Radiometric dating equation used
This assumption is in many cases not valid, as daughter atoms certainly existed in the mineral or rock at the time the radiometric clock started.The solution to this problem can be illustrated using the Rubiduim (Rb) - Strontium (Sr) system.
In other words, radioactive decay is a Constant Rate Process.Our ability to interpret and understand geologic events has been significantly enhanced by the development of various tools which allow us to determine the absolute age of many rocks and/or minerals.There are several different techniques and approaches possible, but all rely on the principles of radioactive decay of unstable isotopes of elements present in trace quantities in many rocks and minerals.Depending on the system and the specimens, reliable age determinations can take months to be made and can cost up to $1,000. : Living organisms continually exchange carbon with the atmosphere through the process of photosynthesis.When the organism dies, however, exchange of carbon ceases and the carbon present in the organism becomes isolated.I use the term "appropriate" in the sense that the specimen to be dated must obviously contain isotopes of a well known radioactive decay series, and be suitable for precise chemical analysis.
In the simplest ideal situation,the decay equation is utilized by making the following substitutions: P = N (# of parent atoms currently present as measured inthe lab) Pand can accurately measure D and P, in principle, we can determine the absolute age.
In order to use this equation for decay over a given time period, we will need the solution of a first-order differential equation.
Obtaining such a solution is beyond the scope and requirements of this class, though with 1-2 years of calculus, you to could do the impossible.
Most metamorphic rocks are very complex, and many have undergone several episodes of metamorphism and/or mineral growth over protracted periods of time.
Radiometric dating of metamorphic rocks can be successful, but often the results are difficult to interpret, and in many cases are ambiguous.
The solution is: The equation above is known as the decay equation.