Cambridge IGCSE0625

The nuclear model of the atom

Physics 0625 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. The Particles Inside an Atom

At the heart of chemistry and physics is the atom, the basic building block of all matter. The modern model describes the atom as being composed of three fundamental subatomic particles. At the centre is a tiny, incredibly dense nucleus. The nucleus contains positively charged protons and uncharged neutrons. Protons and neutrons are collectively called nucleons, and they account for almost all of the atom's mass. Orbiting the nucleus in regions of space called shells or energy levels are negatively charged electrons. Electrons are vastly lighter than nucleons. In a neutral atom, the number of electrons is equal to the number of protons, so the overall charge is zero. The powerful electrostatic force of attraction between the positive nucleus and negative electrons keeps the electrons in their orbits, while an even stronger force, the strong nuclear force, binds the protons and neutrons together within the nucleus, overcoming the electrostatic repulsion between the protons.

Key term

Nucleus: The tiny, dense, positively charged central core of an atom, containing protons and neutrons.

Examiner insight

Examiners expect you to be precise about the relative masses and charges of the subatomic particles, not just their names.

Common pitfall

Forgetting that protons and neutrons have approximately the same mass, while an electron's mass is negligible in comparison.

Fun fact

If an atom were the size of a football stadium, its nucleus would be the size of a pea placed on the centre spot, yet it contains over 99.9% of the atom's mass.

Worked example 14 marks

The table below shows some properties of the three particles that make up an atom. Complete the table.

  1. 1

    Particle: Proton, Relative Charge: +1, Relative Mass: 1, Location: In the nucleus

  2. 2

    Particle: Neutron, Relative Charge: 0, Relative Mass: 1, Location: In the nucleus

  3. 3

    Particle: Electron, Relative Charge: -1, Relative Mass: ~1/1840 (or very small), Location: Orbiting the nucleus

Worked example 22 marks

Explain why an atom is normally electrically neutral.

  1. 1

    Step 1: Identify the charged particles in an atom. Protons are positive (+1) and electrons are negative (-1).

  2. 2

    Step 2: State the condition for neutrality. For an object to be neutral, the total positive charge must balance the total negative charge.

  3. 3

    Step 3: Apply this to the atom. A normal atom has an equal number of protons and electrons. Therefore, the total positive charge from the protons is cancelled out by the total negative charge from the electrons, resulting in an overall charge of zero.

Recap

  • Atoms contain protons, neutrons, and electrons.
  • Protons (+1 charge) and neutrons (0 charge) are in the central nucleus.
  • Electrons (-1 charge) orbit the nucleus in shells.
  • Protons and neutrons have a relative mass of 1; electrons are much lighter (~1/1840).
  • Most of the atom's mass is concentrated in its nucleus.
  • In a neutral atom, the number of protons equals the number of electrons.

Quick check

  1. What is the relative charge of a neutron?1 mark
  2. Which two particles are found in the nucleus of an atom?1 mark

2. Atomic Number and Mass Number

To distinguish between different atoms, we use two key numbers: the atomic number and the mass number. The atomic number (symbol Z), also called the proton number, is the number of protons in an atom's nucleus. This number is fundamental because it defines the element. For example, any atom with 6 protons is a carbon atom, and any atom with 8 protons is an oxygen atom. The mass number (symbol A), also called the nucleon number, is the total number of protons and neutrons in the nucleus. Since we know the number of protons (Z) and the total number of nucleons (A), we can easily find the number of neutrons (N) by subtracting the atomic number from the mass number: N = A - Z. These numbers are written in a standard format called nuclide notation: $^{A}_{Z}X$, where X is the chemical symbol for the element.

Number of neutrons = Mass Number (A) – Atomic Number (Z)

Key term

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

Examiner insight

Marks are frequently awarded for correctly using nuclide notation to deduce the number of protons, neutrons, and electrons in a neutral atom or an ion.

Common pitfall

Confusing the mass number (the count of nucleons) with the relative atomic mass found on the periodic table (which is an average for isotopes).

Worked example 13 marks

An atom of sodium is represented by the symbol $^{23}_{11}$Na. State the number of protons, neutrons, and electrons in a neutral sodium atom.

