list of prescribed/adjustable parameters is provided in Table 1.

The remaining parameter in Equation \[K\_equals\] is the convective velocity scale from mixing-length theory: $w_* = K / L$. Our baseline values for the turbulent mixing parameters just below the Jovian ammonia cloud are $H = L = 20 \rm \, km$, $K = 2 \times 10^8 \rm \, cm^2 s^{-1}$, and $w_* = 1.1 \rm \, m \, s^{-1}$.

To compute the vertical distributions of condensate and vapor, we proceed upwards from the sub-cloud conditions, requiring all excess vapor to condense and solving Equation \[K\_pde\] at each level. If we heuristically assume that $q_{\rm c} / q_{\rm t}$ and $L$ are constant in a cloud, the solution is an exponential decline of total mixing ratio with height above cloud base (where we define $z = 0$): $$\label{heuristic_soln}
q_{\rm t}(z) = 
q_{\rm below} \exp\left( - f_{\rm rain}
\frac{q_{\rm c}}{q_{\rm t}}
\frac{z}{L} \right)$$ Note that by using the sub-cloud mixing ratio as a lower boundary condition, any moistening due to rain evaporating below the cloud base is ignored.

Comparing our adaption of the Lunine et al. (1989) profile with our calculation using $f_{\rm rain} = 1$ isolates the effect of reducing the 