Theory and modeling of cylindrical nanostructures for high-resolution coverage spectroscopy. (2017)

• Record Type: Book
• Further Information: Note: Stefano Bottacchi, Francesca Bottacchi.
• Authors: Bottacchi, Stefano; Bottacchi, Francesca
• Contents: Front Cover; Theory and Modeling of Cylindrical Nanostructures for High-Resolution Coverage Spectroscopy; Dedication; Theory and Modeling of Cylindrical Nanostructures for High-Resolution Coverage SpectroscopyStefano BottacchiFrancesca Bottacchi; Copyright; Contents; Authors' Profile; Preface; Acknowledgments; 1 -- INTRODUCTION AND PHYSICAL BACKGROUND; 1. INTRODUCTION AND MOTIVATION; 2. BOOK OUTLINE; 3. ATOMIC FORCE MICROSCOPY; 3.1 OPERATING PRINCIPLE; 3.2 OPERATING MODES; 3.3 OTHER SCANNING PROBE MICROSCOPIC TECHNIQUES; 4. CARBON NANOTUBES; 4.1 CRYSTALLINE STRUCTURE 4.2 SYNTHESIS AND PROCESSING METHODS4.2.1 Sorting Techniques; 4.2.1.1 The Polymer Sorting Method; 5. CHARACTERIZATION OF CARBON NANOTUBE SAMPLES; 6. SILVER NANOWIRES; REFERENCES; 2 -- THE COVERAGE THEORY AND THE DELTA MODEL APPROXIMATION; 1. A SIMPLIFIED PHYSICAL MODEL; 1.1 STATISTICAL DISTRIBUTIONS OF THE SIO2 HEIGHT; 1.1.1 The Gaussian Fit; 1.2 STATISTICAL DISTRIBUTIONS OF THE CARBON NANOTUBE HEIGHT; 1.2.1 Coverage; 1.3 THE TOTAL HEIGHT STATISTIC OF THE DELTA MODEL; 1.3.1 Low SiO2 Roughness; 1.3.2 Large SiO2 Roughness; 1.3.3 The Coverage Equation 1.3.4 Limiting SiO2 Roughness and Interpeak Interference1.3.5 Comparison Between Substrate Roughness and Diameter; 2. SIMULATIONS; 2.1 SIO2 DENSITY MODEL; 2.2 CASE 1: LOW SIO2 ROUGHNESS; 2.3 CASE 2: LARGE SIO2 ROUGHNESS; 3. THE COVERAGE ERROR THEORY; 3.1 INTERPEAK INTERFERENCE ERROR; 3.2 MEASURED PEAK AMPLITUDE; 3.3 MEASURED COVERAGES; 3.4 APPROXIMATE COVERAGE ERRORS FOR Q≈1; 3.4.1 First Peak (Uncoverage) Error; 3.4.2 Single-Layer Carbon Nanotube Coverage Error; 3.4.3 Dual-Layer Carbon Nanotube Coverage Error; 3.4.4 Three-Layer Carbon Nanotube Coverage Error 3.5 THE COVERAGE SOLUTION ALGORITHM3.6 SIMULATION AND NUMERICAL VERIFICATION; 3.7 COMMENTS; 4. EXPERIMENTAL VERIFICATION: PART I; 4.1 IMPLEMENTING THE COVERAGE SOLUTION ALGORITHM; 4.2 SOMETHING IS MISSING; 5. A MODEL FOR MULTIPLE CARBON NANOTUBE INTERSECTIONS; 5.1 MULTIPLE CARBON NANOTUBES TRIPLETS; 5.2 GENERALIZATION OF THE CARBON NANOTUBE HEIGHT STATISTIC; 5.3 STATISTICAL MODEL OF THE CARBON NANOTUBE TRIPLET HEIGHT; 5.3.1 Mean; 5.3.2 Variance; 5.3.3 Density Function; 5.4 GENERALIZED STATISTIC OF THE CARBON NANOTUBE HEIGHT; 5.4.1 Conditional Probability of the Carbon Nanotube Triplet 5.5 PROBABILITY DENSITY OF THE TOTAL HEIGHT5.5.1 Convolution Theorems; Shift Theorem; [T2] Mean Value Theorem; [T3] Variance Theorem; 5.6 GAUSSIAN CONVOLUTION WITH THE CARBON NANOTUBE TRIPLET DENSITY; 5.6.1 Mean; 5.6.2 Variance; 5.6.3 Gaussian Approximation; 6. GENERALIZED COVERAGE THEORY; 6.1 THE FIRST SET OF INTERPEAK INTERFERENCE TERMS; 6.2 THE FIRST SET OF COVERAGE EQUATIONS; 6.3 THE SECOND SET OF INTERPEAK INTERFERENCE TERMS; 6.4 THE SECOND SET OF COVERAGE EQUATIONS; 6.4.1 Coverage Coefficients of the Carbon Nanotube Triplets; 6.5 MATRIX REPRESENTATION AND SOLUTION ALGORITHM
• Publisher Details: Amsterdam, Netherlands : Elsevier
• Publication Date: 2017
• Extent: 1 online resource
• Subjects: 620.1/157; Nanostructured materials -- Spectra; High resolution spectroscopy; TECHNOLOGY & ENGINEERING / Engineering (General); TECHNOLOGY & ENGINEERING / Reference; Electronic books
• Languages: English
• ISBNs: 9780323527323; 0323527329
• Related ISBNs: 9780323527316
• Notes: Note: Online resource; title from PDF title page (EBSCO, viewed June 9, 2017).
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.