Three-dimensional reconstruction of anode
Adapted from: Wilson, J.R., et al., Three-dimensional reconstruction
of a solid-oxide fuel-cell anode. Nature Materials, 2006. 5(7):
p. 541-544.
James R. Wilson1, Worawarit Kobsiriphat1, Roberto Mendoza1,3, Hsun-Yi Chen3, Jon M. Hiller2, Dean J. Miller2, Katsuyo Thornton3, Peter W. Voorhees1, Stuart B. Adler4, and Scott A. Barnett1
1) Department of Materials Science and Engineering, Northwestern University, Evanston, Illinois 60208The drive toward increased energy efficiency and reduced air pollution has led to accelerated worldwide development of fuel cells. As the performance and cost of fuel cells have improved, the materials comprising them have become increasingly sophisticated, both in composition and microstructure. In particular, state-of-the-art fuel cell electrodes typically have a complex micro/nano-structure involving interconnected electronically and ionically conducting phases, gas-phase porosity, and catalytically active surfaces. Determining this microstructure is a critical, yet usually missing, link between materials properties/processing and electrode performance. Current methods of microstructural analysis, such as scanning electron microscopy, provide only two-dimensional anecdotes of the microstructure, and thus limited information about how regions are interconnected in three-dimensional space. Here we have demonstrated the use of dual-beam focused ion beam scanning electron microscopy (FIB-SEM) for making a complete 3D reconstruction of a solid oxide fuel cell (SOFC) electrode. We use this data to calculate critical microstructural features such as volume fractions and surface areas of specific phases, three-phase boundary length, and the connectivity and tortuosity of specific sub-phases.
RESULTS:
The focus of this initial study was the Ni-yttria-stabilized zirconia (Ni-YSZ) composite anode, typical of an anode-supported SOFC. This system was chosen because it typifies the problem of connecting microstructure to performance in a 3-D microstructural network. The cell consisted of a thin yttria-stabilized zirconia (YSZ) electrolyte layer cast onto a thick NiO-YSZ anode support, with a composite cathode of La0.8Sr0.2MnO3 and YSZ. A maximum power density of ≈ 1.2 W/cm2 was produced by the cell at 800°C. This power density is fairly typical of SOFCs tested under these conditions. Thus, the microstructures examined below are believed to be representative of state-of-the-art Ni-YSZ SOFC anodes.
The first step in 3D microstructure reconstruction is to obtain volumetric information that can be interrogated to provide 3D information. The advent of dual-beam focused ion beam – scanning electron microscopy (FIB-SEM) has greatly facilitated this process by providing high-quality volumetric data. The FIB is first used to ion mill a trench in the SOFC. Figure 1 shows the FIB-SEM configuration schematically. Thin (50 nm) sections are removed from an exposed surface by the FIB, followed by SEM imaging of the surface, and the process repeated to yield a series of consecutive SEM images.
A three-dimensional reconstruction of the anode is obtained by stacking the 2D SEM images in 3D space. Figure 2 shows a portion of the resulting 3D reconstruction showing the Ni (green), YSZ (transparent), and pore phases (blue).
Figure 2: Three-Dimensional Reconstruction of the SOFC showing the Ni (green), YSZ (transparent), and pore (blue) phases.An important application of 3D reconstruction is to quantitatively connect microstructure to electrochemical performance. Three-phase boundary (TPB) length is widely viewed as a key electrode structural parameter. For a SOFC anode, this concept can be understood by considering the electrochemical reaction of H2 with an oxygen ion O2- to produce the product H2O:
H2(gas) + O2-(YSZ) → H2O(gas) + 2e-(Ni)
This reaction involves gas phase species (present in pores), free electrons (in Ni), and oxygen ions (in the YSZ phase), and hence is expected to occur at a rate correlated to the TPB length. Figure 3 shows an inventory of TPBs obtained by analyzing the 3D anode map (Fig. 2). The volume-specific TPB length was found to be 4.28x106 m/cm3. Although TPB lengths have previously been estimated from 2D images of LSM-YSZ cathodes, this is the first direct measurement known to the authors.
This material is based upon work supported by the National Science Foundation under Grant No. 0542619.
Oxide Anodes

[1] B.D. Madsen, W. Kobsiriphat, Y. Wang, L.D. Marks and S.A.Barnett, Journal of Power Sources. 166 (2007) 64-67.
This project is currently supported by the DoE (Basic Energy Sciences Program) and the California Energy Commission
J.A. Scott, Y. Boonyongmaneerat, J.D. DeFouw, and D.C. Dunand

Figure 1. SEM micrograph of 50% porous Fe-based E-BRITE foam prepared by powder metallurgy with a sacrificial salt placeholder.
This work is funded by GE Global Research and NASA.

1. Lin, Y.B., et al., Direct operation of solid oxide fuel cells with methane fuel. Solid State Ionics, 2005. 176(23-24): p. 1827-1835.
2. Lin, Y.B., Z.L. Zhan, and S.A. Barnett, Improving the stability of direct-methane solid oxide fuel cells using anode barrier layers. Journal of Power Sources, 2006. 158(2): p. 1313-1316.
3. Zhan, Z.L., et al., High-rate electrochemical partial oxidation of methane in solid oxide fuel cells. Journal of Power Sources, 2006. 161(1): p. 460-465.
4. Zhan, Z. and S.A. Barnett, Use of a catalyst layer for propane partial oxidation in solid oxide fuel cells. Solid State Ionics, 2005. 176(9-10): p. 871-879.
5. Zhan, Z., J. Liu, and S.A. Barnett, Operation of anode-supported solid oxide fuel cells on propane-air fuel mixtures. Applied Catalysis A: General, 2004. 262(2): p. 255-259.
6. Pillai, M.R., D.M. Bierschenk, and S.A. Barnett, Electrochemical partial oxidation of methane in solid oxide fuel cells: Effect of anode reforming activity. Catalysis Letters, 2008. 121(1-2): p. 19-23.
This project is currently funded by the Petroleum Research Fund
Optimized electrode microstructure
Work of Dr. Jason D.
Nicholas (Scott A Barnett, PI)
The newest aspect of
my work focuses on modeling the behavior of solid oxide fuel cell electrodes
in an attempt to understand the rate limiting processes and optimize electrode
microstructure. As shown in the figure, which is a composite cathode comprised
of a Ce0.9Gd0.1O1.95 (CGO)
backbone infiltrated with a completely uniform Ba0.5Sr0.5Co0.8Fe0.2O3 (BSCF)
nano-particle coating, by combining the results of fundamental property measurements
with Finite Element Modeling, the voltage distribution (and therefore the electrode
polarization resistance) of a spatially complicated solid oxide fuel cell electrode
can be determined. For the modeling, LaPlace's Equation was solved after a
1V potential was placed on the surface of the cathode and a 0V potential was
placed in the center of the SOFC electrolyte (which is located at the bottom
of the pictured repeat unit). The fact that most of the resistance in a solid
oxide fuel cell electrode comes from the surface exchange resistance can be
seen in the relatively low magnitude of the potential within the CGO backbone,
compared to what was applied to the surface.

This work is the first time finite element modeling has been
performed on branched solid oxide fuel cell electrodes, and the branches can
lead to a significant reduction in electrode polarization resistance. For instance,
the electrode polarization resistance for the electrode shown in the figure is
0.060 Ohm*cm^2 at 700C, whereas the same cathode without the 50nm wide CGO arms
is 0.287 Ohm*cm^2.
For a complete description of this and other work I'm performing, please
visit: http://jdnicholas.mccormick.northwestern.edu/