carnegie mellon university, july 8-10, 2015 nano-scale...
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Nano-scale resolution X-ray computed tomography
1
Shawn Litster, Ph.D.Associate Professor, Department of Mechanical Engineering
Carnegie Mellon [email protected], 412 268 3050
Students: Siddharth Komini Babu, Sarah Frisco, Pratiti Mandal, William Epting, Arjun Kumar, Tim Hsu, Alex Mohammed
Collaborators: Paul Salvador, Jay Whitacre, Ryan Sullivan, and Jessica Zhang (CMU); Hoon Chung and Piotr Zelenay (LANL)
Workshop on 3D Microstructural StudiesCarnegie Mellon University, July 8-10, 2015
Outline
1. X-ray CT and nano-scale resolution X-ray CT (nano-CT)
2. Application of nano-CT to low temperature fuel cells for vehicles
3. Application of nano-CT to Li-ion batteries
2
Micro/Nano X-ray Computed Tomography
Slide 3
X-rayoptics
Micro X-ray CTConical beam focus~1 µm resolution
Nano X-ray CTX-ray optics50 nm resolution
Synchrotron light souce X-ray CTParallel, high intensity beamResolution of 15 nm with optics, limited depth of focus
Bone Photonic crystal Scaffold Shale RockIntegrated circuits
Images: Xradia.com
Why X-ray CT?• Three-dimensional: Important for anisotropic
materials (Compare to SEM or TEM)
• Internal imaging: Reveal inner structure within otherwise opaque materials (Compare to SEM and AFM)
• Non-destructive: Same sample can be imaged multiple times in different imaging modes and following various physicochemical events (Compare to destructive FIB-SEM).
• Ambient and controlled environments: No vacuum required, enabling in-situand in-operando experiments (Compare to SEM and TEM)
• Large field of view CT: Larger samples and more representative statistics (Compare to TEM-CT)
Slide 4
X-ray Attenuation and Radiographs
5
• Radiographs created by sample attenuating the X-ray
• Two main mechanisms for X-ray attenuation– Photoelectric absorption (dominant for 8 keV nano-CT)
– Compton scattering (hard X-rays)
• Photoelectric absorption scales as ~Z4/E3
• Beer’s Law
expo i i
i
I I x
Attenuated intensity
Initial intensity
Linear attenuation coefficientf(Z, density)
Thickness
Summation for material in series
http://www.nist.gov/pml/data/xraycoef/
Pt (Z = 78)
C (Z =6)
/r
[cm
2/g
]
Density normalized /r
Hand of W.C. Rӧntgen’s wife
Photon energy [MeV]
ThickerDenserHigher Z
More attenuation
X-ray Computed Tomography (CT)
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• Transmission images collected over 180o
rotation with collimated beam
• Sample rotates in nano-CT
• 2D example for 4 radiographs
• Detector image intensity a function of sample density, atomic number Z, and thickness
Detector
Source
Filtered Back Projection Reconstruction
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• Radiographs are computationally back projected into sample space
• High pass filtered to remove low frequency blurring
• Typically 400-900 projections for high resolution
Slice
Stacked slices 3D Volume
Nano-CT at Carnegie Mellon
Slide 8
• Xradia, Inc.’s UltraXRM-L200 Nano-CT
• Highest level resolution outside of a synchrotron using proprietary optics
• Laboratory 8 keV Cu rotating anode X-ray source
• Non-destructive imaging in ambient and controlled environments
• 4D imaging (space and time) for material evolution studies
• Fluid phase distributions
• 16 nm voxels, 50 nm resolution
NSF MRI award 1229090PI: Litster; Co-PIs: De Graef, Fedder, Feinberg, Sullivan
Nano-CT with X-ray Optics
Slide 9
Micro X-ray CT
Optics needed for resolutions better than 500 nm in X-ray CT
X-ray Source: Rotating Cu Anode• X-ray energy depends on target material’s emission
lines
• Trade-offs in photon energy:• Too low, no transmission
• Too high, low absorption contrast
• 8 keV of Cu anode balances absorption contrast and X-ray penetration depth for high resolution
