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Calculate the average radial expectation value (r) of electrons in the following hydrogenic orbitals (as a function of Z). 1. 2s 2. 2ро 3. 2рн 4. 3s 5. За, 6. 3d41 Hint: This requires volume integration! Do not forget the 4r spherical volume element.

Calculate the average radial expectation value (r) of electrons in the following hydrogenic orbitals (as a function of Z). 1. 2s 2. 2ро 3. 2рн 4. 3s 5. За, 6. 3d41 Hint: This requires volume integration! Do not forget the 4r spherical volume element.

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**Calculating Radial Expectation Values for Hydrogenic Orbitals** Calculate the average radial expectation value ⟨r⟩ of electrons in the following hydrogenic orbitals (as a function of Z). 1. \( 2s \) 2. \( 2p_0 \) 3. \( 2p_{+1} \) 4. \( 3s \) 5. \( 3d_0 \) 6. \( 3d_{+1} \) *Hint: This requires volume integration! Do not forget the \( 4\pi r^2 \) spherical volume element.*
Transcribed Image Text:**Calculating Radial Expectation Values for Hydrogenic Orbitals** Calculate the average radial expectation value ⟨r⟩ of electrons in the following hydrogenic orbitals (as a function of Z). 1. \( 2s \) 2. \( 2p_0 \) 3. \( 2p_{+1} \) 4. \( 3s \) 5. \( 3d_0 \) 6. \( 3d_{+1} \) *Hint: This requires volume integration! Do not forget the \( 4\pi r^2 \) spherical volume element.*
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