A Practical Guide to Microstructural Analysis Cementitious Materials PDF

A Practical Guide To Microstructural Analysis Of Cementitious Materials Pdf offers in-depth knowledge for understanding cement hydration and microstructure. At CONDUCT.EDU.VN, we provide a comprehensive analysis to optimize materials using characterization techniques. Discover practical applications and interpretation methods to enhance your understanding with insights into cement chemistry and hydration processes, providing a robust foundation for both academic study and practical application, all while focusing on cement microstructure analysis and cement hydration analysis.

1. Introduction to Microstructural Analysis of Cementitious Materials

Cementitious materials are vital components in construction, and their performance is intimately linked to their microstructure. Microstructural analysis involves using various techniques to examine the structure and composition of these materials at a microscopic level. This understanding is crucial for predicting and enhancing their durability, strength, and overall performance. Techniques like scanning electron microscopy (SEM), X-ray diffraction (XRD), and mercury intrusion porosimetry (MIP) are commonly employed to analyze these materials.

1.1. Importance of Microstructural Analysis

Microstructural analysis helps in:

  • Understanding hydration processes: How cement reacts with water to form a hardened structure.
  • Identifying phases: Determining the types and amounts of different compounds present.
  • Evaluating porosity: Assessing the size, distribution, and connectivity of pores.
  • Detecting defects: Identifying cracks, voids, and other imperfections that can affect performance.
  • Optimizing material design: Tailoring the microstructure to achieve desired properties.

1.2. Overview of Cementitious Materials

Cementitious materials include cement, concrete, mortar, and other similar substances used in construction. These materials consist of a binder (cement) and aggregates (sand, gravel, or crushed stone), which are mixed with water to form a workable paste that hardens over time.

2. Understanding Cement Chemistry and Hydration

Cement chemistry and hydration are fundamental to understanding the microstructure of cementitious materials. The chemical reactions that occur during hydration determine the type and amount of hydration products formed, which in turn influence the microstructure and properties of the material.

2.1. Composition of Cement

Cement primarily consists of calcium silicates, aluminates, and ferrites. The most important compounds are:

  • Tricalcium silicate (C3S): Hydrates rapidly and contributes to early strength.
  • Dicalcium silicate (C2S): Hydrates more slowly and contributes to later strength.
  • Tricalcium aluminate (C3A): Reacts quickly with water and gypsum to form ettringite.
  • Tetracalcium aluminoferrite (C4AF): Reacts with water to form hydration products.

2.2. Hydration Process

The hydration of cement involves a series of complex chemical reactions. When cement is mixed with water, the following processes occur:

  1. Dissolution: The cement compounds dissolve in water, releasing ions into the solution.
  2. Nucleation: Hydration products begin to form as ions react with each other.
  3. Growth: The hydration products grow and precipitate, forming a solid structure.
  4. Hardening: The paste gradually hardens as the hydration products fill the space between the cement particles.

2.3. Hydration Products

The main hydration products are:

  • Calcium silicate hydrate (C-S-H): The primary binding phase, responsible for strength and durability.
  • Calcium hydroxide (CH): A byproduct of C3S and C2S hydration, contributing to alkalinity.
  • Ettringite: A calcium aluminum sulfate hydrate, formed during the early stages of hydration.
  • Monosulfate: A calcium aluminum sulfate hydrate, formed later in the hydration process.

3. Sample Preparation Techniques

Proper sample preparation is crucial for accurate microstructural analysis. The preparation method depends on the specific technique being used and the type of material being analyzed.

3.1. Sampling Methods

  • Representative sampling: Ensure the sample is representative of the entire material.
  • Core sampling: Extract a cylindrical core from the structure.
  • Powder sampling: Grind the material into a fine powder for analysis.

3.2. Cutting and Grinding

  • Diamond saw: Use a diamond saw to cut the sample to the desired size.
  • Grinding: Grind the sample surface to obtain a smooth and flat surface.

3.3. Polishing

  • Polishing cloths: Use polishing cloths with progressively finer abrasives to remove scratches and imperfections.
  • Diamond paste: Use diamond paste for final polishing to achieve a mirror-like finish.

3.4. Drying

  • Oven drying: Dry the sample in an oven at a controlled temperature to remove moisture.
  • Vacuum drying: Use a vacuum chamber to remove moisture more quickly and effectively.

