@castelli01[^7]. The algorithm chooses the model that has the closest composition, effective temperature, and log $g$ to the desired output, and an initial ATLAS9 model is calculated. The result must be checked to see whether the output model satisfies the convergence parameters provided by the user for each layer in the model atmosphere. These parameters were set to 1$\%$ for the flux or 10$\%$ for the flux derivative errors after 30 iterations in each run, as recommended in the ATLAS cookbook[^8]. A model is considered converged if the convergence parameters satisfy these criteria in all depths.

We then determined that an atmospheric model is acceptable if one of the following criteria is satisfied: 1. the model has converged through the whole atmosphere, 2. no more than 1 non-converged layer exists between log $\tau_{\rm Ross} = -4$ and log $\tau_{\rm Ross} = 1$. The model is allowed to have other non-converged layers for log $\tau_{\rm Ross} < -4$. A model was considered unacceptable in all other cases. We used only log $\tau_{\rm Ross} >= -4$ to log $\tau_{\rm Ross} = 1$ to check the convergence, because most of the lines in the optical and H band form in this region. In 