ema5001 lecture 24 transformation kinetics for sic …...ema 5001 physical properties of materials...

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© 2016 by Zhe Cheng EMA5001 Lecture 24 Transformation Kinetics for SiC Formation

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Page 1: EMA5001 Lecture 24 Transformation Kinetics for SiC …...EMA 5001 Physical Properties of Materials Zhe Cheng (2016) 24 Transform Kinetics – SiC Formation Rate-Limiting Step & Activation

© 2016 by Zhe Cheng

EMA5001 Lecture 24

Transformation Kinetics for SiC

Formation

Page 2: EMA5001 Lecture 24 Transformation Kinetics for SiC …...EMA 5001 Physical Properties of Materials Zhe Cheng (2016) 24 Transform Kinetics – SiC Formation Rate-Limiting Step & Activation

EMA 5001 Physical Properties of Materials Zhe Cheng (2016) 24 Transform Kinetics – SiC Formation

Kinetics for the Formation of Nano SiC

via Carbothermal Reduction Reaction

Overall Reaction: SiO2 + 3C = SiC + 2CO

2

Nano-scale SiO2-C Mixture

Cheng, Z., MS Thesis, 2004

Page 3: EMA5001 Lecture 24 Transformation Kinetics for SiC …...EMA 5001 Physical Properties of Materials Zhe Cheng (2016) 24 Transform Kinetics – SiC Formation Rate-Limiting Step & Activation

EMA 5001 Physical Properties of Materials Zhe Cheng (2016) 24 Transform Kinetics – SiC Formation

Confirmation of SiO &

the Two-Step Reaction

3

EDX

XRD of Vapor Deposits

SiO = Si + SiO2

Cheng, Z., MS Thesis, 2004

Page 4: EMA5001 Lecture 24 Transformation Kinetics for SiC …...EMA 5001 Physical Properties of Materials Zhe Cheng (2016) 24 Transform Kinetics – SiC Formation Rate-Limiting Step & Activation

EMA 5001 Physical Properties of Materials Zhe Cheng (2016) 24 Transform Kinetics – SiC Formation

Reaction Kinetics from Weight Change

Best fit to Interface-controlled “Grow in”/”Shrinking Core” model

4

Weight Loss Data Fitting to Interface-controlled

“shrinking-core” model

Cheng, Z., MS Thesis, 2004

Page 5: EMA5001 Lecture 24 Transformation Kinetics for SiC …...EMA 5001 Physical Properties of Materials Zhe Cheng (2016) 24 Transform Kinetics – SiC Formation Rate-Limiting Step & Activation

EMA 5001 Physical Properties of Materials Zhe Cheng (2016) 24 Transform Kinetics – SiC Formation

Comparison with Other Kinetic Models

Good fit also to Nucleation – Growth model

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Nucleation – Growth Model Diffusion-Controlled “Grow In”

Model – Jander’s Equation

Site saturation, 1D growth

Constant nucleation - no growth Cheng, Z., MS Thesis, 2004

Also good fit, n =1

Very poor fit

Page 6: EMA5001 Lecture 24 Transformation Kinetics for SiC …...EMA 5001 Physical Properties of Materials Zhe Cheng (2016) 24 Transform Kinetics – SiC Formation Rate-Limiting Step & Activation

EMA 5001 Physical Properties of Materials Zhe Cheng (2016) 24 Transform Kinetics – SiC Formation

Microstructure Changes to Confirm

Reaction Model

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Essentially very small

growth of SiC

crystallites during

CTR reaction

at intermediate range

Growth of porosity

matching

expectation

Cheng, Z., MS Thesis, 2004

Page 7: EMA5001 Lecture 24 Transformation Kinetics for SiC …...EMA 5001 Physical Properties of Materials Zhe Cheng (2016) 24 Transform Kinetics – SiC Formation Rate-Limiting Step & Activation

EMA 5001 Physical Properties of Materials Zhe Cheng (2016) 24 Transform Kinetics – SiC Formation

Rate-Limiting Step & Activation Energy

Reaction is limited by sub-step of

SiO + C = SiC + 2CO

For the following reasons

Always have SiO fomartion

Shape of SiC dependent largely

on C size and not SiO2 size

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Cheng, Z., MS Thesis, 2004

Page 8: EMA5001 Lecture 24 Transformation Kinetics for SiC …...EMA 5001 Physical Properties of Materials Zhe Cheng (2016) 24 Transform Kinetics – SiC Formation Rate-Limiting Step & Activation

EMA 5001 Physical Properties of Materials Zhe Cheng (2016) 24 Transform Kinetics – SiC Formation

TEM

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BEFORE Reaction

f = 35%

BEFORE Reaction

f = 63%

Cheng, Z., MS Thesis, 2004 Little grain growth during reaction

Page 9: EMA5001 Lecture 24 Transformation Kinetics for SiC …...EMA 5001 Physical Properties of Materials Zhe Cheng (2016) 24 Transform Kinetics – SiC Formation Rate-Limiting Step & Activation

EMA 5001 Physical Properties of Materials Zhe Cheng (2016) 24 Transform Kinetics – SiC Formation

SEM

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BEFORE CTR Reaction AFTER CTR Reaction

f = 0%

Almost fully dense

f = 95%

Highly porous