#### Ar–Ar and K–Ar Dating

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Petrology Tulane University Prof. Stephen A. Nelson Radiometric Dating Prior to the best and most accepted age of the Earth was that proposed by Lord Kelvin based on the amount of time necessary for the Earth to cool to its present temperature from a completely liquid state. Although we now recognize lots of problems with that calculation, the age of 25 my was accepted by most physicists, but considered too short by most geologists. Then, in , radioactivity was discovered. Recognition that radioactive decay of atoms occurs in the Earth was important in two respects: It provided another source of heat, not considered by Kelvin, which would mean that the cooling time would have to be much longer. It provided a means by which the age of the Earth could be determined independently.

## Potassium-argon dating

A new mass spectrometer and the associated analytical systems, called HIRU, was designed and constructed for the argon isotope analysis of minerals from young volcanic rocks as well as metamorphics and granitoids. HIRU is composed of a sample holder, an extraction oven, purification lines, standard gas lines, a mass spectrometer, and an ultra high vacuum pumping system.

All the parts, except for the sample holder, were made of stainless steel and connected with ICF flanges using Cu gaskets or ultra high vacuum metal valves. The mass spectrometer is a 15cm sector type with an oblique incidence-single focusing system using an electron bombard ion source and three collectors which contain 8 for 36 Ar , 6 38 Ar and 4 40 Ar stage secondary electron multipliers respectively.

Argon isotope analysis by HIRU is summarized and the precision and reliability of the new mass spectrometric system are discussed in this paper.

This report includes methods for sample preparation, analyses, and age calculation on the K-Ar dating. This can contribute to an evaluation of calculated K-Ar.

Potassium has three naturally occurring isotopes: 39 K, 40 K and 41 K. The positron emission mechanism mentioned in Chapter 2. In addition to 40 Ar, argon has two more stable isotopes: 36 Ar and 38 Ar. Because K an alkali metal and Ar a noble gas cannot be measured on the same analytical equipment, they must be analysed separately on two different aliquots of the same sample.

The idea is to subject the sample to neutron irradiation and convert a small fraction of the 39 K to synthetic 39 Ar, which has a half life of years. The age equation can then be rewritten as follows: 6.

## K–Ar dating

The potassium-argon K-Ar dating method is probably the most widely used technique for determining the absolute ages of crustal geologic events and processes. It is used to determine the ages of formation and thermal histories of potassium-bearing rocks and minerals of igneous, metamorphic and sedimentary origin, as well as extraterrestrial meteorites and lunar rocks. The K-Ar method is among the oldest of the geochronological methods; it successfully produces reliable absolute ages of geologic materials.

It has been developed and refined for over 50 years.

age_equation_ (equation 1). Here, t is time and λ is the total decay constant for 40K. This led to the formerly-popular potassium-argon dating method.

The technique uses a few key assumptions that are not always true. These assumptions are:. Assumption 2 can cause problems when analysing certain minerals, especially a mineral called sanidine. This is a kind of K-rich feldspar that forms at high temperatures and has a very disordered crystal lattice. This disordered crystal lattice makes it more difficult for Ar to diffuse out of the sample during analysis, and the high melting temperature makes it difficult to completely melt the sample to release the all of the gas.

Assumption 3 can be a problem in various situations.

## Dating sediments by a K–Ar method

While uranium is water-soluble, thorium and protactinium are not, and so they are selectively precipitated into ocean-floor sediments , from which their ratios are measured. The scheme has a range of several hundred thousand years. A related method is ionium—thorium dating , which measures the rock of ionium thorium to thorium in radiometric sediment. Radiocarbon dating is also equation called carbon dating.

Carbon is a radioactive isotope of carbon, with a half-life of 5, years [27] [28] which is very short compared with the above isotopes , and radiometric into nitrogen.

Although we now recognize lots of problems with that calculation, the age of 25 my was accepted by The dating equation used for K-Ar is.

Potassium—argon dating , abbreviated K—Ar dating , is a radiometric dating method used in geochronology and archaeology. It is based on measurement of the product of the radioactive decay of an isotope of potassium K into argon Ar. Potassium is a common element found in many materials, such as micas , clay minerals , tephra , and evaporites. In these materials, the decay product 40 Ar is able to escape the liquid molten rock, but starts to accumulate when the rock solidifies recrystallizes.

