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Rutherford Scattering Experiment

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  • On September 10, 2024

In this chapter, we will understand Rutherford’s scattering experiment and its observations and conclusions. In order to understand the arrangement of charged particles like electrons and protons in an atom, the British scientist, Ernest Rutherford and his co-workers in 1911 carried out a series of experiments using alpha particles known as Rutherford’s alpha scattering experiments. This experiment is based on the alpha particles (helium nuclei) experiment.

The Rutherford’s alpha particle scattering experiment is one of the most important experiments in the history of atomic physics. It laid the foundation for the modern understanding of the atom, challenging earlier models and introducing the concept of an atomic nucleus.

Before Rutherford’s experiment, J. J. Thomson had given the first model of an atom in 1904, also known as “plum pudding model of atom”. In this model, he proposed that an atom may be considered as a sphere of positively charge particles in which the negatively charged particles called electrons are embedded to make the atom as a whole neutral.

This model was discarded in 1911 on both theoretical and experimental due to the Rutherford’s atomic model. Now let’s understand Rutherford scattering experiment step by step.

Rutherford’s Alpha Particle Scattering Experiment

In this experiment, Ernest Rutherford bombarded a beam of alpha particles with a very thin gold foil. The thickness of gold foil is approximately 0.00006 cm. The alpha particles were emitted from the radioactive substances such as radium or polonium. An alpha particle is a doubly ionized helium atoms or ions with two units of positive charge, mass number is equal to 4 and missing two electrons. It is represented as +2 He 4 or +2 α 4 .

The pictorial representation of Rutherford’s scattering experiment is shown in the below figure.

Rutherford alpha particle scattering experiment

From the above figure, it is clear that he produced a narrow beam of alpha particles from a radioactive substance like radium placed in a lead block and then passed it through a thin sheet of gold foil. A movable circular screen coated with Zinc Sulphide (ZnS) screen is placed around the gold foil in order to detect alpha particles after scattering.

When these alpha particles hit the screen, it produced a tiny flash of light (scintillation) on the screen, which could be observed through movable a microscope.

Observations from Alpha Particle Scattering Experiment

The following observations were made from the alpha particle scattering experiment:

  • Most of the alpha particles (nearly 99%) passed through the gold foil with little to no deflection. In other words, most of the alpha particle moved in the straight path with no deflection. This means that most of the space inside the atom is empty, as shown in the above figure.
  • Some of the alpha particles deflected with small angle, meaning that the positive charge of an atom occupies a tiny space.
  • A very few alpha particles (approx. 1 in 20,000) deflected back through the deflection of 180 degrees. This means that the whole positive charge and mass of the atom is concentrated in a very small volume inside the atom.

Thomson’s atomic model could not explain these observations. According to Thomson’s model of atom, positive charge and mass inside an atom are uniformly distributed throughout its volume.

Conclusion from Rutherford Scattering Experiment

After performing a series of scattering experiments, Rutherford concluded that:

  • Most of the space inside an atom is empty because most of the alpha particles passed through the gold foil undeflected.
  • There must be the presence of a heavy positively charged mass at the center of an atom because some of the alpha particles are deflected by a certain angle.
  • A heavy positively charged mass at the center of the atom is very small, which he named as nucleus.

Cause of deflection of alpha particles by a thin gold sheet.

On the basis of these observations, Sir Ernest Rutherford proposed the nuclear model of atom, which you will study in the next chapter.

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  • Alpha-Particle Scattering and Rutherford’s Nuclear Model of Atom

In 1911, Rutherford, along with his assistants, H. Geiger and E. Marsden, performed the Alpha Particle scattering experiment , which led to the birth of the ‘nuclear model of an atom ’ – a major step towards how we see the atom today.

Suggested Videos

J.j thomson’s plum-pudding model.

In 1897-98, the first model of an atom was proposed by J.J. Thomson. Famously known as the Plum-pudding model or the watermelon model, he proposed that an atom is made up of a positively charged ball with electrons embedded in it. Further, the negative and positive charges were equal in number , making the atom electrically neutral.

Figure 1 shows what Thomson’s plum-pudding model of an atom looked like. Ernest Rutherford, a former research student working with J.J. Thomson, proposed an experiment of scattering of alpha particles by atoms to understand the structure of an atom.

