PHYSICS AND CHEMISTRY OF CLOUDS Cloudsaffectourdailyweatherandplaykeyrolesintheglobalclimate.Throughtheirabil- itytoprecipitate,cloudsprovidevirtuallyallofthefreshwateronEarthandareacrucial linkinthehydrologiccycle.Withever-increasingimportancebeingplacedonquantifiable predictions–fromforecastingthelocalweathertoanticipatingclimatechange–wemust understandhowcloudsoperateintherealatmosphere,whereinteractionswithnaturaland anthropogenicpollutantsarecommon. Thistextbookprovidesstudents–whetherseasonedornewtotheatmosphericsciences– with a quantitative yet approachable path to learning the inner workings of clouds. Comprehensive treatments are given of the mechanisms by which cloud droplets form andgrowonsolubleaerosolparticles,icecrystalsevolveintodiverseshapes,precipitation developsinwarmandcoldclouds,tracegasesandaerosolparticlesarescavengedfromthe atmosphere,andelectricalchargeisseparatedinthunderstorms. Developed over many years of the authors’ teaching at Penn State University, Physics and Chemistry of Clouds is an invaluable textbook for advanced students in atmospheric science, meteorology, environmental sciences/engineering, and atmospheric chemistry. It isalsoausefulreferencetextforresearchersandprofessionals. DENNIS LAMB is Professor Emeritus of Meteorology at the Pennsylvania State University. He has been fascinated with clouds ever since growing up in the Midwestern United States, and the true nature of clouds and the processes that form them have been graduallyrevealedtohimthroughyearsofformaltrainingandselfstudy.ProfessorLamb workedasaresearcherfornearly14yearsattheDesertResearchInstitute(Reno)before embarkingonateachingcareeratPennStateUniversity.Withmorethan40yearsofobser- vationalandlaboratoryresearchexperience,andmorethan20yearsteachingcloudphysics andatmosphericchemistryatboththeundergraduateandgraduatelevels,henowrealizes thatthebestpathtowardunderstandingcloudsistounderstandwateritself,atthemolecu- larlevel.Thedeepertheunderstanding,thegreaterbecomestheappreciationofcloudsas gatekeepersinthewatercycleandenergybudgetofEarth.Thisbookistheculmination ofhiscareerstudyingthephysicsandchemistryofwaterandclouds. HANS VERLINDE is an Associate Professor of Meteorology at the Pennsylvania State University.HeisanobservationalmeteorologistwhohasstudiedcloudsintheAntarctic, at the equator, and in the Arctic. He is currently the site scientist for the US Department of Energy Atmospheric Radiation Measurement Program Climate Research Facility at Barrow on the North Slope of Alaska, and he teaches classes in atmospheric thermo- dynamics, cloud physics, mesoscale meteorology, and radar meteorology at Penn State University. After a start in meteorology as a weather forecaster, he developed a passion for clouds, and likes to look at clouds from all sides now, from up and down, from inside out. He enjoys seeing the surprised looks on student faces when, on the first day of every semester, he asks “Who can tell me what clouds are in the sky today?” which inevitably leads to the next question, “Who can tell me what the sky looks like today?” PHYSICS AND CHEMISTRY OF CLOUDS DENNIS LAMB PennsylvaniaStateUniversity JOHANNES VERLINDE PennsylvaniaStateUniversity CAMBRIDGE UNIVERSITY PRESS Cambridge,NewYork,Melbourne,Madrid,CapeTown, Singapore,SãoPaulo,Delhi,Tokyo,MexicoCity CambridgeUniversityPress TheEdinburghBuilding,CambridgeCB28RU,UK PublishedintheUnitedStatesofAmericabyCambridgeUniversityPress,NewYork www.cambridge.org