Cambridge IGCSE0972

The nuclear model of the atom

Physics 0972 Chapter Notes

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The nuclear model of the atom - The atomThe nuclear model of the atom - The nucleus
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1. Early Atomic Models: The Plum Pudding

Before we understood the modern atom, scientists had different ideas. In the early 1800s, John Dalton suggested atoms were tiny, indivisible spheres. Later, in 1897, J.J. Thomson discovered the electron, a tiny, negatively charged particle. This meant atoms could be divided. To explain this, Thomson proposed the 'plum pudding model' in 1904. He imagined the atom as a sphere of uniform positive charge, with negative electrons dotted throughout it, like plums in a pudding. The total positive charge balanced the total negative charge, making the atom neutral overall.

Key term

Plum Pudding Model: An early atomic model suggesting the atom is a sphere of positive charge with negatively charged electrons embedded within it.

Examiner insight

Examiners look for the key features: a sphere of positive charge and embedded electrons. Simply saying 'positive and negative charges mixed together' is too vague.

Common pitfall

Confusing the plum pudding model with Rutherford's model, particularly regarding the location and distribution of the positive charge.

Worked example 13 marks

Describe J.J. Thomson's 'plum pudding' model of the atom. [3 marks]

  1. 1
    1. The model describes the atom as a sphere of uniform positive charge.
  2. 2
    1. Negatively charged electrons are distributed or embedded throughout this sphere.
  3. 3
    1. The overall charge of the atom is neutral because the total negative charge of the electrons balances the positive charge of the sphere.

Recap

  • J.J. Thomson discovered the electron in 1897.
  • The plum pudding model was proposed to include the newly discovered electron.
  • In this model, the atom is a sphere of positive charge.
  • Negative electrons are embedded within the positive sphere.
  • The atom is electrically neutral overall.

Quick check

  1. Who proposed the plum pudding model of the atom?1 mark
  2. According to the plum pudding model, what is the charge of the 'pudding' itself?1 mark

2. The Alpha Scattering Experiment

In 1911, Ernest Rutherford's team, Geiger and Marsden, conducted a groundbreaking experiment. They fired a narrow beam of fast-moving, positively charged alpha particles at a very thin sheet of gold foil inside a vacuum. A circular detector screen around the foil would light up wherever an alpha particle hit it, allowing them to observe the particles' paths. The results were completely unexpected and could not be explained by the plum pudding model.

Key term

Alpha Particle (α): A positively charged particle, identical to a helium nucleus, consisting of two protons and two neutrons.

Examiner insight

To gain full marks, you must state what happened to 'most', 'some', and 'a very few' particles. Be specific about the different outcomes.

Fun fact

Rutherford famously said of the back-scattering result: 'It was almost as incredible as if you fired a 15-inch shell at a piece of tissue paper and it came back and hit you.'

Worked example 13 marks

Describe the three main observations from Rutherford's alpha particle scattering experiment. [3 marks]

  1. 1
    1. Most alpha particles passed straight through the gold foil with no deflection.
  2. 2
    1. A small number of alpha particles were deflected by small angles as they passed through the foil.
  3. 3
    1. A very small number (about 1 in 8000) were deflected by large angles, greater than 90 degrees, effectively 'bouncing back'.

Recap

  • The experiment involved firing alpha particles at thin gold foil.
  • The setup was in a vacuum to prevent air from interfering with the alpha particles.
  • Observation 1: Most particles passed straight through.
  • Observation 2: Some particles were deflected by small angles.
  • Observation 3: A tiny fraction of particles were deflected by more than 90°.

Quick check

  1. What were the projectiles used in the Rutherford scattering experiment?1 mark
  2. What was the target material in the experiment?1 mark

3. Rutherford's Nuclear Model

The surprising results of the scattering experiment led Rutherford to propose a new model for the atom. He reasoned that the experimental observations could only be explained if the atom's structure was radically different from the plum pudding idea.

