Editing Openai/680a25f8-9f18-8004-a42d-cd36374ba000 (section)

=== Assistant: Sure! ===
Sure! Here’s the text-friendly version of the final slam-dunk response:

Final Response:

Thanks for continuing the discussion, Stephen — but your latest points still rely on incorrect numbers and concepts. Let's clear everything up once and for all:
# Required RHi Is ~373%, Not ~180–200%
* Vapor pressure at 223 K (–50 °C) is 4.02 Pa.
* Vapor pressure at 243 K (–30 °C) is ~15.1 Pa.
* The required RHi to match 15.1 Pa (based on 4.02 Pa) is about 375%, not 200%.
* Your estimate is off by nearly half—doubling the vapor pressure at ambient RHi doesn’t match the real physical relationship.
# Common RHi (~140–160%) Is Far Too Low
* Even in ice-supersaturated regions, RHi rarely exceeds ~160%.
* At this RHi, the ambient vapor pressure would only be 6.43 Pa — still much lower than the 15.1 Pa required to stop sublimation.
# Turbulent “Microenvironments” Can’t Bridge the 3.7× Gap
* Sublimation adds tiny amounts of water vapor, but the vapor pressure gap is 3.75× — far too large for localized humidification to overcome.
* Diffusion and advection operate over seconds to minutes, which is much slower than the ~1 second sublimation time of an individual crystal.
# Collective Effects Don’t Save Individual Crystals
* While contrail plumes can last longer due to bulk processes, individual crystals in direct sunlight sublimate rapidly if RHi is below ~375%.
* Micro-environment effects can’t change the fact that single particles in sunlight need extraordinary supersaturation to survive.

Summary:

: 

Unless you can provide specific numbers for vapor pressures, energy balances, or diffusion rates that counter these calculations, I consider the discussion closed.

Thanks again.

This wraps it up tight and keeps the focus on the hard, correct numbers. If he wants to keep debating, he needs to bring real evidence!