• In between soft and hard X-rays
• Rotating anode for higher power
Slide 10
Emission lines of lab Cu X-ray source
X-rays
Monocapillary Condenser• Elliptical capillary focuses X-rays on sample
• High efficiency mono-capillary condenser instead of Fresnel zone plate condenser
• ~90% efficiency to enable high resolution with low intensity lab sources versus synchrotron beamlines
• Some inherent filtering above 10 keV
Slide 11
Fresnel Zone Plate Objective
Slide 12
• Diffractive X-ray lenses
• Circular grating with varying pitch focuses X-rays by constructive interference
• Rayleigh resolution depends on width of outermost zone
• For DRn = 35 nm, d = 43 nm
• Depth of focus (DOF) of ±16 µm for 8 keVphotons (λ = 0.15 nm)
• Optimized for 8 keV
• Long working distance (f) of ~2 cm
35 nmnRD
Gold rings
Inside the Nano-CT
Slide 13
The Optics – Two Modes
Slide 14
• M Feser, et al. Meas. Sci. Technol. 2008, 19, 094001
Pin hole Phase ring
Fresnel zone plate
Visible light microscope High Resolution (HRES):
Field of view: 16.3 µmResolution: 50 nm
Pixel resolution: 16 nm
Large Field of View (LFOV): Field of view: 65.6 µm
Resolution: 100-150 nmPixel resolution: 64 nm
• Each resolution mode has own set of optics (2 phase rings, 2 FZP, etc.)• Automated switching between LFOV/HRES and absorption/phase contrast
Resolution Test Pattern Images
Slide 15
Large Field of View – Phase Contrast High Resolution – Absorption Contrast
Full field of view
65 µm100 nm spacing at tips
50 nm spacing at tips
Dark areas = ~100 nm thick gold trace
Slide 16http://www.lanl.gov/mst/mst7/patterson/nanoCTspec.shtml
Length for 1/e transmission dropCarbon (Z=6), 10 mm
Platinum (Z=78), 2.3 µm
3
4400, 13, 2200C C C
Pt Pt Pt
L Z Z
L Z Z
Penetration depth scales ~Z3
Zernike Phase Contrast for Low Z Materials• Used for low absorption contrast materials
– Organic materials: polymers, porous carbon, tissue/cells
– Other low Z materials (Be, Li, Li2O2)
• Achieved by inserting Au phase ring after FZP objective
• Bright/dark halos at material interfaces
• Challenge: intensity not strongly dependent on density or material composition, challenging the segmentation.
Li-ion Graphite Anode (Panasonic 18650)Absorption contrast Zernike phase contrast
• Higher signal to noise ratio for pore/solid interface• Better resolved fine features of layered graphite• Little contrast between bulk solid and bulk air
Physics-Based Phase Contrast Correction Algorithm• Developed new physic based correction for Zernike phase
contrast to remove artifacts by modeling diffraction optics of the system
• Transforms phase contrast image to equivalent absorption image
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Uncorrected Corrected
Correction applied to PTFE coated carbon fiber for PEFC gas diffusion layer
Kumar, Mandal, Zhang, and Litster, J. Applied Physics, in press, 2015
Radiographs and Reconstruction• Combustion particle analysis by Prof. Ryan Sullivan & Kyle
Gorkowski, CMU
• Particles captured on Kapton mesh sample mount inside inertial sampler
• Mesh directly transferred into nano-CT without further sample preparation
Slide 19
Kapton mesh imaged by nano-CT’s visual light microscope
Transmission Radiographs 3D Reconstruction of Particles in Field of View
Start
180o rotation of sample
Finish
Sample requirements• Sample must be small to fit within the field of
view during entire rotation (Not strict, but recommended for quality)• Max. dia. of 65 µm for LFOV
• Max. dia. of 16 µm for HRES
• Not an issue for thin-film (<5 µm)
– e.g., porous polycarbonate
• Ideal sample is a cylinder with diameter of the FOV width
• Sample must be stable• Hygroscopic materials can be an issue due to swelling
• Software can correct for some rigid body motion with gold fiducial particle.