3.5. Impregnation

  • Epoxy resin: Impregnate the sample with epoxy resin to fill pores and stabilize the structure.
  • Vacuum impregnation: Use a vacuum chamber to ensure thorough impregnation.

4. Microscopic Techniques

Microscopic techniques are essential for directly observing the microstructure of cementitious materials. These techniques provide valuable information about the size, shape, distribution, and morphology of the various phases present.

4.1. Optical Microscopy

Optical microscopy involves using visible light to illuminate and magnify the sample. It is a simple and versatile technique that can be used to observe the microstructure of cementitious materials.

4.1.1. Principles of Optical Microscopy

  • Magnification: Lenses are used to magnify the image of the sample.
  • Resolution: The ability to distinguish between two closely spaced objects.
  • Contrast: The difference in brightness or color between different features in the sample.

4.1.2. Applications in Cementitious Materials

  • Phase identification: Identifying different phases based on their optical properties.
  • Crack detection: Detecting cracks and other defects in the microstructure.
  • Air void analysis: Assessing the size, shape, and distribution of air voids.

4.2. Scanning Electron Microscopy (SEM)

Scanning electron microscopy (SEM) uses a focused beam of electrons to scan the surface of the sample. The electrons interact with the sample, producing various signals that can be used to create an image of the microstructure.

4.2.1. Principles of SEM

  • Electron beam: A focused beam of electrons is scanned across the sample surface.
  • Secondary electrons: Electrons emitted from the sample surface, used to create an image of the topography.
  • Backscattered electrons: Electrons that are reflected from the sample, used to create an image of the composition.

4.2.2. Sample Preparation for SEM

  • Coating: Coat the sample with a thin layer of conductive material (e.g., gold, platinum) to prevent charging.
  • Drying: Ensure the sample is completely dry to prevent artifacts.

4.2.3. Applications in Cementitious Materials

  • High-resolution imaging: Obtaining high-resolution images of the microstructure.
  • Phase identification: Identifying different phases based on their morphology and composition.
  • Fracture analysis: Studying the fracture surfaces of cementitious materials.

4.3. Transmission Electron Microscopy (TEM)

Transmission electron microscopy (TEM) involves transmitting a beam of electrons through a thin sample. The electrons interact with the sample, producing an image that provides information about the internal structure.

4.3.1. Principles of TEM

  • Electron beam: A beam of electrons is transmitted through the sample.
  • Diffraction: Electrons are diffracted by the sample, providing information about the crystal structure.
  • Imaging: The transmitted electrons are used to create an image of the microstructure.

4.3.2. Sample Preparation for TEM

  • Thinning: Thin the sample to a thickness of less than 100 nm.
  • Grinding and polishing: Grind and polish the sample to a smooth surface.
  • Ion milling: Use an ion beam to remove material and create a thin section.

4.3.3. Applications in Cementitious Materials

  • High-resolution imaging: Obtaining high-resolution images of the microstructure.
  • Crystal structure analysis: Determining the crystal structure of different phases.
  • Defect analysis: Identifying defects such as dislocations and stacking faults.

5. X-Ray Techniques

X-ray techniques are powerful tools for analyzing the composition and structure of cementitious materials. These techniques involve irradiating the sample with X-rays and analyzing the resulting diffraction or scattering patterns.

5.1. X-Ray Diffraction (XRD)

X-ray diffraction (XRD) is a technique that uses X-rays to determine the crystal structure and composition of a material.

5.1.1. Principles of XRD

  • X-ray source: An X-ray tube generates a beam of X-rays.
  • Diffraction: The X-rays are diffracted by the crystal lattice of the sample.
  • Detector: A detector measures the intensity of the diffracted X-rays.

5.1.2. Sample Preparation for XRD

  • Powder preparation: Grind the sample into a fine powder.
  • Mounting: Mount the powder on a sample holder.

5.1.3. Applications in Cementitious Materials

  • Phase identification: Identifying the crystalline phases present in the sample.
  • Quantitative analysis: Determining the amounts of different phases.
  • Crystallinity determination: Assessing the degree of crystallinity.

5.2. X-Ray Fluorescence (XRF)

X-ray fluorescence (XRF) is a technique that uses X-rays to determine the elemental composition of a material.

