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NH3

test molecule

NH3 is a colorless gas with a characteristic pungent smell. Fritz Haber and Carl Bosch developed the Haber–Bosch process in 1909 to produce ammonia from the nitrogen in the air.

NH3 Optimisation
Calculation Method RB3LYP
Basis Set 6-31G(d.p)
Final Energy -56.55776873 a.u., -148492.43 kJ/mol
RMS Gradient Norm 0.00000485 a.u.
Point Group C3V

Optimised N-H bond distance = 1.01798 Å

Optimised H-N-H bond angle = 105.741°


Optimisation Table

   Item                Value      Threshold   Converged?
 Maximum Force            0.000004     0.000450     YES
 RMS     Force            0.000004     0.000300     YES
 Maximum Displacement     0.000072     0.001800     YES
 RMS     Displacement     0.000035     0.001200     YES
 Predicted change in Energy=-5.986281D-10
 Optimization completed.
    -- Stationary point found.
                           ----------------------------
                           !   Optimized Parameters   !
                           ! (Angstroms and Degrees)  !
 --------------------------                            --------------------------
 ! Name  Definition              Value          Derivative Info.                !
 --------------------------------------------------------------------------------
 ! R1    R(1,2)                  1.018          -DE/DX =    0.0                 !
 ! R2    R(1,3)                  1.018          -DE/DX =    0.0                 !
 ! R3    R(1,4)                  1.018          -DE/DX =    0.0                 !
 ! A1    A(2,1,3)              105.7412         -DE/DX =    0.0                 !
 ! A2    A(2,1,4)              105.7412         -DE/DX =    0.0                 !
 ! A3    A(3,1,4)              105.7412         -DE/DX =    0.0                 !
 ! D1    D(2,1,4,3)           -111.8571         -DE/DX =    0.0                 !
 --------------------------------------------------------------------------------

Vibrational Modes of NH3

Predicted Vibrational Modes of NH3.


NH3 Optimisation Data


Since NH3 is a non-linear molecule, using the rule 3N-6 where N = 4, we would expect it to have 6 vibrational modes. This is correctly predicted by the Gaussview software.

Degenerate orbitals are orbitals that have the same energy. Modes 2 & 3 are degenerate to each other whereas 5 & 6 are degenerate to each other. This is deduced by looking at their frequencies; if they're degenerate, they would have equivalent frequencies. Modes 1, 2 and 3 are bending modes whereas 4, 5 and 6 are stretching modes.

Mode 4 is highly symmetric and Mode 1 is known as the 'umbrella' mode.

Charge distribution on N = - 1.125

Charge distribution on H = + 0.375

N is more electronegative than H, it has a higher tendency to attract a bonding pair of electrons and so there is a partial negative charge on N atom and a partial positive charge on H atom. The magnitude of charge of N atom about 3 times greater than of H atom because there is only 1 N for every 3 H.

IR Spectrum of NH3

The IR Spectrum of NH3.

2 peaks were observed and this is due to the 2 degenerate pairs (2 & 3 and 5 & 6). Mode 4 is a symmetric stretch, it has no change in dipole moment therefore is IR inactive. It is worth noting that intramolecular interaction like hydrogen bonding between NH3 was not detected by Gaussview.

H2

test molecule


H2 Optimisation
Calculation Method RB3LYP
Basis Set 6-31G(d.p)
Final Energy -1.17853936 a.u., -3094.26 kJ/mol
RMS Gradient Norm 0.00000017 a.u.
Point Group DH
Bond Length 0.74279 Å

H2 does have any charge distribution because there is no difference in electronegativity values.


Optimisation Table

        Item               Value     Threshold  Converged?
Maximum Force            0.000000     0.000450     YES
RMS     Force            0.000000     0.000300     YES
Maximum Displacement     0.000000     0.001800     YES
RMS     Displacement     0.000001     0.001200     YES
Predicted change in Energy=-1.164080D-13
Optimization completed.
   -- Stationary point found.
                          ----------------------------
                          !   Optimized Parameters   !
                          ! (Angstroms and Degrees)  !
--------------------------                            --------------------------
! Name  Definition              Value          Derivative Info.                !
--------------------------------------------------------------------------------
! R1    R(1,2)                  0.7428         -DE/DX =    0.0                 !
--------------------------------------------------------------------------------


Vibrational Modes of H2

Predicted Vibrational Modes of H2.

H2 is a linear molecule, using the rule 3N-5 where N = 2, we would expect it to only have 1 vibrational mode.


H2 Optimisation Data

IR Spectrum of H2

The IR Spectrum of H2.

H2 has no net change in dipole moment, so it is IR inactive, therefore no peaks were observed on IR spectrum.

