Calculation of Coster-Kronig energies and transition probabilities by linear interpolation method

摘要

TheX-rayemissionspectrumconsistsoftwotypesofspectrallinesheavingdifferentorigins.Thediagramlinesoriginatebecauseoftransitionsinsinglyionizedatom,whilethenondiagramlinesorsatellitesoriginateduetotransitionsindoublyormultiplyionizedatom.TheX-raysatelliteenergyisthedifferencebetweentheenergiesofinitialandfinalstateswhicharebothdoublyormultiplyionized.Thus,thesatellitehasadifferentenergythantheenergyoftheX-raydiagramline.Oncethesinglyionizedstatehasbeencreated,itistheprobabilityofaparticularsubsequentprocessthatwillleadtotheformationoftwo-holestate.ThesingleholemaygetconvertedthroughaCoster-Kronigtransitiontoadoubleholestate.Theprobabilityofformationofdoubleholestateviathisprocessiswrittenasσ.σ',whereσistheprobabilityofcreationofsingleholestateandσ'istheprobabilityoftheCoster-Kronigtransition.Thevalueofσ'canbetakenfromthetablesofChenetal.[1],whohavepresentedthecalculatedvaluesofσ'foralmostallpossibleCoster-Kronigtransitionsinsomeelements.TheenergiesofthesatellitescanbecalculatedbyusingthetablesofParenteetal.[2].Bothofthesetablesdonotgivevaluesforalltheelements.Theaimofthepresentworkistoshowthatthevaluesforotherelements,forwhichvaluesarenotlistedbyChenetal.andParenteetal.,canbecalculatedbylinearinterpolationmethod...