Chapter Two: Modes of Radioactive Decay

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Questions and Answers

What happens to the mass number during β decay?

  • It becomes zero.
  • It remains unchanged. (correct)
  • It increases by one.
  • It decreases by one.

How is β decay classified in terms of isobars?

  • It creates heavier elements.
  • It is an example of isotopic decay.
  • It reduces atomic mass.
  • It is an isobaric decay mode. (correct)

What is the relationship between the lines representing 14C and 14N in a decay scheme diagram?

  • 14C is above and to the left of 14N. (correct)
  • Both are on the same horizontal line.
  • 14C is below 14N.
  • 14N has a higher mass number than 14C.

What is the maximum thickness of material that β particles can penetrate?

<p>Only a few millimeters. (B)</p> Signup and view all the answers

In β decay, what is the nature of the β particles?

<p>They are energetic electrons produced inside the nucleus. (A)</p> Signup and view all the answers

What occurs after the daughter nucleus is formed in certain β decay processes?

<p>It may decay to a lower energy state by emitting a γ ray. (D)</p> Signup and view all the answers

What is the transition energy (Q) for 14C during β decay?

<p>0.156 MeV. (A)</p> Signup and view all the answers

Why is detecting β particles from inside the body challenging?

<p>They can only penetrate small thicknesses of material. (B)</p> Signup and view all the answers

What is the primary risk associated with alpha particles?

<p>They cause a large amount of local ionization. (C)</p> Signup and view all the answers

Which particle can travel the furthest in living tissue?

<p>Gamma rays (C)</p> Signup and view all the answers

Which of the following statements about beta particles is true?

<p>They can travel several centimeters in living tissue. (A)</p> Signup and view all the answers

What information does a chart of nuclides provide?

<p>A summary of radioactive decay modes. (D)</p> Signup and view all the answers

What materials are typically needed to stop gamma rays effectively?

<p>Several feet of concrete or a few inches of lead. (C)</p> Signup and view all the answers

What characterizes the parent and daughter nuclei in radioactive decay?

<p>The parent is unstable while the daughter is stable. (D)</p> Signup and view all the answers

What is the nature of radioactive decay?

<p>It is a spontaneous nuclear process. (C)</p> Signup and view all the answers

What does the transition energy in radioactive decay represent?

<p>The total mass-energy conversion amount. (B)</p> Signup and view all the answers

How do the average lifetime and mode of decay of a radionuclide relate?

<p>Both are characteristic properties of the radionuclide. (C)</p> Signup and view all the answers

What is usually observed about the weight of decay products compared to the original radioactive atom?

<p>They weigh less than the original radioactive atom. (D)</p> Signup and view all the answers

In the radioactive decay process, from where does most of the emitted energy arise?

<p>From nuclear mass conversion. (C)</p> Signup and view all the answers

Which of the following statements about radioactive decay is incorrect?

<p>All daughter nuclei are stable after decay. (B)</p> Signup and view all the answers

What role do atomic electrons play in radioactive decay?

<p>They do not influence the decay process significantly. (A)</p> Signup and view all the answers

What is the total transition energy required for β+ decay?

<p>1.022 MeV (B)</p> Signup and view all the answers

What phenomenon occurs when a positron and an electron annihilate each other?

<p>Production of 0.511-MeV photons (C)</p> Signup and view all the answers

In β+ decay, what happens to the atomic number of the daughter atom?

<p>It decreases by one. (D)</p> Signup and view all the answers

How is the excess transition energy in β+ decay allocated?

<p>To kinetic energy of the positron and neutrino (A)</p> Signup and view all the answers

What type of decay involves a daughter nucleus in a metastable state emitting a γ ray?

<p>Isomeric transition (B)</p> Signup and view all the answers

What can occur with certain radionuclides during β emission?

<p>Daughter nucleus left in an excited state (B)</p> Signup and view all the answers

When positrons are emitted, what must happen to maintain atomic neutrality in β+ decay?

<p>An electron is obtained from the environment. (D)</p> Signup and view all the answers

What is internal conversion primarily associated with?

<p>Decay of excited states (C)</p> Signup and view all the answers

What is the primary emission product when a positron and an electron annihilate?

<p>High-energy photons (A)</p> Signup and view all the answers

What happens to the energy of the ejected electron during internal conversion?

<p>It is the γ-ray energy minus the electron-binding energy (B)</p> Signup and view all the answers

What occurs during the process of electron capture decay?

<p>An orbital electron is captured by the nucleus and forms a neutron (A)</p> Signup and view all the answers

Which statement correctly describes the differences between β decay and internal conversion?

<p>In β decay, the electron originates from the nucleus while in internal conversion it comes from an orbital shell (D)</p> Signup and view all the answers

What type of decay is characterized as 'inverse β decay'?

<p>Electron capture decay (B)</p> Signup and view all the answers

What happens to the orbital vacancy created during internal conversion?