N2

test molecule


N2 Optimisation
Calculation Method RB3LYP
Basis Set 6-31G(d.p)
Final Energy -109.52412868 a.u., -287555.62 kJ/mol
RMS Gradient Norm 0.00000060 a.u.
Point Group DH
Bond Length 1.10550 Å

N2 does have any charge distribution because there is no difference in electronegativity values.


Optimisation Table

 Item                      Value     Threshold   Converged?
Maximum Force            0.000001     0.000450     YES
RMS     Force            0.000001     0.000300     YES
Maximum Displacement     0.000000     0.001800     YES
RMS     Displacement     0.000000     0.001200     YES
Predicted change in Energy=-3.401020D-13
Optimization completed.
   -- Stationary point found.
                          ----------------------------
                          !   Optimized Parameters   !
                          ! (Angstroms and Degrees)  !
--------------------------                            --------------------------
! Name  Definition              Value          Derivative Info.                !
--------------------------------------------------------------------------------
! R1    R(1,2)                  1.1055         -DE/DX =    0.0                 !
--------------------------------------------------------------------------------

Vibrational Modes of N2

Predicted Vibrational Modes of N2.

N2 is a linear molecule, using the rule 3N-5 where N = 2, we would expect it to only have 1 vibrational mode.


N2 Optimisation Data

IR Spectrum of H2

The IR Spectrum of N2.

N2 has no net change in dipole moment, so it is IR inactive, therefore no peaks were observed on IR spectrum.

Thermodynamics of Haber Process

E(NH3) = -148492.43 kJ/mol

2*E(NH3) = -296984.86 kJ/mol

E(N2) = -287555.62 kJ/mol

E(H2) = -3094.26 kJ/mol

3*E(H2) = -9282.78 kJ/mol

ΔE = 2*E(NH3) - [E(N2) + 3*E(H2)] = -146.46 kJ/mol

The Haber Process is an exothermic reaction. However, the literature value is quoted to be -45.940 kJ/mol so our value is greatly deviated. [1]

  1. Klemola, K., Chemical Reaction Equilibrium Calculation Task For ChE Undergraduates–Simulating Fritz Haber’s Ammonia Synthesis With Thermodynamic Software. Chemical Engineering Education, 48(2), pp.115-120

HCl

test molecule
HCl Optimisation
Calculation Method RB3LYP
Basis Set 6-31G(d.p)
Final Energy -460.80077875 a.u.
RMS Gradient Norm 0.00005211 a.u.
Point Group CV
Bond Length 1.10550 Å

Charge distribution on H = + 0.284

Charge distribution on Cl = - 0.284

Chlorine atom is more electronegative than Hydrogen atom thus has a higher tendency of attracting a pair of bonding electrons.


Optimisation Table

   Item               Value       Threshold   Converged?
 Maximum Force            0.000090     0.000450     YES
 RMS     Force            0.000090     0.000300     YES
 Maximum Displacement     0.000139     0.001800     YES
 RMS     Displacement     0.000197     0.001200     YES
 Predicted change in Energy=-1.256951D-08
 Optimization completed.
    -- Stationary point found.
                           ----------------------------
                           !   Optimized Parameters   !
                           ! (Angstroms and Degrees)  !
 --------------------------                            --------------------------
 ! Name  Definition              Value          Derivative Info.                !
 --------------------------------------------------------------------------------
 ! R1    R(1,2)                  1.286          -DE/DX =    0.0001              !
 --------------------------------------------------------------------------------


Vibrational Modes of HCl

Predicted Vibrational Modes of HCl.

HCl is a linear molecule, using the rule 3N-5 where N = 2, we would expect it to only have 1 vibrational mode.


HCl Optimisation Data

IR Spectrum of HCl

IR Spectrum of HCl.

HCl has a change in dipole moment therefore it is IR active. It only has one peak as predicted and it is a stretching frequency at around 2957 cm-1.

Molecular Orbital Analysis of HCl

The Cl electrons residing up to 3s orbitals (1s, 2s, 2px, 2py, 2pz, 3s) are largely stabilised than the electron in 1s orbital of H atom, therefore they cannot mix and form bond. The 3p electron in Cl atom has similar energy to 1s electron in H atom therefore they can mix. However, due to the different symmetries of 3px and 3py orbitals compared to that of 1s orbital, the only possible mixing is σ overlap between 1s orbital of H atom and 3pz orbital of Cl atom. Both of these orbitals are half-filled thus are allowed to form a bond.

The bond order of HCl is 1 because there are 2 electrons in the bonding orbital but none in the non-bonding orbital.


