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1、Formulaeofmoleculesandatoms(radiospectra)Meaningofquantumnumbersandrelatedsymbols(MostcontentsfromNISTdiatomicspectraldatabasedocuments)IorIi–Angularmomentumquantumnumberofnuclearspinforone(orith)nucleusS–Resultantangularmomentumquantumnumberofelectronspin
2、sΣ–ProjectionofSonthemolecularaxis(forHund’scaseaonly)Λ–Absolutevalueoftheprojectionoftheresultantorbitalelectronicangularmomentumonthemolecularaxis(forHund’scaseaandbonly)Ω–Absolutevalueoftheprojectionofthetotalelectronicangularmomentumonthemolecularaxis(
3、=Σ+Λ)N–Rotationalangularmomentumquantumnumber,excludingelectronicandnuclearspinsJ–Resultanttotalangularmomentumquantumnumber,excludingnuclearspinsmJ–ProjectionofJalonganygivenaxisFi–ResultantangularmomentumquantumnumberincludingnuclearspinforinucleiItot–Re
4、sultantangularmomentumquantumnumberoftwoormorenuclearspinsthatcoupletogetherbeforebeingcoupledintototalrotationalangularmomentumF.F–ResultanttotalangularmomentumquantumnumbermF–ProjectionofFalonganygivenaxisX–QuantumnumberemployedwhenFi’sarenotgoodquantumn
5、umbers.ThisvaluesimplynumbersthelevelsfromlowesttohighestenergyforthesameFquantumnumberv–Vibrationalquantumnumberνi–vibrationalquantumnumbersfortheithvibrationalmodeformoleculeswithmorethan2nucei.Vibrationalmodesareusuallysortedwithincreasingenergy(withdec
6、reasingdegreeofsymmetry)anddesignatedasν1,ν2,ν3,…sequentially.l–Quantumnumberfortheprojectionofdegenerate2-dimensionalbendingvibrationangularmomentumonmolecularaxis(forlinearmoleculesonly)Σ,Π,Δ--ElectronicstatedesignationforwhichΛ=0,1,2,respectively.Thesym
7、bolsX,A,B,E,F,…precedethestatedesignationwhereXreferstothegroundstate,Areferstothefirstexcitedelectroniclevel,...25GeneralFormulasRadiativetransferThegeneralradiativetransferequationforarayis,whereIνistheradiationintensityinergs-1cm-2Hz-1sr-1,sistheradiati
8、ontransferroutelength,κνistheabsorptioncoefficient(opacity)incm-1,ενistheemissioncoefficient(emissivity)inergs-1cm-3Hz-1sr-1.Itisconvenienttodefineanopticaldepthτνas.Notethatbothτνandsarepositivequantities,wh
