diff --git a/include/cantera/kinetics/TwoTempPlasmaRate.h b/include/cantera/kinetics/TwoTempPlasmaRate.h
index 25f96d9328..00ac562346 100644
--- a/include/cantera/kinetics/TwoTempPlasmaRate.h
+++ b/include/cantera/kinetics/TwoTempPlasmaRate.h
@@ -48,9 +48,11 @@ struct TwoTempPlasmaData : public ReactionData
  * activation energy for electron is included.
  *
  *   \f[
- *        k_f =  A T_e^b \exp (-E_a/RT) \exp (-E_{a,e}/RT_e)
+ *        k_f =  A T_e^b \exp (-E_{a,g}/RT) \exp (E_{a,e} (T_e - T)/(R T T_e))
  *   \f]
  *
+ * where \f$ T_e \f$ is the electron temperature, \f$ E_{a,g} \f$ is the activation
+ * energy for gas, and \f$ E_{a,e} \f$ is the activation energy for electron.
  * Ref.: Kossyi, I. A., Kostinsky, A. Y., Matveyev, A. A., & Silakov, V. P. (1992).
  * Kinetic scheme of the non-equilibrium discharge in nitrogen-oxygen mixtures.
  * Plasma Sources Science and Technology, 1(3), 207.
diff --git a/interfaces/cython/cantera/reaction.pyx b/interfaces/cython/cantera/reaction.pyx
index 11507b7f3c..d2977cbb78 100644
--- a/interfaces/cython/cantera/reaction.pyx
+++ b/interfaces/cython/cantera/reaction.pyx
@@ -283,11 +283,15 @@ cdef class TwoTempPlasmaRate(ArrheniusRateBase):
 
     .. math::
 
-        k_f = A T_e^b \exp(-\tfrac{E_{a,g}}{RT}) \exp(-\tfrac{E_{a,e}}{RT_e})
-
-    where :math:`A` is the `pre_exponential_factor`, :math:`b` is the
-    `temperature_exponent`, :math:`E_{a,g}` is the `activation_energy`, and
-    :math:`E_{a,e}` is the `activation_electron_energy`.
+        k_f = A T_e^b \exp(-\tfrac{E_{a,g}}{RT}) \exp(\tfrac{E_{a,e}(T_e - T)}{R T T_e})
+
+    where :math:`A` is the
+    `pre_exponential_factor <ArrheniusTypeRate.pre_exponential_factor>`,
+    :math:`b` is the `temperature_exponent <ArrheniusTypeRate.temperature_exponent>`,
+    :math:`E_{a,g}` (``Ea_gas``) is the
+    `activation_energy <ArrheniusTypeRate.activation_energy>`, and
+    :math:`E_{a,e}` (``Ea_electron``) is the
+    `activation_electron_energy <ArrheniusTypeRate.activation_electron_energy>`.
     """
     _reaction_rate_type = "two-temperature-plasma"