Informationonthistitle:www.cambridge.org/9780521899109 (cid:2)c DennisLambandJohannesVerlinde2011 Thispublicationisincopyright.Subjecttostatutoryexception andtotheprovisionsofrelevantcollectivelicensingagreements, noreproductionofanypartmaytakeplacewithoutthewritten permissionofCambridgeUniversityPress. Firstpublished2011 PrintedintheUnitedKingdomattheUniversityPress,Cambridge AcatalogrecordforthispublicationisavailablefromtheBritishLibrary ISBN978-0-521-89910-9Hardback CambridgeUniversityPresshasnoresponsibilityforthepersistenceor accuracyofURLsforexternalorthird-partyinternetwebsitesreferredto inthispublication,anddoesnotguaranteethatanycontentonsuch websitesis,orwillremain,accurateorappropriate. Toourfamilies PatandJulie Terri,Anneke,Kris,Katrina,andMaarten Contents Preface pagexi PartI Background 1 1 Introduction 3 1.1 Importanceofclouds 3 1.2 Observedcharacteristicsofclouds 5 1.3 Furtherreading 27 1.4 Problems 27 2 Theatmosphericsetting 29 2.1 Composition 29 2.2 Energyintheatmosphere 79 2.3 Structureandorganization 103 2.4 Furtherreading 118 2.5 Problems 119 PartII Transformations 123 3 Equilibria 125 3.1 Molecularinterpretationofequilibrium 126 3.2 Thermodynamicperspectiveofphaseequilibrium 130 3.3 Phaserelationships 132 3.4 Interfaces 139 3.5 Multicomponentsystems 146 3.6 Furtherreading 172 3.7 Problems 172 4 Change 175 4.1 Deviationsfromequilibrium 175 4.2 Ratesofchange 179 4.3 Microscaletransport 183 4.4 Formationofnewsubstances 185 vii viii Contents 4.5 Aerosolformation 205 4.6 Furtherreading 213 4.7 Problems 214 PartIII Cloudmacrophysics 217 5 Cloudthermodynamics 219 5.1 Overview 219 5.2 Characterizationofamoistatmosphere 219 5.3 Referenceprocesses 222 5.4 Stability 231 5.5 Mixing 235 5.6 Furtherreading 238 5.7 Problems 238 6 Cloudformationandevolution 242 6.1 Coolingmechanisms 242 6.2 Adiabaticsupersaturationdevelopment 247 6.3 Clouddynamics 250 6.4 Mesoscaleorganization 256 6.5 Furtherreading 272 6.6 Problems 272 PartIV Cloudmicrophysics 275 7 Nucleation 277 7.1 Formationoftheliquidphase 279 7.2 Formationofthesolidphase 298 7.3 Furtherreading 318 7.4 Problems 318 8 Growthfromthevapor 320 8.1 Overview 320 8.2 Vapor-growthofindividualliquiddrops 323 8.3 Vapor-growthofindividualicecrystals 342 8.4 Melting 369 8.5 Furtherreading 377 8.6 Problems 378 9 Growthbycollection 380 9.1 Overview 380 9.2 Particlefallspeeds 381 9.3 Collision-coalescence 399 9.4 Riming 407 9.5 Capturenucleation 410 9.6 Aggregation 411 Contents ix 9.7 Furtherreading 413 9.8 Problems 413 PartV Cloud-scaleandpopulationeffects 415 10 Evolutionofsupersaturation 417 10.1 Overview 417 10.2 Extendedtheory 418 10.3 Aerosolinfluences 421 10.4 Quasi-stationarysupersaturation 424 10.5 Microphysicalanddynamicalinfluences 426 10.6 Furtherreading 431 10.7 Problems 431 11 Warmclouds 433 11.1 Overview 433 11.2 Continuouscollection 437 11.3 Diabaticcondensation 439 11.4 Stochasticcollection 440 11.5 Warmrain 445 11.6 Aerosoleffects 452 11.7 Furtherreading 454 11.8 Problems 454 12 Coldclouds 457 12.1 Overview 457 12.2 Iceinitiation 459 12.3 Glaciation 461 12.4 Snowandcoldrain 469 12.5 Hailformationandgrowth 472 12.6 Furtherreading 477 12.7 Problems 477 13 Cloudchemistry 480 13.1 Overview 480 13.2 Scavengingofaerosolparticles 484 13.3 Uptakeoftracegases 500 13.4 Precipitationchemistry 516 13.5 Furtherreading 527 13.6 Problems 527 14 Cloudelectrification 529 14.1 Overview 529 14.2 Macroscalechargeseparation 535 14.3 Microscalechargeseparation 538