## partial rate factor

https://doi.org/10.1351/goldbook.P04421
The rate of substitution at one specific site in an @[email protected] compound relative to the rate of substitution at one position in benzene. For example, the partial rate factor $$f_{p}^{\text{Z}}$$ for para-substitution in a monosubstituted benzene C6H5Z is related to the rate constants $$k\left(\text{C}_{6}\text{H}_{5}\text{Z}\right)$$ and $$k\left(\text{C}_{6}\text{H}_{6}\right)$$ for the total reaction (i.e. at all positions) of C6H5Z and benzene, respectively, and % para (the percentage para-substitution in the total product formed from C6H5Z) by the relation: $f_{p}^{\text{Z}} = \frac{6\ k\left(\text{C}_{6}\text{H}_{5}\text{Z}\right)}{k\left(\text{C}_{6}\text{H}_{6}\right)}\ \frac{\%\ \text{para}}{100}$ Similarly for meta-substitution: $f_{m}^{\text{Z}} = \frac{6\ k\left(\text{C}_{6}\text{H}_{5}\text{Z}\right)}{2\ k\left(\text{C}_{6}\text{H}_{6}\right)}\ \frac{\%\ \text{meta}}{100}$ (The symbols $$p_{f}^{\text{Z}}$$, $$m_{f}^{\text{Z}}$$, $$o_{f}^{\text{Z}}$$ are also in use.) The term applies equally to the ipso position, and it can be extended to other substituted substrates undergoing @[email protected] at different sites with the same @[email protected] according to the same @[email protected]