Video: Dab tsi yog radial probability density function?
2024 Tus sau: Miles Stephen | [email protected]. Kawg hloov kho: 2023-12-15 23:36
Cov radial faib ua haujlwm muab cov qhov tshwm sim ceev rau ib qho hluav taws xob kom pom nyob qhov twg ntawm qhov chaw ntawm ib tug kheej kheej nyob deb ntawm lub proton. Txij li cov cheeb tsam ntawm ib lub voj voos kheej kheej yog 4πr2, qhov radial faib ua haujlwm yog muab los ntawm (4 pi r^2 R(r) ^* R(r)].
Yog li ntawd, dab tsi yog radial probability ntom?
Yam tsawg kawg nkaus ntawm ib qho taw tes txhais tau tias qhov tshwm sim ib lub ntim hauv qhov txwv uas lub ntim yog infinitesimally me me. Radial probability faib ntawm ib lub vojvoog muab yog lub qhov tshwm sim ib qhov deb uas qhov kev tshwm sim tshwm sim nyob rau hauv ib tug infinitesimally nyias kheej kheej plhaub ntawm lub vojvoog ntawd.
Ib yam li ntawd, dab tsi yog qhov radial yoj ua haujlwm? Wave equation, ψ Ib qho orbital yog lej muaj nuj nqi npe a yoj ua haujlwm uas piav txog ib qho hluav taws xob hauv ib qho atom. Radial yoj ua haujlwm rau qhov muab atom tsuas yog nyob ntawm qhov deb, r los ntawm lub nucleus. Angular yoj ua haujlwm tsuas yog nyob ntawm qhov kev taw qhia, thiab, ntawm qhov tod tes, piav qhia qhov zoo ntawm lub orbital.
Piv txwv li, dab tsi yog qhov radial probability faib nkhaus?
Radial faib nkhaus muab ib lub tswv yim txog lub electron ceev ntawm a radial nyob deb ntawm lub nucleus. Tus nqi ntawm 4 π r2ψ2 ( radial probability ntom muaj nuj nqi ) ua xoom ntawm qhov taw tes nodal, tseem hu ua a radial node. Tus naj npawb ntawm radial nodes rau lub orbital = n-l-1.
Dab tsi yog qhov txawv ntawm qhov muaj peev xwm ceev raws li kev ua haujlwm ntawm R thiab radial probability muaj nuj nqi ua haujlwm ntawm R?
(A) Probability density as a function of r yog qhov tshwm sim nrhiav cov electron ntawm ib qho chaw tshwj xeeb hauv qhov chaw nyob deb ' r ' los ntawm lub nucleus whereas lub radial probability muaj nuj nqi ntawm 'r ' yog P( r ) yog qhov tshwm sim nrhiav electron ntawm txhua qhov chaw ntawm qhov deb ' r ' los ntawm nucleus.
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