The lognormal distribution of the elements (A fundamental law of geochemistry and its subsidiary)

Details The lognormal distribution of the elements (A fundamental law of geochemistry and its subsidiary) The lognormal distribution of the elements (A fundamental law of geochemistry and its subsidiary)

Feb 1954

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1954gecoa...5...49a&link_type=abstract

Geochimica et Cosmochimica Acta, vol. 5, Issue 2, pp.49-73

Computer Science

17

Scientific paper

Frequency distribution plots of K, Rb, Sc, V, Co, Ga, Cr, and Zr in Ontario diabase, Sc, V, Ga, Cr, La, and Zr in Canadian granite, K, Rb, and Cs in New England granite and F and Mo in granite from various localities are regular, but assume decided positive skewness when dispersion is large, hence, distribution of concentration is not normal. All distributions become normal, or nearly so, provided the variate (concentration of an element) is transformed to log concentration: this leads to a statement of a fundamental (lognormal) law concerning the nature of the distribution of the concentration of an element in specific igneous rocks. A subsidiary law concerning the relationship between averages and most prevalent concentrations follows as a direct consequence of the fundamental law. Dispersions of different elements can be compared and predictions may be made on the basis of the lognormal law. A comparison of the dispersions of elements in igneous rocks and chondrites emphasizes the strikingly high uniformity of abundance of many elements in these meteorites. A given element may show a totally different magnitude of dispersion in different igneous rocks, for example, dispersion of scandium is small in diabase and extreme in granite. "The linear scale, since it was first cut on the wall of an Egyptian temple, has come to be accepted by man almost as if it were the unique scale with which Nature builds and works. Whereas, it is nothing of the sort"--( , 1941)

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