  1. 1

    Step 1: Identify the atomic number (Z) and mass number (A). From $^{23}_{11}$Na, the bottom number is Z=11 and the top number is A=23.

  2. 2

    Step 2: The number of protons is equal to the atomic number. Number of protons = Z = 11.

  3. 3

    Step 3: The number of electrons in a neutral atom is equal to the number of protons. Number of electrons = 11.

  4. 4

    Step 4: The number of neutrons is the mass number minus the atomic number. Number of neutrons = A - Z = 23 - 11 = 12.

  5. 5

    Answer: 11 protons, 12 neutrons, 11 electrons.

Recap

  • Atomic number (Z) is the number of protons and defines the element.
  • Mass number (A) is the total number of protons and neutrons.
  • The number of neutrons is calculated by A - Z.
  • In a neutral atom, the number of electrons equals the number of protons (Z).
  • Nuclide notation is written as $^{A}_{Z}X$.

Quick check

  1. How many neutrons are in an atom of uranium, $^{235}_{92}$U?1 mark
  2. An atom has 13 protons and 14 neutrons. What is its mass number?1 mark

3. Isotopes: Variations of an Element

While the number of protons 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. For example, every carbon atom has 6 protons. However, some carbon atoms have 6 neutrons (giving a mass number of 12), while others might have 7 neutrons (mass number 13) or 8 neutrons (mass number 14). These are all isotopes of carbon, written as carbon-12 ($^{12}_{6}$C), carbon-13 ($^{13}_{6}$C), and carbon-14 ($^{14}_{6}$C). Because isotopes of an element have the same number of protons, they also have the same number of electrons in their neutral state. Since chemical reactions are determined by the electron configuration, isotopes have identical chemical properties. However, their different masses and nuclear structures mean they can have different physical properties, such as density, rate of diffusion, and nuclear stability (i.e., whether they are radioactive).

Key term

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

Examiner insight

A complete definition of isotopes, which is often a 2-mark question, must mention both the same number of protons AND a different number of neutrons.

Common pitfall

Stating that isotopes have different chemical properties. Chemical behaviour is dictated by electrons, and isotopes of an element have the same number of electrons.

Worked example 13 marks

Chlorine has two main isotopes: chlorine-35 ($^{35}_{17}$Cl) and chlorine-37 ($^{37}_{17}$Cl). Compare the structure of a neutral atom of each isotope.

  1. 1

    Step 1: State what is the same. Both are isotopes of chlorine, so they have the same atomic number (Z=17). This means both have 17 protons and, being neutral, both have 17 electrons.

  2. 2

    Step 2: State what is different. They have different mass numbers (A=35 and A=37). This is because they have different numbers of neutrons.

  3. 3

    Step 3: Calculate the number of neutrons for each. For chlorine-35, neutrons = 35 - 17 = 18. For chlorine-37, neutrons = 37 - 17 = 20.

  4. 4

    Summary: Both have 17 protons and 17 electrons. Chlorine-35 has 18 neutrons, while chlorine-37 has 20 neutrons.

Recap

  • Isotopes have the same number of protons but a different number of neutrons.
  • Isotopes are atoms of the same element.
  • Isotopes have the same atomic number but different mass numbers.
  • Isotopes have identical chemical properties but can have different physical properties.
  • The notation 'element-A' (e.g., carbon-14) specifies an isotope by its mass number.

Quick check

  1. The nuclides $^{12}_{6}$C and $^{14}_{6}$C are isotopes. What is the key difference between them?1 mark
  2. An atom has 8 protons and 9 neutrons. An isotope of this atom could have 8 protons and how many neutrons?1 mark

4. Evidence for the Nuclear Model

Before 1911, the accepted model of the atom was J.J. Thomson's 'plum pudding' model, which suggested a sphere of positive charge with negative electrons embedded within it. To test this, Ernest Rutherford's team conducted the famous alpha particle scattering experiment. They fired a narrow beam of fast-moving, positively charged alpha particles at a very thin sheet of gold foil. Based on the plum pudding model, they expected the particles to pass straight through with only minor deflections. The results were astonishing and led to three crucial conclusions:

  1. Observation: Most alpha particles passed straight through the foil undeflected. Conclusion: The atom is mostly empty space.
  2. Observation: A small number of alpha particles were deflected by small angles. Conclusion: There is a concentration of positive charge in the atom that repels the positive alpha particles. This was named the nucleus.
  3. Observation: A very tiny fraction (about 1 in 8000) were deflected by more than 90°, some even bouncing straight back. Conclusion: The nucleus must be extremely small, dense, and contain most of the atom's mass to cause such a strong repulsion and recoil.

