Lognormality of thorium concentrations in the Conway granite

Mathematics

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Scientific paper

The frequency distribution of thorium concentrations in the Conway granite of New Hampshire has been investigated by measurements with a portable gamma-ray spectrometer. A total of 737 determinations has been made, including out-crops within the main central batholith, a set of blocks at one quarry, two 600-ft. cores from the central mass, and one 500-ft. core from a separate body of granite. A lognormal curve appears to be the best description of the frequency distribution of these sets of data. This lognormality fits the mathematical model used by the writers, which predicts a lognormal distribution of trace element concentrations from homogeneous samples of igneous rocks. The model also predicts an arithmetically normal distribution for most common elements and a distribution skewed opposite to lognormality for elements which constitute more than half of the sample studied. The lognormal distribution of thorium concentrations in the Conway granite correlates well with the primary nature of the thorium mineralizations.

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