-
ity of 4.0 mPa  s was utilized with the addition of a fish oil dis-
persant (Z-3; Richard Mistler Inc., Yardley, PA) to obtain stable      (2) Characterization
slurries. A standard polyvinyl butyral binder system (B-98;            Circular YSZ disks 2.54 cm in diameter were cut from approx-
Richard Mistler Inc.) was used with a nonaqueous solvent.              imately 500–1500-mm thick tapes and characterized before and
   The freeze–tape-casting apparatus is shown in Fig. 1 and            after sintering via geometric density measurement. Densities
consists of a standard research tape caster (TTL-1200; Richard         were reported as relative densities based on the theoretical den-
Mistler Inc.) in which the drying bed has been modified with the        sity of 8YSZ, 5.90 g/cm3.
integration of cooling lines and a low-temperature recirculating          The microstructural development of sintered parts was ob-
chiller (Neslab ULT-80; Thermo Electron Corp., Waltham,                served on fracture and polished surfaces utilizing a scanning
MA). The freezing bed is thermally isolated from the rest of
the unit to introduce a sharp temperature transition. This design
allows the cast slurry to flow and level before the solidification
Fig. 4. Representative pore morphologies of yttria-stabilized zirconium oxide aqueous freeze–tape-cast substrates frozen at 351C for solids loading
ranges of: (A) 10–35 vol% solids; (B) 35–40 vol% solids; (C) 40–45 vol% solids; (D) 445 vol% solids (bar 5 25 mm).
July 2007                                       Fabrication of Porous Thin Ceramic Substrates                                                     2027
Fig. 6. Electron micrographs of 30 vol% solids yttria-stabilized zirconium oxide aqueous freeze–tape-cast substrates: (A) frozen at 501C; (B) frozen at
251C; (C) frozen at 51C; and (D) surface morphology of large pores (bar 5 25 mm).
2028                                              Journal of the American Ceramic Society—Sofie                                     Vol. 90, No. 7
This trend is attributed to the generation of noncontinuous                    there is significant variation in density attributed to the distri-
closed porosity at higher solids loading, allowing for greater                 bution and morphology of pores in the localized areas of sam-
densification of the ceramic matrix. On the other hand, highly                  ples cut for density measurement. Variations in density during
porous ceramic freeze–tape-cast membranes form separated sol-                  firing can be readily explained in that solid-state sintering is de-
id pillars that span too great a gap for solid-state diffusion                 pendent upon particle contact and thus the formation of necks
mechanisms to bridge, resulting in a o4% change in porosity at                 within the sample as a high chemical potential sink for atomic
10 vol% solids. The shrinkage behavior observed in Fig. 3 can                  transport and hence densification. Changes in the morphology
thus be utilized to optimize cosintering processes. The micro-                 of the pores can affect the interparticle contact within the spec-
structures shown in Fig. 4 illustrate the effects that solids load-            imen, altering the degree of shrinkage, thus yielding density
ing has on the solidification process. While the freezing platen                variations. The ratio of green and sintered porosities, however,
temperature is kept constant for the solids loading study, it is               remains nearly constant in Fig. 5, indicating that while there is
anticipated that changes in solids loading may affect the heat                 some local variation in microstructure, the degree of densificat-
transfer characteristics of the slurry, thus altering the freezing             ion is relatively unaffected. The tailoring of pore morphologies
rate. Faster freezing rates, combined with higher solids loading,              by altering the freezing temperature is shown in Fig. 6. Very cold
may further limit pore continuity as evidenced in Fig. 4. The                  temperatures (fast freezing rates) result in accelerated ice crystal
effects of freezing rate and solids loading could not be readily               growth, in which little to no deviation from columnar growth is
separated; however, given the low thermal conductivity of YSZ,                 noted in Fig. 6(A). Pores grown in this low-temperature regime
it is expected that the solids loading effect is dominant. A sig-              show excellent ordering with uniform size and shape. A slowing
nificant range of solids loading from 10 to 35 vol% yields the                 of ice crystal growth rate is shown to introduce some dendritic
highly columnar ice crystal growth. While continuous pore                      growth of the ice crystals as shown in Fig. 6(B); however, this is
channels can be fabricated at 35 vol% solids, higher solids load-              also accompanied by a discontinuity of porosity through the
ing introduces heterogeneous nucleation and/or incomplete ce-                  cross section. A strong bimodal distribution of pores, as dis-
ramic particle rejection, resulting in graded, but noncontinuous,              cussed previously, is also evident through the cross section of
pore morphologies. The ability to tailor pore structures beyond                Figs. 6(A) and (B), in which the ice crystals appear to diverge
45 vol% solids via solidification processes is no longer possible               rapidly until a specific surface/volume energy equilibrium crys-
due to excessive particle packing and diminished water content.                tallite size is achieved at which point the ice crystal grows at a
The maximum solids loading limit of attaining columnar-graded                  significantly reduced rate of divergence. Further decrease of the
pore structures in water is approximately in the range of 35                   solidification temperature close to the melting point, shown in
vol% solids, which is ideal for creating low-viscosity slips with              Fig. 6(C), results in slow and tortuous growth patterns that de-
submicrometer and potentially nano-sized ceramic powders.                      viate strongly from columnar, but still maintain overall pore
    While solids loading plays a leading role in determining the               grading through the entire tape thickness.