<p>It is filled by an outer shell electron with emission of characteristic X rays (C)</p> Signup and view all the answers

Which shells are typically involved when an electron is captured during electron capture decay?

<p>K and L shells (B)</p> Signup and view all the answers

During electron capture decay, which of the following is emitted from the nucleus?

<p>Neutrino (D)</p> Signup and view all the answers

What effect does electron capture (EC) decay have on the atomic number of a nucleus?

<p>It decreases the atomic number by one (C)</p> Signup and view all the answers

Which decay mode is more likely to occur among heavier elements?

<p>Electron capture (C)</p> Signup and view all the answers

What is a characteristic of gamma rays emitted during EC decay?

<p>They are high-energy electromagnetic radiation (A)</p> Signup and view all the answers

In which decay process is an α particle emitted from the nucleus?

<p>Alpha emission (A)</p> Signup and view all the answers

What is the typical kinetic energy range of emitted alpha particles?

<p>4 to 8 MeV (D)</p> Signup and view all the answers

Which radionuclide has a decay scheme that involves both electron capture and beta plus emission?

<p>18F (D)</p> Signup and view all the answers

What happens to the atomic mass during alpha-particle emission?

<p>It decreases by 4 (D)</p> Signup and view all the answers

Which decay mode is typically associated with very heavy elements seeking nuclear stability?

<p>Alpha emission (C)</p> Signup and view all the answers

Flashcards

Radioactive Decay

A process where an unstable nucleus transforms into a more stable one by emitting particles, photons, or both, releasing energy.

Parent Nucleus

The unstable nucleus undergoing radioactive decay.

Daughter Nucleus

The more stable nucleus formed after radioactive decay.

Spontaneous Decay

Radioactive decay where the time of decay cannot be predicted and is not influenced by external factors.

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Transition Energy (Q)

The total energy released during radioactive decay, mostly converted into kinetic energy of emitted particles or photons.

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Radionuclide

A radioactive isotope of a chemical element.

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Characteristic Properties of a Radionuclide

The unique mode of radioactive decay, transition energy, and average lifetime of a radionuclide before its decay.

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Nuclear Instability

The property of a nucleus that causes it to undergo radioactive decay.

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Annihilation Photons

Pair of high-energy photons emitted when a positron and electron meet and are mutually destroyed.

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β+ Decay

Radioactive decay where a proton turns into a neutron, emitting a positron and a neutrino.

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1.022 MeV

Minimum energy required for β+ decay. Part of the rest mass energy of the electron-positron pair

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Isomeric Transition

Daughter nucleus decay from a metastable state to ground state by gamma emission

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Positron

Antiparticle of an electron having the same mass but opposite charge.

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β- decay

Type of radioactive decay where a neutron transforms into a proton, emitting a beta particle and an antineutrino, changing the atomic number.

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Isobaric decay

Radioactive decay where the mass number (A) of the parent and daughter nuclei remains the same.

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γ Decay

Gamma-ray emission from an excited nucleus.

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Daughter Nucleus

The nucleus that results after radioactive decay.

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Decay scheme diagram

Graphical representation of a radioactive decay process showing energy changes and the relationship between parent and daughter nuclei.

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Transition Energy

Total energy released during the decay process

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Transition energy (Q)

Total energy released during radioactive decay, shared between decay products.

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β particle

Energetic electron emitted during β decay, originating from within the nucleus.

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(β, γ) decay

Decay process involving β emission followed by γ-ray emission if excited daughter nucleus is formed.

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β-particle detection difficulty

β particles can only penetrate thin materials, making detection from inside the body challenging.

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Neutrino

A small, neutral particle released during β decay, carrying away some of the energy released.

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Alpha Particle Penetration

Alpha particles travel only a few centimeters and are easily stopped by a thin layer of material like dead skin.

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Beta Particle Range

Beta particles (high-speed electrons) can travel several centimeters in living tissue, losing energy gradually.

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Gamma/X-ray Penetration

Gamma and X-rays can penetrate significantly more deeply into tissue than alpha or beta particles, requiring substantial shielding (like concrete or lead).

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Chart of the Nuclides

A chart displaying stable and radioactive nuclides, organized by atomic number and neutron number.

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Isotopes/Isotones

Nuclides with same atomic number (isotopes) and same neutron number (isotones) are located on, respectively, horizontal rows and vertical columns in the Chart of Nuclides.

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Internal Conversion

Nuclear decay where the nucleus transfers energy to an orbital electron, ejecting it instead of emitting a gamma ray.

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EC decay

Electron capture decay, where an electron from the inner shell of an atom is captured by the nucleus and combines with a proton to form a neutron, changing the atomic number.

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(EC,γ) decay

Electron capture decay followed by gamma-ray emission from an excited daughter nucleus.

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Conversion Electron

Electron ejected during internal conversion, carrying energy from the nucleus.

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β+ decay

A proton in the nucleus transforms into a neutron, emitting a positron and a neutrino.

