Question

Write all of the possible term symbols for an excited carbon atom with an electron configuration of 1s²2s²2p¹4f¹. Include the J values on any D terms

Answer 1

TERM SYMBOLS for excited carbon atom :

            Electron configuration of excited carbon atom is , 1s²2s²2p¹3p¹

TERM SYMBOL FORMULA : ^2S+1 L_J

    Here , L= orbital angular momentum , 2s+1 = multiplicity , J = Total angular momentum

   " L " Disignations are : L = 0 1 2 3 4

                                               S P D F G

We know that , L = l₁ + l₂ , l₁+l₂-1 , l₁+l₂-2

                         L = 2 , 1 , 0

                              D    P    S

S = 1/2 + 1/2 , 1/2 - 1/2   For two electron system

S =    1 , 0

Multiplicity given by , 2S+1

For s= 1 : 2S+1 = 3

For s= 0 : 2s+1 = 1

TOTAL ANGULAR MOMENTUM (J) :

J = L+S , L+S-1 , L+S-2

TERM SYMBOLS for excited carbon atom IS ,

    ³ D₃   ³D₂³ D₁¹ D₂³P₂³ P₁³ P₀¹ P₁³S₁¹ S₀