Theory and Modeling of Cylindrical Nanostructures for High-Resolution Coverage Spectroscopy presents a new method for the evaluation of the coverage distribution of randomly deposited nanoparticles, such as single-walled carbon nanotubes and Ag nanowires over the substrate (oxides, SiO2, Si3N4, glass etc.), through height measurements performed by scanning probe microscopy techniques, like Atomic Force Microscopy (AFM).
The deposition of nanoparticles and how they aggregate in multiple layers over the substrate is one of the most important aspects of solution processed materials determining device performances. The coverage spectroscopy method presented in the book is strongly application oriented and has several implementations supporting advanced surface analysis through many scanning probe microscopy techniques. Therefore this book will be of great value to both materials scientists and physicists who conduct research in this area.
1. Chapter 1. Introduction and Physical Background - p. 1 2. Chapter 2. The Coverage Theory and the Delta Model Approximation - p. 19 3. 1. A Simplified Physical Model - p. 19 4. 2. Simulations - p. 28 5. 3. The Coverage Error Theory - p. 33 6. 4. Experimental Verification: Part I - p. 42 7. 5. A Model for Multiple Carbon Nanotube Intersections - p. 47 8. 6. Generalized Coverage Theory - p. 64 9. 7. Experimental Verification: Part II - p. 85 10. 8. Experimental Verification: Part III - p. 95 11. 9. Conclusions - p. 104 12. Chapter 3. Statistical Diameter Modeling and Height Density Functions - p. 105 13. 1. The General Equation of Height Density - p. 105 14. 2. Deterministic Diameter Density - p. 115 15. 3. Uniform Diameter Density - p. 116 16. 4. Rayleigh Diameter Density - p. 121 17. 5. Gaussian-Harmonic Diameter Density - p. 126 18. 6. Measured Diameter Density - p. 140 19. 7. Summary of Height Statistics - p. 143 20. 8. Gaussian Convolution With Height Densities - p. 145 21. 9. Comparison Among Statistical Models - p. 193 22. Chapter 4. The Generalized Coverage Theory and Experimental Verifications - p. 203 23. 1. Redefining the Coverage Physical Model - p. 203 24. 2. Coverage Solution: “DESIGN” Mode - p. 210 25. 3. Coverage Solution: MEASURE Mode - p. 218 26. 4. Carbon Nanotube With Random Planar Orientation - p. 225 27. 5. Experimental Verifications - p. 230 28. 6. Silver Nanowires - p. 303 29. 7. Conclusions - p. 310 30. Chapter 5. The Gaussian-Harmonic Model of the Substrate Height Density - p. 313 31. 1. Introduction - p. 313 32. 2. The Gaussian-Harmonic Height Density - p. 313 33. 3. Minimum Mean Square Error Fitting With Normalized Density - p. 318 34. 4. Application to Deterministic Height Densities - p. 333 35. 5. Application to Random Height Densities - p. 342 36. 6. Generalization to Not Normalized Samples - p. 361 37. 7. MATLAB Source Codes - p. 377 38. 8. Measured Substrate Height Densities - p. 378 39. 9. Experimental Verification - p. 389 40. 10. Conclusions - p. 405 41. Appendix 1. A New Method for the Calculation of the Optical Density Under Peaks Congestions - p. 407 42. Appendix 2. Coverage Coefficients and Normalization Factor - p. 433 43. Appendix 3. Matlab Scripts - p. 435 44. Index - p. 497
Theory and Modeling of Cylindrical Nanostructures for High-Resolution Coverage Spectroscopy presents a new method for the evaluation of the coverage distribution of randomly deposited nanoparticles, such as single-walled carbon nanotubes and Ag nanowires over the substrate (oxides, SiO2, Si3N4, glass etc.), through height measurements performed by scanning probe microscopy techniques, like Atomic Force Microscopy (AFM).
The deposition of nanoparticles and how they aggregate in multiple layers over the substrate is one of the most important aspects of solution processed materials determining device performances. The coverage spectroscopy method presented in the book is strongly application oriented and has several implementations supporting advanced surface analysis through many scanning probe microscopy techniques. Therefore this book will be of great value to both materials scientists and physicists who conduct research in this area.
1. Chapter 1. Introduction and Physical Background - p. 1 2. Chapter 2. The Coverage Theory and the Delta Model Approximation - p. 19 3. 1. A Simplified Physical Model - p. 19 4. 2. Simulations - p. 28 5. 3. The Coverage Error Theory - p. 33 6. 4. Experimental Verification: Part I - p. 42 7. 5. A Model for Multiple Carbon Nanotube Intersections - p. 47 8. 6. Generalized Coverage Theory - p. 64 9. 7. Experimental Verification: Part II - p. 85 10. 8. Experimental Verification: Part III - p. 95 11. 9. Conclusions - p. 104 12. Chapter 3. Statistical Diameter Modeling and Height Density Functions - p. 105 13. 1. The General Equation of Height Density - p. 105 14. 2. Deterministic Diameter Density - p. 115 15. 3. Uniform Diameter Density - p. 116 16. 4. Rayleigh Diameter Density - p. 121 17. 5. Gaussian-Harmonic Diameter Density - p. 126 18. 6. Measured Diameter Density - p. 140 19. 7. Summary of Height Statistics - p. 143 20. 8. Gaussian Convolution With Height Densities - p. 145 21. 9. Comparison Among Statistical Models - p. 193 22. Chapter 4. The Generalized Coverage Theory and Experimental Verifications - p. 203 23. 1. Redefining the Coverage Physical Model - p. 203 24. 2. Coverage Solution: “DESIGN” Mode - p. 210 25. 3. Coverage Solution: MEASURE Mode - p. 218 26. 4. Carbon Nanotube With Random Planar Orientation - p. 225 27. 5. Experimental Verifications - p. 230 28. 6. Silver Nanowires - p. 303 29. 7. Conclusions - p. 310 30. Chapter 5. The Gaussian-Harmonic Model of the Substrate Height Density - p. 313 31. 1. Introduction - p. 313 32. 2. The Gaussian-Harmonic Height Density - p. 313 33. 3. Minimum Mean Square Error Fitting With Normalized Density - p. 318 34. 4. Application to Deterministic Height Densities - p. 333 35. 5. Application to Random Height Densities - p. 342 36. 6. Generalization to Not Normalized Samples - p. 361 37. 7. MATLAB Source Codes - p. 377 38. 8. Measured Substrate Height Densities - p. 378 39. 9. Experimental Verification - p. 389 40. 10. Conclusions - p. 405 41. Appendix 1. A New Method for the Calculation of the Optical Density Under Peaks Congestions - p. 407 42. Appendix 2. Coverage Coefficients and Normalization Factor - p. 433 43. Appendix 3. Matlab Scripts - p. 435 44. Index - p. 497
