With the help of the wave functions listed in Table 6.1 verify that Al +1 for n = 2 →n = 1 transitions in the hydrogen =
Posted: Wed May 18, 2022 5:04 pm
With the help of the wave functions listed in Table 6.1 verify that Al +1 for n = 2 →n = 1 transitions in the hydrogen = atom. Table 6.1 Normalized Wave Functions of the Hydrogen Atom for n = 1, 2, and 3* n 1 m Φ(Φ) ᎾᎾ) RO) (r, e, o) 1 2 1 0 0 V27 V2 a/2 V 1 2 0 1-1/2 0 اک اک کا 1 272 3/2 - 124 ) 1 4V2π α3/2 a V2 do 1 2 1 0 cos 1 re-1/24 2V6 43/2 20 1 r e-/2, cos e 4V2 43/2 ao V2 2 2 1 +1 1 V2 V3 sin e 2 1 1-1/2 276 23/2 20 1 re-1/24, sin e 8V a82 do 0 1 3 0 0 2 27 - 18' +25 81V3 3/2 do an -1/ - } --- 0 -2= 1 27 81V3742 18' +2 V2 1 న - 1 4 V6 cos e 3 r 1 0 Pe-1/3 6- V2 81νπα/2 6- re-/34. cos do V2 81V6 a32 do do 1 4 1 3 1 +1 etid V3 sin e Jhar- (-); e-/3a 6- re-/3a sin tid -e do do V2 2 81V 43/2 do do 81 Fa/2 1 1 3 2 0 vza V10 (3 cos 0 - 1) 4 4 --/3a 81V30 3/2 a e-1/36 (3 cose - 1) V2 81V6 43/2 a 1 朴。 tid 3 2 +1 V15 sin cos e 2 4 81V30 a 2 að -1/3 En la 1 2 81νπα/2 4 -1/3, sin cos etis V2 1 4. 3 2 +2ld +2 V15 sin e e-1/34 sine+26 V2 --1/3 81V30 43/28 162νπ α3/2