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Edexcel International AS Physics

Revision Notes

Home / International AS / Physics / Edexcel / Revision Notes / 2. Waves & Electricity / Waves, Electrons & Photons / 2.21 The Wave Nature of Electrons


2.21 The Wave Nature of Electrons


The Wave Nature of Electrons

  • Electron diffraction was the first clear evidence that matter can behave like light and has wave properties
    • This is demonstrated using the electron diffraction tube
  • The electrons are accelerated in an electron gun to a high potential, such as 5000 V, and are then directed through a thin film of graphite
    • The lattice structure of the graphite acts like the slits in a diffraction grating
  • The electrons diffract from the gaps between carbon atoms and produce a circular pattern on a fluorescent screen made from phosphor

Electron Diffraction Experiment, downloadable AS & A Level Physics revision notes

Electrons accelerated through a high potential difference demonstrate wave-particle duality 

  • In order to observe the diffraction of electrons, they must be focused through a gap similar to their size, such as an atomic lattice
  • Graphite film is ideal for this purpose because of its crystalline structure
    • The gaps between neighbouring planes of the atoms in the crystals act as slits, allowing the electron waves to spread out and create a diffraction pattern

  • The diffraction pattern is observed on the screen as a series of concentric rings
    • This phenomenon is similar to the diffraction pattern produced when light passes through a diffraction grating
    • If the electrons acted as particles, a pattern would not be observed, instead, the particles would be distributed uniformly across the screen

  • It is observed that a larger accelerating voltage reduces the diameter of a given ring, while a lower accelerating voltage increases the diameter of the rings


