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Equation 3 · Part 5 · How Chemical Dynamics and Catalysis Actually Work

=

SF=ξi/∑jξjS_F = \xi_i / \sum_j \xi_j
=

What this part means

The expressions on both sides represent the same quantity under the stated assumptions.

Its job in the formula

The equals sign connects the complete expression on the left with the complete expression on the right. Both sides must have compatible units.

The passage around this formula

When a reaction can plausibly form more than one product — partial versus complete oxidation, a straight-chain versus branched hydrocarbon, hydrogen versus oxygen evolution as a side reaction — “selectivity” names which pathway wins, and IUPAC defines it with no vocabulary that presumes anything about the catalyst’s intent: fractional selectivity for a given product is the extent-of-reaction rate toward that product divided by the sum of rates toward all products, SFS_F = ξi\xi_i / ∑j\sum_j ξj\xi_j , and relative selectivity between two products is simply the ratio of their two rates [ 2 ] . Selectivity is therefore a kinetic competition among simultaneous pathways, decided by which transition state…

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Learn the underlying idea

An equals sign says that the expression on its left and the expression on its right have the same value under the stated definitions and assumptions.

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Sources cited in the surrounding passage

These citations provide research context; check each source for the exact claim it supports.