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IB DP Physics 2025 Study Notes

5.1.1 Historical Experiments

The Geiger–Marsden–Rutherford Experiment

Background

At the dawn of the 20th century, the atom's structure was enshrouded in mystery. The popular plum pudding model, postulated by J.J. Thomson, was the prevailing theory. It envisioned atoms as spheres of positive charge with electrons embedded within, like plums in a pudding. However, a meticulous experiment led by Ernest Rutherford, assisted by Hans Geiger and Ernest Marsden, would challenge this model and usher in a new era of atomic understanding.

Experimental Setup

The experiment involved bombarding a thin gold foil with alpha particles, which are helium nuclei, emitted from a radioactive source. These positively charged and relatively massive particles were expected to pass through the foil experiencing minimal deflection if the plum pudding model held true. A screen coated with zinc sulphide surrounded the foil; it would emit a flash of light each time an alpha particle struck it, thereby indicating the particle’s deflection angle.

A diagram showing a comparison between the expected and observed outcomes of Geiger- Marsden- Rutherford Experiment.

Geiger- Marsden- Rutherford Experiment

Image courtesy of Kurzon

Observations and Results

  • Minimal Deflection: A majority of the alpha particles passed straight through the foil or were deflected at small angles. This observation supported the idea that most of the atom was empty space.
  • Significant Deflection: Contrary to expectations, a small fraction of alpha particles were deflected at large angles, with some rebounding. This was inexplicable under the plum pudding model, indicating the presence of a dense, positive core capable of repelling the alpha particles.
Diagram showing the deflection of alpha particles beam after interaction with the nuclei of the thin gold foil. The majority of the particles pass undisturbed, some pass with small angles of deflection while the beams passing close to the nucleus are diverted with a high angle or even bounced backwards.

Deflection of alpha particles in the Geiger-Marsden-Rutherford Experiment

Image Courtesy PhysicsOpenLab

The Concept of the Nucleus

Discovery and Proposition

Rutherford was astounded by the significant deflection of some alpha particles. After careful analysis, he proposed a new atomic model where a small, dense, and positively charged nucleus existed at the centre of the atom. The electrons, rather than being interspersed throughout a positive sphere, orbited this central nucleus.

Characteristics

  • Compact Size: The nucleus is extremely small relative to the overall size of the atom.
  • Mass Concentration: Though compact, the nucleus houses nearly all of the atom’s mass.
  • Positive Charge: It is positively charged due to the presence of protons, constituents of the nucleus discovered later.

Implications

The revelation of the nucleus was a seismic shift in atomic theory. It offered an explanation for the unexpected results of the Geiger–Marsden–Rutherford experiment and provided a foundation for future atomic research.

Implications for the Atomic Model

Overturning the Plum Pudding Model

The experiment's results were incompatible with the plum pudding model. The significant deflection of alpha particles highlighted the presence of a concentrated centre of positive charge within the atom.

The Nuclear Model

  • Mass and Charge Concentration: The atom’s positive charge and most of its mass were concentrated in a small core - the nucleus.
  • Electron Orbits: Electrons were posited to orbit the nucleus, creating a system analogous to a miniature solar system.
  • Predominantly Empty Space: The atom is mostly empty space, leading to minimal deflection for the majority of alpha particles.
A diagram showing the structure of the Nuclear Model contradicting the Plum Pudding Model and explaining the findings of the Geiger-Marsden-Rutherford Experiment

Plum Pudding Model vs Nuclear Model

Image courtesy Caroline Monahan- Expii

Groundwork for Future Theories

This fundamental discovery catalysed the development of new theories and experimental research in atomic and nuclear physics.

  • Quantum Mechanics: The established nuclear model provided a springboard for the exploration of quantum mechanics, offering insights into the behaviour of particles at atomic and subatomic scales.
  • Nuclear Physics Expansion: Our understanding of nuclear reactions, radioactivity, and other nuclear phenomena expanded exponentially following the nucleus’s discovery.
  • Electron Behaviour: Insights into the atom’s structure clarified the role of electrons in chemical reactions and bonds.

The Nuclear Model’s Legacy

Rutherford’s Contributions

Ernest Rutherford’s contributions transcended the discovery of the nucleus. His insights paved the way for a refined understanding of atomic structure, directly influencing the development of quantum physics and various technological innovations in medicine, energy, and more.

Evolution of Atomic Theory

Rutherford’s nuclear model marked a pivotal moment in the evolution of atomic theory. By successfully challenging the plum pudding model, it opened doors for subsequent advancements in science, leading to discoveries that continue to shape our understanding of the universe.

