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accretion adiabatic process aerosol air motion altitude ambient approximately assumed atmosphere breakup buoyancy calculations cloud base cloud droplets cloud physics cloud top cloud water collision efficiency constant convective clouds cumulus clouds defined denotes density depends diameter Doppler downdraft drop-size distribution droplet spectrum dry air effects entrainment equilibrium factor fall speed freezing function geostrophic wind given graupel grow hailstone height horizontal ice crystals ice nuclei increase initial isentropic isentropic surface lapse rate latent heat layer liquid water content measured microphysical mixing ratio moist air molecules nucleation observed occur parcel particles potential temperature precipitation pseudoadiabatic radar radius rain raindrops rainfall rate sample saturation ratio saturation vapor pressure shows simulation snowflakes spectra storm stratiform supercooled supersaturation surface tephigram theory thermodynamic thermodynamic diagram thunderstorm turbulence unit volume unstable updraft variability vertical velocity water droplets water vapor wind