final microstructure of freeze–tape-cast substrates, the freezing                  While porous graded structures tend to show dramatic dis-
platen temperature (i.e., freezing rate) strongly effects the mor-             tortion upon sintering due to differential densification across the
phology of the ice. Figure 5 shows the change in porosity as a                 cross-sectional thickness, the freeze–tape-cast structures remain
function of freezing rate, and while it is expected that the den-              predominantly flat during sintering without the use of weight or
sities will remain unchanged due to constant solids content,                   creep flattening steps. While the freeze–tape-cast structures have
     Fig. 8. Microstructure of 25 vol% tertiary butanol freeze–tape-cast yttria-stabilized zirconium oxide ((A) bar 5 100 mm, (B) bar 5 10 mm).
July 2007                                       Fabrication of Porous Thin Ceramic Substrates                                                 2029
pores are aligned nearly perpendicular to the solidification                    cessing technology as discussed elsewhere.26 These applications
platen.                                                                        demonstrate the versatility and material-independent nature of
   Figure 7 shows the green and sintered density of TBA-pro-                   this processing technology.
cessed zirconia slurries at varying solids loading utilizing a con-
stant freezing platen temperature. Given the solidification
behavior of TBA and the negligible dimensional change during                                                  V. Conclusions
freezing, the densities follow a linear trend with solids loading.             Porous ceramic substrates were successfully fabricated using the
While TBA is effective at creating open porosity, this solvent                 new freeze–tape-casting process utilizing both aqueous and TBA
system does not show as dramatic or continuous a pore growth                   solvent systems. Graded and aligned porosity was achieved in
like the aqueous process. The vapor pressure of TBA is condu-                  thin, large-area YSZ tapes, and the capability to tailor pore
cive to skinning before solidification, and Fig. 8 shows the for-               structures was demonstrated by means of altering solids loading
mation of a dense/porous bi-layer fabricated in a single                       and freezing bed temperatures. Unique columnar line-of-sight
processing step using TBA-based tapes as also evidenced in                     channels can be fabricated through the entire cross section of
the camphene system.24 The formation of a dense layer is clearly               YSZ substrates exceeding 1-mm thickness in a single processing
seen in slurries 420 vol% solids. Given the high vapor pressures               step. Beyond cross-sectional microstructure control, the aque-
of the organic solvents, the formation of skins may be beneficial,              ous freeze–tape-casting technique allows the ability to order
but may also be difficult to avoid for fabricating porosity                     pore morphology on the surface of the tape, a concept that may
through the entire tape thickness. Preparation of YSZ bi-layers                be further exploited for gas/liquid transport applications. The
in effect creates a porous layer near the Mylar-casting surface,               ceramic particle rejection phenomenon allows the fabrication of
and a dense layer at the top of the tape shown in Fig. 8, just the             pores without the use of traditional thermal fugitives and eases
opposite of the aqueous system.                                                the thermolysis process with the ability to generate pores in the
                                                                               green state. The TBA system offers an alternative to water-based
(5) Freeze–Tape-Casting Applications                                           processing where room-temperature solidification is desired.
The functional pore grading generated by this process is highly                Further, the high vapor pressure of the TBA-based systems al-
suited to numerous applications requiring both liquid and gas                  lows direct fabrication of porous/dense bi-layers in a single pro-
transport. In the case of liquid transport, the capillary pressure,            cessing step, thus creating a means of preparing both the catalyst
DP, is defined in Eq. (1), where g is the interfacial energy, cos y is          and support in a single step. This processing technology has
the wetting angle, and r is the pore radius.                                   shown to be effective in fabricating fuel cells and separation
                                                                               membranes.
