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Nuclear Reactions and Radioactive Decay

Author: Sophia

what's covered
In this lesson, you will learn about nuclear reactions and radioactive decay. Specifically, this lesson covers:

Table of Contents

1. Introduction to Radioactivity

Following the somewhat serendipitous discovery of radioactivity by Becquerel, many prominent scientists began to investigate this new, intriguing phenomenon.

people to know
Among them were Marie Curie (the first woman to win a Nobel Prize, and the only person to win two Nobel Prizes in different sciences—chemistry and physics), who was the first to coin the term “radioactivity,” and Ernest Rutherford (of gold foil experiment fame), who investigated and named three of the most common types of radiation.

During the beginning of the twentieth century, many radioactive substances were discovered, the properties of radiation were investigated and quantified, and a solid understanding of radiation and nuclear decay was developed.

The spontaneous change of an unstable nuclide into another is radioactive decay. The unstable nuclide is called the parent nuclide; the nuclide that results from the decay is known as the daughter nuclide. The daughter nuclide may be stable, or it may decay itself. The radiation produced during radioactive decay is such that the daughter nuclide is more stable than the parent nuclide.

terms to know
Radioactive Decay
Spontaneous decay of an unstable nuclide into another nuclide.
Parent Nuclide
Unstable nuclide that changes spontaneously into another (daughter) nuclide.
Daughter Nuclide
Nuclide produced by the radioactive decay of another nuclide; may be stable or may decay further.


2. Types of Radioactive Decay

Ernest Rutherford’s experiments involving the interaction of radiation with a magnetic or electric field helped him determine that one type of radiation consisted of positively charged and relatively massive α particles; a second type was made up of negatively charged and much less massive β particles; and a third was uncharged electromagnetic waves, γ rays.

key concept
We now know that α particles are high-energy helium nuclei, β particles are high-energy electrons, and γ radiation is composed of high-energy electromagnetic radiation.

The image above shows a radioactive substance emitting alpha, beta, and gamma rays out of a lead box, which passes through two electrically charged plates onto a photographic plate. The alpha particles, which are attracted to the negative plate and deflected by a relatively small amount, must be positively charged and relatively massive. The beta particles, which are attracted to the positive plate and deflected a relatively large amount, must be negatively charged and relatively light, and the gamma rays, which are unaffected by the electric field, must be uncharged.

We classify different types of radioactive decay by the radiation produced. Alpha (α) decay is the emission of an α particle from the nucleus. For example, polonium-210 undergoes α decay:

Po presubscript 84 presuperscript 210 space rightwards arrow space He presubscript 2 presuperscript 4 space plus thin space Pb presubscript 82 presuperscript 206 space space space space space space space space or space space space space space space space space Po presubscript 84 presuperscript 210 space rightwards arrow space straight alpha presubscript 2 presuperscript 4 space plus thin space Pb presubscript 82 presuperscript 206

Alpha decay occurs primarily in heavy nuclei (A > 200, Z > 83). Because the loss of an α particle gives a daughter nuclide with a mass number four units smaller and an atomic number two units smaller than those of the parent nuclide, the daughter nuclide has a larger n:p ratio than the parent nuclide.

Beta (β) decay is the emission of an electron from a nucleus. Iodine-131 is an example of a nuclide that undergoes β decay:

straight I presubscript 53 presuperscript 131 space rightwards arrow space straight e presubscript negative 1 end presubscript presuperscript 0 space plus thin space Xe presubscript 54 presuperscript 131 space space space space space space space space or space space space space space space space space straight I presubscript 53 presuperscript 131 space rightwards arrow space straight beta presubscript negative 1 end presubscript presuperscript 0 space plus thin space Xe presubscript 54 presuperscript 131 space space space space space space space space

Beta-decay, which can be thought of as the conversion of a neutron into a proton and a β particle, is observed in nuclides with a large n:p ratio. The beta particle (electron) emitted is from the atomic nucleus and is not one of the electrons surrounding the nucleus. Emission of an electron does not change the mass number of the nuclide but does increase the number of its protons and decrease the number of its neutrons. Consequently, the n:p ratio is decreased, and the daughter nuclide is more stable than the parent nuclide.