Slide 20
Shearing et al., J.Euro.Ceram. Soc., 2010
Sample mounting
Slide 21
Clip type sample holder
Flat back sample holder Pin vise sample holder
1
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Sample Preparation• Sample mounting ranges from very simple (film clip )
to challenging (FIB)
• Majority of samples are hand prepared at CMU and at Xradia’s applications lab
• Some options:• Microtome to thin polymer samples
• Hand cut sample to triangle so tip fits in FOV
• Laser milling
• Epoxy small and flimsy samples to pin
• Focused ion beam lift out
• Gold fiducial particles for HRES reconstruction
Slide 22
Catalyst particles on Kapton cut to fine tip
FIB lift out of SOFC electrode
Laser milled cylinder of shale rock
Setup for mounting gold fiducial particles
Sample Preparation – Miro Laser Milling
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• Laser micromill with 1 µm accurate control and beam width to prepare sample columns from MEAs
• Prepare through-thickness samples with maximum sample size in 3D image
Pillar of intact catalyst layer from MEA Membrane
surface
100 µm
Pillar of non-precious metal catalyst fuel
cell electrode
SOFC – current collector, cathode,
electrolyte, and anode
Laser extracted End of Life PEFC MEA with GDL
LFOV Zernike mosaicradiograph
Epoxy on pin
Sample
Laser mill Pin mounted column
Polymer Electrolyte Fuel Cells (PEFCs)
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Cathode
Anode
Bipolar plate
Gas diffusion layer (GDL)
Catalyst layer(10-20 m)
Membrane(15-50 m)
Hydrogen flow
Air flow
2H+
2e-
2e-
Overall fuel cell reactionH2 + 1/2O2 → H2O + Electricity + Heat
1 mm
0.3 mmH2
H2O
1/2O2
Oxygen reduction reaction1/2O2 + 2H+ + 2e- → H2O
Hydrogen oxidation reactionH2 → 2H+ + 2e-
Hyundai ix Tucson FCEV• 100 kW PEFC• Li-ion battery (21 kW)• Range: 650 km at 70 MPa• Mileage: 72 mpgge combined
• High efficiency, long range, low emission fuel cell vehicles• Low temperature, high power density fuel cell• Acidic polymer electrolyte membrane• Pt and Pt-alloy catalyst
Toyota Mirai FCEV• 114 kW PEFC• Range: 650 km at 70 Mpa• 3 min refueling time• Mileage: 72 mpgge combined
Gas Diffusion Layer(GDL)
Pt catalyst
Carbon support
3-5 nm
40 nm H2OH+
O2
e-Agglomerate
Nafionbinder
Pores• Litster and McLean, J. Power Sources, 130, 61-76, 2004.• Uchida et al., J. Electrochem. Soc, 142, 4143-4149, 1995.
Polymer Electrolyte Fuel Cell (PEFC) CathodesCarbon supported Pt catalyst
Oxygen reduction reaction (ORR)
1
2
3
4
Imaging Catalyst Aggregates 50 nm features on Pt/C aggregates are visible in nano-CT
Vulcan XC-72R aggregate
Soboleva et al., Applied Materials & Interfaces, 2010
SEM – After sputtering 20 nm Au coating1 2
3 4
NanoCT – Before Au sputtering
Carbon supported Pt aggregates with Nafion coating
Kapton film
1
2
3
4
Non-Precious Metal Catalyst (NPMC) Cathodes
SEM: K. More & D. Cullen, ORNL
CM-PANI-Fe (35% Nafion)
CM-PANI-Fe: Air/H2 at 1 atm, 80oC
Images: Zelenay et al., DOE AMR, 2014
Projected stack cost
Pt price instability (2000-2013)
PI: Piotr Zelenay
• Significant opportunity for reduced PEFC cost with non-precious metal cathodes (NPMCs)
• Great improvements in activity and durability with carbon-supported nitrogen transition metal catalysts (e.g., C-Fe-N, C-Co-N)
• Transport increasingly important• Low volumetric activity relative to Pt/C
• Thick electrodes (50 – 100 µm)
• Large transport losses
• New NPMC electrode structures
• Model development and transport loss analysis
• Effect of Nafion of loading
Carbon supported Cyanamide-Polyaniline-Fe Catalyst
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Two high temperature heat treatment synthesisFeN4 or Fe2N5 moieties embedded into carbon
High microporesurface area
Lefevre et al., Science, 2009
Holby et al., J. Phys. Chem. C, 2014
Nano-CT Imaging of NPMC Cathode
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• Multi-mode imaging combining separate phase contrast and absorption contrast scans. Large field of view (65 nm voxels).
