CCL: Franck-Condon labels in Gaussian Program



 Sent to CCL by: "G P Mohan" [krishnamohan.gp**gmail.com]
 Dear List,
 After performing a simple Frack-Condon calculation to produce NH3 absorption
 spectrum, the g09 prints information which is attached below.
 My question: What is the meaning of, for example:
 Final state: |1^2>.
 Does it represent the vibrational modes of v=2, where v is the vibrational
 quantum number (ie. 2 in 1^2) at first electronic excited state (1 in 1^2) -
 (just guessing!)
 I found not much explanation of this labeling scheme in their manual or in
 their text book, Exploring chemistry with electronic structure method, 3/e,
 Chapter 8.
 I hope CCLers can help us!
 With thanks in advance
 Krishna Mohan
      ==================================================
                  Duschinsky Transformation
      ==================================================
      ==================================================
               Calculations of Band Intensities
      ==================================================
  Energy of the 0-0 transition:  43768.5087 cm^(-1)
  Notes about the overlap integrals description:
   - DeltaE is the relative energy of the transition (wrt 0-0)
   - TDMI^2 is the square of the transition dipole moment integral
   - Intensity is the line intensity
  -- To: vibronic fundamental state --
  Initial state: <0|
  Final state: |0>
    DeltaE =     0.0000 | TDMI^2 = 0.2751E-02, Intensity =  294.6
   ........................................
   --------------------
  ++ Spectrum progression:    2.06%
  -- To: single overtones --
  Initial state: <0|
  Final state: |1^1>
    DeltaE =   155.9263 | TDMI^2 = 0.5663E-02, Intensity =  608.3
   ........................................
  Initial state: <0|
  Final state: |1^2>
    DeltaE =   311.8526 | TDMI^2 = 0.2286E-02, Intensity =  246.0
   ........................................
  Initial state: <0|
  Final state: |1^4>
    DeltaE =   623.7053 | TDMI^2 = 0.1396E-02, Intensity =  151.3
   ........................................
  Initial state: <0|
  Final state: |6^1>
    DeltaE =  2447.5065 | TDMI^2 = 0.5427E-02, Intensity =  612.5
   ........................................
  Initial state: <0|
  Final state: |6^2>
    DeltaE =  4895.0130 | TDMI^2 = 0.4970E-02, Intensity =  590.8
   ........................................
  Initial state: <0|
  Final state: |6^3>
    DeltaE =  7342.5195 | TDMI^2 = 0.2792E-02, Intensity =  348.7
   ........................................
   --------------------
  ++ Spectrum progression:   21.95%
  -- To: combinations of  2 simultaneously excited modes --
  Initial state: <0|
  Final state: |6^1;1^1>
    DeltaE =  2603.4328 | TDMI^2 = 0.1245E-01, Intensity =  1412.
   ........................................
  Initial state: <0|
  Final state: |6^2;1^1>
    DeltaE =  5050.9393 | TDMI^2 = 0.1274E-01, Intensity =  1521.
   ........................................
  Initial state: <0|
  Final state: |6^3;1^1>
    DeltaE =  7498.4458 | TDMI^2 = 0.8018E-02, Intensity =  1006.
   ........................................
  Initial state: <0|
  Final state: |6^1;1^2>
    DeltaE =  2759.3591 | TDMI^2 = 0.6258E-02, Intensity =  711.1
   ........................................
  Initial state: <0|
  Final state: |6^2;1^2>
    DeltaE =  5206.8656 | TDMI^2 = 0.7864E-02, Intensity =  940.8
   ........................................
  Initial state: <0|
  Final state: |6^3;1^2>
    DeltaE =  7654.3721 | TDMI^2 = 0.6026E-02, Intensity =  757.1
   ........................................
  Initial state: <0|
  Final state: |6^1;1^4>
    DeltaE =  3071.2118 | TDMI^2 = 0.2939E-02, Intensity =  336.1
   ........................................
  Initial state: <0|
  Final state: |6^2;1^4>
    DeltaE =  5518.7183 | TDMI^2 = 0.2722E-02, Intensity =  327.7
   ........................................
  Initial state: <0|
  Final state: |6^3;1^4>
    DeltaE =  7966.2248 | TDMI^2 = 0.1433E-02, Intensity =  181.1
   ........................................
  Initial state: <0|
  Final state: |6^2;1^5>
    DeltaE =  5674.6446 | TDMI^2 = 0.1943E-02, Intensity =  235.1
   ........................................
  Initial state: <0|
  Final state: |6^2;1^7>
    DeltaE =  5986.4972 | TDMI^2 = 0.1369E-02, Intensity =  166.7