Gamma emission (γ emission) is observed when a nuclide is formed in an excited state and then decays to its ground state with the emission of a γ ray, a quantum of high-energy electromagnetic radiation. The presence of a nucleus in an excited state is often indicated by an asterisk (*). Cobalt-60 emits γ radiation and is used in many applications including cancer treatment:

Co presubscript 27 presuperscript 60 asterisk times space rightwards arrow space straight gamma presubscript 0 presuperscript 0 space plus thin space Co presubscript 27 presuperscript 60

There is no change in mass number or atomic number during the emission of a γ ray unless the γ emission accompanies one of the other modes of decay.

Positron emission (β+ decay) is the emission of a positron from the nucleus. Oxygen-15 is an example of a nuclide that undergoes positron emission:

straight O presubscript 8 presuperscript 15 space rightwards arrow space straight e presubscript plus 1 end presubscript presuperscript 0 space plus thin space straight N presubscript 7 presuperscript 15 space space space space space space space space or space space space space space space space space straight O presubscript 8 presuperscript 15 space rightwards arrow space straight beta presubscript plus 1 end presubscript presuperscript 0 space plus space straight N presubscript 7 presuperscript 15

Positron emission is observed for nuclides in which the n:p ratio is low. Positron decay is the conversion of a proton into a neutron with the emission of a positron. The n:p ratio increases and the daughter nuclide is more stable than the parent nuclide.

Electron capture occurs when one of the inner electrons in an atom is captured by the atom’s nucleus. For example, potassium-40 undergoes electron capture:

straight K presubscript 19 presuperscript 40 space plus thin space straight e presubscript negative 1 end presubscript presuperscript 0 space rightwards arrow space Ar presubscript 18 presuperscript 40

Electron capture occurs when an inner shell electron combines with a proton and is converted into a neutron. The loss of an inner shell electron leaves a vacancy that will be filled by one of the outer electrons. As the outer electron drops into the vacancy, it will emit energy. In most cases, the energy emitted will be in the form of an X-ray.

Like positron emission, electron capture occurs for “proton-rich” nuclei. Electron capture has the same effect on the nucleus as does positron emission: The atomic number is decreased by one and the mass number does not change. This increases the n:p ratio, and the daughter nuclide is more stable than the parent nuclide. Whether electron capture or positron emission occurs is difficult to predict.

This table summarizes the 5 different types of nuclear reactions that result from radioactive decay.

terms to know
Alpha (α) Decay
Loss of an alpha particle during radioactive decay.
Beta (β) Decay
Is the emission of an electron from a nucleus.
Gamma Emission (γ emission)
Observed when a nuclide is formed in an excited state and then decays to its ground state with the emission of a γ ray, a quantum of high-energy electromagnetic radiation.
Positron Emission (β+ decay)
The emission of a positron from the nucleus.
Electron Capture
When one of the inner electrons in an atom is captured by the atom’s nucleus.


3. Balancing Nuclear Reactions

A balanced chemical reaction equation reflects the fact that during a chemical reaction, bonds break and form, and atoms are rearranged, but the total numbers of atoms of each element are conserved and do not change. A balanced nuclear reaction equation indicates that there is a rearrangement during a nuclear reaction, but of nucleons (subatomic particles within the atoms’ nuclei) rather than atoms.

key concept
Nuclear reactions also follow conservation laws, and they are balanced in two ways:
  1. The sum of the mass numbers of the reactants equals the sum of the mass numbers of the products.
  2. The sum of the charges of the reactants equals the sum of the charges of the products.

If the atomic number and the mass number of all but one of the particles in a nuclear reaction are known, we can identify the particle by balancing the reaction. For instance we could determine that straight O presubscript 8 presuperscript 17 is a product of the nuclear reaction of straight N presubscript 7 presuperscript 14 and He presubscript 2 presuperscript 4 if we knew that a proton, straight H presubscript 1 presuperscript 1, was one of the two products.

EXAMPLE


Balancing Equations for Nuclear Reactions

The reaction of an α particle with magnesium-25 (Mg presubscript 12 presuperscript 25) produces a proton and a nuclide of another element. Identify the new nuclide produced.

