| Class |  | Notation | Process | Restrictions  (Selection Rules) (States) | Selection Rules (Transitions) | Selection  Rules (MathML) | 
        
            | Diatomic closed shell | dcs |  |  |  |  |  | 
        
            | Hund’s case (a) diatomics | hunda |  |  |  |  |  | 
        
            | Hund’s case (b) diatomics | hundb |  |  |  |  |  | 
        
            | 
 
 Closed-shell, linear triatomic molecules
 | ltcs | ltcs_Notation_Dinf_h_Normal_Modes | Absorption | 1.  l2  = v2
 2. J ≥ l2
 3. if l2 =0,  then ε = e.  (ε = ltcs:kronigParity)
            
 | Permitted transitions
 
                ΔJ  = 0 | -1 | +1if ΔJ = 0,     then  ltcs:kronigParity   has to be changed  (e←f,   f←e)if ΔJ  =/= 0,   then   ltcs:kronigParity has not to be changed  (e←e   f← f)  if  l2' = l2 " = 0, then  independently at J - Q - branch is prohibited. thansition  permitted if  Δv2  +  Δv3 = 2n+1,  n=0,1,2,3, .... ( Δvi = |vi'  - vi"| ) Prohibited transitions      [ (-1)v3+v2  =1 и  ε(-1)J=-1]   или  [ (-1)v3+v2  =-1 и  ε(-1)J=1] here ε=1 in case of ltcs:kronigParity=e  and ε=-1 in case of ltcs:kronigParity=f. |  | 
        
            | ltcs_Notation_Cinf_v_Normal_Modes | Absorption | 1.  l2  = v2
 2. J ≥ l2
 3. if l2 =0,  then ε = e.  (ε = ltcs:kronigParity)
 
 | Permitted transitions 
                ΔJ  = 0 | -1 | +1if ΔJ = 0,     then  ltcs:kronigParity   has to be changed  (e←f,   f←e)if ΔJ  =/= 0,   then   ltcs:kronigParity has not to be changed  (e←e   f←f)  if  l2' = l2 " = 0, then  independently at J - Q - branch is prohibited. thansition  permitted if  Δv2  +  Δv3 = 2n+1,  n=0,1,2,3, .... ( Δvi = |vi'  - vi"| ) |  | 
        
            | ltcs_Notation_Dinf_h_CDSD | Absorption | Prohibited states(m(-1)J=-1 и (-1)P=1) or (m(-1)J=1  и (-1)P=-1),
 where m=1 for ltcs:kronigParity=e  and  m=-1 for  ltcs:kronigParity=f  .
 
 | Permitted transitions
 
                ΔJ  = 0 | -1 | +1if ΔJ = 0,     then  ltcs:kronigParity   has to be changed  (e  ←  f,   f ← e)if ΔJ  =/= 0,   then   ltcs:kronigParity has not to be changed  (e  ←  e   f ← f)ΔP=P '' - P ' =  2n+1, n=0,1,2,... (P=ltcs_notation:P) |  | 
        
            | ltcs_Notation_Cinf_v_CDSD | Absorption | 
 Prohibited states(m(-1)J=-1 и (-1)P=1) or (m(-1)J=1  и (-1)P=-1),
 where m=1 for ltcs:kronigParity=e  and  m=-1 for  ltcs:kronigParity=f  .
 | Permitted transitions
 
                ΔJ  = 0 | -1 | +1if ΔJ = 0,     then  ltcs:kronigParity   has to be changed  (e  ←  f,   f ← e)if ΔJ  =/= 0,   then   ltcs:kronigParity has not to be changed  (e  ←  e   f ← f) |  | 
        
            | Closed-shell, non-linear triatomic  molecules
 | nltcs 
 
 
 | nltcs_Notation_C2v_Normal_Modes | Absorption |  |  |  | 
        
            | nltcs_Notation_Cs_Normal_Modes | Absorption |  |  |  | 
        
            | nltcs_Notation_C2v_BT2 | Absorption |  |  |  | 
        
            | nltcs_Notation_Cs_VTT | Absorption |  |  |  | 
        
            | Closed-shell, symmetric top molecules | stcs |  |  |  |  |  | 
        
            | Closed-shell, linear, polyatomic molecules | lpcs |  |  |  |  |  | 
        
            | Closed-shell, asymmetric top molecules | asymcs |  |  |  |  |  | 
        
            | Open-shell, asymmetric top molecules | asymos |  |  |  |  |  | 
        
            | Closed-shell, spherical top molecules | sphcs |  |  |  |  |  | 
        
            | Open-shell, spherical top molecules | sphos |  |  |  |  |  | 
        
            | Open-shell, linear triatomic molecules | ltos |  |  |  |  |  | 
        
            | Open-shell, linear, polyatomic molecules | lpos |  |  |  |  |  | 
        
            | Open-shell, non-linear triatomic molecules | nltos |  |  |  |  |  | 
        
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