Rutherford, along with his assistants – H. Geiger and E. Marsden – started performing experiments to study the structure of an atom. In 1911, they performed the Alpha particle scattering experiment, which led to the birth of the ‘nuclear model of an atom’ – a major step towards how we see the atom today.

Pre alpha particle experiment

Figure 1. Source: Wikipedia

Browse more Topics under Atoms

  • Atomic Spectra
  • Bohr Model of the Hydrogen Atom

The Alpha Particle Scattering Experiment

They took a thin gold foil having a thickness of 2.1×10 -7 m and placed it in the centre of a rotatable detector made of zinc sulfide and a microscope. Then, they directed a beam of 5.5MeV alpha particles emitted from a radioactive source at the foil. Lead bricks collimated these alpha particles as they passed through them.

After hitting the foil, the scattering of these alpha particles could be studied by the brief flashes on the screen. Rutherford and his team expected to learn more about the structure of the atom from the results of this experiment.

Source: Wikipedia

Observations

Here is what they found:

  • Most of the alpha particles passed through the foil without suffering any collisions
  • Around 0.14% of the incident alpha particles scattered by more than 1 o
  • Around 1 in 8000 alpha particles deflected by more than 90 o

These observations led to many arguments and conclusions which laid down the structure of the nuclear model on an atom.

Conclusions and arguments

The results of this experiment were not in sync with the plum-pudding model of the atom as suggested by Thomson. Rutherford concluded that since alpha particles are positively charged, for them to be deflected back, they needed a large repelling force. He further argued that for this to happen, the positive charge of the atom needs to be concentrated in the centre, unlike scattered in the earlier accepted model.

Hence, when the incident alpha particle came very close to the positive mass in the centre of the atom, it would repel leading to a deflection. On the other hand, if it passes through at a fair distance from this mass, then there would be no deflection and it would simply pass through.

He then suggested the ‘nuclear model of an atom’ wherein the entire positive charge and most of the mass of the atom is concentrated in the nucleus. Also, the electrons are moving in orbits around the nucleus akin to the planets and the sun. Further, Rutherford also concluded from his experiments that the size of the nucleus is between 10 -15 and 10 -14 m.

According to Kinetic theory, the size of an atom is around 10 -10 m or around 10,000 to 100,000 times the size of the nucleus proposed by Rutherford. Hence, the distance of the electrons from the nucleus should be around 10,000 to 100,000 times the size of the nucleus.

This eventually implies that most of the atom is empty space and explains why most alpha particles went right through the foil. And, these particles are deflected or scattered through a large angle on coming close to the nucleus. Also, the electrons having negligible mass, do not affect the trajectory of these incident alpha particles.

Alpha Particle Trajectory

The trajectory traced by an alpha particle depends on the impact parameter of the collision. The impact parameter is simply the perpendicular distance of each alpha particle from the centre of the nucleus. Since in a beam all alpha particles have the same kinetic energy, the scattering of these particles depends solely on the impact parameter.

Hence, the particles with a small impact parameter or the particles closer to the nucleus, experience large angle of scattering. On the other hand, those with a large impact parameter suffer no deflection or scattering at all. Finally, those particles having ~zero impact parameter or a head-on collision with the nucleus rebound back.

Coming to the experiment, Rutherford and his team observed that a really small fraction of the incident alpha particles was rebounding back. Hence, only a small number of particles were colliding head-on with the nucleus. This, subsequently, led them to believe that the mass of the atom is concentrated in a very small volume.

Electron Orbits

In a nutshell, Rutherford’s nuclear model of the atom describes it as:

  • A small and positively charged nucleus at the centre
  • Surrounded by revolving electrons in their dynamically stable orbits

The centripetal force that keeps the electrons in their orbits is an outcome of:

  • The positively charged nucleus and
  • The negatively charged revolving electrons.

Solved Example for You

Question: Rutherford, Geiger and Marsden, directed a beam of alpha particles on a foil of which metal

Solution: Gold

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Rutherford’s Alpha Scattering Experiment

Rutherford’s Alpha Scattering Experiment is the fundamental experiment done by Earnest Rutherford’s Alpha Scattering Experiment that gives the fundamental about the structure of the atom. Rutherford in his experiment directed high-energy streams of α-particles from a radioactive source at a thin sheet (100 nm thickness) of gold. Then the deflection of these alpha particles tells us about the structure of atoms.

