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Edexcel A Level Physics

Revision Notes

Home / A Level / Physics / Edexcel / Revision Notes / 8. Nuclear & Particle Physics / Exploring the Structure of Matter / 8.2 The Nuclear Model of the Atom


8.2 The Nuclear Model of the Atom


Alpha Particle Scattering

  • Evidence for the structure of the atom was discovered by Ernest Rutherford in the beginning of the 20th century from the study of alpha particle scattering
    • This structure is commonly referred to as the 'nuclear model' of the atom
  • The experimental setup consists of alpha particles fired at thin gold foil and a detector on the other side to detect how many particles deflected at different angles

Alpha particle experiment diagram, downloadable AS & A Level Physics revision notes

Alpha particle scattering experiment set up

  • α-particles are the nucleus of a helium atom and are positively charged

Alpha particle scattering, downloadable AS & A Level Physics revision notes

When α-particles are fired at thin gold foil, most of them go straight through but a small number bounce straight back

  • The results from this experiment are summarised as follows:
  • The majority of α-particles went straight through the gold foil without deflection (A)
    • This suggested the atom is mainly empty space

  • Some α-particles deflected through small angles of < 10o (B)
    • This suggested there is a positive nucleus at the centre (since two positive charges would repel)

  • Only a small number of α-particles deflected straight back at angles of > 90o (C)
    • This suggested the nucleus is extremely small and this is where the mass and charge of the atom is concentrated
    • It was therefore concluded that atoms consist of small dense positively charged nuclei

 

  • Since atoms were known to be neutral, the negative electrons were thought to be on a positive sphere of charge (plum pudding model) before the nucleus was theorised
  • Now it is known that the negative electrons are orbiting the nucleus. Collectively, these make up the atom

Atomic Structure, downloadable AS & A Level Physics revision notes

An atom: a small, dense, positive nucleus, surrounded by negative electrons

  • Note: The atom is around 100,000 times larger than the nucleus!

Worked Example

In an α-particle scattering experiment, a student set up the apparatus below to determine the number n of α-particle incident per unit time on a detector held at various angles θ.WE - Rutherford scattering question image 1, downloadable AS & A Level Physics revision notesWhich of the following graphs best represents the variation of n with θ from 0 to 90°?WE - Rutherford scattering question image 2, downloadable AS & A Level Physics revision notes

     ANSWER:   A

  • The Rutherford scattering experiment directed parallel beams of α-particles at gold foil
  • The observations were:
    • Most of the α-particles went straight through the foil
    • The largest value of n will therefore be at small angles
    • Some of the α-particles were deflected through small angles
    • n drops quickly with increasing angle of deflection θ

  • These observations fit with graph A

Exam Tip

Make sure you can recall all the different results from the experiment and what they have told us about the structure of the atom, as this is a common exam question.

Changing Models of Atomic Structure

  • Our understanding of atomic structure has changed over time in the following ways:

John Dalton’s Model (1803)

  • Dalton imagined that all matter was made of tiny solid particles called atoms
  • Dalton’s model proposed:
    • Atoms are the smallest constituents of matter and cannot be broken down any further
    • Atoms of a given element are identical to each other and atoms of different elements are different from one another
    • When chemical reactions occur, the atoms rearrange to make different substances

 

J.J. Thomson’s Model (1897)

  • Thomson discovered the electron
  • He then went on to propose the ‘plum pudding’ model of the atom
  • In this model:
    • The atom consists of positive and negative charges in equal amounts so that it is neutral overall
    • They were modelled as spheres of positive charge with uniformly distributed charge and density. The negatively charged electrons were thought to be stuck to the sphere like currants in a plum pudding

 Rutherford’s Gold Foil Experiment (1909 – 1911)

  • Hans Geiger and Ernest Marsden set out to test the plum pudding model
  • They aimed beams of positively charged particles (alpha particles) at very thin gold foil
  • According to the plum pudding model, these particles should have passed straight through, However, many of them were backscattered
  • Ernest Rutherford explained these results in his ‘planetary model of atom’ which states:
    • Atoms have a central, positively charged nucleus containing the majority of the mass
    • Electrons orbit the nucleus, like planets around a star

 Neils Bohr’s Model (1913)

  • Bohr improved upon Rutherford’s planetary model
  • Using mathematical ideas, he showed that electrons occupy shells or energy levels around the nucleus
    • These are at particular distances from the nucleus

 

Quantum Mechanical Model (1926)

  • Erwin Schrödinger took Bohr's model further and used equations to calculate the likelihood of finding an electron in a certain position
  • This model can be portrayed as a nucleus surrounded by an electron cloud. Where the cloud is most dense, the probability of finding the electron is greatest and vice versa
  • The atom was thought to only have a positively charged nucleus surrounded by negatively charged electrons. James Chadwick then discovered the neutron in 1932, which completes the model of the atom we know today

Changing Models of the Atom, downloadable AS & A Level Physics revision notes

Timeline of the changing models of the atom

Exam Tip

Although you won't be expected to memorise specific dates or names of the scientists, it is good to know the rough order of the types of models and how they differ from each other.