    DP ¼ 2g cos y=r                                               (1)
                                                                                                             Acknowledgments
   Given that interfacial energy and wetting angle are constant
for a substrate comprised solely of YSZ, the capillary pressure                   The author would like to thank Dr. Thomas Cable and Mr. John Setlock for
                                                                               their invaluable input on fuel cell applications and ceramic processing.
on the small pore surface can exceed  100 that of the large pore
surface. In effect, the pore grading creates a substantial differ-
ential pressure across the substrate, creating a condition for sur-                                               References
face energy-driven liquid transport toward the small pores.                      1
                                                                                   S. F. Corbin and P. S. Apte, ‘‘Engineered Porosity Via Tape Casting, Lami-
These substrates may be highly useful in water/gas separation                  nation and Percolation of Pyrolyzable Particulates,’’ J. Am. Ceram. Soc., 82 [7]
membranes for dual-phase flow, particularly in low-gravity                      1693 (1999).
                                                                                  2
environments where buoyancy no longer serves to separate                           M. Boaro, J. M. Vohs, and R. J. Gorte, ‘‘Synthesis of Highly Porous Yttria-
phases, resulting in ‘‘air locking’’ of traditional transfer systems.          Stabilized Zirconia by Tape-Casting Methods,’’ J. Am. Ceram. Soc., 86 [3] 395–400
                                                                               (2003).
Figure 11 depicts a prototype solid-state, condensing water/air                   3
                                                                                   J. W. Halloran, ‘‘Making Better Ceramic Composites with Ice,’’ Science, 311,
separation device utilizing an aluminum oxide freeze–tape-cast                 479–80 (2006).
                                                                                  4
substrate.                                                                         S. Deville, E. Saiz, R. K. Nalla, and A. P. Tomsia, ‘‘Freezing as a Path to Build
   Furthermore, these substrates may also serve as highly effec-               Complex Composites,’’ Science, 311, 515–8 (2006).
                                                                                  5
                                                                                   F. Dogan and S. W. Sofie, ‘‘Microstructural Control of Complex-Shaped Ce-
tive gas transport mediums with very low tortuosity, which is                  ramics Processed by Freeze Casting,’’ CFI—Ceram. Forum Int., 79 [5] 35–8 (2002).
defined as the actual path length of the gas divided by the thick-                 6
                                                                                   R. W. Jones, ‘‘Near Net Shape Ceramics by Freeze Casting,’’ Ind. Ceram., 20
ness of the porous substrate. Compared with traditionally                      [2] 117–20 (2000).
                                                                                  7
fabricated porous ceramics that can have tortuosities of                           S. Z. Rak, ‘‘Advanced Shaping Techniques in Advanced Ceramics,’’ CFI—
                                                                               Ceram. Forum Int., 77 [6] 6–16 (2000).
approximately 3–10,25 the line-of-sight pore channels fabricat-                   8
                                                                                   S. W. Sofie and F. Dogan, ‘‘Freeze Casting of Aqueous Alumina Slurries With
ed from freeze–tape casting can approach unity. The freeze–                    Glycerol,’’ J. Am. Ceram. Soc., 84 [7] 1459–64 (2001).
                                                                                  9
tape-cast pore structures are therefore highly suited for solid                    T. Moritz and H. J. Richter, ‘‘Ceramic Bodies With Complex Geometries and
oxide fuel cell technology, particularly for use in thick anodes,              Ceramic Shells by Freeze Casting Using Ice as Mold Material,’’ J. Am. Ceram.
                                                                               Soc., 89 [8] 2394–8 (2006).
where the byproduct generation of water must efficiently ex-                       10
                                                                                    K. Lu and C. S. Kessler, ‘‘Optimization of a Nanoparticle Suspension for
change with fresh fuel for effective operation. Figure 12 shows                Freeze Casting,’’ J. Am. Ceram. Soc., 89 [8] 2459–65 (2006).
                                                                                  11
the cross section of an anode supported solid oxide fuel cell                       T. Fukasawa, Z. Y. Deng, M. Ando, and T. Ohji, ‘‘High-Surface-Area Al-
fabricated with a graded porous anode. Initial performance                     umina Ceramics with Aligned Macroscopic Pores,’’ J. Ceram. Soc. Jpn., 109 [1276]
                                                                               1035–8 (2001).
evaluations indicated significant promise for graded porous                       12
                                                                                    T. Fukasawa, Z. Y. Deng, M. Ando, T. Ohji, and Y. Goto, ‘‘Pore Structure of
ceramics in these systems. In addition, a new fuel cell design                 Porous Ceramics Synthesized from Water-Based Slurry by Freeze–Dry Process,’’
concept at NASA has been developed based on this new pro-                      J. Mater. Sci., 36 [10] 2523–7 (2001).