Technological and Scientific Advancements

The identification of the nucleus and the enhanced understanding of atomic structure fostered advancements in various scientific fields. Nuclear energy, medical imaging, and radiation therapy are just a few areas that have benefited from these discoveries.

The Journey Ahead

Embarking on this journey of atomic exploration, it’s crucial to acknowledge the Geiger–Marsden–Rutherford experiment’s monumental role in shaping contemporary physics. As we delve deeper into subsequent topics, the foundations laid by this experiment will serve as a guiding light, illuminating complex concepts and fostering a comprehensive understanding of the atomic world. The uncovering of the nucleus was not just a discovery but a gateway to a universe of knowledge that continues to expand, inviting inquiry, exploration, and revelation. Each finding, a stepping stone; each revelation, a catalyst to infinite queries that define the odyssey of scientific exploration.

FAQ

Gold foil was chosen for the experiment due to its malleability and the ability to make it extremely thin. A thin foil was essential to allow the alpha particles to penetrate the atomic structure, enabling the scientists to observe their deflection patterns accurately. Gold’s atomic structure is also well-understood, offering a reliable medium for the experiment. Moreover, its inert nature ensured that the foil would not react chemically during the experiment, eliminating potential variables and ensuring that the observations were solely due to the physical interactions between the alpha particles and gold atoms.

The discovery of a dense, positively charged nucleus in the atom by the Geiger–Marsden–Rutherford experiment laid the groundwork for the subsequent identification of protons. The experiment demonstrated that a concentrated core of positive charge existed, but it didn’t identify the specific constituents of the nucleus. Later, scientists, building on this revelation, conducted further experiments and theoretical work that led to the discovery of protons as the carriers of positive charge within the nucleus, thereby offering a more detailed and comprehensive understanding of atomic structure.

The nuclear model rectified the plum pudding model’s limitations by introducing a central, dense, and positively charged nucleus within the atom. The plum pudding model couldn’t explain the significant deflection of some alpha particles observed in the Geiger–Marsden–Rutherford experiment. The nuclear model, however, with a nucleus containing most of the atom’s mass and positive charge, offered a coherent explanation for this phenomenon. Electrons orbiting the nucleus at relatively large distances explained why most alpha particles passed through with minimal deflection, as the atom was mostly empty space, resolving the inconsistencies highlighted by the experiment.

The fraction of alpha particles deflected at large angles was small but significant. Although the majority of the particles passed through the gold foil with minimal deflection, showcasing that atoms are largely empty space, the deflection of a noticeable minority at substantial angles was critical. This phenomenon couldn’t be explained by the prevailing plum pudding model and indicated a concentrated positive charge within the atom. Thus, while numerically minor, the impact of these deflected particles was monumental, leading directly to the proposal and acceptance of Rutherford’s nuclear model of the atom.

Rutherford, Geiger, and Marsden employed a systematic approach to ensure the accuracy of their observations. The use of a fluorescent zinc sulfide screen was instrumental in detecting the alpha particles’ deflection angles with precision. Each time an alpha particle struck the screen, it emitted a flash of light, allowing for exact recording of the particles' paths post-collision with the gold foil. Moreover, the experiment was repeated multiple times to confirm the consistency of the observed patterns of deflection, ensuring that the results were not anomalous but indicative of an underlying atomic structure contrary to the plum pudding model.

Practice Questions

Explain how the observations from the Geiger–Marsden–Rutherford experiment contradicted the plum pudding model and led to the proposal of the nuclear model of the atom.

The Geiger–Marsden–Rutherford experiment observed that while most alpha particles passed through the gold foil with minimal deflection, a few were deflected at significant angles, and some even rebounded. This observation contradicted the plum pudding model, which didn't account for such significant deflection due to the dispersed positive charge. It suggested the presence of a concentrated, highly positive charge within the atom. Consequently, Rutherford proposed the nuclear model, where the atom consists of a small, dense nucleus containing most of the atom's mass and positive charge, with electrons orbiting this nucleus, effectively proving the inadequacy of the plum pudding model.

Discuss the implications of the Geiger–Marsden–Rutherford experiment on the subsequent development of atomic and nuclear physics.

The experiment's revelation of a dense, positively charged nucleus within the atom marked a turning point in atomic and nuclear physics. It refuted the plum pudding model, instigating the development of the nuclear model of the atom. The findings spurred research into the behaviour and characteristics of the nucleus, leading to profound advancements in nuclear physics, including insights into nuclear reactions and radioactivity. Additionally, the experiment laid the groundwork for the development of quantum mechanics, catalysing further exploration into the mysterious and intricate world of subatomic particles, and enabling a more nuanced understanding of atomic structures and electron behaviour.

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