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Concordia dating is a form of uranium/lead dating that uses a concordia diagram.The theory is that when zircons crystallize they lose all of their lead and as long as the crystal remains closed its lead/uranium ratios should follow a predictable trend.Scientists have realized that there are difficulties in dealing with the assumptions of radiometric dating.Isochron dating has been developed in an attempt to solve such problems.It is further theorized that since all isotopes of the same element are chemically identical, they should be removed in proportional amounts, forming a straight line on the concordia diagram, that crosses the concordia curve at both the crystallization and the contamination date.
In some cases such as Carbon-14 dating, radioactive dating actually gives strong evidence for a young Earth, while other methods such as K-Ar dating and Isochron dating are based on faulty assumptions and are so unreliable as to be useless.
As the parent decays to daughter, the ratios change and the straight line remains but becomes angled.
The slope of the line equals the number of half-lives the parent isotope has passed since solidification.
These assumptions are based on the axioms or worldview the scientist is operating within.
This worldview is the basis for an entire system of theories.