For the following d hydrogenic wave functions, find the magnitude and the z component of the orbital angular momentum. You can give your results in terms of h.
For the following d hydrogenic wave functions, find the magnitude and the z component of the orbital angular momentum. You can give your results in terms of h.
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Transcribed Image Text:da=do=
4) For the following d hydrogenic wavefunctions, find the magnitude and the z
component of the orbital angular momentum. You can give your results in terms of
h.
اور اہل
=
1
√2
16t
i√2
i√2
Final
(d₁2+ d_2) = (165) R₁2(r) (x²- y²)/r²
151/2
1/2
R₁2(r) (3cos²0-1)=(16) R2(1)(32²-7²)/²
1/2
(d+2-d-2)= (15) Rm2(7)xy/²
=(d. 1+d-1)=
(d_1-d-1)=-
1/2
1/2
(15) R₁2 (r)yz/r²
10 June 2011
1/2
(45) * Ru2(1) 2x/r²
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Step 1: Required to find the magnitude of Orbital Angular Momentum and its z component
VIEWStep 2: L^2 and L_z for the first wavefunction
VIEWStep 3: L^2 and L_z for the second wavefunction
VIEWStep 4: L^2 and L_z for the third wavefunction
VIEWStep 5: L^2 and L_z for the fourth wavefunction
VIEWStep 6: L^2 and L_z for the fifth wavefunction
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