  1. Most particles passed straight through: This implies that the atom is mostly empty space.
  2. Some particles were deflected: The positive alpha particles were being repelled by a concentration of positive charge within the atom.
  3. A few particles bounced back: This meant the alpha particles had hit something very small, very massive, and with a strong positive charge.

Rutherford concluded that the atom has a tiny, dense, positively charged nucleus at its centre, containing almost all the mass. The much lighter, negatively charged electrons orbit this nucleus at a distance, much like planets orbiting the Sun. The volume of the atom is defined by these orbits, explaining why the atom is mostly empty space.

Key term

Nucleus: The very small, dense, positively charged central region of an atom, containing protons and neutrons.

Common pitfall

Stating that the nucleus is just 'positive' without also mentioning that it is small, dense, and contains most of the mass. All these features are key conclusions.

Worked example 12 marks

Explain how one key observation from the alpha particle scattering experiment led to the conclusion that the atom is mostly empty space. [2 marks]

  1. 1
    1. The observation was that most alpha particles passed straight through the gold foil undeflected.
  2. 2
    1. This implies that there were no charges or mass in their path to cause deflection, meaning most of the atom's volume must be empty space.

Worked example 23 marks

Explain how the results of the alpha scattering experiment showed that the nucleus must be small and positively charged. [3 marks]

  1. 1
    1. The deflection and repulsion of some alpha particles showed the nucleus has a positive charge, as it repelled the positive alpha particles (like charges repel).
  2. 2
    1. The fact that only a very small number of particles were deflected by large angles shows that the chance of a direct 'hit' is very low.
  3. 3
    1. Therefore, the nucleus must be very small compared to the size of the whole atom.

Recap

  • The nuclear model was created to explain the results of the alpha scattering experiment.
  • Conclusion 1: The atom is mostly empty space.
  • Conclusion 2: The atom has a small, dense, central nucleus.
  • Conclusion 3: The nucleus is positively charged and contains most of the atom's mass.
  • Electrons are proposed to orbit this nucleus.

Quick check

  1. What conclusion was drawn from the observation that a very few alpha particles were deflected by large angles?1 mark

4. Subatomic Particles

The nuclear model was further refined with the discovery of the particles that make up the atom. An atom consists of three main subatomic particles: protons, neutrons, and electrons. Protons and neutrons are found together in the nucleus and are collectively called nucleons. Electrons orbit the nucleus in shells. The number of protons defines the element. In a neutral atom, the number of electrons is equal to the number of protons, so the overall charge is zero.

ParticleRelative MassRelative ChargeLocation
Proton1+1Nucleus
Neutron10Nucleus
Electron~1/1840-1Orbiting nucleus

Two important numbers describe the composition of a nucleus: the Atomic Number (Z) is the number of protons, and the Mass Number (A) is the total number of protons and neutrons.

A = Z + N (Mass Number = Atomic Number + Neutron Number)

Key term

Atomic Number (Z): The number of protons in the nucleus of an atom, which uniquely identifies an element.

Examiner insight

Be very clear about the difference between mass number (protons + neutrons) and atomic number (protons). Marks are often lost by mixing these two up.

Fun fact

The strong nuclear force that holds protons and neutrons together in the nucleus is about 100 times stronger than the electromagnetic force that tries to push the protons apart!

Worked example 13 marks

A neutral atom of lithium is represented as ⁷₃Li. Determine the number of protons, neutrons, and electrons in this atom. [3 marks]

  1. 1
    1. The atomic number (bottom number, Z) is 3. This means there are 3 protons.
  2. 2
    1. Since the atom is neutral, the number of electrons must equal the number of protons. So, there are 3 electrons.
  3. 3
    1. The mass number (top number, A) is 7. The number of neutrons is A - Z = 7 - 3 = 4 neutrons.

Recap

  • Atoms contain protons (+1 charge), neutrons (0 charge), and electrons (-1 charge).
  • Protons and neutrons are in the nucleus; electrons orbit the nucleus.
  • Protons and neutrons have a relative mass of 1; electrons have a negligible mass.
  • The atomic number (Z) is the number of protons.
  • The mass number (A) is the total number of protons and neutrons.
  • In a neutral atom, the number of protons equals the number of electrons.