  • 1. Working as a Physicist
    • Working as a Physicist
      • 1.1 SI Units
        • 1.2 Practical Skills
          • 1.3 Estimating Physical Quantities
            • 1.4 Limitations of Measurements
              • 1.5 Scientific Communication
                • 1.6 Applications of Science
                  • 1.7 The Scientific Community
                    • 1.8 Science & Society
                  • 2. Mechanics
                    • Motion
                      • 2.1 Equations of Motion
                        • 2.2 Motion Graphs
                          • 2.3 Properties of Motion Graphs
                            • 2.4 Scalars & Vectors
                              • 2.5 Resolving Vectors
                                • 2.6 Finding the Resultant Vector
                                  • 2.7 Projectiles
                                    • 2.8 Forces as Vectors
                                    • Forces & Momentum
                                      • 2.9 Force & Acceleration
                                        • 2.10 Mass, Weight & Gravitational Field Strength
                                          • 2.11 Core Practical 1: Investigating the Acceleration of Freefall
                                            • 2.12 Newton's Third Law of Motion
                                              • 2.13 Momentum
                                                • 2.14 Conservation of Linear Momentum
                                                • Moments
                                                  • 2.15 Moments
                                                    • 2.16 Centre of Gravity & The Principle of Moments
                                                    • Work, Energy & Power
                                                      • 2.17 Work
                                                        • 2.18 Kinetic Energy
                                                          • 2.19 Gravitational Potential Energy
                                                            • 2.20 The Principle of Conservation of Energy
                                                              • 2.21 Power
                                                                • 2.22 Efficiency
                                                              • 3. Electric Circuits
                                                                • Current, Potential Difference, Resistance & Power
                                                                  • 3.1 Electric Current
                                                                    • 3.2 Potential Difference
                                                                      • 3.3 Ohm's Law
                                                                        • 3.4 Charge Conservation in Circuits
                                                                          • 3.5 Energy Conservation in Circuits
                                                                            • 3.6 Resistance in Series & Parallel
                                                                              • 3.7 Electrical Power
                                                                                • 3.8 Current-Potential Difference Graphs
                                                                                • Resistance, Resistivity & Potential Dividers
                                                                                  • 3.9 Electrical Resistivity
                                                                                    • 3.10 Core Practical 2: Investigating Resistivity
                                                                                      • 3.11 Current & Drift Velocity
                                                                                        • 3.12 Potential Difference & Conductor Length
                                                                                          • 3.13 Potential Dividers
                                                                                            • 3.14 Potential Dividers & Variable Resistance
                                                                                            • E.M.F & Modelling Resistance
                                                                                              • 3.15 Electromotive Force
                                                                                                • 3.16 Internal Resistance
                                                                                                  • 3.17 E.M.F. vs. Terminal Potential Difference
                                                                                                    • 3.18 Core Practical 3: Investigating E.M.F. & Internal Resistance
                                                                                                      • 3.19 Resistance & Temperature
                                                                                                        • 3.20 Resistance & Illumination
                                                                                                      • 4. Materials
                                                                                                        • Density, Upthrust & Viscous Drag
                                                                                                          • 4.1 Density
                                                                                                            • 4.2 Upthrust
                                                                                                              • 4.3 Viscous Drag
                                                                                                                • 4.4 Core Practical 4: Investigating Viscosity
                                                                                                                • Stretching Materials
                                                                                                                  • 4.5 Hooke's Law
                                                                                                                    • 4.6 Stress, Strain & The Young Modulus
                                                                                                                      • 4.7 Force-Extension Graphs
                                                                                                                        • 4.8 Stress-Strain Graphs
                                                                                                                          • 4.9 Core Practical 5: Investigating Young Modulus
                                                                                                                            • 4.10 Elastic Strain Energy
                                                                                                                          • 5. Waves & Particle Nature of Light
                                                                                                                            • Transverse & Longitudinal Waves
                                                                                                                              • 5.1 Properties of Waves
                                                                                                                                • 5.2 The Wave Equation
                                                                                                                                  • 5.3 Longitudinal Waves
                                                                                                                                    • 5.4 Transverse Waves
                                                                                                                                      • 5.5 Representing Waves on Graphs
                                                                                                                                        • 5.6 Core Practical 6: Investigating the Speed of Sound
                                                                                                                                        • Interference & Stationary Waves
                                                                                                                                          • 5.7 Interference & Superposition of Waves
                                                                                                                                            • 5.8 Phase & Path Difference
                                                                                                                                              • 5.9 Stationary Waves
                                                                                                                                                • 5.10 Wave Speed on a Stretched String
                                                                                                                                                  • 5.11 Core Practical 7: Investigating Stationary Waves
                                                                                                                                                  • Refraction, Reflection & Polarisation
                                                                                                                                                    • 5.12 Equation for the Intensity of Radiation
                                                                                                                                                      • 5.13 Refraction & Refractive Index
                                                                                                                                                        • 5.14 Critical Angle
                                                                                                                                                          • 5.15 Total Internal Reflection
                                                                                                                                                            • 5.16 Measuring Refractive Index
                                                                                                                                                              • 5.17 Converging & Diverging Lenses
                                                                                                                                                                • 5.18 Using Ray Diagrams
                                                                                                                                                                  • 5.22 The Lens Equation
                                                                                                                                                                    • 5.23 Magnification
                                                                                                                                                                      • 5.24 Plane Polarisation
                                                                                                                                                                      • Waves, Electrons & Photons
                                                                                                                                                                        • 5.26 The Diffraction Grating Equation
                                                                                                                                                                          • 5.28 The Wave Nature of Electrons
                                                                                                                                                                            • 5.29 The de Broglie Equation
                                                                                                                                                                              • 5.30 Transmission & Reflection of Waves
                                                                                                                                                                                • 5.31 Pulse-Echo Technique
                                                                                                                                                                                  • 5.32 Wave-Particle Duality
                                                                                                                                                                                    • 5.33 Energy of a Photon
                                                                                                                                                                                    • The Photoelectric Effect & Atomic Spectra
