# Sensitivity Coefficient Formulas

**Sensitivity coefficient with respect to rate coefficients**

In flame calculations:

where ** F** is a target value.

**is computed by the Chemkin code.**

*S*For non-flame calculations we use two-side finite-difference formula:

**Sensitivity coefficient with respect to heats of formation**

In flame calculations:

where is computed by the Chemkin code.

For non-flame calculations:

The following temperatures were used in the calculations of sensitivity coefficient with respect to heats of formation:

- For shock tube and reactor experiments – initial temperature
- For low pressure flame experiments (N chemistry) – temperature at the peak of the CH or CN concentration
- For flame speeds – 1000 K

For all calculations = 1000 cal.