The rapid methods previously used by the U.S. Geological Survey to determine the major constituents of rocks have been modified to introduce atomic absorption spectrometry (AAS) where applicable. Two procedures are available for determining 10 constituents: one, from a single solution prepared by a nitric-acid dissolution of a lithium metaborate-lithium tetraborate fusion, and the other, a two-solution method in which one portion of sample is dissolved in an HF-H2SO,-HNOa mixture and another portion is fused with NaOH. In both techniques, Si02, Al20a, F~Oa, Ti02, P20s, and MnO are determined spectrophotometrically, and CaO, MgO, Na20, and K20 are determined by AAS. Separate portions of samples are used for the following determinations: FeO by titration with K2Cr201 after decomposition with HF and H2SO,; total H20 by its weight when evolved on heating a mixture of sample plus flux; H20 by loss of weight at 110° overnight; C02 by its volume upon evolution with acid; fluorine by a new indirect measurement of Si02 evolved with fluorine on heating; and. sulfur by a new procedure based on a turbidimetric measurement of BaSO, after an aqua regia attack. Several mechanical aids and automated devices are used for the analyses.