5.2.1. Principles of XRF

  • X-ray source: An X-ray tube generates a beam of X-rays.
  • Excitation: The X-rays excite the atoms in the sample, causing them to emit fluorescent X-rays.
  • Detector: A detector measures the energy and intensity of the fluorescent X-rays.

5.2.2. Sample Preparation for XRF

  • Powder preparation: Grind the sample into a fine powder.
  • Pellet preparation: Press the powder into a pellet.

5.2.3. Applications in Cementitious Materials

  • Elemental analysis: Determining the concentrations of different elements.
  • Compositional analysis: Assessing the overall composition of the material.

6. Porosity Measurement Techniques

Porosity is a critical property of cementitious materials, affecting their strength, durability, and permeability. Several techniques are available for measuring the porosity of these materials.

6.1. Mercury Intrusion Porosimetry (MIP)

Mercury intrusion porosimetry (MIP) is a technique that measures the size and distribution of pores by forcing mercury into the pores under pressure.

6.1.1. Principles of MIP

  • Mercury intrusion: Mercury is forced into the pores of the sample under pressure.
  • Pressure measurement: The pressure required to intrude mercury into the pores is measured.
  • Pore size calculation: The pore size is calculated from the pressure using the Washburn equation.

6.1.2. Sample Preparation for MIP

  • Drying: Dry the sample to remove moisture.
  • Weighing: Weigh the sample to determine its mass.

6.1.3. Applications in Cementitious Materials

  • Pore size distribution: Determining the distribution of pore sizes.
  • Total porosity: Measuring the total porosity of the material.
  • Connectivity analysis: Assessing the connectivity of the pores.

6.2. Gas Adsorption

Gas adsorption is a technique that measures the surface area and pore size distribution by adsorbing gas molecules onto the surface of the material.

6.2.1. Principles of Gas Adsorption

  • Gas adsorption: Gas molecules are adsorbed onto the surface of the sample.
  • Pressure measurement: The pressure of the gas is measured.
  • Surface area calculation: The surface area is calculated from the amount of gas adsorbed.
  • Pore size calculation: The pore size distribution is calculated from the adsorption isotherm.

6.2.2. Sample Preparation for Gas Adsorption

  • Drying: Dry the sample to remove moisture.
  • Degassing: Degas the sample to remove adsorbed gases.

6.2.3. Applications in Cementitious Materials

  • Surface area measurement: Measuring the surface area of the material.
  • Pore size distribution: Determining the distribution of pore sizes.
  • Total porosity: Measuring the total porosity of the material.

6.3. Helium Pycnometry

Helium pycnometry is a technique used to determine the volume of solids, particularly powders or porous materials. It relies on the principle of gas displacement, using helium gas to measure the volume accurately.

6.3.1 Principles of Helium Pycnometry

  • Gas Displacement: Helium gas is introduced into a chamber containing the sample.
  • Volume Measurement: The volume of helium displaced by the sample is measured.
  • Density Calculation: The volume is used to calculate the density of the sample.

6.3.2 Sample Preparation for Helium Pycnometry

  • Drying: Dry the sample to remove moisture.
  • Weighing: Weigh the sample to determine its mass.

6.3.3 Applications in Cementitious Materials

  • Solid Volume Measurement: Accurate determination of the solid volume of cementitious materials.
  • Density Calculation: Calculation of the density based on the measured volume.
  • Porosity Estimation: Estimation of porosity when combined with bulk volume measurements.

7. Thermal Analysis Techniques

Thermal analysis techniques measure the physical and chemical properties of materials as a function of temperature. These techniques can provide valuable information about the composition, stability, and reactivity of cementitious materials.

7.1. Thermogravimetric Analysis (TGA)

Thermogravimetric analysis (TGA) measures the change in mass of a sample as a function of temperature.

7.1.1. Principles of TGA

  • Heating: The sample is heated at a controlled rate.
  • Mass measurement: The mass of the sample is continuously measured.
  • Weight loss analysis: The weight loss is analyzed to determine the composition and stability of the material.

7.1.2. Sample Preparation for TGA

  • Powder preparation: Grind the sample into a fine powder.
  • Weighing: Weigh the sample to determine its mass.

7.1.3. Applications in Cementitious Materials

  • Compositional analysis: Determining the amounts of different phases.
  • Dehydration analysis: Studying the dehydration behavior of hydrated phases.
  • Thermal stability analysis: Assessing the thermal stability of the material.

