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Questions and Answers
What is the primary cause of spontaneous fission in heavy nuclei?
What is the primary cause of spontaneous fission in heavy nuclei?
- Maximum nuclear binding energy at low atomic mass
- Reduction of atomic mass number below 58
- High neutron-to-proton ratio
- Maximum nuclear binding energy at high atomic mass (correct)
What is emitted during alpha decay?
What is emitted during alpha decay?
- Gamma rays
- Helium ions (correct)
- Neutrons
- Protons
Which of the following nuclides is most prone to alpha decay?
Which of the following nuclides is most prone to alpha decay?
- Iron-56
- Carbon-14
- Cobalt-60
- Uranium-238 (correct)
What happens to the atomic number after an atom undergoes alpha decay?
What happens to the atomic number after an atom undergoes alpha decay?
Which decay mode involves the emission of positrons?
Which decay mode involves the emission of positrons?
What is the range of alpha particles in matter?
What is the range of alpha particles in matter?
In beta decay (β-), what is the problem that atoms are addressing?
In beta decay (β-), what is the problem that atoms are addressing?
Which of the following decay modes has the least probability of occurrence in uranium-238?
Which of the following decay modes has the least probability of occurrence in uranium-238?
What is the result of beta emission on atomic number and atomic mass number?
What is the result of beta emission on atomic number and atomic mass number?
What particle is emitted during positron decay?
What particle is emitted during positron decay?
What happens during electron capture?
What happens during electron capture?
What is the relationship between excitation energy and the decay process for proton-rich radionuclides?
What is the relationship between excitation energy and the decay process for proton-rich radionuclides?
What carries the remaining energy not carried by the beta particle during beta emission?
What carries the remaining energy not carried by the beta particle during beta emission?
What condition must be met for positron decay to occur?
What condition must be met for positron decay to occur?
What are annihilation radiations produced during positron decay?
What are annihilation radiations produced during positron decay?
When does electron capture predominantly occur?
When does electron capture predominantly occur?
What is the process of a radioactive nucleus losing energy called?
What is the process of a radioactive nucleus losing energy called?
Which equation represents the radioactive decay relationship?
Which equation represents the radioactive decay relationship?
What is half-life (T1/2) defined as?
What is half-life (T1/2) defined as?
What is the correct formula for calculating the effective half-life (Te)?
What is the correct formula for calculating the effective half-life (Te)?
How is the average lifetime (Ƭ) of radioactive atoms calculated?
How is the average lifetime (Ƭ) of radioactive atoms calculated?
What unit is equivalent to 1 disintegration per second?
What unit is equivalent to 1 disintegration per second?
What do the decay constant (λ) and half-life (T1/2) relate to each other as?
What do the decay constant (λ) and half-life (T1/2) relate to each other as?
What is the significance of the half-value layer in radiologic science?
What is the significance of the half-value layer in radiologic science?
Flashcards
Radionuclide decay
Radionuclide decay
Unstable radioactive isotopes emit particles or gamma radiation to achieve a stable configuration.
Spontaneous Fission (SF)
Spontaneous Fission (SF)
A heavy nucleus splits into two smaller fragments, releasing neutrons and energy.
Alpha Decay
Alpha Decay
A heavy nucleus emits an alpha particle (helium nucleus), reducing its atomic number by 2 and mass number by 4.
Beta Decay (β-)
Beta Decay (β-)
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Fission
Fission
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Half-life
Half-life
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Alpha particle
Alpha particle
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Binding energy
Binding energy
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Beta Minus Decay
Beta Minus Decay
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Beta Plus Decay
Beta Plus Decay
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Electron Capture
Electron Capture
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Atomic Number Change
Atomic Number Change
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Atomic Mass Number (A)
Atomic Mass Number (A)
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Transition Energy (Emax)
Transition Energy (Emax)
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Annihilation Radiation
Annihilation Radiation
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Beta Particle
Beta Particle
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Radioactive Decay
Radioactive Decay
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Activity (A)
Activity (A)
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Decay Constant (λ)
Decay Constant (λ)
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Half-Life (T1/2)
Half-Life (T1/2)
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Effective Half-Life (Te)
Effective Half-Life (Te)
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Average Life Time (Ƭ)
Average Life Time (Ƭ)
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Curie (Ci)
Curie (Ci)
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Becquerel (Bq)
Becquerel (Bq)
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Study Notes
Radioactivity
- Radionuclides are unstable and decay by emitting particles or gamma radiation to achieve a stable configuration of protons and neutrons in the nucleus.