These results destroyed the plum pudding model and gave birth to the nuclear model of the atom: a tiny, massive, positive nucleus surrounded by a large volume of empty space in which electrons orbit.

Key term

Alpha Particle (α): A positively charged particle consisting of two protons and two neutrons, identical to a helium nucleus, used as a probe in the Rutherford scattering experiment.

Examiner insight

To get full marks for explaining the evidence, you must clearly link each specific observation from the scattering experiment to a specific conclusion about the atom's structure.

Common pitfall

Simply stating that alpha particles were 'deflected' without specifying that most passed through undeflected, and that only a tiny fraction were deflected by large angles. The proportions are crucial evidence.

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

Explain how the results of the alpha particle scattering experiment led to the conclusion that an atom's mass is concentrated in a very small nucleus.

  1. 1

    Step 1: State the relevant observation. A very small proportion of alpha particles were deflected through very large angles, some greater than 90 degrees.

  2. 2

    Step 2: Explain the physics of the interaction. Alpha particles are positive and relatively massive. To be deflected by such a large angle requires a collision with something very massive and with a strong repulsive force.

  3. 3

    Step 3: Link the observation to the conclusion. The strong electrostatic repulsion implies the atom's positive charge is concentrated in a small volume (not spread out as in the plum pudding model). The fact that the alpha particle 'bounces back' implies it has collided with something much more massive than itself. Therefore, both the positive charge and the mass must be concentrated in a tiny, dense nucleus.

Recap

  • Rutherford's experiment fired alpha particles at thin gold foil.
  • Most particles passing through proved the atom is mostly empty space.
  • Small deflections proved the existence of a positive nucleus.
  • Large-angle back-scattering proved the nucleus is tiny, dense, and massive.
  • This experiment provided the evidence that replaced the 'plum pudding' model with the nuclear model.

Quick check

  1. In the alpha scattering experiment, what observation showed that the nucleus is positively charged?1 mark
  2. What did the 'plum pudding' model of the atom propose?1 mark

End-of-chapter exercise

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

  1. Define the term 'isotope', referring to the subatomic particles within the atom.2 marks
  2. A neutral atom of potassium is represented by the nuclide symbol $^{39}_{19}$K. Determine the number of protons, neutrons, and electrons in this atom.3 marks
  3. Compare the plum pudding model of the atom with the Rutherford nuclear model. State two key differences.4 marks
  4. The Rutherford alpha scattering experiment was a pivotal moment in science. Describe the three main observations made during the experiment.3 marks
  5. For each of the three observations you described in the previous question, state the conclusion that Rutherford drew about the structure of the atom.3 marks
  6. Uranium-235 ($^{235}_{92}$U) and Uranium-238 ($^{238}_{92}$U) are two isotopes of uranium. State one similarity and two differences in the composition of their neutral atoms.3 marks
  7. A magnesium ion has the symbol Mg$^{2+}$. An atom of the isotope magnesium-25 forms this ion. Calculate the number of protons, neutrons, and electrons in the Mg$^{2+}$ ion.4 marks
  8. In the table below, identify which two nuclides are isotopes of the same element. Explain your choice. Nuclide A: 12 protons, 12 neutrons. Nuclide B: 13 protons, 12 neutrons. Nuclide C: 12 protons, 14 neutrons.2 marks
  9. Explain why the results of the alpha scattering experiment could not be explained by the 'plum pudding' model of the atom.4 marks
  10. Complete the following sentences: In Rutherford's nuclear model, most of the atom is __________. The nucleus is small, dense, and has a __________ charge. The mass of the atom is concentrated in the __________.3 marks

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