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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.

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Minerals should not contain any excess Ar because Ar should not enter the crystal structure of a mineral when it crystallizes. Thus, it always better to date minerals that have high K contents, such as sanidine or biotite. If these are not present, Plagioclase or hornblende. If none of these are present, then the only alternative is to date whole rocks. Atmospheric Argon.

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Some 40 Ar could be absorbed onto the sample surface. This can be corrected for.

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Metamorphism or alteration. Most minerals will lose Ar on heating above o C - thus metamorphism can cause a loss of Ar or a partial loss of Ar which will reset the atomic clock. If only partial loss of Ar occurs then the age determined will be in between the age of crystallization and the age of metamorphism.

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If complete loss of Ar occurs during metamorphism, then the date is that of the metamorphic event. The problem is that there is no way of knowing whether or not partial or complete loss of Ar has occurred.

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Examples of questions on this material that could be asked on an exam. 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. Principles of Radiometric Dating Radioactive decay is described in terms of the probability that a constituent particle of the nucleus of an atom will escape through the potential Energy barrier which bonds them to the nucleus.

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Thus, if we start out with 1 gram of the parent isotope, after the passage of 1 half-life there will be 0. Some examples of isotope systems used to date geologic materials. If we divide equation 4 through by the amount of 86 Sr, then we get:. Note also that equation 5 has the form of a linear equation, i.

Formula: Half Your Age Plus Seven Rule Younger= Age / + Older= (Age - ) * 2 This Dating Age Range Calculator just a fun tool to predict your dating age. Half your age plus seven rule states "never date anyone under half your age plus 7" also meaning that "no one under 14 years of . Jul 04,   You may be familiar with the "divide their age by two and add seven" equation for figuring out if the person you're into is too old for you to date. Oct 04,   The Dating Equation: ? (your age) + 7. A common rule of thumb, at least on the internet, is that it's okay to be interested in someone "half your age plus seven" years. According to this rule, it would not be creepy for a 30 year old to date a .

How can we use this? In nature, however, each mineral in the rock is likely to have a different amount of 87 Rb. Thus, once the rock has cooled to the point where diffusion of elements does not occur, the 87 Rb in each mineral will decay to 87 Sr, and each mineral will have a different 87 Rb and 87 Sr after passage of time.

The discordia is often interpreted by extrapolating both ends to intersect the Concordia.

Dating age equation

Pb leakage is the most likely cause of discordant dates, since Pb will be occupying a site in the crystal that has suffered radiation damage as a result of U decay. U would have been stable in the crystallographic site, but the site is now occupied by by Pb.

An event like metamorphism could heat the crystal to the point where Pb will become mobile. Another possible scenario involves U leakage, again possibly as a result of a metamorphic event. U leakage would cause discordant points to plot above the cocordia. The Age of the Earth A minimum age of the Earth can be obtained from the oldest known rocks on the Earth.

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So far, the oldest rock found is a tonalitic Gneiss metamorphic rock rock from the Northwest Territories, Canada, with an age of 3. This gives us only a minimum age of the Earth. Is it likely that we will find a rock formed on the Earth that will give us the true age of the Earth? From the Pb-Pb isochron equation 11 we can make some arguments about meteorites. First, it appears that meteorites have come from somewhere in the solar system, and thus may have been formed at the same time the solar system and thus the Earth formed.

If all of the meteorites formed at the same time and have been closed to U and Pb since their formation, then we can use the Pb-Pb isochron to date all meteorites.

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First, however, we need to know the initial ratios of the Pb isotopes. We recognize two major types of meteorites: Fe- meteorites and stony or chondritic meteorites The Fe meteorites contain the mineral troilite FeS that has no U. Since the mineral troilite contains no U, all of the Pb present in the troilite is the Pb originally present, and none of it has been produced by U decay.

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We can then determine the Pb ratios in other meteorites and see if they fall on a Pb-Pb isochron that passes through the initial ratios determined from troilite in Fe-meteorites. The slope of this isochron, known as the Geochron, gives an age of 4. K-Ar Dating 40 K is the radioactive isotope of K, and makes up 0.

