Radioactive dating is a method of dating rocks and minerals using radioactive isotopes. This method is useful for igneous and metamorphic rocks, which cannot be dated by the stratigraphic correlation method used for sedimentary rocks. Over naturally-occurring isotopes are known. Some do not change with time and form stable isotopes i. The unstable or more commonly known radioactive isotopes break down by radioactive decay into other isotopes. Radioactive decay is a natural process and comes from the atomic nucleus becoming unstable and releasing bits and pieces.
The relationship between the number of atoms present at the start N 0the number present at the time of measurement N the elapsed time t, and the rate constant k can be written in two mathematically equivalent ways:.
In addition, you may wish to know the activity A of a sample, typically measured in disintegrations per second or dps. This is expressed simply as:.
Radiometric Dating: Definition, How Does it Work, Uses & Examples
You don't need to know how these equations are derived, but you should be prepared to use them so solve problems involving radioactive isotopes.
Scientists interested in figuring out the age of a fossil or rock analyze a sample to determine the ratio of a given radioactive element's daughter isotope or isotopes to its parent isotope in that sample. With the element's decay rate, and hence its half-life, known in advance, calculating its age is straightforward.
Dating - Dating - Principles of isotopic dating: All absolute isotopic ages are based on radioactive decay, a process whereby a specific atom or isotope is converted into another specific atom or isotope at a constant and known rate. Potassium-argon (K-Ar) dating: The radioactive potassium isotope is K, which decays into both calcium (Ca) and argon (Ar) in a ratio of percent calcium to percent argon Argon is a noble gas, which means that it is nonreactive and would not be a . Isotopes Used for Dating There are several common radioactive isotopes that are used for dating rocks, artifacts and fossils. The most common is U U .
The trick is knowing which of the various common radioactive isotopes to look for. This in turn depends in the approximate expected age of the object because radioactive elements decay at enormously different rates.
Also, not all objects to be dated will have each of the elements commonly used; you can only date items with a given dating technique if they include the needed compound or compounds. Uranium-lead U-Pb dating: Radioactive uranium comes in two forms, uranium and uranium The number refers to the number of protons plus neutrons. Uranium's atomic number is 92, corresponding to its number of protons.
The half-life of uranium is 4. Because these differ by a factor of almost seven recall that a billion is 1, times a millionit proves a "check" to make sure you're calculating the age of the rock or fossil properly, making this among the most precise radiometric dating methods.
The long half-lives make this dating technique suitable for especially old materials, from about 1 million to 4. U-Pb dating is complex because of the two isotopes in play, but this property is also what makes it so precise.
The method is also technically challenging because lead can "leak" out of many types of rocks, sometimes making the calculations difficult or impossible. U-Pb dating is often used to date igneous volcanic rocks, which can be hard to do because of the lack of fossils; metamorphic rocks; and very old rocks.
All of these are hard to date with the other methods described here. Rubidium-strontium Rb-Sr dating: Radioactive rubidium decays into strontium with a half -life of Not surprisingly, Ru-Sr dating is used to date very old rocks as old as the Earth, in fact, since the Earth is "only" around 4.
Strontium exists in other stable i. But because rubidium is abundant in the Earth's crust, the concentration of strontium is much higher than that of the other isotopes of strontium. Scientists can then compare the ratio of the strontium to the total amount of stable strontium isotopes to calculate the level of decay that produces the detected concentration of strontium This technique is often used to date igneous rocks and very old rocks.
Potassium-argon K-Ar dating: The radioactive potassium isotope is K, which decays into both calcium Ca and argon Ar in a ratio of The amount of carbon isotopes within living organisms reaches an equilibrium value, on death no more is taken up, and the 14C present starts to decay at a known rate.
