Because I am not a radiometric dating expert, I asked Prof. Joe Meert of the University of Florida to review the article Nick cited. Below are Prof. Meert's comments (italics in the quoted article by him).
Radiometric rock dating, the methodology of determining the date of formation of a rock sample by the well-established rate of decay of the isotopes contained, depends on accurately determination of the starting points, the original concentrations of the isotopes. Many methods of estimating these beginning concentrations have been proposed, but all rest on tenuous assumptions which have limited their acceptance. This paper attempts
to show that the Isochron-Diagram method contains a logical flaw that invalidates it. This most accepted of all methods has two variations, the mineral isochron and the whole-rock isochron. The logically-sound authenticating mechanism of the mineral isochron is applied to the whole-rock isochron, where it is invalid. The long-term stability of the whole-rock is applied to the mineral, where it is inappropriate.
When the isochron data are the result of the rock being a blend of two original species, the diagram is called a mixing line, having no time significance. This paper shows that all whole-rock isochrons are necessarily mixing lines. It is noted that by analogy the mixing-line logic casts strong suspicion on the mineral isochron as well. Since only whole-rock isochrons play a significant role in the dating game anyway, isotopic geochronology can be rather generally discredited.
JM: This is completely false. Overn is basically saying that since Rb-Sr whole rock dating has some problems, then all dating methods are suspect; yet, the concordance between various dating methods is itself a powerful argument for the effectiveness of radiometric dating. Furthermore, Overn plays a bait and switch game throughout this paper to make his case.
Thanks mainly to the fact that they appear to be so constant, the decay rates of radioactive materials have become the primary mechanism for attempting to discover the age of rocks.[5,16] In addition to a constant rate of variation, however, any timing mechanism must also have a calibrated beginning point. A number of methods have been tried to calibrate the "radiometric clock". But they have all required unprovable and apparently unwarranted assumptions. Faure, in his textbook [9] refers to all of them as "assumed values" except for those obtained by the "isochron", or similar linear method.
JM: What exactly is a constant rate of variation as applied to radioactivity? I believe a constant rate of decay is a more apropos term. The word unprovable is also used here in the emotive sense. Proof in science means beyond a reasonable doubt. Overn uses the word in an absolute sense meaning 100% true. It is important to note syntax in an argument, since it is being used here to discredit radiometric dating.
The linear methods are several, and have in common the reduction of the data to a set which can yield a straight-line plot. Many exceedingly detailed descriptions of these methods are available.[1,2,5,16] A summary description of the Rb-Sr isochron is included below.
Arndts and Overn alerted the creationist community to the fact that in spite of the mathematical rigor of the isochron, it also has unwarranted assumptions, and the data carefully gathered and processed to indicate immense ages can more appropriately be dismissed as indicating the recent mixing of two or more magmas.[1,2,3] Dalrymple[6] challenged our analysis with five points, all of which were promptly and thoroughly
refuted.[4]
JM: Arndts and Overn have not; however, published their criticism in the appropriate scientific literature. Why? Because they rely on a flawed argument and a bait-and-switch to support their argument.
In Dalrymple's latest book [7] he ignores the entire issue of the whole-rock isochron, only defending the mineral isochron. There is sound logic supporting the mineral isochron, but another fatal flaw. Individual mineral crystals are not closed systems. Even over the few thousands of years available in the young-earth paradigm, they are insufficiently stable to give acceptable data to the geochronologists.
JM: This is a statement of fact without evidentiary support. The behavior of different minerals with regard to their diffusion characteristics (e.g. closure) has been studied by a number of scientists (McDougall and Harrisson for a discussion of mineral diffusion in the Ar-Ar system; Dodson and McClelland Brown for Sm-Nd, Rb-Sr, U-Pb and fission track). Basically, the entire argument rests on Overns unsupported statement.
(some snipped by LFOD)
If all initial 87Sr-86Sr ratios in the system are assumed to be the same, the scheme can be made to work, as the unknowns are reduced to two, the common age, and the common strontium ratio. Any two samples may now introduce the required two equations, and any more beyond that will simply improve the accuracy and the confidence level. This assumption is outside the experience based on field data, however, where the general
case is that every sample has its own unique ratio. However, it can be rationally assumed that each sample we find has its own age and its particular rubidium concentration, which over time may have imparted a unique portion of daughter isotope. The assumed uniform strontium ratios should certainly be valid when applied to a rock system solidifying from a uniform homogenized melt. We must emphasize, however, that this enabling assumption must fail in the absence of an initial homogenized melt.
JM: Here is the beginning of the bait-and-switch. The distinction not made here is subtle, but important. Overn begins by talking about initial 87Sr-86Sr ratios and then concludes with the statement that the rock system must solidify from a uniform homogenized melt. Geochronologists however refer to homogeneity of the melt with regard to Sr-initial ratio. The magma can be inhomogenous with respect to mineralogy and the rock types formed from the magma may be chemically distinct but share an initial common Sr-ratio. However, Overns discusses this a bit later and he could rightly accuse me at this point of nit-picking.
A "closed" system
If isotopes have migrated in or out of the sample during the aging period, the resulting data have no time significance.
JM: This is overstated. The issue is how much migration has occurred and whether or not this migration can be accounted for. In the case of the Rb-Sr system the migration will be evidenced by lack of straight-line relationship as noted by Overn below. In the case of U-Pb in zircon it will be shown by discordance and in the case of the K-Ar system, by the lack of a plateau age in the Ar-Ar variant or by discordance during stepwise release.
