Study Guide

Isotopes

CIE A-Level PhysicsΒ· 9702 Learning Outcome 11.1.2Β· 10 min read

1. Definition and Key Properties of Isotopesβ˜…β˜†β˜†β˜†β˜†β± 3 min

πŸ“˜ Definition

Isotopes

Isotopes are nuclides of the same chemical element, meaning they have the same number of protons in the nucleus, but different numbers of neutrons.

Example:

Carbon has two common isotopes: carbon-12 (6 protons, 6 neutrons) and carbon-14 (6 protons, 8 neutrons).

Chemical reactions involve interactions between an atom's electrons. For neutral atoms, electron number equals proton number, so isotopes have identical chemical properties. They can only be separated by physical methods that exploit their different masses, not chemical reactions.

πŸ“ Worked Example

Neutral chlorine has two common isotopes: chlorine-35 and chlorine-37. Compare the number of protons, neutrons, and electrons in each.

  1. 1

    Chlorine is element 17, so proton number for all chlorine isotopes. Proton number defines the element, so proton count is identical:

    Number of protons=17 for both\text{Number of protons} = 17 \text{ for both}
  2. 2

    Nucleon (mass) number , so rearrange to get neutrons =

  3. 3

    Calculate for chlorine-35 ():

    Neutrons=35βˆ’17=18\text{Neutrons} = 35 - 17 = 18
  4. 4

    Calculate for chlorine-37 ():

    Neutrons=37βˆ’17=20\text{Neutrons} = 37 - 17 = 20
  5. 5

    For neutral atoms, electron number equals proton number:

    Electrons=17 for both\text{Electrons} = 17 \text{ for both}

2. Nuclide Notation for Isotopesβ˜…β˜…β˜†β˜†β˜†β± 3 min

CIE exams always use standard nuclide notation to represent isotopes, so you must be able to interpret and write this notation correctly.

πŸ“˜ Definition

Standard Nuclide Notation

ZAX^A_ZX

The standard format for isotopes: = total nucleon number (protons + neutrons), = proton number, = chemical symbol of the element.

πŸ“ Worked Example

Write the nuclide notation for an oxygen isotope with 10 neutrons.

  1. 1

    Oxygen always has a proton number , so that is our bottom number.

  2. 2

    Calculate nucleon number: , this is our top number.

  3. 3

    Oxygen's chemical symbol is O, so the full notation is:

    818O^{18}_{8}\text{O}
βœ“ Quick check

Test your understanding of notation:

  1. What do and represent?

    • Different elements with the same number of neutrons

    • Isotopes of the same element

    • Different elements with different mass numbers

    • The same nuclide written differently

    Reveal answer
    1 β€”

    Same element symbol X means same proton number Z, different top numbers mean different mass, so these are isotopes.

3. Common Uses of Isotopesβ˜…β˜…β˜†β˜†β˜†β± 4 min

Isotopes have many practical applications that are often used as context for exam questions. Key examples you should recognize include: carbon-14 for radiocarbon dating, cobalt-60 for cancer radiotherapy, and uranium-235 for nuclear power fuel.

πŸ“ Worked Example

Explain why plants absorb both carbon-12 and carbon-14 from the atmosphere during photosynthesis.

  1. 1

    Photosynthesis is a chemical reaction that depends on the chemical properties of carbon.

  2. 2

    Chemical properties are determined by electron arrangement, which depends on proton number. Both carbon isotopes have the same number of protons, so identical chemical properties.

  3. 3

    Places cannot distinguish between the two isotopes, so both are absorbed and incorporated into plant tissue during photosynthesis.

4. Common Pitfalls

Wrong move:

Mixing up A and Z, counting the bottom number as neutrons instead of protons

Why:

Students often forget which number goes where in standard nuclide notation

Correct move:

Remember: the larger number (nucleon count) is always at the top, smaller number (proton count) at the bottom. Neutrons = top number minus bottom number.

Wrong move:

Claiming isotopes of the same element have different chemical properties

Why:

Students confuse differences in physical properties with chemical properties

Correct move:

Chemical properties depend on electron arrangement, which matches proton number, so isotopes have identical chemical properties. Only physical properties differ.

Wrong move:

Assuming electron number always equals proton number for isotopes

Why:

Questions often ask about ions, not just neutral atoms

Correct move:

For an ion with charge , electrons = . For charge , electrons = .

Wrong move:

Thinking different isotopes occupy different positions in the periodic table

Why:

The periodic table is ordered by mass number in many student memory models

Correct move:

The periodic table is ordered by proton number, so all isotopes of an element share the same position.

5. Quick Reference Cheatsheet

Property

For isotopes of the same element

Proton number (Z)

Same

Number of protons

Same

Number of neutrons

Different

Nucleon number (A)

Different

Electrons (neutral atom)

Same

Chemical properties

Identical

Mass / Density

Different

Periodic table position

Same

6. Frequently Asked

Do isotopes have the same chemical properties?

Yes. Chemical properties depend on electron arrangement, which matches proton number, so all isotopes of an element have identical chemical properties.

Why are some isotopes radioactive?

Radioactivity comes from an unstable neutron-to-proton ratio in the nucleus. Isotopes with an unbalanced ratio decay radioactively, while isotopes with a balanced ratio are stable.

When this came up on past exams

AI-estimated based on syllabus patterns β€” cross-check with official past papers for accuracy. Use only as revision-focus signals.

  • 2022 Β· 12

    Identify isotope from nuclear notation

  • 2023 Β· 22

    Calculate neutrons in carbon isotope

Going deeper

What's Next

Understanding isotopes is the foundational concept for all further topics in nuclear physics, including radioactive decay, nuclear reactions, and mass defect and binding energy. You will also apply this knowledge when solving half-life problems, interpreting nuclear reaction equations, and even calculating relative atomic mass in chemistry. This sub-topic almost always appears as an easy 1-2 mark question in your AS exam, so mastering it guarantees you those easy marks. Next, explore the core topics below to build out your nuclear physics knowledge.