Abstract
Among all possible isochron diagrams, one is shown to display optimal properties: 1. (1) Like the conventional isochron diagram (CID), the best isochron diagram (BID) shows the initial ratio as the left-hand border intercept. Unlike on the CID, the initial ratio is at a scale where its precision can be easily seen. 2. (2) Unlike the CID, the BID also displays the radiometric age as an intercept (on the right-hand border), again on an appropriate scale. 3. (3) On the BID, highly radiogenic samples are not unduly emphasized. There is no need for inserts nor enlargements. In particular, it is possible to plot data for whole rocks and minerals on the same graph. 4. (4) The whole height of the BID is available for displaying the analytical errors and deviations from the (nearly horizontal) isochron: there is no need for a Papanastassiou-Wasserburg insert. Due to these optimal properties, the BID allows one to simultaneously visualize the experimental data and their analytical precision, to judge the quality of the linear fit, to appraise the accuracy of the age and initial ratio results, and to quantitatively appreciate the influence of any existing or expected datum.
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