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The Basics of General, Organic, and Biological Chemistry

v3.0 David W. Ball, Rhonda J. Scott, and John W. Hill

1.8 Nuclear Chemistry

Learning Objectives

  1. Define radioactivity and state its common types.

  2. Balance nuclear reactions.

  3. Identify major characteristics of radioactivity, including half-life and units of activity.

Most of the time in chemistry, we concern ourselves with how atoms interact with each other. However, under some circumstances the actual identity of an atom changes because of changes in the nucleus. This is . Here we will consider a short introduction to nuclear chemistry introduction to nuclear chemistry, the impacts of which may be more common than you realize (refer to Figure 1.12).

In Chapter 1, Section 4 “Nuclei of Atoms”, we learned that we can indicate a specific isotope of an element with its element symbol and two numbers indicating its atomic number (number of protons) and mass number (number of protons + number of neutrons):

mass number 56 atomic number 26 F e

Sometimes the atomic number is omitted: 56Fe. Up to now we have assumed that any isotope written is stable, but in reality this is not the case.  Some atoms have such large nuclei, or have such an unusual mix of protons and neutrons, that the nucleus is unstable. Such nuclei can spontaneously decompose by giving off small pieces of itself.  In doing so, it changes to an atom of a different element. For example, the nucleus in 238U is unstable, spontaneously giving off a particle consisting of two protons and two neutrons (which is identical to a helium atom nucleus, an unusually-stable nucleus). What is leftover has a mass number of 234 and has 90 protons: an atom of the element thorium:

  92 238 U 2 4 H e +   90 234 T h

Figure 1.12 Applications of Nuclear Reactions

Most household smoke detectors contain a small amount of radioactive americium, 241Am, as part of its smoke detection circuit. It is only a tiny amount (typically about 0.3 micrograms) and is embedded in plastic, so it poses no danger. Indeed, smoke detectors save over 1,100 lives per year in the United States alone!

Photo of a smoke/fire detector.

This reaction is a nuclear reaction, and it demonstrates a requirement of the law of conservation of matter: the total number of nuclear particles (protons and neutrons) must be the same on both sides of the reaction. This is verified by showing that the sum of the superscripts (the mass numbers) are the same on both sides, and the sum of the subscripts (the number of protons) is the same on both sides. Isotopes whose nuclei can spontaneously decompose by giving off smaller particles are called .  Whether or not an isotope is radioactive is characteristic of the isotope238U is radioactive, but 56Fe is not.

Scientists now recognize that there are several types of radioactivity. The primary ones are:

  1. alpha particle emission: the emission of a helium nucleus, 4He, which is called an ;

  2. beta particle emission: the emission of a high energy electron, -1e, which is called a (note that for the sake of balancing a nuclear reaction, an electron is written with a subscript of -1 to indicate the charge of the electron;

  3. gamma ray emission: the emission of very high-energy electromagnetic radiation (light) called ; and

  4. : the breakdown of large nuclei into smaller ones, usually two or three nuclei of unpredictable identities.

Example 1.11: Balancing Nuclear Reactions with Alpha Particles

Thorium-232 radioactively decays by emitting an alpha particle. What is the nuclear reaction for this process?

Solution

Thorium has 90 protons in its nucleus, and an alpha particle is a helium nucleus. The nuclear reaction is:

  90 232 T h 2 4 H e +   88 228 R a

By adding the top numbers and the bottom numbers, it is verified that this reaction is balanced.

Skill-Building Exercise 1.11

Write the nuclear reaction for the alpha-particle decay of polonium-216, 216Po.

Example 1.12 Balancing Nuclear Reactions with Beta Particles

An isotope pf hydrogen, 3H, decays by giving off a beta particle. What is the nuclear reaction for this process?

Solution

A beta particle is an electron, –1e, which has a “mass number” of 0 and a charge of –1. In this case, the atomic number of the other product actually increases by 1, making an atom of He:

1 3 H 1 0 e + 2 3 H e

Skill-Building Exercise 1.12

Carbon-14, 14C, decays radioactively by emitting a beta particle. Write the nuclear reaction for this process.

Figure 1.13 Nuclear Power Plants

A nuclear power plant uses controlled radioactivity to generate electricity. Approximately 10% of global electricity production comes from nuclear power plants.

Photo of the nuclear power plant, showing the cooling towers.

When radioactive isotopes decay, energy is also given off: this is the source of .  While each atom gives off only a tiny amount of energy, for macroscopic quantities of isotopes the total energy can be hundreds, thousands, even millions of times more energy than chemical reactions (energy changes in chemical reactions will be presented in Chapter 6 “Energy and Chemical Processes”). This energy can be rather destructive (in the case of nuclear weapons), or if controlled can be a useful source of energy for societal use (refer to Figure 1.13).  

Some radioactive isotopes decay quickly, while others take a long time to decay. The  of a radioactive isotope, t1/2, is the amount of time it takes for a given amount of the isotope to decay to half of its initial value. It has a characteristic value for any given radioactive isotope, and can range from nanoseconds to billions of years. Table 1.5 lists the half-lives of various radioactive isotopes.

Table 1.5 Half-Lives of Various Isotopes

IsotopeHalf-Life
3H12.3 y
14C5,730 y
40K1.26 × 109 y
51Cr27.70 d
90Sr29.1 y
131I8.04 d
222Rn3.823 d
235U7.04 × 108 y
238U4.47 × 109 y
241Am432.7 y
248Bk23.7 h
260Sg4 ms

Half-lives of spontaneous radioactive isotopes are not affected by external environmental factors and so are constant. This makes them useful as tags in a variety of chemical and physical processes. Examples include tracing underground water, using radioactive isotopes in compounds to study chemical reactions (for example, the reactions that occur during photosynthesis were studied using 14C-labeled compounds), in dating archeological and geological artifacts, and in certain medical techniques that use radioactive isotopes for diagnosis or treatment.