7.2. Differential Scanning Calorimetry (DSC)

Differential scanning calorimetry (DSC) measures the heat flow into or out of a sample as a function of temperature.

7.2.1. Principles of DSC

  • Heating: The sample and a reference material are heated at a controlled rate.
  • Heat flow measurement: The heat flow into or out of the sample is measured.
  • Thermal event analysis: The heat flow is analyzed to detect thermal events such as phase transitions, melting, and crystallization.

7.2.2. Sample Preparation for DSC

  • Powder preparation: Grind the sample into a fine powder.
  • Sealing: Seal the sample in a DSC pan.

7.2.3. Applications in Cementitious Materials

  • Phase transition analysis: Detecting phase transitions such as melting and crystallization.
  • Reaction kinetics analysis: Studying the kinetics of chemical reactions.
  • Thermal stability analysis: Assessing the thermal stability of the material.

8. Spectroscopic Techniques

Spectroscopic techniques involve analyzing the interaction of electromagnetic radiation with matter. These techniques can provide information about the chemical composition, bonding, and electronic structure of cementitious materials.

8.1. Fourier Transform Infrared Spectroscopy (FTIR)

Fourier transform infrared spectroscopy (FTIR) measures the absorption of infrared radiation by a sample.

8.1.1. Principles of FTIR

  • Infrared source: An infrared source generates a beam of infrared radiation.
  • Interferometer: An interferometer splits the beam into two paths and recombines them, creating an interference pattern.
  • Detector: A detector measures the intensity of the infrared radiation.
  • Absorption analysis: The absorption of infrared radiation is analyzed to determine the chemical composition and bonding of the material.

8.1.2. Sample Preparation for FTIR

  • Powder preparation: Grind the sample into a fine powder.
  • Mixing: Mix the powder with a transparent matrix such as potassium bromide (KBr).
  • Pellet preparation: Press the mixture into a pellet.

8.1.3. Applications in Cementitious Materials

  • Chemical composition analysis: Identifying the chemical compounds present in the sample.
  • Bonding analysis: Determining the types of chemical bonds present.
  • Hydration product identification: Identifying the hydration products formed during cement hydration.

8.2. Nuclear Magnetic Resonance (NMR) Spectroscopy

Nuclear magnetic resonance (NMR) spectroscopy measures the absorption of radiofrequency radiation by atomic nuclei in a magnetic field.

8.2.1. Principles of NMR

  • Magnetic field: The sample is placed in a strong magnetic field.
  • Radiofrequency radiation: The sample is irradiated with radiofrequency radiation.
  • Absorption analysis: The absorption of radiofrequency radiation is analyzed to determine the chemical environment of the atomic nuclei.

8.2.2. Sample Preparation for NMR

  • Powder preparation: Grind the sample into a fine powder.
  • Dissolution: Dissolve the powder in a suitable solvent.

8.2.3. Applications in Cementitious Materials

  • Structural analysis: Determining the structure of the material.
  • Compositional analysis: Identifying the chemical compounds present in the sample.
  • Hydration product analysis: Studying the hydration products formed during cement hydration.

9. Advanced Techniques

9.1. Raman Spectroscopy

Raman Spectroscopy is a spectroscopic technique used to observe vibrational, rotational, and other low-frequency modes in a system. It relies on inelastic scattering of monochromatic light, usually from a laser in the visible, near-infrared, or near-ultraviolet range.

9.1.1. Principles of Raman Spectroscopy

  • Laser Excitation: A laser beam is directed onto the sample.
  • Inelastic Scattering: The photons from the laser interact with the sample, leading to a change in energy and a shift in wavelength.
  • Spectral Analysis: The scattered light is collected and analyzed to provide information about the vibrational modes of the material.

9.1.2. Sample Preparation for Raman Spectroscopy

  • Minimal Preparation: Often, minimal sample preparation is required.
  • Direct Analysis: Samples can be analyzed directly in solid, liquid, or gaseous form.
  • Optical Clarity: For enhanced results, optically clear samples are preferred.

9.1.3. Applications in Cementitious Materials

  • Phase Identification: Identifying various phases present in cementitious materials.
  • Stress Analysis: Analyzing stress distribution within the material.
  • Hydration Studies: Investigating the hydration process and identifying hydration products.