                                                                                                                                                                                      • 5.34 The Photoelectric Effect
                                                                                                                                                                                        • 5.35 The Photoelectric Equation
                                                                                                                                                                                          • 5.36 The Electronvolt
                                                                                                                                                                                            • 5.37 The Particle Nature of EM Radiation
                                                                                                                                                                                              • 5.38 Atomic Line Spectra
                                                                                                                                                                                            • 6. Further Mechanics
                                                                                                                                                                                              • Momentum & Impulse
                                                                                                                                                                                                • 6.1 Impulse
                                                                                                                                                                                                  • 6.2 Core Practical 9: Investigating Impulse
                                                                                                                                                                                                    • 6.3 Applying Conservation of Linear Momentum
                                                                                                                                                                                                      • 6.4 Core Practical 10: Investigating Collisions using ICT
                                                                                                                                                                                                        • 6.5 Elastic & Inelastic Collisions
                                                                                                                                                                                                          • 6.6 Energy-Momentum Relation
                                                                                                                                                                                                          • Circular Motion
                                                                                                                                                                                                            • 6.7 Radians & Angular Displacement
                                                                                                                                                                                                              • 6.8 Angular Velocity
                                                                                                                                                                                                                • 6.10 Maintaining Circular Motion
                                                                                                                                                                                                                  • 6.11 Centripetal Force
                                                                                                                                                                                                                • 7. Electric & Magnetic Fields
                                                                                                                                                                                                                  • Electric Fields
                                                                                                                                                                                                                    • 7.1 Defining an Electric Field
                                                                                                                                                                                                                      • 7.2 Electric Field Strength
                                                                                                                                                                                                                        • 7.3 Electric Force between Two Charges
                                                                                                                                                                                                                          • 7.4 Electric Field due to a Point Charge
                                                                                                                                                                                                                            • 7.5 Electric Field & Potential
                                                                                                                                                                                                                              • 7.6 Electric Field between Parallel Plates
                                                                                                                                                                                                                                • 7.7 Electric Potential for a Radial Field
                                                                                                                                                                                                                                  • 7.8 Representing Radial & Uniform Electric Fields
                                                                                                                                                                                                                                  • Capacitance
                                                                                                                                                                                                                                    • 7.9 Capacitance
                                                                                                                                                                                                                                      • 7.10 Energy Stored by a Capacitor
                                                                                                                                                                                                                                        • 7.11 Charge & Discharge Curves
                                                                                                                                                                                                                                          • 7.12 Core Practical 11: Investigating Capacitor Charge & Discharge
                                                                                                                                                                                                                                            • 7.13 Exponential Discharge in a Capacitor
                                                                                                                                                                                                                                            • Magnetic Fields
                                                                                                                                                                                                                                              • 7.14 Magnetic Flux Density, Flux & Flux Linkage
                                                                                                                                                                                                                                                • 7.15 Magnetic Force on a Charged Particle
                                                                                                                                                                                                                                                  • 7.16 Magnetic Force on a Current-Carrying Conductor
                                                                                                                                                                                                                                                  • Electromagnetic Induction & Alternating Currents
                                                                                                                                                                                                                                                    • 7.17 Induced E.M.F in a Moving Coil
                                                                                                                                                                                                                                                      • 7.18 Induced E.M.F between Linked Coils
                                                                                                                                                                                                                                                        • 7.19 Lenz's Law
                                                                                                                                                                                                                                                          • 7.20 Faraday's Law
                                                                                                                                                                                                                                                            • 7.21 Alternating Currents & Potential Differences
                                                                                                                                                                                                                                                              • 7.22 Root-Mean-Square Current & Potential Difference
                                                                                                                                                                                                                                                            • 8. Nuclear & Particle Physics
                                                                                                                                                                                                                                                              • Exploring the Structure of Matter
                                                                                                                                                                                                                                                                • 8.1 Nucleon & Proton Number
                                                                                                                                                                                                                                                                  • 8.2 The Nuclear Model of the Atom
                                                                                                                                                                                                                                                                    • 8.3 Thermionic Emission
                                                                                                                                                                                                                                                                      • 8.4 Particle Accelerators & Detectors