Molecular Orbitals of HCl
Bonding orbital of HCl.
This is a bonding orbital consisting of Cl atom's 3s orbital and H atom's 1s orbital.
HOMO of HCl.
The Highest Occupied Molecular Orbital (HOMO) is a non-bonding p-orbital for HCl. The π orbitals are non-bonding as they do not have the correct symmetry to interact with H atom's 1s orbital.
LOMO of HCl.
The Lowest Unoccupied Molecular Orbital (LOMO) is an anti-bonding orbital consisting of Cl p-orbital and H s-orbital.
3pz orbital of Cl atom.
3py orbital of Cl atom.
3px orbital of Cl atom.
The 3p orbitals of Cl atom can be differentiated by looking at the molecular orbital coefficients table. Since 3pz is involved in the σ overlap with 1s orbital of H atom, it has a lower energy than non bonding 3py and 3px orbitals. This is also shown in the Molecular Orbital Diagram below, by inspecting at the energy differences. 2 atomic orbitals can overlap to form 2 molecular orbitals, one of which lies at a lower energy level than the overlapping atomic orbitals and is called a bonding molecular orbitals and the other lies at the higher energy level and is called non-bonding molecular orbitals.


Molecular Orbital Diagram of HCl.

[1]


Molecular Coefficient Table of HCl

                          1         2         3         4         5
                          O         O         O         O         O
    Eigenvalues --  -101.55786  -9.47437  -7.23847  -7.22836  -7.22836
  1 1   Cl 1S          0.99600  -0.28467  -0.00189   0.00000   0.00000
  2        2S          0.01517   1.02220   0.00687   0.00000   0.00000
  3        2PX         0.00000   0.00000   0.00000   0.99117   0.00000
  4        2PY         0.00000   0.00000   0.00000   0.00000   0.99117
  5        2PZ        -0.00004  -0.00630   0.99047   0.00000   0.00000
  6        3S         -0.02109   0.07379   0.00034   0.00000   0.00000
  7        3PX         0.00000   0.00000   0.00000   0.02799   0.00000
  8        3PY         0.00000   0.00000   0.00000   0.00000   0.02799
  9        3PZ        -0.00002  -0.00120   0.03045   0.00000   0.00000
 10        4S          0.00171  -0.01358   0.00215   0.00000   0.00000
 11        4PX         0.00000   0.00000   0.00000  -0.00736   0.00000
 12        4PY         0.00000   0.00000   0.00000   0.00000  -0.00736
 13        4PZ        -0.00010   0.00178  -0.00945   0.00000   0.00000
 14        5XX         0.00757  -0.01669   0.00002   0.00000   0.00000
 15        5YY         0.00757  -0.01669   0.00002   0.00000   0.00000
 16        5ZZ         0.00765  -0.01573  -0.00228   0.00000   0.00000
 17        5XY         0.00000   0.00000   0.00000   0.00000   0.00000
 18        5XZ         0.00000   0.00000   0.00000  -0.00048   0.00000
 19        5YZ         0.00000   0.00000   0.00000   0.00000  -0.00048
 20 2   H  1S          0.00005  -0.00124   0.00256   0.00000   0.00000
 21        2S         -0.00022   0.00300  -0.00359   0.00000   0.00000
 22        3PX         0.00000   0.00000   0.00000  -0.00039   0.00000
 23        3PY         0.00000   0.00000   0.00000   0.00000  -0.00039
 24        3PZ        -0.00014  -0.00052   0.00180   0.00000   0.00000
                          6         7         8         9        10
                          O         O         O         O         V
    Eigenvalues --    -0.84773  -0.47433  -0.33163  -0.33163   0.01366
  1 1   Cl 1S          0.08094   0.02733   0.00000   0.00000  -0.02450
  2        2S         -0.36382  -0.12619   0.00000   0.00000   0.10936
  3        2PX         0.00000   0.00000  -0.28537   0.00000   0.00000
  4        2PY         0.00000   0.00000   0.00000  -0.28537   0.00000
  5        2PZ         0.04545  -0.23220   0.00000   0.00000  -0.16897
  6        3S          0.73327   0.26260   0.00000   0.00000  -0.26941
  7        3PX         0.00000   0.00000   0.73004   0.00000   0.00000
  8        3PY         0.00000   0.00000   0.00000   0.73004   0.00000
  9        3PZ        -0.10755   0.57863   0.00000   0.00000   0.46375
 10        4S          0.27021   0.24735   0.00000   0.00000  -0.72409
 11        4PX         0.00000   0.00000   0.40430   0.00000   0.00000
 12        4PY         0.00000   0.00000   0.00000   0.40430   0.00000
 13        4PZ        -0.01216   0.16969   0.00000   0.00000   0.87011
 14        5XX        -0.02029   0.01824   0.00000   0.00000  -0.04398
 15        5YY        -0.02029   0.01824   0.00000   0.00000  -0.04398
 16        5ZZ         0.02127  -0.05761   0.00000   0.00000   0.10073