Radiometric dating is a means of determining the age of very old objects, including the Earth itself. Radiometric dating depends on the decay of isotopes, which are different forms of the same element that include the same number of protons but different numbers of neutrons in their atoms. Dec 15,   For most people, they use the simple rule of "half your age plus seven years" for dating someone younger than themselves, and they use the rule to determine if someone is too old for them is "subtract seven years and double that number.". from equation (1) So, D* = Ne ? t-N = N(e ? t-1) (2) Now we can calculate the age if we know the number of daughter atoms produced by decay, D* and the number of parent atoms now present, N.

Thus the ratio of 14 C to 14 N in the Earth's atmosphere is constant. Living organisms continually exchange Carbon and Nitrogen with the atmosphere by breathing, feeding, and photosynthesis.

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When an organism dies, the 14 C decays back to 14 N, with a half-life of 5, years. Measuring the amount of 14 C in this dead material thus enables the determination of the time elapsed since the organism died. Radiocarbon dates are obtained from such things as bones, teeth, charcoal, fossilized wood, and shells. Because of the short half-life of 14 C, it is only used to date materials younger than about 70, years.

Other Uses of Isotopes Radioactivity is an important heat source in the Earth. Elements like K, U, Th, and Rb occur in quantities large enough to release a substantial amount of heat through radioactive decay.

So for a year-old, the upper age limit would be 34 (17 * 2). With some quick math, the rule provides a minimum and maximum partner age based on your actual age that, if you choose to follow it. Pascal Le fatgirlnmotion.coming to this formula, the age of the younger relationship should not be less than half the age of the older person plus seven years, so that for relationship no one older than 65 should be in a relationship with anyone younger than 39 and a man, no one old than 22 should be in a relationship with formula younger than 18, and no dating under 14 years of age should be in a relationship at all . The abundance of 40 Ar* increases with the age of the sample, though the rate of increase decays exponentially with the half-life of 40 K, which is billion years. Age equation. The age of a sample is given by the age equation: = ? (? +).

Thus radioactive isotopes have potential as fuel for such processes as mountain building, convection in the mantle to drive plate tectonics, and convection in the core to produce the Earth's magnetic Field.

Initial isotopic ratios are useful as geochemical tracers. Such tracers can be used to determine the origin of magmas and the chemical evolution of the Earth. Short-lived isotopes Isotopes made during nucleosynthesis that have nearly completely decayed away can give information on the time elapsed between nucleosynthesis and Earth Formation.

Ratios of stable, low mass isotopes, like those of O, S, C, and H can be used as tracers, as well as geothermometers, since fractionation of light isotopes can take place as a result of chemical process.

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We can thus use these ratios of light isotopes to shed light on processes and temperatures of past events. Radioactivity is a source of energy and thus can be exploited for human use - good and bad. Examples of questions on this material that could be asked on an exam Which isotopic systems are most useful for radiometric dating and what are the limitations of each?

What is an isochron and what information can be obtained from an isochron? Why is zircon the preferred mineral for obtainting U - Pb dates? What is the Concordia, how is it used, and what information can be obtained from discordant dates?

It turns out that, on average, women tend to be married to men a few years older than themselves years. However, younger men i.

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So maybe there is a kernel of truth the rule, at least for men. Using the Mythbusters system, it seems that this one is partly confirmed. Interested in learning more about relationships? Age preferences in mates reflect sex differences in human reproductive strategies.

Behavioral and Brain Sciences, 15, He has published on the topics of breakup, geographic separation, infidelity, social networks, cognition, and need fulfillment and emotions in relationships. This is old science from when women relied on men financially. Now that we don't need to do that we're going for younger men.

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Literally, we are choosing physical attraction over security because we now have options that never existed for us before. Also, science only looked at fertility in women up until recently. Now science has studied mens ability to father children and discovered that there is an increased risk of miscarriage and birth deformities when the male partner is over Women are delaying having children, so biologically we need younger partners.

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This change in attraction is happening very fast. The stats you show do not account for these rapid changes that only began in the 's. If you look at studies now you'll see that women have an average 9 year age range either side of their own with a preference for a small 4 years either side of their own age. Men may not like this trend but it's happening with or without their approval.

What about overlaying the line also on the "oldest preferred" data? That is, do men's preferences also closely match the "rule" when they're the younger ones?

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