                                                                                                                                                                                                                                                                        • 8.5 Radius of a Charged Particle in a Magnetic Field
                                                                                                                                                                                                                                                                          • 8.6 Interpreting Particle Tracks
                                                                                                                                                                                                                                                                            • 8.7 High Energy Particle Collisions
                                                                                                                                                                                                                                                                              • 8.8 Annihilation of Matter & Antimatter
                                                                                                                                                                                                                                                                                • 8.9 Unit Conversions for Energy & Mass
                                                                                                                                                                                                                                                                                  • 8.10 Relativistic Situations
                                                                                                                                                                                                                                                                                  • Particle Interactions & Conservation
                                                                                                                                                                                                                                                                                    • 8.11 The Standard Model
                                                                                                                                                                                                                                                                                      • 8.12 Antimatter
                                                                                                                                                                                                                                                                                        • 8.13 Conservation Laws in Particle Physics
                                                                                                                                                                                                                                                                                          • 8.14 Particle Interaction Equations
                                                                                                                                                                                                                                                                                        • 9. Thermodynamics
                                                                                                                                                                                                                                                                                          • Thermal Energy Transfer
                                                                                                                                                                                                                                                                                            • 9.1 Specific Heat Capacity & Latent Heat
                                                                                                                                                                                                                                                                                              • 9.2 Core Practical 12: Calibrating a Thermistor
                                                                                                                                                                                                                                                                                                • 9.3 Core Practical 13: Investigating Specific Latent Heat
                                                                                                                                                                                                                                                                                                • Kinetic Theory & Ideal Gases
                                                                                                                                                                                                                                                                                                  • 9.4 Internal Energy
                                                                                                                                                                                                                                                                                                    • 9.5 Temperature & Absolute Zero
                                                                                                                                                                                                                                                                                                      • 9.6 Kinetic Theory of Gases Equation
                                                                                                                                                                                                                                                                                                        • 9.7 Ideal Gas Equation
                                                                                                                                                                                                                                                                                                          • 9.8 Core Practical 14: Investigating Gas Pressure & Volume
                                                                                                                                                                                                                                                                                                            • 9.9 Average Molecular Kinetic Energy
                                                                                                                                                                                                                                                                                                            • Black Body Radiation
                                                                                                                                                                                                                                                                                                              • 9.10 Black Body Radiation
                                                                                                                                                                                                                                                                                                                • 9.11 Stefan-Boltzmann Law
                                                                                                                                                                                                                                                                                                                  • 9.12 Wien’s Law
                                                                                                                                                                                                                                                                                                                • 10. Space
                                                                                                                                                                                                                                                                                                                  • Astronomy
                                                                                                                                                                                                                                                                                                                    • 10.1 Inverse Square Law of Flux
                                                                                                                                                                                                                                                                                                                      • 10.2 Parallax
                                                                                                                                                                                                                                                                                                                        • 10.3 Standard Candles
                                                                                                                                                                                                                                                                                                                          • 10.4 The Hertzsprung-Russell Diagram
                                                                                                                                                                                                                                                                                                                            • 10.5 The Life Cycle of Stars
                                                                                                                                                                                                                                                                                                                            • Cosmology
                                                                                                                                                                                                                                                                                                                              • 10.6 Doppler Shift
                                                                                                                                                                                                                                                                                                                                • 10.7 Equations for Cosmology
                                                                                                                                                                                                                                                                                                                                  • 10.8 Cosmology
                                                                                                                                                                                                                                                                                                                                • 11. Nuclear Radiation
                                                                                                                                                                                                                                                                                                                                  • Nuclear Fusion & Fission
                                                                                                                                                                                                                                                                                                                                    • 11.1 Nuclear Binding Energy & Mass Deficit