The amount of 14C present and the known rate of decay of 14C and the equilibrium value gives the length of time elapsed since the death of the organism. This method faces problems because the cosmic ray flux has changed over time, but a calibration factor is applied to take this into account. Radiocarbon dating is normally suitable for organic materials less than 50 years old because beyond that time the amount of 14C becomes too small to be accurately measured.
This scheme was developed in but became more useful when mass spectrometers were improved in the late s and early s.
However, both Rb and Sr easily follow fluids that move through rocks or escape during some types of metamorphism. This technique is less used now. The dual decay of potassium K to 40Ar argon and 40Ca calcium was worked out between and This technique has become more widely used since the late s.
Its great advantage is that most rocks contain potassium, usually locked up in feldspars, clays and amphiboles. However, potassium is very mobile during metamorphism and alteration, and so this technique is not used much for old rocks, but is useful for rocks of the Mesozoic and Cenozoic Eras, particularly unaltered igneous rocks.
Argon-Argon dating 39ArAr. This technique developed in the late s but came into vogue in the early s, through step-wise release of the isotopes.
This technique uses the same minerals and rocks as for K-Ar dating but restricts measurements to the argon isotopic system which is not so affected by metamorphic and alteration events. It is used for very old to very young rocks. The decay of Sm to Nd for dating rocks began in the mids and was widespread by the early s. It is useful for dating very old igneous and metamorphic rocks and also meteorites and other cosmic fragments.
However, there is a limited range in Sm-Nd isotopes in many igneous rocks, although metamorphic rocks that contain the mineral garnet are useful as this mineral has a large range in Sm-Nd isotopes. This technique also helps in determining the composition and evolution of the Earth's mantle and bodies in the universe. The Re-Os isotopic system was first developed in the early s, but recently has been improved for accurate age determinations.
The main limitation is that it only works on certain igneous rocks as most rocks have insufficient Re and Os or lack evolution of the isotopes. This technique is good for iron meteorites and the mineral molybdenite. This system is highly favoured for accurate dating of igneous and metamorphic rocks, through many different techniques.
It was used by the beginning of the s, but took until the early s to produce accurate ages of rocks. The great advantage is that almost all igneous and metamorphic rocks contain sufficient U and Pb for this dating. It can be used on powdered whole rocks, mineral concentrates isotope dilution technique or single grains SHRIMP technique. It has revolutionised age dating using the U-Pb isotopic system. Using the SHRIMP, selected areas of growth on single grains of zircon, baddeleyite, sphene, rutile and monazite can be accurately dated to less than years in some cases.
The technique of comparing the abundance ratio of a radioactive isotope to a reference isotope to determine the age of a material is called radioactive dating. Many isotopes have been studied, probing a wide range of time scales. The isotope 14 C, a radioactive form of carbon, is produced in the upper atmosphere by neutrons striking 14 N. Radioactive dating is helpful for figuring out the age of ancient things. Carbon (C), a radioactive isotope of carbon, is produced in the upper atmosphere by cosmic radiation. The primary carbon-containing compound in the atmosphere is carbon dioxide, . Radioactive dating is a method of dating rocks and minerals using radioactive isotopes. This method is useful for igneous and metamorphic rocks, which cannot be dated by the stratigraphic correlation method used for sedimentary rocks. Over naturally-occurring isotopes are known.
The man's body was recovered and pieces of tissue were studied for their 14 C content by accelerator mass spectroscopy. The best estimate from this dating technique says the man lived between and BC.
The boat of a pharaoh was discovered in a sealed crypt and reassembled in a museum near the pyramids see Fig. Its wood was dated using 14 C to be about 4, years old.
Dating using radioactive isotopes
Other methods of dating are used for non-living things. A potassium-argon method of dating, developed inmeasures the amount of 40 Ar arising from the 40 K decay and is compared to the amount of 40 K remaining in the rock. From the ratio, the time since the formation of the rock can be calculated. Radioactive Dating The technique of comparing the abundance ratio of a radioactive isotope to a reference isotope to determine the age of a material is called radioactive dating.