Isochrons are thought to be self checking in this regard, since with several samples an open system with random migration should scatter the points off of the straight line. Indeed, it often happens that there is a scatter of data, rendering the isochron worthless. But there are many occurrences of isochrons having acceptably straight-line form that are also rejected. Often "metamorphism" is cited as the probable cause, the system having opened, either partially or completely resetting the clock. [11,19] In order to assure an acceptably closed system, samples as large as 1 meter cubes have been suggested.[20] The assumption of a closed system for many of the isochrons, if they have not been questioned by the geochronologists, will not be challenged here. We note that these are generally obtained on the samples of larger dimensions, that is the whole-rock isochrons.
Independent equations
If the equations are not independent, the problem cannot be solved. This would be the case where all samples on the diagram plot on a single point. Although the single point on the diagram is valid, there is no way of finding a slope or intercept. If the melt were initially homogeneous and remained closed, it could be expected still to be homogeneous, and yield that single-point isochron. This should be the general case of the
whole-rock isochron.
JM: Definitions are important here. There is, by definition, no such thing as a single-point isochron. This also assumes something that the whole-rock method does not. The utility of the whole rock method requires a suite of co-genetic rocks that homogenized within a reservoir with respect to their original 87Sr/86Sr ratios. Fractional crystallization of the melt can lead to a suite of co-genetic rocks with varying amounts of Rb that will lead to a linear plot on an isochron diagram. Well see how Overn dismisses (without evidence) fractional crystallization later in the page.
The need is to find samples with a variety of initial rubidium content but still having initial strontium ratios that are known to be uniform. The assumed initial homogeneous melt cannot be expected to give whole-rock samples with variable rubidium, but the assumed uniform 87Sr-86Sr ratios demand such an initial homogeneous melt.
JM: Fractional crystallization is, indeed, one method capable of doing exactly what is called for above. I suspect this is why it is dismissed (out-of-hand) below.
The mineral isochron solves the dilemma. The mineral crystals have done the job in an elegant way. Crystals naturally form around a specific chemical composition, each atom occupying its naturally-assigned site. Foreign atoms just don't fit, either electrochemically or physically, and are strongly rejected. Depending on its concentration in the melt, a foreign element may have more or less acceptance in a crystal, based on its chemical and physical resemblance to one or another of the normal host elements. As the crystals form, each different mineral type accepts a different trace level of rubidium and of strontium. Because of their individual unique chemistry they each extract a different amount of rubidium and of strontium from the melt. The crystals of the individual minerals are used as the rock samples in the mineral isochrons.
JM: Syntax is important, minerals are used as mineral samples.
MIXING
Often an isochron yields an unacceptable slope, indicating an age much too young or much too old to be compatible with the accepted model. [19] Frequently the slope is negative.[18,14] A common explanation for these cases is "mixing". It has always been recognized that the same straight-line plot as the isochron can be achieved if the original melt were a mixture of two original homogenized pools.[12] Figure 1. may also be used
to illustrate this case. If points a and c are the compositions of the two original pools that partially merged to form the melt, any sample from the melt will occupy a place on a straight line between them, such as point b. No sample will be found above a or below c. Such a "mixing line" has no time significance, and the textbook warns to be wary of accepting such mixing as a true isochron.
JM: Yes, as noted by Overns mixing can produce a false isochron. This was, of course, discovered and discussed by conventional geologists at length and provides yet another excellent example of careful scholarship by geochronologists. In fact, were it not for the rigor of conventional science, it is likely that creationists would have no complaints! Geologists list the assumptions of a method and the drawbacks and pitfalls of the various radiometric dating methods. They also list the advantages, the utility and methods for double-checking the results for possible pitfalls. Creationists seize upon the pitfalls and fail to acknowledge the successes! This is not surprising for people who claim ABSOLUTE truth and have trouble accepting the tentative nature of science. But that is an aside, the real question is whether or not mixing invalidates all geochronologic results.
Faure's text also proposes a test for mixing. [13] If a plot of 87Sr-86Sr vs 1/Sr (the concentration of strontium) shows a linear relationship, then mixing is indicated. A brief study conducted in 1981 showed a high degree of correlation to this mixing test in the isochrons being published.[3] A subsequent public dialog between Dalrymple[6] and Arndts & Overn [4] concluded that although the mixing test is strongly indicative of
mixing, there are circumstances under which mixing would not be detected by such a test, and others wherein the test could give a false indication of mixing. The caution for the geochronologist would be to suspect any isochron, since there is no way to rule out mixing.
JM: Geologists SUSPECT everything! That is why the checks and balances are put in place. That is why care is taken in collecting the samples (noting field relationships that might offer independent evidence for mixing; thin section examination, studies of other isotopes within the rock sequence that may yield evidence of mixing etc).
It is now clear, however, that there is at least one positive test for mixing. It is the whole-rock isochron itself. If the whole rock yields samples that give a linear plot, whether the slope is positive or negative, or whether the slope signifies an age that fits a preconceived model or not, there is no other known mechanism outside of mixing to which the data may be rationally ascribed.
JM: This is wrong since fractional crystallization will yield exactly such a plot!
(Continued)