                                                                                                                                                                                                                                                                                                                                      • 11.2 Atomic Mass Unit
                                                                                                                                                                                                                                                                                                                                        • 11.3 Binding Energy per Nucleon Graph
                                                                                                                                                                                                                                                                                                                                          • 11.4 Nuclear Fusion
                                                                                                                                                                                                                                                                                                                                          • Radioactivity Decay
                                                                                                                                                                                                                                                                                                                                            • 11.6 Alpha, Beta & Gamma Radiation
                                                                                                                                                                                                                                                                                                                                              • 11.7 Nuclear Decay Equations
                                                                                                                                                                                                                                                                                                                                                • 11.8 Core Practical 15: Investigating Gamma Radiation Absorption
                                                                                                                                                                                                                                                                                                                                                  • 11.9 The Random Nature of Nuclear Decay
                                                                                                                                                                                                                                                                                                                                                    • 11.10 Equations for Nuclear Physics
                                                                                                                                                                                                                                                                                                                                                  • 12. Gravitational Fields
                                                                                                                                                                                                                                                                                                                                                    • Gravitational Fields
                                                                                                                                                                                                                                                                                                                                                      • 12.1 Gravitational Fields
                                                                                                                                                                                                                                                                                                                                                        • 12.2 Gravitational Field Strength
                                                                                                                                                                                                                                                                                                                                                          • 12.3 Newton’s Law of Universal Gravitation
                                                                                                                                                                                                                                                                                                                                                            • 12.4 Gravitational Field due to a Point Mass
                                                                                                                                                                                                                                                                                                                                                              • 12.5 Gravitational Potential for a Radial Field
                                                                                                                                                                                                                                                                                                                                                                • 12.6 Comparing Electric & Gravitational Fields
                                                                                                                                                                                                                                                                                                                                                                  • 12.7 Orbital Motion
                                                                                                                                                                                                                                                                                                                                                                • 13. Oscillations
                                                                                                                                                                                                                                                                                                                                                                  • Simple Harmonic Motion
                                                                                                                                                                                                                                                                                                                                                                    • 13.1 Conditions for Simple Harmonic Motion
                                                                                                                                                                                                                                                                                                                                                                      • 13.2 Equations for Simple Harmonic Motion
                                                                                                                                                                                                                                                                                                                                                                        • 13.3 Period of Simple Harmonic Oscillators
                                                                                                                                                                                                                                                                                                                                                                          • 13.4 Displacement-Time Graph for an Oscillator
                                                                                                                                                                                                                                                                                                                                                                            • 13.5 Velocity-Time Graph for an Oscillator
                                                                                                                                                                                                                                                                                                                                                                            • Resonance
                                                                                                                                                                                                                                                                                                                                                                              • 13.6 Resonance
                                                                                                                                                                                                                                                                                                                                                                                • 13.7 Core Practical 16: Investigating Resonance
                                                                                                                                                                                                                                                                                                                                                                                  • 13.8 Damped & Undamped Oscillating Systems
                                                                                                                                                                                                                                                                                                                                                                                    • 13.9 Free & Forced Oscillations
                                                                                                                                                                                                                                                                                                                                                                                      • 13.10 Resonance Graphs
                                                                                                                                                                                                                                                                                                                                                                                        • 13.11 Damping & Plastic Deformation


                                                                                                                                                                                                                                                                                                                                                                                        DOWNLOAD PDF

                                                                                                                                                                                                                                                                                                                                                                                      Author: Deva



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