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ENTC 4390 MEDICAL IMAGING. RADIOACTIVE DECAY. Nuclear Particles & Radiation. Only a few of the many different nuclear emanations are used in medicine. In order of importance, the entities are: x-rays Electromagnetic waves of very short wavelength that behave in many ways like particles.

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Entc 4390 medical imaging l.jpg

ENTC 4390MEDICAL IMAGING

RADIOACTIVE DECAY


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Nuclear Particles & Radiation

  • Only a few of the many different nuclear emanations are used in medicine.

  • In order of importance, the entities are:

    • x-rays

      • Electromagnetic waves of very short wavelength that behave in many ways like particles.

    • Gamma (g) rays

      • Electromagnetic waves similar to x-rays, but of even shorter wavelength.

    • Neutrons

      • Actual particles that are produced during the decay of certain radioacitve materials.


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Radioactivity

Don’t be confused by this picture!

A single radioactive source does not emit all three types a, b and g.


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B field into screen

Radioactive sources

detector

3 Types of Radioactivity

a particles: helium nuclei

Easily Stopped

b particles: electrons

Stopped by metal

g : photons (more energetic than x-rays) penetrate!


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Materials Science Fundamentals referred to collectively as nucleons.

  • The structure of an atom:


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Materials Science Fundamentals referred to collectively as nucleons.

2. Elements/Atomic Number (Z) & Atomic Masses

Key: Chemical Behavior Determined by Z and Ionization


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Materials Science Fundamentals referred to collectively as nucleons.

  • Atomic Number: # of Protons

  • Mass Number: # of Protons and Neutrons

  • Atomic Weight: Total Mass of Atom


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  • If a vacancy exists at a lower energy level, a neutron or proton in ahigher level may fall to fill the vacancy

    • This transition releases energy and yields a more stable nucleus.

      • The amount of energy released is related to the difference in binding energy between the higher and lower levels.

      • The binding energy is much greater for neutrons and protons inside the nucleus than for electrons outside the nucleus.

        • Hence, energy released during nuclear transitions is much greater than that released during electron transitions.


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  • If a nucleus gains stability by transition of a neutron between neutron energy levels, or a proton between proton energy levels, the process is termed an isometrictransition.

    • In an isomeric transition, the nucleus releases energy without a change in its number of protons (Z) or neutrons (N).

      • The initial and final energy states of the nucleus are said to be isomers.

      • A common form of isomeric transition is gamma decay (g) in which the energy is released as a packet of energy (a quantum or photon) termed a gamma (g) ray

      • An isomeric transition that competes with gamma decay is internal conversion, in which an electron from an extranuclear shell carries the energy out of the atom.


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  • It is also possible for a neutron to fall to a lower energy level reserved for protons, in which case the neutron becomes a proton.

  • It is also possible for a proton to fall to a lower energy level reserved for neurons, in which case the proton becomes aneuron.

    • In these situations, referred to collectively as beta (b) decay, the Z and N of the nucleus change, and the nucleus transmutes from one element to another.

    • In beta (b) decay, the nucleus loses energy and gains stability.


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  • In (parent) nucleus equals the sum of the mass numbers of the product (progeny) nucleus and the ejected particle. alpha (a) decay, an alpha particle (two protons and two neutrons tightly bound as a nucleus of helium ) is ejected from the unstable nucleus.

    • The alpha particle is a relatively massive, poorly penetrating type of radiation that can be stopped by a sheet of paper.


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Radium (parent) nucleus equals the sum of the mass numbers of the product (progeny) nucleus and the ejected particle.

Radon

alpha particle

  • An example of alpha decay is:


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ENTC 4390 (parent) nucleus equals the sum of the mass numbers of the product (progeny) nucleus and the ejected particle. MEDICAL IMAGING

DECAY SCHEMES


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  • A decay scheme depicts the decay processes specific for a (parent) nucleus equals the sum of the mass numbers of the product (progeny) nucleus and the ejected particle. nuclide (nuclide is a generic term for any nuclear form).

    • Energy on the y axis, plotted against the

    • Atomic number of the nuclide on the x axis.


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  • Given a generic nuclide, there are four possible routes of radioactive decay.

    • a decay to the progeny nuclide by emission of a nucleus.

    • (a) b+ (positron) decay to progeny nuclide by emission of positive electron from the nucleus.

    • (b) b- (negatron) decay to progeny nuclide by emission of negative electron from the nucleus.

    • g decay reshuffles the nucleons releasing a packet of energy with no change in Z (or N or A).


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Energy of radioactive decay.

Z-2

Z

Z+1

Z+2

Z-1

Atomic Number


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ENTC 4390 of radioactive decay.

BETA DECAY


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  • Nuclei tend to be most stable if they contain even numbers of protons and neutrons and least stable if they contain an odd number of both.

    • Nuclei are extraordinarily stable if they contain 2, 8 ,14, 20, 28, 50, 82, or 126 protons.

      • These are termed nuclear magic numbers and

      • Reflect full occupancy of nuclear shells.


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  • Can get 4 nucleons in each energy level- protons in low-Z stable nuclei.

    • lowest energy will favor N=Z,

  • But protons repel one another (Coulomb Force) and when Z is large it becomes harder to put more protons into a nucleus without adding even more neutrons to provide more of the Strong Force.

    • For this reason, in heavier nuclei N>Z.


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ENTC 4390 protons in low-Z stable nuclei.

ISOMERIC TRANSITIONS


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  • An isometric transition can also occur by interaction of the nucleus with an electron in one of the electron shells.

