![]() |
A technician of the U.S. Geological Survey uses a mass spectrometer to determine the proportions of neodymium isotopes contained in a sample of igneous rock. |
The next 40 years was a period of expanding research on the nature and behavior of atoms, leading to the development of nuclear fission and fusion as energy sources. A byproduct of this atomic research has been the development and continuing refinement of the various methods and techniques used to measure the age of Earth materials. Precise dating has been accomplished since 1950.
A chemical element consists of atoms with a specific number of protons in their nuclei but different atomic weights owing to variations in the number of neutrons. Atoms of the same element with differing atomic weights are called isotopes. Radioactive decay is a spontaneous process in which an isotope (the parent) loses particles from its nucleus to form an isotope of a new element (the daughter). The rate of decay is conveniently expressed in terms of an isotope's half-life, or the time it takes for one-half of a particular radioactive isotope in a sample to decay. Most radioactive isotopes have rapid rates of decay (that is, short half-lives) and lose their radioactivity within a few days or years. Some isotopes, however, decay slowly, and several of these are used as geologic clocks. The parent isotopes and corresponding daughter products most commonly used to determine the ages of ancient rocks are listed below:
Parent Isotope | Stable Daughter Product | Currently Accepted Half-Life Values |
Uranium-238 | Lead-206 | 4.5 billion years |
Uranium-235 | Lead-207 | 704 million years |
Thorium-232 | Lead-208 | 14.0 billion years |
Rubidium-87 | Strontium-87 | 48.8 billion years |
Potassium-40 | Argon-40 | 1.25 billion years |
Samarium-147 | Neodymium-143 | 106 billion years |
The mathematical expression that relates radioactive decay to geologic time is called the age equation and is:
Dating rocks by these radioactive timekeepers is simple in theory, but the laboratory procedures are complex. The numbers of parent and daughter isotopes in each specimen are determined by various kinds of analytical methods. The principal difficulty lies in measuring precisely very small amounts of isotopes.
The potassium-argon method can be used on rocks as young as a few thousand years as well as on the oldest rocks known. Potassium is found in most rock-forming minerals, the half-life of its radioactive isotope potassium-40 is such that measurable quantities of argon (daughter) have accumulated in potassium-bearing minerals of nearly all ages, and the amounts of potassium and argon isotopes can be measured accurately, even in very small quantities. Where feasible, two or more methods of analysis are used on the same specimen of rock to confirm the results.
Another important atomic clock used for dating purposes is based on the radioactive decay of the isotope carbon-14, which has a half-life of 5,730 years. Carbon-14 is produced continuously in the Earth's upper atmosphere as a result of the bombardment of nitrogen by neutrons from cosmic rays. This newly formed radiocarbon becomes uniformly mixed with the nonradioactive carbon in the carbon dioxide of the air, and it eventually finds its way into all living plants and animals. In effect, all carbon in living organisms contains a constant proportion of radiocarbon to nonradioactive carbon. After the death of the organism, the amount of radiocarbon gradually decreases as it reverts to nitrogen-14 by radioactive decay. By measuring the amount of radioactivity remaining in organic materials, the amount of carbon-14 in the materials can be calculated and the time of death can be determined. For example, if carbon from a sample of wood is found to contain only half as much carbon-14 as that from a living plant, the estimated age of the old wood would be 5,730 years.
The radiocarbon clock has become an extremely useful and efficient tool in dating the important episodes in the recent prehistory and history of man, but because of the relatively short half-life of carbon-14, the clock can be used for dating events that have taken place only within the past 50,000 years.
The following is a group of rocks and materials that have dated by various atomic
clock methods:
Sample | Approximate Age in Years |
Cloth wrappings from a mummified bull
|
2,050 |
Charcoal
|
6,640 |
Charcoal
|
10,130 |
Spruce wood
|
11,640 |
Bishop Tuff
|
700,000 |
Volcanic ash
|
1,750,000 |
Monzonite
|
37,500,000 |
Quartz monzonite
|
80,000,000 |
Conway Granite
|
180,000,000 |
Rhyolite
|
820,000,000 |
Pikes Peak Granite
|
1,030,000,000 |
Gneiss
|
2,700,000,000 |
The Old Granite
|
3,200,000,000 |
Morton Gneiss [see Editor's Note]
|
3,600,000,000 |
![]() |
Carbon samples are converted to acetylene gas by combustion in a vacuum line. The acetylene gas is then analyzed in a mass spectrometer to determine its carbon isotopic composition. |
Interweaving the relative time scale with the atomic time scale poses certain problems because only certain types of rocks, chiefly the igneous variety, can be dated directly by radiometric methods; but these rocks do not ordinarily contain fossils. Igneous rocks are those such as granite and basalt which crystallize from molten material called "magma".
When igneous rocks crystallize, the newly formed minerals contain various amounts of chemical elements, some of which have radioactive isotopes. These isotopes decay within the rocks according to their half-life rates, and by selecting the appropriate minerals (those that contain potassium, for instance) and measuring the relative amounts of parent and daughter isotopes in them, the date at which the rock crystallized can be determined. Most of the large igneous rock masses of the world have been dated in this manner.
Most sedimentary rocks such as sandstone, limestone, and shale are related to the radiometric time scale by bracketing them within time zones that are determined by dating appropriately selected igneous rocks, as shown by a hypothetical example.
Literally thousands of dated materials are now available for use to bracket the
various episodes in the history of the Earth within specific time zones. Many points
on the time scale are being revised, however, as the behavior of isotopes in the
Earth's crust is more clearly understood. Thus the graphic illustration of the
geologic time scale, showing both relative time and radiometric time, represents only
the present state of knowledge. Certainly, revisions and modifications will be
forthcoming as research continues to improve our knowledge of Earth history.