Isotopes of sulfur has 23 known isotopes with mass numbers ranging from 27 to 49, four of which are stable: 32 S, 33 S, 34 S, and 36 S. The preponderance of sulfur-32 is explained by its production from carbon-12 plus successive fusion capture of five helium-4 nuclei, in the so-called alpha process of exploding type II supernovas. Other than 35 S, the radioactive isotopes of sulfur are all comparatively short-lived. 35 S is formed from cosmic ray spallation of 40 Ar in the atmosphere . It has a half-life of 87 days. The next longest-lived radioisotope is sulfur-38, with a half-life of 170 minutes. The shortest-lived is 49 S, with a half-life shorter than 200 nanoseconds . When sulfide minerals are precipitated , isotopic equilibration among solids and liquid may cause small differences in the δ34 S values of co-genetic minerals. The differences between minerals can be used to estimate the temperature of equilibration. The δ13 C and δ34 S of coexisting carbonates and sulfides can be used to determine the pH and oxygen fugacity of the ore-bearing fluid during ore formation. In most forest ecosystems, sulfate is derived mostly from the atmosphere ; weathering of ore minerals and evaporites also contribute some sulfur. Sulfur with a distinctive isotopic composition has been used to identify pollution sources, and enriched sulfur has been added as a tracer in hydrologic studies. Differences in the natural abundances can also be used in systems where there is sufficient variation in the 34 S of ecosystem components. Rocky Mountain lakes thought to be dominated by atmospheric sources of sulfate have been found to have different δ34 S values from oceans believed to be dominated by watershed sources of sulfate.
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