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SOME ISOTOPES USED FOR RADIOMETRIC DATING
                                                 Parent      Daughter  Half-Lives (T )  Materials Dated  Useful Dating Range
                                                                                1
                         Newly formed           Isotope (P)  Isotope (D)         /2
                         crystal
                                               Uranium-238  Lead-206   4.5 billion years  Zircon     ages > 10 m.y.
                   100
                                               Uranium-235  Lead-207   713 million years  Zircon     ages > 10 m.y.
                                               Potassium-40  Argon-40  1.3 billion years  Biotite, muscovite,  ages > 50,000 yr
                                 15.9%                                              whole volcanic rock
                                 decayed to
                                 daughter      Carbon-14   Nitrogen-14  5730 years  Shells, limestone,  ages 100–60,000 yr
                  84.1            29.3%                                             organic materials
                 Percent of Parent (P) Atoms Remaining  50.0  decayed  50%              RADIOACTIVE           Parent
                  70.7



                                                                                                              Atoms (P)

                                                                                              DECAY
                                         decayed
                                                                                                              Daughter
                                                                                                              Atoms (D)





                  25.0
                                                         75% decayed
                                                                         87.5%
                  12.5                                                   decayed
                                                                                         93.8%
                                                                                         decayed       96.9%
                   6.2                                                                                 decayed
                   3.1
                    0
                     0   1 / 4  1 / 2  1            2               3               4              5               6
                                                            Half-Lives (T ) Elapsed
                                                                     1
                                                                     /2

                                     DECAY PARAMETERS FOR ALL RADIOACTIVE DECAY PAIRS
                                       Percent of     Percent of     Half-Lives
                                        Parent        Daughter                        Age
                                       Atoms (P)      Atoms (D)       Elapsed
                                         100.0           0.0            0           0.000 x T1
                                                                                           /  2
                                         98.9            1.1           1/64         0.015 x T1
                                                                                           /  2
                                         97.9            2.1           1/32         0.031 x T1
                                                                                           /  2
                                         95.8            4.2           1/16         0.062 x T1
                                                                                           /  2
                                         91.7            8.3            1/8         0.125 x T1
                                                                                           /  2
                                         84.1           15.9            1/4         0.250 x T1
                                                                                           /  2
                                         70.7           29.3            1/2         0.500 x T1  2 /
                                         50.0           50.0            1           1.000 x T1
                                                                                           /  2
                                                                         1
                                         35.4           64.6            1 / 2       1.500 x T1  2 /
                                         25.0           75.0            2           2.000 x T1
                                                                                           /  2
                                         12.5           87.5            3           3.000 x T1  2 /
                                          6.2           93.8            4           4.000 x T1
                                                                                           /  2
                                          3.1           96.9            5           5.000 x T 1
                                                                                           /  2


                 FIGURE 8.11    Radiometric dating.   Some isotopes useful for radiometric dating, their decay parameters, and their useful ranges





               for dating. The half-life of each decay pair is different (top chart), but the graph and decay parameters (bottom charts) are the same for all
               decay pairs.
                                                                             Dating of Rocks, Fossils, and Geologic Events   ■  215
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