The apparent age may be affected by the post-depositional or post-formation history of the rocks. Natural contamination of chemical sediments with detrital material can also affect the results of dating of diagenesis.

There are some techniques and calculations which can "look through" the post formation event. In the Ar-Ar technique, the K and Ar are measured on the same sample aliquot. First the sample is irradiated in a nuclear reactor, where fast neutrons convert some of the 39K to 39Ar. After irradiation, the Ar is released fractionally by incremental heating. It is, however, important not to confuse geochronologic and chronostratigraphic units. As noted above, various dating methods are used in geochronology. Each method has a certain degree of uncertainty, but the reliability of the results can be enhanced by using several techniques.

By measuring the amount of Radioactive decay of a radioactive isotope with a known half-life , geologists can establish the absolute age of the parent material. A number of radioactive isotopes are used for this purpose, and depending on the rate of decay, are used for dating different geological periods. With the exception of the radiocarbon method, most of these techniques are actually based on measuring an increase in the abundance of a radiogenic isotope, which is the decay-product of the radioactive parent isotope.

Luminescence dating techniques observe 'light' emitted from materials such as quartz, diamond, feldspar, and calcite. Many types of luminescence techniques are utilized in geology, including optically stimulated luminescence OSL , cathodoluminescence CL , and thermoluminescence TL.

Thermoluminescence and optically stimulated luminescence are used in archaeology to date "fired" objects such as pottery or cooking stones, and can be used to observe sand migration.

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Incremental dating techniques allow the construction of year-by-year annual chronologies, which can be fixed that is, linked to the present day and thus calendar or sidereal time or floating. Marker horizons are geological units in different geographic locations but of the same age. They allow age-equivalence to be established between different sites.

In this analogy , the apples would represent radioactive, or parent, atoms, while the oranges would represent the atoms formed, the so-called daughters.

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Pursuing this analogy further, one would expect that a new basket of apples would have no oranges but that an older one would have many. In fact, one would expect that the ratio of oranges to apples would change in a very specific way over the time elapsed, since the process continues until all the apples are converted. In geochronology the situation is identical. A particular rock or mineral that contains a radioactive isotope or radioisotope is analyzed to determine the number of parent and daughter isotopes present, whereby the time since that mineral or rock formed is calculated.

Of course, one must select geologic materials that contain elements with long half-lives —i. The age calculated is only as good as the existing knowledge of the decay rate and is valid only if this rate is constant over the time that elapsed. Fortunately for geochronology, the study of radioactivity has been the subject of extensive theoretical and laboratory investigation by physicists for almost a century. The results show that there is no known process that can alter the rate of radioactive decay.

## Dating | geochronology | grancontranscale.cf

By way of explanation it can be noted that since the cause of the process lies deep within the atomic nucleus, external forces such as extreme heat and pressure have no effect. The same is true regarding gravitational, magnetic , and electric fields , as well as the chemical state in which the atom resides.

In short, the process of radioactive decay is immutable under all known conditions. Although it is impossible to predict when a particular atom will change, given a sufficient number of atoms, the rate of their decay is found to be constant.

The situation is analogous to the death rate among human populations insured by an insurance company. Even though it is impossible to predict when a given policyholder will die, the company can count on paying off a certain number of beneficiaries every month. The recognition that the rate of decay of any radioactive parent atom is proportional to the number of atoms N of the parent remaining at any time gives rise to the following expression:.

Converting this proportion to an equation incorporates the additional observation that different radioisotopes have different disintegration rates even when the same number of atoms are observed undergoing decay. Solution of this equation by techniques of the calculus yields one form of the fundamental equation for radiometric age determination,. Two alterations are generally made to equation 4 in order to obtain the form most useful for radiometric dating.

In the first place, since the unknown term in radiometric dating is obviously t , it is desirable to rearrange equation 4 so that it is explicitly solved for t. Half-life is defined as the time period that must elapse in order to halve the initial number of radioactive atoms. The half-life and the decay constant are inversely proportional because rapidly decaying radioisotopes have a high decay constant but a short half-life.

With t made explicit and half-life introduced, equation 4 is converted to the following form, in which the symbols have the same meaning:. Alternatively, because the number of daughter atoms is directly observed rather than N , which is the initial number of parent atoms present, another formulation may be more convenient. Since the initial number of parent atoms present at time zero N 0 must be the sum of the parent atoms remaining N and the daughter atoms present D , one can write:.

Substituting this in equation 6 gives. If one chooses to use P to designate the parent atom, the expression assumes its familiar form:. This pair of equations states rigorously what might be assumed from intuition , that minerals formed at successively longer times in the past would have progressively higher daughter-to-parent ratios.

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This follows because, as each parent atom loses its identity with time, it reappears as a daughter atom. Equation 8 documents the simplicity of direct isotopic dating. The time of decay is proportional to the natural logarithm represented by ln of the ratio of D to P. In short, one need only measure the ratio of the number of radioactive parent and daughter atoms present, and the time elapsed since the mineral or rock formed can be calculated, provided of course that the decay rate is known. Likewise, the conditions that must be met to make the calculated age precise and meaningful are in themselves simple:.

The rock or mineral must have remained closed to the addition or escape of parent and daughter atoms since the time that the rock or mineral system formed. It must be possible to correct for other atoms identical to daughter atoms already present when the rock or mineral formed. The measurement of the daughter-to-parent ratio must be accurate because uncertainty in this ratio contributes directly to uncertainty in the age. Different schemes have been developed to deal with the critical assumptions stated above. In uranium-lead dating , minerals virtually free of initial lead can be isolated and corrections made for the trivial amounts present.

In whole-rock isochron methods that make use of the rubidium- strontium or samarium - neodymium decay schemes, a series of rocks or minerals are chosen that can be assumed to have the same age and identical abundances of their initial isotopic ratios. The results are then tested for the internal consistency that can validate the assumptions.

In all cases, it is the obligation of the investigator making the determinations to include enough tests to indicate that the absolute age quoted is valid within the limits stated.