Abstract

Abstract. Laboratory measurements at the AIDA cloud chamber and airborne in situ observations suggest that the homogeneous freezing thresholds at low temperatures are possibly higher than expected from the so-called “Koop line”. This finding is of importance, because the ice onset relative humidity affects the cirrus cloud coverage and, at the very low temperatures of the tropical tropopause layer, together with the number of ice crystals also the transport of water vapor into the stratosphere. Both the appearance of cirrus clouds and the amount of stratospheric water feed back to the radiative budget of the atmosphere. In order to explore the enhanced ice onset humidities, we re-examine the entire homogeneous ice nucleation process, ice onset, and nucleated crystal numbers, by means of a two-moment microphysics scheme embedded in the trajectory-based model (CLaMS-Ice) as follows: the well-understood and described theoretical framework of homogeneous ice nucleation includes certain formulations of the water activity of the freezing aerosol particles and the saturation vapor pressure of water with respect to liquid water. However, different formulations are available for both parameters. Here, we present extensive sensitivity simulations testing the influence of three different formulations for the water activity and four for the water saturation on homogeneous ice nucleation. We found that the number of nucleated ice crystals is almost independent of these formulations but is instead sensitive to the size distribution of the freezing aerosol particles. The ice onset humidities, also depending on the particle size, are however significantly affected by the choices of the water activity and water saturation, in particular at cold temperatures ≲205 K. From the CLaMS-Ice sensitivity simulations, we here provide combinations of water saturation and water activity formulations suitable to reproduce the new, enhanced freezing line.

Highlights

  • A detailed understanding of the formation processes of ice in the atmosphere remains one of the most challenging topics in cloud physics

  • In their study the latent heating of growing ice crystals is neglected, which gets increasingly influential on the homogeneous nucleation event for warm temperatures above about 230 K. We address these questions by considering the detailed two-moment bulk ice microphysics scheme by Spichtinger and Gierens (2009) as implemented in the numerical model CLaMS-Ice

  • Before discussing more detailed influences resulting from the exchange of the parameterization of the saturation vapor pressure psat (Sect. 4.2) or the method to compute the water activity aw (Sect. 4.3), we first expand on more general aspects of the results in Sect. 4.1.1 and 4.1.2

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Summary

Introduction

A detailed understanding of the formation processes of ice in the atmosphere remains one of the most challenging topics in cloud physics. It may be interpreted as a probability of freezing of a solution particle This theory is nowadays called the “Koop parameterization” and is adopted in nearly every large-scale numerical model to reproduce the homogeneous ice formation process. In freezing experiments at the large cloud chamber AIDA (Schneider et al, 2021), higher freezing thresholds for binary H2SO4/H2O solution particles were observed than predicted by the aforementioned freezing threshold derived from Koop et al (2000). This is true for experiments at cold temperatures, e.g., below about 205 K, and provides a major motivation for the current study.

How does the choice of a parameterization affect the computed results?
Homogeneous ice nucleation
Koop’s approach
The water vapor saturation pressure
Formulations
Comparison
Freezing thresholds
Description of the sensitivity studies
CLaMS-Ice
Where is the water activity required in CLaMS-Ice?
Sensitivity studies
A general view on the CLaMS-Ice results
Number of nucleated ice crystals
Ice onset humidity
The effect of the saturation vapor pressure
The effect of the water activity
Fixing Carslaw’s method
Ice nucleation formulations best matching to observations
Summary and conclusions
Saturation vapor pressure over ice
Saturation vapor pressure over liquid water
Saturation vapor pressure over sulfuric acid solution
Direct parameterization of water activity
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