  • 1. Mechanics & Materials
    • Motion
      • 1.1 Equations of Motion
        • 1.2 Motion Graphs
          • 1.3 Slope & Area of Motion Graphs
            • 1.4 Scalars & Vectors
              • 1.5 Resolving Vectors
                • 1.6 Adding Vectors
                  • 1.7 Components of Velocity
                    • 1.8 Free-body Force Diagrams
                    • Forces & Momentum
                      • 1.9 Force & Acceleration
                        • 1.10 Mass, Weight & Gravitational Field Strength
                          • 1.11 Core Practical 1: Investigating the Acceleration of Freefall
                            • 1.12 Newton's Third Law of Motion
                              • 1.13 Momentum
                                • 1.14 Conservation of Linear Momentum
                                • Moments
                                  • 1.15 Moments
                                    • 1.16 Centre of Gravity & The Principle of Moments
                                    • Work, Energy & Power
                                      • 1.17 Work
                                        • 1.18 Kinetic Energy
                                          • 1.19 Gravitational Potential Energy
                                            • 1.20 The Principle of Conservation of Energy
                                              • 1.21 Power
                                                • 1.22 Efficiency
                                                • Density, Upthrust & Viscous Drag
                                                  • 1.23 Density
                                                    • 1.24 Upthrust
                                                      • 1.25 Viscous Drag
                                                      • Stretching Materials
                                                        • 1.27 Hooke's Law
                                                          • 1.28 Stress, Strain & The Young Modulus
                                                            • 1.29 Force-Extension Graphs
                                                              • 1.30 Stress-Strain Graphs
                                                                • 1.31 Core Practical 3: Investigating Young Modulus
                                                                  • 1.32 Elastic Strain Energy
                                                                • 2. Waves & Electricity
                                                                  • Transverse & Longitudinal Waves
                                                                    • 2.1 Properties of Waves
                                                                      • 2.2 The Wave Equation
                                                                        • 2.3 Longitudinal Waves
                                                                          • 2.4 Transverse Waves
                                                                            • 2.5 Representing Waves on Graphs
                                                                            • Interference & Stationary Waves
                                                                              • 2.7 Interference & Superposition of Waves
                                                                                • 2.8 Phase & Path Difference
                                                                                  • 2.9 Stationary Waves
                                                                                    • 2.10 Wave Speed on a Stretched Spring
                                                                                      • 2.11 Core Practical 5: Investigating Stationary Waves
                                                                                      • Refraction, Reflection & Polarisation
                                                                                        • 2.12 Equation for the Intensity of Radiation
                                                                                          • 2.13 Refraction & Refractive Index
                                                                                            • 2.14 Critical Angle
                                                                                              • 2.15 Total Internal Reflection
                                                                                                • 2.16 Measuring Refractive Index
                                                                                                  • 2.17 Plane Polarisation
                                                                                                  • Waves, Electrons & Photons
                                                                                                    • 2.19 The Diffraction Grating Equation
                                                                                                      • 2.20 Core Practical 6: Investigating Diffraction Gratings
                                                                                                        • 2.21 The Wave Nature of Electrons
                                                                                                          • 2.22 The de Broglie Equation
                                                                                                            • 2.23 Transmission & Reflection of Waves
                                                                                                              • 2.24 Pulse-Echo Technique
                                                                                                                • 2.25 Wave-Particle Duality
                                                                                                                  • 2.26 Energy of a Photon
                                                                                                                  • The Photoelectric Effect & Atomic Spectra
                                                                                                                    • 2.27 The Photoelectric Effect
                                                                                                                      • 2.28 The Photoelectric Equation
                                                                                                                        • 2.29 The Electronvolt
                                                                                                                          • 2.30 The Particle Nature of EM Radiation
                                                                                                                            • 2.31 Atomic Line Spectra
                                                                                                                            • Current, Potential Difference, Resistance & Power
                                                                                                                              • 2.32 Electric Current
                                                                                                                                • 2.33 Potential Difference
                                                                                                                                  • 2.34 Ohm's Law
                                                                                                                                    • 2.35 Charge Conservation in Circuits
                                                                                                                                      • 2.36 Energy Conservation in Circuits
                                                                                                                                        • 2.37 Resistance in Series & Parallel
                                                                                                                                          • 2.38 Electrical Power
                                                                                                                                            • 2.39 Current-Potential Difference Graphs
                                                                                                                                            • Resistance, Resistivity & Potential Dividers
                                                                                                                                              • 2.40 Electrical Resistivity
                                                                                                                                                • 2.41 Core Practical 7: Investigating Resistivity
                                                                                                                                                  • 2.42 Calculating Current & Drift Velocity
                                                                                                                                                    • 2.43 Potential Difference & Conductor Length
                                                                                                                                                      • 2.44 Potential Dividers
                                                                                                                                                        • 2.45 Potential Dividers & Variable Resistance
                                                                                                                                                        • E.M.F & Modelling Resistance
                                                                                                                                                          • 2.46 Electromotive Force
                                                                                                                                                            • 2.47 Internal Resistance
                                                                                                                                                              • 2.48 E.M.F. vs. Terminal Potential Difference
                                                                                                                                                                • 2.49 Core Practical 8: Investigating E.M.F. & Internal Resistance
                                                                                                                                                                  • 2.50 Resistance & Temperature
                                                                                                                                                                    • 2.51 Resistance & Illumination
                                                                                                                                                                  • 3. Practical Skills in Physics I
                                                                                                                                                                    • Practical Skills I: Planning
                                                                                                                                                                      • 3.1 Identifying Apparatus
                                                                                                                                                                        • 3.2 Range & Resolution of Instruments
                                                                                                                                                                          • 3.3 Calibrating Instruments
                                                                                                                                                                            • 3.4 Measuring Variables
                                                                                                                                                                              • 3.5 Control Variables & Fair Tests
                                                                                                                                                                                • 3.6 Repeat Readings
                                                                                                                                                                                  • 3.7 Health & Safety
                                                                                                                                                                                    • 3.8 Data Collection
                                                                                                                                                                                      • 3.9 Uncertainty & Systematic Errors
                                                                                                                                                                                        • 3.10 Wider Implications
                                                                                                                                                                                        • Practical Skills I: Implementation & Measurements
                                                                                                                                                                                          • 3.11 Number of Readings
                                                                                                                                                                                            • 3.12 Range of Measurements
                                                                                                                                                                                              • 3.13 Significant Figures
                                                                                                                                                                                                • 3.14 Anomalous Readings
                                                                                                                                                                                                  • 3.15 Using a Micrometer
                                                                                                                                                                                                    • 3.16 Evaluating Experiments
                                                                                                                                                                                                    • Practical Skills I: Processing Results
                                                                                                                                                                                                      • 3.17 Calculations using Experimental Data
                                                                                                                                                                                                        • 3.18 Plotting Graphs
                                                                                                                                                                                                          • 3.19 Using Units Correctly
                                                                                                                                                                                                            • 3.20 Identifying Graphical Relationships
                                                                                                                                                                                                              • 3.21 Interpreting Graphs
                                                                                                                                                                                                                • 3.22 Reducing Errors
                                                                                                                                                                                                                  • 3.23 Suggesting Improvements
                                                                                                                                                                                                                    • 3.24 Uncertainties
                                                                                                                                                                                                                      • 3.25 Determining Uncertainty


                                                                                                                                                                                                                      DOWNLOAD PDF

                                                                                                                                                                                                                    Author: lindsay@savemyexams.co.uk



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