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Electron Capture (EC)

Nuclear decay where an orbital electron combines with a proton to form a neutron, releasing a neutrino.

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EC(K)

Electron capture from the K-shell.

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α particle

A helium nucleus (2 protons and 2 neutrons) emitted during radioactive decay.

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Isobaric Decay

Radioactive decay where the mass number (A) remains the same, but the atomic number changes.

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γ ray

High-energy electromagnetic radiation emitted from an excited nucleus.

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Decay scheme

Diagram showing energy levels and paths of decay process for a radionuclide.

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Metastable State

An excited state of a nucleus with a relatively long lifetime before decaying, compared to a shorter-lived excited state.

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Isobaric decay

Radioactive decay where the mass number remains the same, only atomic number changes.

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γ-ray Emission

Nuclear decay involving emission of a gamma ray, a high-energy photon.

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Excited State

A state of an atom or nucleus where its electrons are at a higher energy level than in its ground state.

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Electron Capture (EC)

A type of radioactive decay in which an inner atomic orbital electron is absorbed by the nucleus.

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Study Notes

Chapter Two: Modes of Radioactive Decay

  • Radioactive decay: A process where an unstable nucleus transforms into a more stable one, releasing energy.
  • Parent isotope: The unstable radioactive nucleus.
  • Daughter isotope: The more stable product nucleus.
  • Alpha decay: Emission of a helium nucleus (2 protons and 2 neutrons).
  • Beta decay: Emission of an electron (β-) or a positron (β+).
  • Gamma decay: Emission of a high-energy photon (gamma ray).
  • Radioactive decay is spontaneous: The exact moment of decay cannot be predicted.
  • Mass-energy conversion: Radioactive decay converts mass into energy.
  • Transition energy (Q): The total mass-energy conversion amount.
  • Kinetic energy: The energy imparted to emitted particles.
  • Recoiling nucleus: A small portion of the transition energy is imparted as kinetic energy to the resulting nucleus.
  • Chemical Properties of radionuclides:
    • Chemical behaviour of an atom is not affected by radioactive properties of nucleus.
    • The decay of the nucleus does not affect the behaviour of electrons around the nucleus.

2.1 General Concepts

  • Radioactive decay is a nuclear process triggered by instability.
  • The parent isotope decays into a daughter isotope.
  • Decay results in energy release. The excess energy is transformed into kinetic energy of decay products (electrons, positrons, or particles), and/or gamma radiation.
  • The daughter isotope may also be unstable and further decay.

2.2 Chemistry and Radioactivity

  • Radioactive decay is a nuclear process.
  • Chemical reactions primarily involve electrons.
  • Radioactive properties of a nucleus do not affect its chemical properties.

2.3 Radioactive Decay

  • Types of radioactive decay processes are alpha, beta, and gamma decay.

2.3.1 Beta Decay

  • A proton in the nucleus transforms into a neutron, or vice versa.
  • The nucleus emits an electron (β−) or a positron (β+).
  • A neutrino (essentially massless and chargeless) is also emitted.

2.3.2 Beta Decay by $\beta^−$

  • A neutron transforms into a proton and an electron (e−).
  • The electron and an antineutrino (ν) are emitted.
  • Atomic number increases by 1.

2.3.3 Beta Decay by $\beta^+$ (Positron)

  • A proton transforms into a neutron and a positron (e+).
  • A neutrino (ν) is also emitted.
  • Atomic number decreases by 1.

2.3.4 Electron Capture (EC)

  • An orbital electron is captured by the nucleus.
  • A proton and the electron combine to form a neutron.
  • A neutrino (ν) is emitted.
  • Atomic number decreases by 1.

2.3.5 Competitive $\beta^+$ and EC decay

  • $\beta^+$ decay and electron capture (EC) have the same effect on the parent nucleus.
  • Both are isobaric decay modes. They affect the atomic number, but not the mass number of the atom.
  • The occurrence of $\beta^+$ decay or electron capture (EC) depends on the element type and their respective energies required for the transition to be possible.

2.3.6 Decay by α Emission

  • α particle emission: A nucleus emits an α particle (essentially a helium-4 nucleus).
  • The atomic number decreases by 2 and the mass number decreases by 4.

2.3.7 Gamma Rays

  • Gamma rays are high-energy photons emitted during the deexcitation of an excited nucleus.
  • Gamma rays have no mass or charge and high penetration power.

2.3.8 Penetration Power of Radiation

  • Different radiations have varying penetration powers.
  • Alpha particles have the lowest penetration power, followed by beta particles, then gamma rays.

2.3.9 Sources of Information on Radionuclides

  • Charts of the nuclides provide summaries of radionuclide properties.
  • Stable or radioactive isotopes are assigned squares on the chart.
  • Rows (isotones) and Columns (isotopes) are based on neutron and proton number.

2.3.2 Isomeric Transition

  • Isomeric transitions occur in excited/metastable states.
  • A unstable nucleus decay into its ground state by emitting a γ ray.

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