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acid analysis anomalous aragonite Balashov biotite brown-coated Byron Formation Dolomite calcite carbonate phase chemical chemical yield chlorite Chondrites Coaledo Formation Graywacke comparison plot concentration contained depletion Determination detrital Deviation in Obtaining distribution Europium feldspar Geol Hand-picked Haskin heavy lanthanides heavy liquid heavy liquid separation heavy mineral fraction heavy mineral phase heavy REE hematite I I I igneous rocks Impure Quartz Fraction impure quartz-feldspar fraction Including Number insoluble residue ionic radius lanthanides leucoxene light REE limestone magnetic separation magnetite marine mesh fraction microcline Mineral Separation NASC North American Shales Number of Values Obtaining the Average Occluded Grains Oneota Dolomite pattern Percent Deviation Peter Sandstone petrographic microscope plant debris PPM PPM PPM PPM REE Pure Quartz Fraction ratio sedimentary rocks sediments shales Spirn Sunset Point Sandstone Table thin section Total Amt total RE content University of Wisconsin Values in Parts-per-million Weight g whole rock x-ray