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Chapter 21: Radioactivity and Nuclear Chemistry – Study Notes

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Radioactivity and Nuclear Chemistry

Introduction to Nuclear Chemistry

Nuclear chemistry focuses on the changes that occur within the nucleus of an atom, distinguishing it from chemical processes that involve only the electrons. Nuclear reactions can result in the transformation of one element into another and are responsible for phenomena such as radioactivity, nuclear fission, and fusion.

Chemical vs. Nuclear Processes

  • Chemical reactions involve changes in the electronic structure of atoms (gaining, losing, or sharing electrons) without altering the nucleus.

  • Nuclear reactions involve changes in the nucleus, including the number of protons and neutrons, which can result in the formation of different elements.

Discovery of Radioactivity

Marie Curie and the Nature of Radioactivity

Marie Curie discovered that certain elements emit rays from their nuclei, a phenomenon she named radioactivity. Her work led to the discovery of new elements, such as radium and polonium, and earned her Nobel Prizes in Physics and Chemistry.

Types of Radioactivity

Radioactivity is the spontaneous emission of high-energy particles or gamma rays from an unstable atomic nucleus. These emissions can ionize matter, penetrate materials, and cause phosphorescent substances to glow.

  • Ionizing Power: The ability of radiation to ionize other molecules and atoms. Alpha particles have the highest ionizing power.

  • Penetrating Power: The ability of radiation to pass through matter. Gamma rays are the most penetrating, while alpha particles are the least.

Phosphorescent watch dial glowing due to radioactivity

Important Atomic Symbols

Understanding nuclear chemistry requires familiarity with the symbols for subatomic particles and nuclear notation.

Table of particle symbols and nuclear symbols

Nuclear Notation

Nuclear notation expresses the identity of a nuclide using its atomic number (Z), mass number (A), and chemical symbol (X):

Nuclear notation: mass number, atomic number, element symbol

Transmutation and Nuclear Equations

During radioactive decay, a parent nuclide transforms into a daughter nuclide. Nuclear equations must conserve both atomic number and mass number.

Nuclear equation showing parent and daughter nuclide

Types of Radioactive Decay

Alpha Decay (α-decay)

Alpha decay occurs when an unstable nucleus emits an alpha particle (two protons and two neutrons, identical to a helium-4 nucleus). This process decreases the atomic number by 2 and the mass number by 4. Alpha particles are highly ionizing but have low penetrating power.

Alpha particle model

Beta Decay (β-decay)

Beta decay involves the emission of an electron from the nucleus. The atomic number increases by 1, while the mass number remains unchanged. Beta particles are more penetrating than alpha particles but less ionizing.

Penetrating power of beta and gamma radiation

Gamma Emission (γ-emission)

Gamma rays are high-energy photons emitted from the nucleus, usually following another type of decay. Gamma emission does not change the atomic or mass number but is the most penetrating and least ionizing form of radiation.

Positron Emission

A positron is the antiparticle of the electron, with a charge of +1. When a nucleus emits a positron, its atomic number decreases by 1, but the mass number remains the same. This process results from a proton converting into a neutron.

Electron Capture

Electron capture occurs when an inner orbital electron is drawn into the nucleus, where it combines with a proton to form a neutron. The atomic number decreases by 1, and the mass number remains unchanged. No particle is emitted, but the atom changes identity.

Kinetics of Radioactive Decay

Radioactive decay follows first-order kinetics, meaning the rate depends on the number of radioactive nuclei present. The decay rate is given by:

where k is the decay constant and N is the number of radioactive nuclei.

The half-life (t1/2) is the time required for half of the radioactive nuclei to decay:

The shorter the half-life, the more rapidly the sample decays.

Nuclear Fission

Fission is the splitting of a large nucleus into smaller nuclei when struck by a neutron, releasing a tremendous amount of energy. This process is the basis for nuclear power and atomic bombs.

Nuclear fission of uranium-238

Nuclear Fusion

Fusion is the process by which small nuclei combine to form a larger nucleus, overcoming electrostatic repulsion at extremely high temperatures. Fusion releases even more energy per gram than fission and powers the sun and hydrogen bombs. However, achieving controlled fusion for electricity generation is currently very costly and technologically challenging.

Deuterium-Tritium fusion reaction

Applications of Radioactivity in Medicine

Radiotracers and PET Scans

Radioactive nuclides, or radiotracers, are used in medicine to track the movement of substances within the body. Positron emission tomography (PET) scans employ positron-emitting nuclides, such as fluorine-18, to visualize brain activity and diagnose diseases.

PET scan of the brain

Gamma Ray Treatment (Radiotherapy)

Gamma rays are used in radiotherapy to treat cancer by targeting and destroying malignant cells with high-energy radiation.

Radiotherapy treatment in medicine

Summary Table: Types of Radioactive Decay

Decay Type

Particle Emitted

Change in Atomic Number

Change in Mass Number

Penetrating Power

Ionizing Power

Alpha (α)

Helium-4 nucleus ()

-2

-4

Low

High

Beta (β)

Electron ()

+1

0

Moderate

Moderate

Gamma (γ)

Photon

0

0

High

Low

Positron

Positron ()

-1

0

Moderate

Moderate

Electron Capture

None (electron absorbed)

-1

0

N/A

N/A

Key Equations

  • First-order decay rate:

  • Half-life:

Comparison: Nuclear Fission vs. Fusion

Process

Description

Energy Released

Example

Fission

Splitting of a large nucleus into smaller nuclei

High (per event)

Nuclear power plants, atomic bombs

Fusion

Combining of small nuclei to form a larger nucleus

Very high (per gram)

Sun, hydrogen bomb

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