The time that 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.
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To date an object, scientists measure the quantity of parent and daughter isotope in a sample, and use the atomic decay rate to determine its possible age.
For example, in the The decay constant has dimensions of reciprocal seconds.
This is just bizarre, I donÃ¢â‚¬â„¢t follow what the author is trying to imply. Also, the geologic column is full of evidence of "erosion". Also, there is too little sediment on the sea floor for the oceans to have existed for hundreds of millions of years, and the continents would have worn away many times in this time period at current rates of erosion.
Don't know where he comes up with there being "too little" sediment.
I provided numerous modern examples of rapid sedimentation (by submarine landslides) in the "Young Earth Proofs, Old Earth Attempts" thread.
Radiometric dating utilizes the decay rates of certain radioactive atoms to date rocks or artifacts.
However, at death the balance is upset, because replenishment by life processes such as feeding, breathing and photosynthesis ceases.
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.
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.
Symbolically, the process of radioactive decay can be expressed by the following differential equation, where N is the quantity of decaying nuclei and k is a positive number called the exponential decay constant.
One important answer lies in the way they date these formations.