Radioactive decay - alpha, beta, gamma radiation

Welcome to MindMentor!

Radioactive decay icon

DP Physics

Radioactive Decay

Radioactive decay diagram

Everything around us is made of atoms. Most atoms are stable and remain unchanged for millions of years. However, some atoms are unstable and change naturally with time. During this change, they emit radiation and transform into different atoms.

This natural process is called radioactive decay.

Radioactive decay is an important topic in IB Physics because it helps us understand nuclear energy, medical imaging, dating of fossils, and even the age of the Earth.

Radioactivity occurs without any external influence. It does not depend on temperature, pressure, or chemical reactions. It is a spontaneous nuclear process.

For example: Uranium atoms inside rocks slowly decay into other elements over millions of years.

What Is Radioactive Decay?

Radioactive decay is the spontaneous transformation of an unstable atomic nucleus into a more stable nucleus by emitting radiation.

An unstable nucleus contains too much energy or an imbalance between protons and neutrons. To become stable, it releases excess energy or particles.

During radioactive decay:

  • The nucleus changes
  • Radiation is emitted
  • A new element or isotope may form

The original unstable nucleus is called the parent nucleus. The new nucleus formed after decay is called the daughter nucleus.

Nature of Radioactive Decay

  • Spontaneous Process: Happens naturally without any external cause. No physical or chemical process can stop or speed it up significantly.
  • Random Process: Cannot predict exactly when a particular nucleus will decay. Some decay quickly while others take thousands of years. However, overall rate can be predicted accurately for a large number of atoms.
  • Unaffected by External Conditions: Does not depend on temperature, pressure, chemical state, or electric/magnetic fields.

This makes radioactive decay very reliable for scientific measurements.

Nuclear Notation

AZX

X = chemical symbol, Z = atomic number (protons), A = mass number (protons + neutrons)

Example: Uranium-238 is written as 23892U

  • Atomic number Z = 92 (protons)
  • Mass number A = 238
  • Neutrons = A − Z = 146

Alpha Decay

Alpha decay occurs when a heavy nucleus emits an alpha particle.

An alpha particle consists of 2 protons and 2 neutrons — identical to a helium nucleus: 42He or α

During alpha decay:

  • Mass number decreases by 4
  • Atomic number decreases by 2

Example: 23892U → 23490Th + 42He

Properties of Alpha Radiation:

  • Strong ionizing power
  • Low penetration ability (stopped by paper or skin)
  • Moves relatively slowly
  • Dangerous inside the body, less dangerous outside

Beta Decay

Beta decay occurs when a neutron changes into a proton or a proton changes into a neutron.

Beta Minus Decay (β⁻)

A neutron changes into: a proton, an electron, and an antineutrino. The electron is emitted as beta radiation.

Example: 146C → 147N + 0-1e

Properties: Medium ionizing power, medium penetration (stopped by thin aluminum), travels close to speed of light.

Beta Plus Decay (β⁺)

A proton changes into a neutron, a positron, and a neutrino.

During beta decay:

  • Mass number stays the same
  • Atomic number increases by 1 (β⁻) or decreases by 1 (β⁺)

Gamma Decay

Gamma decay occurs when a nucleus releases excess energy in the form of electromagnetic radiation.

Gamma radiation is not a particle — it's high-energy EM radiation similar to X-rays but with higher energy: 00γ

During gamma decay:

  • Mass number remains the same
  • Atomic number remains the same

Example: X* → X + γ (excited nucleus releases gamma ray)

Properties of Gamma Radiation:

  • Low ionizing power
  • Very high penetration ability (requires thick lead or concrete)
  • Travels at the speed of light
  • Very useful in medicine, dangerous in high doses

Ionization

Radiation can remove electrons from atoms. This process is called ionization.

  • Alpha radiation produces strong ionization (large, slow particles)
  • Gamma radiation produces weak ionization (no charge)

Ionization is important because radiation damage in living tissue is mainly caused by ionization.

Radioactive Decay Equations

Two important rules must always be followed:

  1. Conservation of Nucleon Number: Total mass number must be equal on both sides
  2. Conservation of Charge: Total atomic number must be equal on both sides

Example Alpha Decay: 22688Ra → 22286Rn + 42He

Mass numbers: 226 = 222 + 4 ✓ | Atomic numbers: 88 = 86 + 2 ✓

Activity

Activity is the rate at which radioactive decay occurs.

SI unit: becquerel (Bq) — 1 Bq = 1 decay per second

High activity = many atoms decaying per second. Low activity = fewer atoms decaying.

Decay Constant

A = λN

A = activity, λ = decay constant, N = number of nuclei

The decay constant (λ) represents the probability of decay per unit time.

  • Large λ → fast decay, short lifetime
  • Small λ → slow decay, long lifetime

Half-Life

Half-life (T½) is the time required for half of the radioactive nuclei in a sample to decay.

Example: If a sample has 1000 nuclei and half-life is 10 years:

  • After 10 years → 500 nuclei remain
  • After 20 years → 250 nuclei remain
  • After 30 years → 125 nuclei remain

The number of nuclei decreases exponentially.

Half-Life Graph

A half-life graph shows number of nuclei or activity versus time.

  • The curve decreases smoothly — exponential decay curve
  • Equal time intervals reduce the quantity by half
  • Decay slows down with time
  • Never becomes exactly zero

Half-Life and Decay Constant

T½ = ln2 / λ

ln2 ≈ 0.693

This equation is important in IB Physics calculations.

Background Radiation

Radiation is always present in the environment — called background radiation.

Sources include:

  • Cosmic rays from space
  • Radioactive rocks
  • Soil and air
  • Food and water
  • Human body

Scientists subtract background radiation from measurements to obtain accurate results.

Uses of Radioactive Decay

Medical Uses
Cancer treatment, medical imaging, sterilization of equipment
Carbon Dating
Carbon-14 determines age of fossils and ancient objects
Nuclear Energy
Radioactive decay releases energy for electricity generation
Industrial Uses
Thickness measurement, leak detection, sterilization, food preservation

Safety Precautions

Time
Reduce exposure time
Distance
Increase distance from source
Shielding
Use lead, concrete, or thick metal

Proper handling reduces radiation risk significantly.

Why Radioactive Decay Is Important in IB Physics

Radioactive decay connects several important areas of physics:

  • Nuclear structure
  • Energy production
  • Medical physics
  • Environmental science

Understanding radioactive decay helps explain how atoms change and how nuclear energy is produced. It also allows scientists to measure time on a geological scale and understand processes inside stars and the Earth.

Summary of Key Formulas

A = λN
T½ = ln2 / λ
N = N₀(1/2)^(t/T½)
A = A₀(1/2)^(t/T½)

Summary of Radiation Types

Type Composition Penetration Ionization
Alpha (α) 2p + 2n (He nucleus) Low (paper/skin) High
Beta (β⁻) Electron Medium (thin aluminum) Medium
Gamma (γ) EM radiation High (thick lead/concrete) Low