To Your Health: Positron Emission Tomography

One relatively rare form of radioactivity is called positron emission. It is similar to beta particle emission, except that instead of emitting an electron, a nucleus emits a positively-charged electron called a positron. A positron is actually a piece of antimatter; therefore, when a positron encounters an electron, both particles annihilate each other and are converted into high-energy gamma rays.

Isotopes that emit positrons can be employed in a medical imaging technique called positron emission tomography (PET). A patient receives a compound containing a positron-emitting isotope, either intravenously or by ingestion. The radioactive compound travels throughout the body, and the patient is then pushed slowly through a ring of sensors that detect the gamma radiation given off by the annihilation of positrons and electrons. A computer connected to the sensors constructs a three-dimensional image of the interior of a part or all of the patient’s body, allowing doctors to see organs or tumors or regulate the function of various organs (such as the brain or the heart) to diagnose the medical condition of the patient.

Two isotopes that undergo positron emission are carbon-11 and fluorine-18, with half-lives of 20.4 and 110 min, respectively. Both isotopes can be incorporated into sugar molecules and introduced into the body. Doctors can use the intensity of gamma ray emission to find tissues that metabolize the sugar faster than other tissues; fast-metabolizing tissue is one sign of a malignant (i.e., cancerous) tumor. Researchers use similar techniques to map areas of the brain that are most active during specific tasks, such as reading or speaking.

PET is one of many diagnostic and treatment methods that physicians use to improve the quality of our lives. It is one of the many positive uses of radioactivity in society.

Medical PET Scan in a hospital laboratory. 

A PET scanner (previous image) uses positron emission, a type of radioactivity, to take images for medical diagnoses. Computers use data from the scanner to create images of the organs inside the body.

(a)  A PET scanner to be used for medical diagnoses.  (b)  PET images from a PET scan.

Exposure to radiation is measured in a variety of ways. The most fundamental unit of radioactivity is the decay of one radioactive atom per second, a unit defined as a  (named after Henri Becquerel, who discovered radioactivity; abbreviation Bq). Because this is such a tiny unit, a more useful unit is the  (named after Pierre Curie and not, as many think, after his wife Marie; its abbreviation is Ci), which is 3.7 × 1010 Bq; it was so defined because it is the radioactivity of 1.0 g of pure radium, an element discovered by the Curies.

Other units of radiation are based on the amount of energy emitted or absorbed, or the impact that energy has on bodily tissues. The  is defined as the absorption of 0.01 joules of energy (a very small amount of energy) per kilogram of body tissue. This is not a lot of energy:  it would raise the temperature of a cup of coffee by about 2 millionths of a degree! However, even that small amount of energy can disrupt a lot of molecules in a human body: a radiation dose of about 400 rad would have a mortality rate of 50%. Another unit of energy absorption is the (symbol Gy), which is equal to 100 rad. 

The unit  is an acronym for “radiation equivalent, man” and is the dosage in rad times a numerical factor that takes into account the type of radiation and the body tissue exposed: beta decay on muscle tissue has a factor of 1, while eye tissue exposed to alpha particles has a factor of about 30. A dental x-ray gives an exposure of about 1 millrem (mrem), while the average environmental exposure over an entire year is about 600 mrem (0.6 rem). Another unit of the biological impact of radioactivity is the , which is also equal to 100 rem but is an indication of the impact on biological tissue, so like rem is dependent on the type of tissue being exposed. Both gray and sievert are SI units, but rad and rem are still in common use.

Some people think that any exposure to radioactivity is harmful, but in truth, it is all around us. Fully 80% of the annual exposure to radioactivity is natural and inescapable: radon in the soil, naturally-occurring radioactive isotopes, x-rays at the hospital or in the airport, and pollutants in the atmosphere are all sources of tiny amounts of radioactivity that we cannot escape. And due to the naturally-occurring radioactive isotopes of carbon, potassium, rubidium, and other elements, an average human body has a radioactivity of about 9,000 Bq!

Concept-Review Exercises

  1. Name three types of radioactivity.

  2. What are some of the uses of radioactivity in society?

  3. What is the half-life of a radioactive nucleus? 

Answers

  1. There are more than three: alpha particle emission, beta particle emission, gamma ray emission, fission, and positron emission.

  2. Radioactivity is used in smoke detectors, in medical imaging, and to trace the reaction pathway of atoms in chemical and physical processes.

  3. A half-life is the length of time for a given amount of a radioactive sample to decay to half of its initial value.

Key Takeaways

  1. Some atomic nuclei are unstable and will break apart; this process is called radioactivity.

  2. Energy is given off when nuclei decay; this can serve as an energy source for society.

  3. The length of time needed for a given amount of a radioactive sample to decay to half of its initial value, called the half-life, is a common way to express how radioactive an isotope is.

Exercises

  1. Write the balanced chemical equation for the emission of an alpha particle from 247Cm.

  2. Write the balanced chemical equation for the emission of an alpha particle from 222Rn.

  3. Write the balanced chemical equation for the emission of a beta particle from 99Tc.

  4. Write the balanced chemical equation for the emission of a beta particle from 19O.

  5. If 3H has a half-life of 12.3 years, and you start with 1.00 g of 3H, what mass of 3H will you have left in 24.6 years?

  6. How many beta particles are needed to get the mass of one alpha particle? (Refer to Table 1.4 for the masses of the subatomic particles.)

  7. An atom of californium-252 undergoes three consecutive alpha particle decays to form an isotope of a new nucleus. Identify the atomic number, mass number, and identity of the final nucleus.

  8. What is the difference between a rad and a rem?

  9. What is the difference between a becquerel and a curie?