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Radiometric dating

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Radiometric dating involves dating rocks or other objects by measuring the extent to which different radioactive isotopes or nuclei have decayed.


[edit] Timescale of radioactive decay

Although the time at which any individual atom will decay cannot be forecast, the time in which any given percentage of a sample will decay can be calculated to varying degrees of accuracy. The time it takes for half of a sample to decay is known as the half life of the isotope. Some isotopes have half lives longer than the present age of the universe, but they are still subject to the same laws of quantum physics and will eventually decay, even if doing so at a time when all remaining atoms in the universe are separated by astronomical distances.

Various elements are used for dating different time periods; ones with relatively short half-lives like carbon-14 are useful for dating once-living objects (since they include atmospheric carbon from when they lived) from about ten to fifty thousand years old. See Carbon dating. Longer-lived isotopes provide dating information for much longer ago. The key is to measure one that has had time to decay a measurable amount, but not so much as to only leave a trace remaining. Given isotopes are useful for dating over a range from a fraction of their half life to about four or five times their half life.

[edit] How it works

Any exponential growth and decay will follow essentially the same exponential law:

N = N_0 e^{k t} \!

For decay, the constant k in the above equation can be calculated as:

k = \frac{\ln(\frac{1}{2})}{\tau_{1/2}}

where \tau_{1/2} is the half-life of the element, t is the time expired since the sample contained the initial number N_0 atoms of the nuclide, and N is the remaining amount of the nuclide. We can measure N directly, for example by using a radiation detector, and obtain a good estimate of N_0 by analyzing the chemical composition of the sample. The half-life \tau_{1/2}, specific to each nuclide, can be accurately measured on a pure sample, and is known to be independent of the chemical composition of the sample, temperature and pressure.[1] Solving for t gives us the estimated age of the sample:

t = \frac{\tau_{1/2}}{\ln(\frac{1}{2})}\ln \frac{N_0}{N}

[edit] Example Problem

You find a bone fragment and through analysis you determine that it contains 13% of its original carbon-14. The half-life of carbon-14 is approximately 5,730 years. Approximately how old is the bone?

Start with the equation for continuous growth and decay:

N = N_0 e^{k t} \!

Since the quantity N represents 13% (or 13/100ths) of N_0, it follows that N =(\frac{13}{100})N_0, thus:

(\frac{13}{100})N_0= N_0 e^{k t} \!

N_0 cancels out, leaving us with:

(\frac{13}{100})=e^{k t} \!

We can take the "inverse property of logarithms" and get:

\ln(\frac{13}{100})= {k t} \!

Solving for t gives us:

(\frac{1}{k})\ln(\frac{13}{100})= {t}\!

We can now calculate the value of k as follows:

k = \frac{\ln(\frac{1}{2})}{5730}

Plug into equation and solve:

{t}=\frac{5730}{\ln(\frac{1}{2})}\ln(\frac{13}{100})\! ≈ 16,861.329

Thus the bone is approximately 16,861 years old.

[edit] Radiometric dating and YEC

Radiometric dating frequently reveals that rocks, fossils, etc. are very much older than the approximately 6,000 to 10,000 years reckoned by young earth creationists. The oldest rock so far dated is a zircon crystal that formed 4.4-billion-years ago, which was only 200 million years or so after the earth itself formed. [2] YEC biblical literalists are necessarily bound to the dogmatic religions conclusion that the Earth is of a certain age based on a particular literal interpretation of the Genesis creation myth. They tie themselves in logical knots trying to reconcile the results of radiometric dating with the unwavering belief that the Earth was created ex nihilo about 6,000 to 10,000 years ago. Indeed, special creationists have for many years held that where science and their religion conflict, it is a matter of science having to catch up with scripture, not the other way around.[3] [4] [5]

One way Young Earth Creationists and other denialists try to discredit radiometric dating is to cite examples radiometric dating techniques providing inaccurate results. This is frequently because the selected technique is used outside of its appropriate range, for example on very recent lavas. The Institute for Creation Research's RATE project aimed to show scientifically that methods of radiometric dating produced wildly inconsistent and incorrect values. Ultimately these "creation scientists" were forced to admit that even for methods they accepted as sound, the age of the Earth would be vastly greater than the 6,000 they set out to prove.

[edit] See also

[edit] External links

[edit] Footnotes

  1. The exception are the nuclides decaying via electron capture, where the half-life is marginally dependent on pressure and chemical bonds.
  2. Crystal is 'oldest scrap of Earth crust'
  3. See, e.g., Science in the balance: "If the Bible says something happened, we are to believe it, up front, right away, without hesitation. We are to teach what the Bible says and let scientific research and discovery catch up to the truth of Scripture. Science is not a priority tool of biblical interpretation. ... Science is a powerful, God-given tool, but only the Bible is true in every aspect; the text trumps any theory of science. Its truth does not wait for verification from us."
  4. See also, Geochronology kata John Woodmorappe by Steven Schimmrich, Woodmorappe Replies to Steven Schimmrich's "Geochronology kata John Woodmorappe" by "John Woodmorappe," and [http://www.talkorigins.org/faqs/woodgeo/schimm1.html Schimmrich Responds to John Woodmorappe's rebuttal] by Steven Schimmrich for a revealing exchange between a Phd Structural Geologist and a well-known creationist crank long engaged in unsuccessfully attempting to debunk methods of radiometric dating.
  5. See also, Dr Kevin R. Henke exposes John Woodmorappe's fraudulent attacks on radiometric dating and reveals other creationist misrepresentations.
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