The amount of argon sublimation that occurs is a function of the purity of the sample, the composition of the mother material, and a number of other factors. Time since recrystallization is calculated by measuring the ratio of the amount of 40 Ar accumulated to the amount of 40 K remaining. The long half-life of 40 K allows the method to be used to calculate the absolute age of samples older than a few thousand years.

The quickly cooled lavas that make nearly ideal samples for K—Ar dating also preserve a record of the direction and intensity of the local magnetic field as the sample cooled past the Curie temperature of iron. The geomagnetic polarity time scale was calibrated largely using K—Ar dating. The 40 K isotope is radioactive; it decays with a half-life of 1.

Conversion to stable 40 Ca occurs via electron emission beta decay in

## K-Ar Dating Calculation

Since the early twentieth century scientists have found ways to accurately measure geological time. The discovery of radioactivity in uranium by the French physicist, Henri Becquerel , in paved the way of measuring absolute time. Shortly after Becquerel’s find, Marie Curie , a French chemist, isolated another highly radioactive element, radium. The realisation that radioactive materials emit rays indicated a constant change of those materials from one element to another.

The New Zealand physicist Ernest Rutherford , suggested in that the exact age of a rock could be measured by means of radioactivity. For the first time he was able to exactly measure the age of a uranium mineral.

K-Ar dating have been determined using data from more then 45 ir- radiations in the The derivation of this equation is given at the end of this report after the.

Potassium, an alkali metal, the Earth’s eighth most abundant element is common in many rocks and rock-forming minerals. The quantity of potassium in a rock or mineral is variable proportional to the amount of silica present. Therefore, mafic rocks and minerals often contain less potassium than an equal amount of silicic rock or mineral. Potassium can be mobilized into or out of a rock or mineral through alteration processes.

Due to the relatively heavy atomic weight of potassium, insignificant fractionation of the different potassium isotopes occurs. However, the 40 K isotope is radioactive and therefore will be reduced in quantity over time. But, for the purposes of the KAr dating system, the relative abundance of 40 K is so small and its half-life is so long that its ratios with the other Potassium isotopes are considered constant.

Argon, a noble gas, constitutes approximately 0. Because it is present within the atmosphere, every rock and mineral will have some quantity of Argon.

## Potassium-argon dating method

The purpose of this noble gas investigation was to evaluate the possibility of measuring noble gases in martian rocks and air by future robotic missions such as the Mars Science Laboratory MSL. Here we suggest the possibility of K-Ar age dating based on noble gas release of martian rocks by conducting laboratory simulation experiments on terrestrial basalts and martian meteorites. We provide requirements for the SAM instrument to obtain adequate noble gas abundances and compositions within the current SAM instrumental operating conditions, especially, a power limit that prevents heating the furnace above approx.

In addition, Martian meteorite analyses from NASA-JSC will be used as ground truth to evaluate the feasibility of robotic experiments to constrain the ages of martian surface rocks. K-Ar dating of young volcanic rocks.

K-Ar Dating Formula. If Kf is the amount of Potassium left in the rock and Arf the amount of Ar created in the mineral then. Note that the factor 1 /

In this article we shall examine the basis of the K-Ar dating method, how it works, and what can go wrong with it. It is possible to measure the proportion in which 40 K decays, and to say that about Potassium is chemically incorporated into common minerals, notably hornblende , biotite and potassium feldspar , which are component minerals of igneous rocks. Argon, on the other hand, is an inert gas; it cannot combine chemically with anything.

As a result under most circumstances we don’t expect to find much argon in igneous rocks just after they’ve formed. However, see the section below on the limitations of the method. This suggests an obvious method of dating igneous rocks. If we are right in thinking that there was no argon in the rock originally, then all the argon in it now must have been produced by the decay of 40 K.

So all we’d have to do is measure the amount of 40 K and 40 Ar in the rock, and since we know the decay rate of 40 K, we can calculate how long ago the rock was formed.