Solution:

The nuclear reaction can be written as:

Mg presubscript 12 presuperscript 25 space plus thin space He presubscript 2 presuperscript 4 space rightwards arrow space straight H presubscript 1 presuperscript 1 space plus space straight X presubscript straight Z presuperscript straight A


where A is the mass number and Z is the atomic number of the new nuclide, X. Because the sum of the mass numbers of the reactants must equal the sum of the mass numbers of the products:

25 + 4 = A + 1, or A = 28

Similarly, the charges must balance, so:

12 + 2 = Z + 1, and Z=13

Checking the periodic table: the element with atomic number 13 is aluminum. Thus, the product is Al presubscript 13 presuperscript 28.

Follow this link to WebElements to view an accessible version of the periodic table of elements.

IN CONTEXT

Following are the equations of several nuclear reactions that have important roles in the history of nuclear chemistry:

  • The first naturally occurring unstable element that was isolated, polonium, was discovered by the Polish scientist Marie Curie and her husband Pierre in 1898. It decays, emitting α particles:
Po presubscript 84 presuperscript 212 space rightwards arrow space Pb presubscript 82 presuperscript 208 space plus thin space He presubscript 2 presuperscript 4
  • The first nuclide to be prepared by artificial means was an isotope of oxygen, blank to the power of 17O. It was made by Ernest Rutherford in 1919 by bombarding nitrogen atoms with α particles:
straight N presubscript 7 presuperscript 14 space plus thin space He presubscript 2 presuperscript 4 space rightwards arrow space straight O presubscript 8 presuperscript 17 space plus thin space straight H presubscript 1 presuperscript 1
  • James Chadwick discovered the neutron in 1932, as a previously unknown neutral particle produced along with blank to the power of 12C by the nuclear reaction between blank to the power of 9Be and blank to the power of 4He:
Be presubscript 4 presuperscript 9 space plus thin space He presubscript 2 presuperscript 4 space rightwards arrow space straight C presubscript 6 presuperscript 12 space plus thin space straight n presubscript 0 presuperscript 1
  • The first element to be prepared that does not occur naturally on the earth, technetium, was created by bombardment of molybdenum by deuterons (heavy hydrogen, straight H presubscript 1 presuperscript 2), by Emilio Segre and Carlo Perrier in 1937:
straight H presubscript 1 presuperscript 2 space plus thin space Mo presubscript 42 presuperscript 97 space rightwards arrow space 2 straight n presubscript 0 presuperscript 1 space plus thin space Tc presubscript 43 presuperscript 97
  • The first controlled nuclear chain reaction was carried out in a reactor at the University of Chicago in 1942. One of the many reactions involved was:
straight U presubscript 92 presuperscript 235 space plus thin space straight n presubscript 0 presuperscript 1 space rightwards arrow space Br presubscript 35 presuperscript 87 space plus thin space La presubscript 57 presuperscript 146 space plus thin space 3 straight n presubscript 0 presuperscript 1

summary
In this lesson, you learned about radioactivity and the fundamentals of nuclear decay and how parent nuclides decay into daughter nuclides. You also learned about the different types of radioactive decay, alpha, beta and gamma decay along with positron emission and electron capture. You learned what happens in each of those reactions and how to balance the nuclear reactions.

Source: THIS TUTORIAL HAS BEEN ADAPTED FROM OPENSTAX “CHEMISTRY: ATOMS FIRST 2E”. ACCESS FOR FREE AT Chemistry: Atoms First 2e. LICENSE: CREATIVE COMMONS ATTRIBUTION 4.0 INTERNATIONAL

REFERENCES

Winter, M. (2021). The periodic table of the elements. The periodic table of the elements by WebElements. www.webelements.com/.

Terms to Know
Alpha (α) Decay

Loss of an alpha particle during radioactive decay.

Beta (β) Decay

Is the emission of an electron from a nucleus.

Daughter Nuclide

Nuclide produced by the radioactive decay of another nuclide; may be stable or may decay further.

Electron Capture

When one of the inner electrons in an atom is captured by the atom’s nucleus.

Gamma Emission (γ emission)

Observed when a nuclide is formed in an excited state and then decays to its ground state with the emission of a γ ray, a quantum of high-energy electromagnetic radiation.

Parent Nuclide

Unstable nuclide that changes spontaneously into another (daughter) nuclide.

Positron Emission (β+ decay)

The emission of a positron from the nucleus.

Radioactive Decay

Spontaneous decay of an unstable nuclide into another nuclide.