- Radionuclides can decay through several modes:
- Spontaneous fission (SF)
- Isomeric transition (IT)
- Alpha decay
- Beta decay (β-)
- Positron decay (β+)
- Electron capture (EC) decay
Spontaneous Fission (SF)
- Fission is a process where a heavy nucleus breaks into two fragments, accompanied by the emission of two or three neutrons.
- The nuclear binding energy of elements reaches a maximum at an atomic mass number of approximately 58.
- Spontaneous breakdown into smaller nuclei and a few isolated nuclear particles becomes possible at higher atomic mass numbers.
Alpha Decay (α)
- Alpha decay primarily occurs in heavy nuclides like uranium and radon.
- Alpha particles are helium ions with two protons and two neutrons.
- After alpha decay, the atomic number is reduced by 2 and the mass number by 4.
- Example: 222Rn86 → 218Po84 + α
- Alpha particle energy ranges from 1 to 10 MeV.
- Alpha particles have a very short range in matter.
Beta Decay (β−)
- Atoms undergo radioactivity to achieve stability.
- Atoms with too many neutrons and not enough protons can stabilize by lowering the number of neutrons and increasing the number of protons.
- A neutron is converted into a proton, an electron (β−), and an antineutrino (ν).
- Example: n → p + β− + ν
- Beta emission increases the atomic number by one (Z → Z + 1), while the atomic mass number remains the same.
- This nuclear transformation changes an atom from one element to another.
- Example: 131I53 → 131Xe54 + β−
Positron Decay (β+)
- When a radionuclide is proton-rich, a proton converts to a neutron, emitting a positron (β+) and a neutrino (ν).
- The atomic number decreases by 1 (Z → Z – 1).
- Example: p → n + β+ + ν
- Positron decay only occurs when the energy difference between the parent and daughter nuclides is greater than 1.02 MeV.
- Positrons lose energy while passing through matter.
- When losing almost all their energy, positrons combine with an atomic electron, and annihilation occurs, resulting in two photons of 511 keV each. These are called annihilation radiations.
Electron Capture (EC)
- Electron capture is an alternative to β+ decay for proton-rich radionuclides.
- An electron from an inner electron shell (particularly the K shell) is captured by a proton in the nucleus, forming a neutron and a neutrino.
- Example: p + e− → n + ν
- Electron capture lowers the atomic number of the daughter nuclide by 1 (Z → Z – 1).
- Electron capture usually occurs in nuclides with excitation energies less than 1.02 MeV.
Radioactivity
- Radioactivity (nuclear decay) is the process by which an unstable atomic nucleus loses energy by emitting radiation (e.g., alpha particles, beta particles, gamma rays).
- A material containing unstable nuclei is considered radioactive.
Radioactive Decay Laws
- A = A₀ * e^(-λt), where:
- A = activity after time t
- A₀ = initial activity
- λ = decay constant
- t = time
- Activity is also A = λN, where N is the number of radioactive atoms.
Half-life (T½)
- The half-life is the time needed for half of the radioactive nuclei to decay.
- T½ = 0.693/λ
Average (Mean) Lifetime (T)
- The average time required for all radioactive atoms to decay.
- T = 1/λ, or T = 1.44 T½
Units of Radioactivity
- Curie (Ci) = 3.7 × 10¹⁰ disintegrations/sec
- Becquerel (Bq) = 1 disintegration/sec
- 1 Ci = 3.7 × 10¹⁰ Bq
Half-value Layer
- Half-life is essential to radiologic science and has a parallel in x-ray terminology. Using half-life, you understand the meaning of half-value layer.
- 3.3 half-lives = 1 tenth life
Radiopharmaceutical Loss
- Loss of radiopharmaceutical in a biological system is due to both radioactive decay and biologic elimination.
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