In this article, we will study about constituents of atoms, Rutherford’s  Alpha Scattering Experiment,

What are Constituents of an Atom?

An atom consists of Electrons, Protons, and Neutrons are the fundamental particles or sub-atomic particles that build the structure of an atom. Let us understand each term.

  • Electron: In 1897, J. J. Thomson discovered negatively charged particles towards the anode, these rays are emitted by the cathode in a cathode ray experiment. Then these negatively charged particles are proposed as Electrons .
  • Protons: In 1886, Ernest Goldstein discovered that an anode emitted positively charged particles with a different condition in the same tube,  known as Canal rays or as Protons .
  • Neutrons: A subatomic particle with no charge and a mass equivalent to protons in the nucleus of all atoms was discovered by J. Chadwick. These neutrally charged particles are termed Neutrons .

The image added below shows the structure of an atom.

Learn more about, Atomic Structure

Structure-of-Atom

Structure of Atom

Isotopes are the elements that have the same atomic number but different mass. e.g. Isotopes of the Hydrogen atoms are Protium ( 1 H 1 ), Deuterium ( 2 H 1 ) and Tritium( 3 H 1 ). Isotopes of the Carbon atoms are 12 C 6 , 13 C 6 , 14 C 6 .

Isobars are the elements that have different atomic number but have same mass number. e.g. 19 K 40 , 18 Ar 40 , 20 Ca 40 , here all the elements having same mass number hence they are isobars.

He conduct an experiment by bombarding alpha particles into a thin sheet of gold and then notices their interaction with the gold foil and trajectory or path followed by these particles.

Rutherford's Alpha Scattering Experiment

In the experiment, Rutherford passes very high streams of alpha-particles from a radioactive source i.e. alpha-particle emitter, at a thin sheet of100 nm thickness of gold. In order to examine the deflection produced by the alpha particles, he placed a screen of fluorescent zinc sulphide around the thin gold foil. Rutherford made certain observations that oppose Thomson’s atomic model.

Observations of Rutherford’s Alpha Scattering Experiment

The observations of Rutherford’s Alpha Scattering Experiment are:

  • First, he observe that most of the α-particles that are bombarded towards the gold sheet pass away the foil without any deflection, and hence it shows most of the space is empty.
  • Out of all, some of the α-particles were deflected through the gold sheet by very small angles, and hence it shows the positive charge in an atom is non-uniformly distributed. The positive charge is concentrated in a very small volume in an atom.
  • Very few of the alpha-particles(1-2%) were deflected back, i.e. only a very less amount of α-particles had nearly 180° angle of deflection. this shows that the volume occupied by the positively charged particles is very small as compared to the total volume of an atom.

Rutherford Atomic Model

Rutherford proposed the atomic structure of elements, on the basis of his experiment. According to Rutherford’s atomic model:

  • Positively charged particle was concentrated in an extremely small volume and most of the mass of an atom was also in that volume. He called this a nucleus of an atom.
  • Rutherford proposed that there is negatively charged electrons around the nucleus of an atom. the electron surrounding the nucleus revolves around it in a circular path with very high speed. He named orbits to these circular paths.
  • Nucleus being a densely concentrated mass of positively charged particles and electrons being negatively charged are held together by a strong force of attraction called electrostatic forces of attraction.

Learn about, Rutherford Atomic Model

Limitations of Rutherford Atomic Model

The Rutherford atomic model is failed to explain certain things.

  • According to Maxwell, an electron revolving around the nucleus should emit electromagnetic radiation due to accelerated charged particles emit electromagnetic radiation. but Rutherford model says that the electrons revolve around the nucleus in fixed paths called orbits. The radiation would carry energy from the motion which led to the shrinking of orbit. Ultimately electrons would collapse inside the nucleus.
  • As per the Rutherford model, calculations have shown that an electron would collapse in the nucleus in less than 10 -8 seconds. So Rutherford model has created a high contradiction with Maxwell’s theory and Rutherford later could not explain the stability of an atom.
  • Rutherford also did not describe the arrangement of electrons in the orbit as one of the other drawbacks of his model.