• Two 3D images are registered and overlaid in post-processing
• Grey scale slices shows carbon structure from Zernike phase contrast scan.
• Orange volume rendering shows high Z Fe from absorption contrast scan.
Effect of Nafion Loading on 1 atm Air Performance
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• Low Nafion loading reduces activity Lower voltage at low current
• High Nafion loading increase transport loss Large voltage drop at high current
0 1 2 3 4 5 60
5
10
15
20
Diameter [(m)]
Vo
lum
e P
erc
en
tag
e [%
]
CM-PANI-Fe 35wt% Nafion
CM-PANI-Fe 50wt% Nafion
CM-PANI-Fe 60wt% Nafion
0.05 0.1 0.15 0.2 0.25 0.3 0.350
2
4
6
8
10
12
14
Diameter [(m)]
Vo
lum
e P
erc
en
tag
e [%
]
CM-PANI-Fe 35wt% Nafion
CM-PANI-Fe 50wt% Nafion
CM-PANI-Fe 60wt% Nafion
Hierarchical Morphology Properties
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• Wide variety of morphological properties characterized, including effective length scales• Characterization effective diameter of various electrodes for pore and solid domains
0.1 0.2 0.3 0.40
2
4
6
8
10
12
Diameter [(m)]
Vo
lum
e P
erc
en
tag
e [%
]
CM-PANI-FE 35wt% Nafion
CM-PANI-FE 50wt% Nafion
CM-PANI-FE 60wt% Nafion
0 2 4 6 80
5
10
15
20
25
30
35
Diameter [(m)]
Vo
lum
e P
erc
en
tag
e [%
]
CM-PANI-FE 35wt% Nafion
CM-PANI-FE 50wt% Nafion
CM-PANI-FE 60wt% Nafion
Pore SolidLarge Field of View Scan
High Resolution Scan
10 µm
5 µm
Macro-pore porosities35% wt. = 0.40 50% wt. = 0.1760% wt. = 0.21
Macro-solid vol. fractions35% wt. = 0.60 50% wt. = 0.8360% wt. = 0.79
Meso-pore porosities35% wt. = 0.4750% wt. = 0.4960% wt. = 0.46
Meso-solid vol. fractions35% wt. = 0.5350% wt. = 0.5160% wt. = 0.54
65 nm voxels
16 nm voxels
Imaging 3D Nafion Distribution• Ion-exchange protons (H+) in Nafion with
high Z cesium ions (Cs+) by submerging sample in Cs2SO4 solution
• Imaged in phase and absorption contrast mode
• Absorption contrast shows Nafion (red/orange) and Fe (yellow/white)
• Phase contrast shows solid structure (black/grey)
32
Ion exchange Nafion with Cs2SO4
H+ → Cs+
35% wt versus 60% wt.
33
Intensities normalized for density comparison by gold fiducial and air absorption intensity
35% 60%
3D Nafion Distribution with Varying Loading
34
• Nafion absorption intensity normalized by gold fiducial and air intensity values for comparison between scans.