    • This process is called internal conversion.

      • The electron is ejected with kinetic energy Ek equal to the energy Eg released by the nucleus, reduced by the binding energy Eb of the electron

      • The ejected electron is accompanied by x rays and Auger electrons as the extranuclear structure of the atom resumes a stable configuration.


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  • The decay constant has units of time . number

  • It has a characteristic value for each nuclide.

  • It also reflects the nuclides degree of instability;

    • a larger decay constant connotes a more unstable nuclide

      • i.e., one that decays more rapidly.

    • The rate of decay is a measure of a sample’s activity.


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  • The activity of a sample depends on the number of radioactive atoms in the sample and the decay constant of the atoms.

    • A sample may have a high activity because itcontains a few highly unstable (large decay constant) atoms, or

    • because it contains many atoms that are only moderately unstable (small decay constant).


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  • The SI unit of activity is the radioactive atoms in the sample and the decay constant of the atoms. becquerel (Bq.) defined as

    • 1 Bq = 1 disintegration per second (dps)

  • An older, less-preferred unit of activity is the curie (Ci), defined as

    • 1 Ci = 3.7 x 1010 dps


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Example radioactive atoms in the sample and the decay constant of the atoms.

a. has a decay constant of 9.49 x 10-3 hr -1. Find the activity in becquerels of a sample containing 1010 atoms.


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Example radioactive atoms in the sample and the decay constant of the atoms.

  • How many atoms of with a decay constant of 2.08 hr -1 would be required to obtain the same activity in the previous problem.

  • More atoms of than of are required to obtain the same activity because of the difference in decay constants.


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  • Note that the equation radioactive atoms in the sample and the decay constant of the atoms.

    • can be written as


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  • Rearranging and solving for radioactive atoms in the sample and the decay constant of the atoms. N,

    • where Nois the number of atoms at time to .

natural log format


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  • The physical radioactive atoms in the sample and the decay constant of the atoms. half-life, T1/2, of a radioactive nuclide is the time required for decay of half of the atoms in a sample of the nuclide.


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Example radioactive atoms in the sample and the decay constant of the atoms.

  • The half-life is 1.7 hours for 113mIn (Indium).

    • A sample of 113mIn has a mass of 2mg.


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ENTC 4390 radioactive atoms in the sample and the decay constant of the atoms. MEDICAL IMAGING

DECAY SCHEMES


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X-Rays radioactive atoms in the sample and the decay constant of the atoms.

  • Strong or high energy x-rays can penetrate deeply into the body.

  • Weak or soft x-rays are used if only limited penetration is needed

  • The energy of x-rays, as well as other nuclear particles is measured in

    • electron-volts (ev)

    • thousands of electron-volts (kev)

    • millions of electron-volts (Mev)


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  • The diagnostic use of radioactive atoms in the sample and the decay constant of the atoms. x-ray depends on the fact that various types of absorbs x-rays to a greater or lesser degree.

    • Absorption by bone is quite high,

    • Absorption by fatty tissue is low.

  • This allows the use of the x-ray beam for delineating the details of body structure.


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Gamma Rays radioactive atoms in the sample and the decay constant of the atoms.

  • X-rays are generally produced electrically.

  • g_rays are the result of a radioactive transition in a substance that has been activated in a nuclear reactor.

  • Once again, energy is measured in

    • electron-volts (ev)

    • thousands of electron-volts (kev)

    • millions of electron-volts (Mev)


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  • The higher energy radioactive atoms in the sample and the decay constant of the atoms. g-rays penetrate all human tissue quite easily.

    • g-rays are used in conjunction with scanning systems to detect anomalies due to disease or neoplastic growth.


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Neutrons radioactive atoms in the sample and the decay constant of the atoms.

  • Neutron applications in medicine are limited.

  • Again, energy is measured in

    • electron-volts (ev)

    • thousands of electron-volts (kev)

    • millions of electron-volts (Mev)


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Preflight - Gamma Ray Emission radioactive atoms in the sample and the decay constant of the atoms.

Gamma rays are emitted due to electrons making transitions to nuclear energy levels.

  • true

  • false

No, gamma rays are high energy photons emitted when nucleons make transitions between their allowed quantum states.


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Preflight - Nuclear Beta Decay radioactive atoms in the sample and the decay constant of the atoms.

Beta rays are produced when the atom spontaneously repels all its electrons from its orbits.

  • true

  • false

Beta particles are electrons. However, the atom does not emit its atomic electrons.

Beta electrons are emitted by a nucleus along with a neutral weakly interacting particle called the neutrino when one of the neutrons in the nucleus decays.

Free neutrons are unstable - they decay. Sometimes in atoms with large numbers of neutrons, one of its neutrons may be loosely bound - spontaneous decay!


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Preflight - Positrons radioactive atoms in the sample and the decay constant of the atoms.

Beta particles are:

  • Always negatively charged.

  • Always positively charged.

  • Some beta decays could produce positively charged particles with properties similar to those of electrons.

Some radioactive elements emit a positively charged particle which is in all other respects similar to an electron! Anti-matter!! Positrons!!!


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Preflight - Alpha Particles radioactive atoms in the sample and the decay constant of the atoms.

Alpha particles are:

  • Electrons

  • Protons.

  • Nuclei of Helium atoms

  • Nuclei of Argon atoms

Some nuclei have lots of protons and many more protons. Lowest energy bound-states require about equal numbers of protons and neutrons. Those nuclei emit most tightly bound nuclear matter, i.e., Helium nuclei with two protons and two nuclei.


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