Regardless of seeing the early atomic models were inaccurate and failed to explain certain experimental results, they were the base for future developments in the world of quantum mechanics.

Sample Questions on Rutherford’s Alpha Scattering Experiment

Some sample questions on Rutherford’s Alpha Scattering Experiment is,

Q1: Represent Element ‘X’ which contains 15 electrons and 16 neutrons.

Atomic number of element = No. of electron = 15 Mass number of element = no. of electrons + no. of neutrons = 15 + 16 = 31 Correct representation of element X is 31 X 15 .

Q2: Name particle and give its location in the atom which has no charge and has a mass nearly equal to that of a proton.

The particle which has no charge and has a mass nearly equal to that of a proton is a neutron and it is present in the nucleus of the atom.

Q3: An atom has both electron attribute negative charge and protons attribute positive charge but why there is no charge?

Positive and negative charges of protons and electrons are equal in magnitude, they cancel the effect of each other. So, the atom as a whole is electrically neutral.

Q4: What is Valency of Sodium Atom (Na)?

The atomic number of sodium = 11. Electronic configuration (2, 8, 1). By losing one electron it gains stability hence its valency is 1.

Q5: Which property do the following pairs show? 209 X 84 and 210 X 84

Atomic number of X is the same hence the pair shows an isotopic property. So, 209 X 84 and 210 X 84 are isotopes.
Dalton’s Atomic Theory Thomson’s Atomic Model Quantum Numbers

Rutherford’s Alpha Scattering Experiment FAQs

What is name of atom which has one electron, one proton and no neutron.

Atom with one electron, one proton and no neutron is Hydrogen, ( 1 H 1 ).

What is Ground State of an Atom?

It is the state of an atom where all the electrons in the atom are in their lowest energy state or levels is called the ground state.

What was Rutherford’s Alpha Particle Scattering Experiment?

Rutherford’s Alpha Particle Scattering Experiment is the fundamental experiment that gives the basic structure of an atom.

What was Conclusion of Rutherford’s Alpha Scattering Experiment?

Conclusion of Rutherford’s Alpha Scattering Experiment is, Atom is largely empty and has a heavy positive-charged body at the center called the nucleus. The central nucleus is positively charged and the negatively-charged electrons revolve around the nucleus.

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IMAGES

  1. Explain Rutherford's alpha

    briefly explain rutherford alpha particle scattering experiment

  2. Rutherford's Alpha Scattering Experiment

    briefly explain rutherford alpha particle scattering experiment

  3. Rutherford Alpha Particle Scattering Experiment

    briefly explain rutherford alpha particle scattering experiment

  4. Explain Rutherford’s \\[\\alpha \\] ray scattering experiment with a

    briefly explain rutherford alpha particle scattering experiment

  5. Explain Rutherford's alpha

    briefly explain rutherford alpha particle scattering experiment

  6. Rutherford’s Alpha Scattering Experiment

    briefly explain rutherford alpha particle scattering experiment

VIDEO

  1. Conclusion of Rutherford alpha scattering experiment (Lecture -9) ( class -11)

  2. ATOMS-01|| Rutherford Alpha Particle Scattering Experiment ||Closest Approach || Impact Parameter ||

  3. Lecture 1

  4. Rutherford Experiment

  5. A Level Physics (EDEXCEL): Rutherford’s Alpha Particle Scattering Experiment

  6. Introduction || Alpha-particle Scattering and Rutherford’s Nuclear Model of Atom ||

COMMENTS

  1. Explain Rutherford's alpha-ray scattering experiment with a ...

    Conclusion of Rutherford's scattering experiment: 1. Most of the space inside the atom is empty because most of the α -particles passed through the gold foil without getting deflected. 2. Very few particles were deflected from their path, indicating that the positive charge of the atom occupies very little space. 3.

  2. Rutherford Scattering Experiment

    This experiment is based on the alpha particles (helium nuclei) experiment. The Rutherford's alpha particle scattering experiment is one of the most important experiments in the history of atomic physics. It laid the foundation for the modern understanding of the atom, challenging earlier models and introducing the concept of an atomic nucleus.