• Ratios of volume integration of normalized intensity matches loading ratios
• Low penetration of Nafion into catalyst particles consistent with lower observed activity
35 % wt. Nafion loading 60 % wt. Nafion loading
Computational PEFC Model with NPMC Cathode• Two-dimensional PEFC model of channel
cross-section
• Established models for multi-phase PEFC simulations
• Special treatment of NPMC using multi-scale characterization from nano-CT
• Implementation of a microstructurallyconsistent agglomerate model
Schematic of model domains and distribution of physical models
10 µm
AgglomerateNano-CTimage
Catalyst agglomerate model
35
Characterizing Hierarchical Electrode Structures
CM-PANI-Fe 35% wt Nafion
Large field of view scan processed to extract only large marcoporesLight gray = pore/voidDark grey = porous solid
Macropore & agglomerate
Micropore & intra-agglomerate
Computed microporeand intra-agglomerate parameters
• Two length-scales of imaging and analysis
• Macropore & agglomerate
• Micropore & intra-agglomerate
• Separated morphological characterization
• Characterized electrodes with 35% and 50% wt. Nafion
36
Agglomerate Identification and Sizing
Slide 37
Large Field of View Nano-CT ImageMorphological separation of distinct
solid domains
0 2 4 6 80
5
10
15
20
25
30
35
Diameter [m]
Vo
lum
e P
erc
en
tag
e [%
]
CM-PANI-FE 35wt% Nafion
CM-PANI-FE 50wt% Nafion
Macro-solid vol. fractions35% wt. = 0.60 50% wt. = 0.83
Size distributions
Diameter from volume to surface area ratio of each separated solid
Macropore volume fraction• 40% for 35% wt. Nafion• 17% for 50% wt. Nafion
2
1
, ,2
,
2, ,
1 14
i agg i aggO
i ORR
r c agg lO Oagg i agg i agg
r rc RTj F
H E k D ka r r
d
d d
NPMC Agglomerate Model
Inputs from ex-situ& in-situ data
,
3
i agg c
eff
r k
D
Thiele modulus
O2 diffusivity in agglomerate updated for micro-pore liquid saturation
Inputs from imaging
1 1 1
tanh 3 3rE
Effectiveness factor
Ratio of actual to ideal reaction rate
2
1exp exp
4
s s c c cc ref
Oagg
aR J F Fk
c RT RTF
Transport-free reaction rate constant Butler-Volmer eqn
Film diffusion + interface
Henry’s law
Volumetric ORR current density in each size binORR in Agg.
0 2 4 6 80
5
10
15
20
25
30
35
Diameter [(m)]
Vo
lum
e P
erc
en
tag
e [%
]
CM-PANI-FE 35wt% Nafion
CM-PANI-FE 50wt% Nafion
CM-PANI-FE 60wt% Nafion
Volumetric catalyst activity in solidRs Js = Site density*Site activity
Agglomerate model applied to size distribution
Idealized model of transport and reaction in dense region
,ORR i i ORRj V j
Volumetric ORR is sum of volume fraction and ORR current of each size in histogram
Agglomerate size distribution from nano-CT
Method: Epting and Litster, Int. J. Hydrogen Energy, 2012 38
Effective Diffusivity inside Agglomerates
8 ( )
3
pore
Kn pore
d RTD d
M
1 1 1( ) ( )DG pore Kn pore mD d D d D
Bosanquet formulation for diffusivity in pore
Knudsen diffusivity
0DGD c
• Pore-scale simulation of Knudsen transition-regime diffusion in micro-pore domain
• Effective intra-agglomerate diffusivity
CM-PANI-Fe 35% wt Nafion
Local diffusivity based on pore size, DDG
Concentration and pathlines
Method: Litster et al., Fuel Cells, 2013
Micropore size distribution
Integrated flux over faces for given concentration difference provides effective diffusivity
Diffusion with non-uniform diffusivity
eff
Face
eff
Face
cJ jdA AD
L
LD jdA
A c
D
D
39
Results and Comparison to Experiment• Simulations for 35% wt and 50% wt Nafion loading
• Only morphological parameters modified according to characterization (table)
• Consistent trends with experiments and similar limiting currents
• Increased mass transport loss at high current density with 50 % wt. Nafion
Simulation
Experiment
4 mg/cm2 CM-PANI-Fe85 µm thick cathode80oC, 1 atm H2/AirNafion 211
40
Effect of Agglomerate Size Distribution
Slide 41
Distribution of agglomerate diameter
Single meandiameter2.4 [µm]
0 2 4 6 80
5
10
15
20
25
30
35