July 2007                                            Fabrication of Porous Thin Ceramic Substrates                                                               2031
  13                                                                                 20
     J. W. Moon, H. J. Hwang, M. Awano, K. Maeda, and S. Kanzaki, ‘‘Prep-               Y. H. Koh, E. J. Lee, B. H. Yoon, J. H. Song, J. E. Kim, and H. W. Kim,
aration of Dense Thin-Flm Solid Electrolyte on Novel Porous Structure With         ‘‘Effect of Polystyrene Addition on the Freeze Casting of Ceramic/Camphene
Parallel Pore Channel,’’ J. Ceram. Soc. Jpn., 110 [1281] 479–84 (2002).            Slurry for Ultra-High Porosity Ceramics with Aligned Pore Channels,’’ J. Am.
   14
     D. Koch, L. Andresen, T. Schmedders, and G. Grathwohl, ‘‘Evolution of         Ceram. Soc., 89 [12] 3646–53 (2006).
                                                                                      21
Porosity by Freeze Casting and Sintering of Sol–Gel Derived Ceramics,’’ J. Sol–         D. R. Uhlmann, B. Chalmers, and K. A. Jackson, ‘‘Interaction Between
Gel Sci. Technol., 26 [1–3] 149–52 (2003).                                         Particles and a Solid–Liquid Interface,’’ J. Appl. Phys., 35, 2986–93
   15
     S. R. Mukai, N. Nishihara, and H. Tamon, ‘‘Formation of Monolithic Silica     (1964).
                                                                                      22
Gel Microhoneycombs (SMHs) Using Pseudosteady State Growth of Microstruc-               J. P. Terwilliger and S. F. Dizio, ‘‘Salt Rejection Phenomena in the Freezing of
tural Ice Crystals,’’ Chem. Commun., 7, 874–5 (2004).                              Saline Solutions,’’ Chem. Eng. Sci., 25, 1331–49 (1970).
   16                                                                                 23
     S. Deville, E. Saiz, and A. P. Tomsia, ‘‘Freeze Casting of Hydrox-                 N. O. Shanti, K. Araki, and J. W. Halloran, ‘‘Particle Redistribution During
yapatite Scaffolds for Bone Tissue Engineering,’’ Biomaterials, 27 [32] 5480–9     Dendritic Solidification of Particle Suspensions,’’ J. Am. Ceram. Soc., 89 [8] 2444–
(2006).                                                                            7 (2006).
   17                                                                                 24
     K. Araki and J. W. Halloran, ‘‘Room-Temperature Freeze Casting for Ce-             Y. H. Koh, J. I. Kook, J. J. Sun, and H. E. Kim, ‘‘In Situ Fabrication of
ramics With Nonaqueous Sublimable Vehicles in the Naphthalene–Camphor Eu-          Dense/Porous Bi-layered Ceramic Composite Using Freeze Casting of a Ceramic–
tectic System,’’ J. Am. Ceram. Soc., 87 [11] 2014–9 (2004).                        Camphene Slurry,’’ J. Am. Ceram. Soc., 89 [2] 763–6 (2006).
   18                                                                                 25
     K. Araki and J. W. Halloran, ‘‘Porous Ceramic Bodies with Interconnected           Y. Jiang and A. V. Virkar, ‘‘Fuel Composition and Diluent Effect on Gas
Pore Channels by a Novel Freeze Casting Technique,’’ J. Am. Ceram. Soc., 88 [5]    Transport and Performance of Anode-Supported SOFC’s,’’ J. Electrochem. Soc.,
1108–14 (2005).                                                                    150 [7] 942–51 (2003).
   19                                                                                 26
     Y. H. Koh, J. H. Song, E. J. Lee, and H. E. Kim, ‘‘Freezing Dilute Ceramic/        T. L. Cable and S. W. Sofie, ‘‘A Symmetrical, Planar SOFC Design for
Camphene Slurry for Ultra-High Porosity Ceramics With Completely Intercon-         NASA’s High Specific Power Density Requirements,’’ J. Power Sources,
nected Pore Networks,’’ J. Am. Ceram. Soc., 89 [10] 3089–93 (2006).                in press.                                                                         &