9.2. Atomic Force Microscopy (AFM)

Atomic Force Microscopy (AFM) is a technique used to image surfaces at the atomic level. It works by scanning a sharp tip over a surface and measuring the forces between the tip and the surface.

9.2.1. Principles of AFM

  • Sharp Tip: A sharp tip is used to scan the surface.
  • Force Measurement: The forces between the tip and the surface are measured.
  • Image Creation: An image of the surface is created based on the measured forces.

9.2.2. Sample Preparation for AFM

  • Smooth Surface: A smooth surface is required for optimal imaging.
  • Cleaning: The surface must be clean and free of contaminants.

9.2.3. Applications in Cementitious Materials

  • High-Resolution Imaging: Providing high-resolution images of cement microstructure.
  • Surface Roughness Measurement: Measuring the surface roughness of cementitious materials.
  • Nano-Scale Analysis: Analyzing the material at the nano-scale level.

9.3. Focused Ion Beam (FIB) Microscopy

Focused Ion Beam (FIB) Microscopy is a technique used to image and modify materials at the micro- and nano-scales. It uses a focused beam of ions to sputter material from the surface, allowing for the creation of cross-sections and the preparation of samples for TEM analysis.

9.3.1. Principles of FIB

  • Ion Beam: A focused beam of ions is used to sputter material.
  • Cross-Sectioning: Creating cross-sections of the material.
  • Imaging: Imaging the surface of the material.

9.3.2. Sample Preparation for FIB

  • Coating: Coating the sample with a conductive layer.
  • Mounting: Mounting the sample on a sample holder.

9.3.3. Applications in Cementitious Materials

  • Cross-Sectional Analysis: Analyzing the cross-sectional microstructure of cementitious materials.
  • TEM Sample Preparation: Preparing samples for TEM analysis.
  • Microstructural Modification: Modifying the microstructure of the material.

10. Case Studies in Microstructural Analysis

10.1. Durability of Concrete

Microstructural analysis plays a crucial role in assessing and improving the durability of concrete. By examining the pore structure, phase composition, and presence of defects, researchers can identify factors that contribute to degradation.

Example: Analyzing concrete samples exposed to chloride environments can reveal the ingress of chloride ions and their effect on the microstructure, leading to corrosion of the reinforcing steel. Techniques like SEM and XRD can identify the formation of chloride-containing phases and assess the extent of damage.

10.2. High-Performance Concrete

High-performance concrete (HPC) is designed to have enhanced strength, durability, and other properties. Microstructural analysis is essential for understanding the relationship between the composition and microstructure of HPC and its performance.

Example: Analyzing HPC samples containing supplementary cementitious materials (SCMs) such as fly ash or slag can reveal their effect on the microstructure, including pore refinement and increased C-S-H content. Techniques like MIP and TGA can quantify these changes and correlate them with improved performance.

10.3. Repair Materials

Microstructural analysis is also important for evaluating the performance of repair materials used to rehabilitate damaged concrete structures. By examining the interface between the repair material and the existing concrete, researchers can assess the bond strength and compatibility of the materials.

Example: Analyzing the interface between a cement-based repair material and the existing concrete can reveal the formation of a transition zone with altered microstructure and properties. Techniques like SEM and XRD can identify the presence of reaction products and assess the quality of the bond.

11. Data Analysis and Interpretation

Data analysis and interpretation are crucial steps in microstructural analysis. The data obtained from the various techniques must be carefully analyzed and interpreted to draw meaningful conclusions about the material’s microstructure and properties.

11.1. Quantitative Analysis

Quantitative analysis involves measuring the amounts of different phases or features in the microstructure. This can be done using techniques such as XRD, TGA, and image analysis.

11.2. Statistical Analysis

Statistical analysis involves using statistical methods to analyze the data and determine the significance of the results. This can be done using software packages such as SPSS or R.

11.3. Modeling

Modeling involves creating mathematical models to simulate the behavior of the material based on its microstructure. This can be done using software packages such as COMSOL or ABAQUS.

12. Future Trends in Microstructural Analysis

The field of microstructural analysis is constantly evolving, with new techniques and methods being developed. Some of the future trends in this field include:

12.1. Automation

Automation involves using robots and other automated systems to perform sample preparation and data acquisition. This can improve the efficiency and accuracy of the analysis.

