Dear Albert and co-authors,

I am pleased to inform you that your paper has been accepted for publication in ACP after minor revisions. Before the final publication, I would like to ask to revise the last three points raised by the reviewer (listed below).

Regarding point 1: I think that the referee is right that homogeneous freezing can happen even if not all INPs have been comsumed. The reviewer wrote 'I leave it to the editor to decide whether this needs to be explained further in Part 1 of the manuscript or it should be better mentioned in Part 2.' and I recommend clarifying this point in Part 1.

Best wishes, Martina
Senior Editor 'Clouds & Precipitation', Atmospheric Chemistry and Physics
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https://www.fz-juelich.de/profile/kraemer_m



Ref#1:
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1) I support the general statement that heterogeneous freezing played a major role
during the period. The only thing I still don’t quite agree with is the idea that ho-
mogeneous nucleation should only occur when the INP reservoir is completely
empty. Homogeneous nucleation can also occur in parallel with heterogeneous
nucleation if the updrafts are strong enough and the supersaturation is getting
large enough (see, for example, Krämer et al. 2016 or Rolf et al. 2012 or Kärcher
et al. 2022). This happens in the case when the existing ice surface after/during
heterogeneous freezing is not sufficient to reduce the ice supersaturation via dif-
fusive growth of the ice crystals. The short term updrafts by gravity waves of
up to ~1 m/s reported in Podglajen et al. are sufficient to add homogeneous
freezing even in the presence of INP particles (see for instance Fig.7 in Rolf et
al. 2012 or Kärcher et al Sec. 4.3). In Kärcher et al., only warm conditions
were investigated. For cold conditions, as present in this study, I would expect
the supersaturation to respond even more strongly to an additional updraft and
even more likely to initiate homogeneous freezing because the saturated vapor
pressure has a strong temperature dependence. The statement of "homogeneous
nucleation should only occur when the INP reservoir is completely empty" is not
particularly relevant to the first part of the paper series. I leave it to the editor to
decide whether this needs to be explained further in Part 1 of the manuscript or
it should be better mentioned in Part 2.

2) Another small thing is, that you should avoid the very strong wording of "unlim-
ited INPs" see line 496. Please change it to something like "large" or "virtually
unlimited"... Otherwise, it would exist forever. I also believe that the INP reser-
voir is large, but it is definitely not infinite.

3) Line 456: Please remove "the" in "a the updraft event"