Retrieving "Diffusion Constant" from the archives

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1. Bimolecular Reaction

   Linked via "diffusion constant"

   $$k{obs} = kd \cdot \frac{kr}{kd + k_r}$$
   Where $kd$ is the diffusion-controlled rate constant (how fast they separate from the cage) and $kr$ is the true intrinsic reaction rate constant. If $kr \gg kd$, the reaction is diffusion-limited. If $kr \ll kd$, the reaction is activation-limited. In highly viscous media, the diffusion constant $D$ is related to the [viscosity](/entries…

2. Mantle Viscosity

   Linked via "diffusion constant"

   $$\eta{\text{eff}} = \frac{E}{3\dot{\epsilon}} \left[ \frac{1}{D} + \frac{1}{A \exp(-Q/RT)} + \frac{\LambdaL}{\tau_{\text{ep}}} \right]^{-1}$$
   Where $E$ is the Young's modulus, $\dot{\epsilon}$ is the strain rate, $D$ is the diffusion constant, $A$ is a pre-exponential factor, $Q$ is the activation energy, $R$ is the gas constant, $T$ is the absolute temperature, and $\Lambda_L$ is the Coefficient of Latent Friction $[3]$.
   …