Diameter [m]
Vo
lum
e P
erc
en
tag
e [%
]
CM-PANI-FE 35wt% Nafion
CM-PANI-FE 50wt% Nafion
Macro-solid vol. fractions35% wt. = 0.60 50% wt. = 0.83
2.4 µm agglomerates
• Using single, volume-averaged diameter significantly changes predicted performance
• Significant losses in large agglomerates
Surface area based diameter
Lithium ion batteries imaging
42
Image: http://www.scs.illinois.edu/murphy/Ran/research/energystorage.html
• Battery collaborations with Professors Jay Whitacre and Venkat Viswanathan at CMU
• Evaluation of material structure and degradation mechanisms
• Imaging of carbon additive distribution in cathode in addition to higher Z active material
• Imaging of commercial graphite anodes at beginning of life and end of life
• Current work on electroplating and dendrite phenomena with metal anodes and graphite
Commercial LiCoO2 Cathode (MTI)
Slide 43
• LiCoO2 active particles (95.7 %)• Carbon black conductive additive• PVdF binder• 80 µm thick electrode
• Study on distribution and connectivity of carbon conductive additive
• Prior work focused on absorption• Influences current distribution and
mechanical integrity
Material Separation by Imaging Mode
Slide 44
Absorption Contrast Phase ContrastLiCoO2
Carbon + PVdF
Attenuations lengths at 8 keV: LiCoO2 = 10 µm and carbon = 1 mm
Transmission radiographs in high resolution mode
Combined Phase and Absorption Images
45
Komini Babu, Mohammed, Whitacre, and Litster, J. Power Sources, 2015
• Images are registered and overlaid in post processing
• Separate segmentation of absorption image enables clean segmentation of LiCoO2 particles
Analysis of LiCoO2/carbon Additive Contract
Slide 46
Distribution of LiCoO2/Carbon contact area sizePhase contrast artifacts require image processing to identify and segment LiCoO2/carbon contact
Segmented carbon additive with contact correction
Komini Babu, Mohammed, Whitacre, and Litster, J. Power Sources, 2015
• Evaluate electrode connectivity and mechanical properties
• Analysis of current hot spots on active material surface
Graphite Anode Degradation Imaging
47
• Imaging of automotive-relevant commercial 18650 Li-ion battery
• Imaged at beginning of life (BOL) and at end of life (EOL)
• Evaluation of morphology change, including solid electrolyte interphase growth and transport restriction at EOL
• Depth of discharge effect
BOL
EOL
Zernike Phase Contrast Imaging
48
Beginning of Life End of Life
Fine pore structure filled in end of life image
Absorption contrast imaging for inorganic SEI signal
49
Absorption contrast showing higher Z components in SEI Absorption (green) combined with phase contrast
Identification of excessive SEI coating on pore walls and filling of smaller internal pore
Water and Transport Visualization
Slide 50
Air
65 µm
Paper edge
Paper fibers
Water filled paper
Radiographs of water drying from common paper (25 s exposure)
Summary• Application of nano-CT to broad range of electrochemical
energy materials
• Multi-mode imaging of materials with high and low Z components
• Material morphological characterization and phase mapping
• Synthesis and fabrication evaluation
• Micro-scale transport simulation
• Transport property extraction for macro-scale device modeling
Future: In-operando (4D) imaging of electrochemical cells
51
AcknowledgmentsStudents: Siddharth Komini Babu, Sarah Frisco, Billy Epting, Pratiti Mandal, Arjun Kumar, Tim Hsu, and Alex Mohammed
Collaborators: Hoon Chung and Piotr Zelenay (LANL); Paul Salvador, Jay Whitacre, Ryan Sullivan, and Jessica Zhang (CMU)
52
US National Science Foundation (NSF) • NSF CAREER Award for electrode analysis• Major Research Infrastructure award for nano-CT acquisition
Co-Pis: Marc De Graef, Gary Fedder, Adam Feinberg, Ryan Sullivan
US Dept. of Energy, EERE• Nano-CT characterization of non-PGM PEFC cathodes
• Li-ion battery imaging• SOFC microstructural analysis
SOFC microstructural analysis