12.2. Artificial Intelligence

Artificial intelligence (AI) involves using machine learning algorithms to analyze the data and identify patterns. This can help to automate the interpretation of the data and identify new insights.

12.3. Integration of Techniques

Combining multiple techniques to gain a more comprehensive understanding of the microstructure. For example, combining SEM with Raman spectroscopy to obtain both morphological and chemical information.

13. Practical Tips and Best Practices

13.1. Calibration and Standardization

Regular calibration of instruments and standardization of procedures are essential for ensuring the accuracy and reliability of the results.

13.2. Data Validation

Validating the data by comparing it with results obtained using other techniques or from literature sources can help to identify errors and ensure the accuracy of the results.

13.3. Documentation

Documenting all aspects of the analysis, including sample preparation, data acquisition, and data analysis, is essential for ensuring the reproducibility of the results and for future reference.

14. Ensuring Data Quality and Reliability

14.1. Control Samples

Using control samples with known properties to verify the accuracy and precision of the measurements.

14.2. Replicate Measurements

Performing replicate measurements to assess the variability of the results and to improve the statistical significance of the findings.

14.3. Blind Testing

Conducting blind tests, where the analyst is unaware of the sample identity, to minimize bias and ensure objectivity.

15. Conclusion

Microstructural analysis is an essential tool for understanding the properties and performance of cementitious materials. By using a combination of microscopic, X-ray, porosity measurement, thermal analysis, and spectroscopic techniques, researchers can gain valuable insights into the structure and composition of these materials. This knowledge can be used to optimize material design, improve durability, and develop new and innovative construction materials. The team at CONDUCT.EDU.VN is dedicated to bringing the latest research and best practices to professionals and students alike.

Facing challenges in understanding the complexities of cementitious materials? Visit CONDUCT.EDU.VN for in-depth guides and resources to help you navigate the intricacies of microstructural analysis. Whether you’re dealing with confusing standards, uncertain applications, or the need for comprehensive understanding, CONDUCT.EDU.VN offers the clarity and guidance you need. Contact us at 100 Ethics Plaza, Guideline City, CA 90210, United States, or reach out via Whatsapp at +1 (707) 555-1234. Let CONDUCT.EDU.VN be your trusted resource for all things related to conduct and ethical standards.

16. FAQ Section

Q1: What is microstructural analysis?

Microstructural analysis involves using various techniques to examine the structure and composition of materials at a microscopic level, providing insights into their properties and behavior.

Q2: Why is microstructural analysis important for cementitious materials?

It helps in understanding hydration processes, identifying phases, evaluating porosity, detecting defects, and optimizing material design to achieve desired properties.

Q3: What are the common techniques used in microstructural analysis?

Common techniques include optical microscopy, scanning electron microscopy (SEM), transmission electron microscopy (TEM), X-ray diffraction (XRD), mercury intrusion porosimetry (MIP), and thermogravimetric analysis (TGA).

Q4: How is sample preparation important for microstructural analysis?

Proper sample preparation ensures accurate results by providing a representative, smooth, and stable surface for analysis, free from contaminants.

Q5: What is the role of X-ray diffraction (XRD) in microstructural analysis?

XRD is used to determine the crystal structure and composition of materials by analyzing the diffraction patterns produced when X-rays interact with the sample.

Q6: How does mercury intrusion porosimetry (MIP) help in analyzing cementitious materials?

MIP measures the size and distribution of pores by forcing mercury into the pores under pressure, providing data on porosity and pore connectivity.

Q7: What information can be obtained from thermogravimetric analysis (TGA)?

TGA measures the change in mass of a sample as a function of temperature, providing information about the composition, stability, and reactivity of the material.

Q8: What is the purpose of thermal analysis techniques in microstructural analysis?

Thermal analysis techniques measure the physical and chemical properties of materials as a function of temperature, providing insights into their composition, stability, and reactivity.

Q9: How does scanning electron microscopy (SEM) contribute to microstructural analysis?

SEM uses a focused beam of electrons to scan the surface of the sample, producing high-resolution images of the microstructure and providing information about the morphology and composition of the material.

Q10: Where can I find more information and guidance on microstructural analysis?

Visit conduct.edu.vn for in-depth guides, resources, and expert insights to help you navigate the complexities of microstructural analysis.

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