Quick check

  1. An atom has 8 protons, 8 neutrons and 8 electrons. What is its atomic number and mass number?2 marks

5. Isotopes and Nuclide Notation

While the number of protons (Atomic Number, Z) defines an element, the number of neutrons can vary. Atoms of the same element that have the same number of protons but different numbers of neutrons are called isotopes. Because they have the same number of protons and electrons, isotopes of an element have identical chemical properties (e.g., how they react). However, they have different mass numbers and thus different physical properties, such as density and rate of diffusion. For example, all carbon atoms have 6 protons. Carbon-12 has 6 neutrons, while the radioactive isotope Carbon-14 has 8 neutrons. We use nuclide notation to represent them: the mass number (A) is written as a superscript and the atomic number (Z) as a subscript, both to the left of the element symbol (e.g., ¹⁴₆C).

^A_Z X

Key term

Isotopes: Atoms of the same element that have the same number of protons but different numbers of neutrons.

Common pitfall

Confusing isotopes with ions. Isotopes have a different number of neutrons (affecting mass), while ions have a different number of electrons (affecting charge).

Worked example 14 marks

Chlorine has two main isotopes: Chlorine-35 (³⁵₁₇Cl) and Chlorine-37 (³⁷₁₇Cl). For each isotope, state the number of protons, neutrons and electrons in a neutral atom. [4 marks]

  1. 1
    1. For Chlorine-35 (³⁵₁₇Cl): Atomic number Z=17, so it has 17 protons. As it's neutral, it has 17 electrons.
  2. 2
    1. Number of neutrons = Mass number A - Atomic number Z = 35 - 17 = 18 neutrons.
  3. 3
    1. For Chlorine-37 (³⁷₁₇Cl): Atomic number Z=17, so it has 17 protons. As it's neutral, it has 17 electrons.
  4. 4
    1. Number of neutrons = Mass number A - Atomic number Z = 37 - 17 = 20 neutrons.

Recap

  • Isotopes are atoms of the same element with different numbers of neutrons.
  • Isotopes have the same atomic number (Z) but different mass numbers (A).
  • Because electron configuration determines chemical reactivity, isotopes have the same chemical properties.
  • Isotopes have different physical properties due to their different masses.
  • Nuclide notation (^A_Z X) is used to represent specific isotopes.

Quick check

  1. Uranium-235 and Uranium-238 are isotopes. What is the same and what is different about the composition of their nuclei?2 marks

End-of-chapter exercise

Test yourself on the whole chapter. Work through these before moving on.

  1. Describe the 'plum pudding' model of the atom and state who proposed it.3 marks
  2. State the relative mass and relative charge of a proton, a neutron, and an electron.3 marks
  3. Describe the experimental setup of the Rutherford-Geiger-Marsden alpha particle scattering experiment.4 marks
  4. Explain how the three main observations from the alpha particle scattering experiment led to the development of the nuclear model of the atom, replacing the plum pudding model.6 marks
  5. Define the terms 'atomic number' and 'mass number'.2 marks
  6. A neutral atom of sodium is represented by the symbol ²³₁₁Na. Determine the number of protons, neutrons, and electrons in this atom.3 marks
  7. Hydrogen has three isotopes: Protium (¹₁H), Deuterium (²₁H), and Tritium (³₁H). In terms of subatomic particles, compare the structure of a Deuterium atom with a Protium atom.3 marks
  8. Explain, in terms of subatomic particles, why an atom is electrically neutral.2 marks
  9. Describe two major differences between Rutherford's nuclear model of the atom and the earlier plum pudding model.4 marks
  10. Rutherford's model had a major flaw regarding the stability of electron orbits. Briefly explain this flaw and state how Niels Bohr's refinement to the model addressed it.4 marks

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