  3. Rutherford scattering experiments

    Rutherford scattering experiments

  4. Rutherford's alpha scattering experiment

    Rutherford and Royds showed that an alpha particle was a helium-4 nucleus in 1909. Rutherford knew that alpha radiation had a range of about 5 cm in air, and its range in denser materials had been measured. Experiment: Alpha, beta and gamma radiations can be distinguished by their penetrating powers. Identifying the three types of ionising ...

  5. Rutherford Scattering

    Rutherford Scattering

  6. PDF The Rutherford Scattering Experiment

    The essential idea of Rutherford's theory is to consider the α-particle as a charged mass traveling according to the classical equations of motion in the Coulomb field of a nucleus. The dimensions of both the α-particle and nucleus are assumed to be small compared to atomic dimensions (10−5 of the atomic diameter).

  7. Alpha-Particle Scattering and Rutherford's Nuclear Model of Atom

    Alpha Particle Scattering and Rutherford's Nuclear Model ...

  8. PDF Rutherford Scattering Lab Guide

    the scattering of alpha particles. Alpha particles, as Rutherford himself had recently demonstrated, are the positively charged emanations of radioactive substances. They are also bare helium nuclei. According to the raisin pudding model, an alpha particle traversing a thin gold film should experience many small angle deflections as it

  9. PDF RUTHERFORD SCATTERING

    RUTHERFORD SCATTERING

  10. Episode 521: Rutherford's experiment

    Episode 521-5: A model for Rutherford scattering (Word, 37 KB) A good simulation of alpha particle scattering could be used if desired. Student questions (optional): Rutherford experiment and atomic structure. Episode 521-6: Rutherford experiment and atomic structure (Word, 28 KB) Question: Rutherford's results (optional) Some actual results ...

  11. PDF RUT

    The Rutherford Scattering Experiment, in which particles are scattered by a gold foil, is one of the most famous experiments ever performed in physics, because it demonstrated the validity of the nuclear model ... (alpha particle), particle 2 is the gold nucleus, and E is the kinetic

  12. Rutherford Scattering

    8.1.1 Rutherford Scattering | AQA A Level Physics Revision ...

  13. PDF The Rutherford Scattering Experiment

    The essential idea of Rutherford's theory is to consider the -particle as a charged mass traveling according to the classical equations of motion in the Coulomb field of a nucleus. The dimensions of both the -particle and nucleus are assumed to be small compared to atomic dimensions (10 5 of the atomic diameter).

  14. Rutherford Atomic Model Observations and Limitations In Detail

    Rutherford Atomic Model and Limitations

  15. Rutherford Scattering

    Rutherford Scattering - Atomic Nuclei

  16. Rutherford's Alpha Scattering Experiment

    Rutherford Scattering Experiment and Atomic Model

  17. Alpha-Particle Scattering Experiment

    Here is the list of properties of alpha rays -. Particle's nature - The alpha rays are positively charged particles that consist of 4He2 nuclei. Charge on the particles - The alpha rays have two positive (+) charge units. This means it is +2e. Mass of the particles - The mass of the alpha particles is 6.6466 × 10-27 kg.

  18. 'Rutherford's experiment' on alpha particles scattering: the experiment

    The so-called Rutherford's experiment, as it is outlined in many physics textbooks, is a case in point of the flaws around the history at the educational level of one of the decisive event of modern physics: the discovery that the atom has a nucleus.This paper shows that this alleged experiment is a very approximate and very partial synthesis of a series of different particle scattering ...

  19. Describe Rutherford's scattering experiment.

    List out the characters of anode rays. Describe Rutherford model of an atom. Describe the properties of cathode rays. State the conclusion drawn by Alpha ray scattering experiment of Rutherford. Q. ___ thin foil was used by Rutherford for alpha - scattering experiment. Q. In Rutherford alpha-scattering experiment, a foil of ____________ was used.

  20. a Explain briefly how Rutherford scattering of α particle by a target

    (a) On the basis of Rutherford scattering experiment following observations were made: (1) Most of the α-particles passed through the foil without any deviation. (2) About 0.14 % of incident α-particles scattered by more than 1 ∘. (3) Deflection of more than 90 ∘ was observed in about 0.0125 % of the incident α-particles.