Transport of energetic electrons in solids computer simulation with applications to materials analysis and characterization /: computer simulation with applications to materials analysis and characterization. (2020)

• Record Type: Book
• Further Information: Note: Maurizio Dapor.
• Other Names: Dapor, Maurizio
• Contents: Intro -- Preface to the Third Edition -- Preface to the Second Edition -- Preface to the First Edition -- Acknowledgements -- Contents -- 1 Electron Transport in Solids -- 1.1 Motivation: Why Are Electrons Important -- 1.2 The Monte Carlo Method -- 1.3 The Monte Carlo Ingredients -- 1.4 Electron-Beam Interactions with Solids -- 1.5 Electron Energy-Loss Peaks -- 1.6 Auger Electron Peaks -- 1.7 Secondary Electron Peak -- 1.8 Characterization of Materials -- 1.9 Summary -- References -- 2 Computational Minimum -- 2.1 Numerical Differentiation -- 2.2 Numerical Quadrature 2.2.1 Trapezoidal Rule, Simpson's Rule, Bode's Rule -- 2.2.2 Gaussian Quadrature -- 2.3 Ordinary Differential Equations -- 2.4 Special Functions of Mathematical Physics -- 2.4.1 Legendre Polynomials and Associated Legendre Functions -- 2.4.2 Bessel Functions -- 2.5 Summary -- References -- 3 Cross-Sections. Basic Aspects -- 3.1 Cross-Section and Probability of Scattering -- 3.2 Stopping Power and Inelastic Mean Free Path -- 3.3 Range -- 3.4 Energy Straggling -- 3.5 Summary -- References -- 4 Scattering Mechanisms -- 4.1 Elastic Scattering 4.1.1 Mott Cross-Section Versus Screened Rutherford Cross-Section -- 4.1.2 Polarized Electron Beams Elastically Scattered by Atoms -- 4.1.3 Electron-Molecule Elastic Scattering -- 4.2 Quasi-elastic Scattering -- 4.2.1 Electron-Phonon Interaction -- 4.3 Inelastic Scattering -- 4.3.1 Stopping: Bethe-Bloch Formula -- 4.3.2 Stopping: Semi-empiric Formulas -- 4.3.3 Dielectric Theory -- 4.3.4 Sum of Drude Functions -- 4.3.5 The Mermin Theory -- 4.3.6 Exchange Effects -- 4.3.7 Polaronic Effect -- 4.4 Surface Phenomena -- 4.5 Summary -- References -- 5 Random Numbers 5.1 Generating Pseudo-random Numbers -- 5.2 Testing Pseudo-random Number Generators -- 5.3 Pseudo-random Numbers Distributed According to a Given Probability Density -- 5.4 Pseudo-random Numbers Uniformly Distributed in the Interval [a, b] -- 5.5 Pseudo-random Numbers Distributed According to the Exponential Density of Probability -- 5.6 Pseudo-random Numbers Distributed According ... -- 5.7 Summary -- References -- 6 Monte Carlo Strategies -- 6.1 The Continuous-Slowing-Down Approximation -- 6.1.1 The Step-Length -- 6.1.2 Interface Between Over-Layer and Substrate 6.1.3 The Polar Scattering Angle -- 6.1.4 Direction of the Electron After the Last Deflection -- 6.1.5 Electron Position in Three Dimensional Cartesian Coordinates -- 6.1.6 The Energy Loss -- 6.1.7 End of the Trajectory and Number of Trajectories -- 6.2 The Energy-Straggling Strategy -- 6.2.1 The Step-Length -- 6.2.2 Elastic and Inelastic Scattering -- 6.2.3 Energy Loss -- 6.2.4 Electron-Atom Collisions: Scattering Angle -- 6.2.5 Electron-Electron Collisions: Scattering Angle -- 6.2.6 Electron-Phonon Collisions: Scattering Angle -- 6.2.7 Direction of the Electron After the Last Deflection
• Edition: 3rd ed
• Publisher Details: Cham : Springer
• Publication Date: 2020
• Extent: 1 online resource (227 p.)
• Subjects: 530.4120113; Electron transport; Electrons -- Scattering; Electron beams; Monte Carlo method; Electron beams; Electron transport; Electrons -- Scattering; Monte Carlo method; Electronic books; Electronic books
• Languages: English
• ISBNs: 9783030432645; 3030432645
• Related ISBNs: 9783030432638
• 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.