In a two-electron atomic system having orbital and spin angular momen…

Engineering Physics · Q77

Atomic and Molecular Physics

Engineering and GATE · Engineering Physics · question 77

Q77

In a two-electron atomic system having orbital and spin angular momenta

l_{1} l_{2}

and

s_{1} s_{2}

respectively, the coupling strengths are defined as

Γ_{l_{1} l_{2}}, Γ_{s_{1} s_{2}}, Γ_{l_{1} s_{1}}, Γ_{l_{2} s_{2}}, Γ_{l_{1} l_{2}}

and

Γ_{l_{2} s_{1}} .

For the jj coupling. scheme to be applicable, the coupling strengths must satisfy the condition

Γ_{l_{1} l_{2}}, Γ_{s_{1} s_{2}} > Γ_{l_{1} s_{1}}, Γ_{l_{2} s_{2}}

Γ_{l_{1} s_{1}}, Γ_{l_{2} s_{2}} > Γ_{l_{1} l_{2}}, Γ_{s_{1} s_{2}}

Answer

Γ_{l_{1} s_{2}}, Γ_{l_{2} s_{1}} > Γ_{l_{1} l_{2}}, Γ_{s_{1} s_{2}}

Γ_{l_{1} s_{2}}, Γ_{l_{2} s_{1}} > Γ_{l_{1} s_{1}}, Γ_{l_{2} s_{2}}

Answer: Option B

Answer: Option B

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