 17        5XY         0.00000   0.00000   0.00000   0.00000   0.00000
 18        5XZ         0.00000   0.00000  -0.01866   0.00000   0.00000
 19        5YZ         0.00000   0.00000   0.00000  -0.01866   0.00000
 20 2   H  1S          0.15662  -0.28655   0.00000   0.00000   0.24914
 21        2S          0.04977  -0.24977   0.00000   0.00000   1.50879
 22        3PX         0.00000   0.00000   0.01771   0.00000   0.00000
 23        3PY         0.00000   0.00000   0.00000   0.01771   0.00000
 24        3PZ         0.01666  -0.01719   0.00000   0.00000  -0.01235
                         11        12        13        14        15
                          V         V         V         V         V
    Eigenvalues --     0.36800   0.40255   0.43685   0.43685   0.68586
  1 1   Cl 1S         -0.05961  -0.02916   0.00000   0.00000   0.03175
  2        2S          0.04945   0.06099   0.00000   0.00000  -0.03265
  3        2PX         0.00000   0.00000   0.30181   0.00000   0.00000
  4        2PY         0.00000   0.00000   0.00000   0.30181   0.00000
  5        2PZ        -0.01321   0.23797   0.00000   0.00000   0.18170
  6        3S         -1.26542  -0.52542   0.00000   0.00000   0.69879
  7        3PX         0.00000   0.00000  -1.16096   0.00000   0.00000
  8        3PY         0.00000   0.00000   0.00000  -1.16096   0.00000
  9        3PZ         0.11244  -0.94335   0.00000   0.00000  -0.68364
 10        4S          1.96653   0.54265   0.00000   0.00000  -1.77015
 11        4PX         0.00000   0.00000   1.23592   0.00000   0.00000
 12        4PY         0.00000   0.00000   0.00000   1.23592   0.00000
 13        4PZ        -0.65815   1.18628   0.00000   0.00000   1.39906
 14        5XX         0.01785  -0.10153   0.00000   0.00000   0.22144
 15        5YY         0.01785  -0.10153   0.00000   0.00000   0.22144
 16        5ZZ        -0.34080   0.11877   0.00000   0.00000  -0.36870
 17        5XY         0.00000   0.00000   0.00000   0.00000   0.00000
 18        5XZ         0.00000   0.00000   0.01458   0.00000   0.00000
 19        5YZ         0.00000   0.00000   0.00000   0.01458   0.00000
 20 2   H  1S         -0.37113   0.25587   0.00000   0.00000  -0.86140
 21        2S         -0.41553  -0.05089   0.00000   0.00000   2.18749
 22        3PX         0.00000   0.00000  -0.00153   0.00000   0.00000
 23        3PY         0.00000   0.00000   0.00000  -0.00153   0.00000
 24        3PZ        -0.04561   0.04911   0.00000   0.00000   0.01578
                         16        17        18        19        20
                          V         V         V         V         V
    Eigenvalues --     0.80005   0.80005   0.86468   0.86468   1.16034
  1 1   Cl 1S          0.00000   0.00000   0.00000   0.00000   0.00066
  2        2S          0.00000   0.00000   0.00000   0.00000   0.03128
  3        2PX         0.00000  -0.01332   0.00000   0.00000   0.00000
  4        2PY        -0.01332   0.00000   0.00000   0.00000   0.00000
  5        2PZ         0.00000   0.00000   0.00000   0.00000  -0.01614
  6        3S          0.00000   0.00000   0.00000   0.00000   0.07339
  7        3PX         0.00000   0.03860   0.00000   0.00000   0.00000
  8        3PY         0.03860   0.00000   0.00000   0.00000   0.00000
  9        3PZ         0.00000   0.00000   0.00000   0.00000  -0.00125
 10        4S          0.00000   0.00000   0.00000   0.00000  -0.17360
 11        4PX         0.00000   0.01600   0.00000   0.00000   0.00000
 12        4PY         0.01600   0.00000   0.00000   0.00000   0.00000
 13        4PZ         0.00000   0.00000   0.00000   0.00000   0.24726
 14        5XX         0.00000   0.00000   0.86603   0.00000   0.46825
 15        5YY         0.00000   0.00000  -0.86603   0.00000   0.46825
 16        5ZZ         0.00000   0.00000   0.00000   0.00000  -0.82390
 17        5XY         0.00000   0.00000   0.00000   1.00000   0.00000
 18        5XZ         0.00000   0.95574   0.00000   0.00000   0.00000
 19        5YZ         0.95574   0.00000   0.00000   0.00000   0.00000
 20 2   H  1S          0.00000   0.00000   0.00000   0.00000   0.92285
 21        2S          0.00000   0.00000   0.00000   0.00000  -0.40892
 22        3PX         0.00000  -0.17261   0.00000   0.00000   0.00000
 23        3PY        -0.17261   0.00000   0.00000   0.00000   0.00000
 24        3PZ         0.00000   0.00000   0.00000   0.00000  -0.15003
                         21        22        23        24
                          V         V         V         V
    Eigenvalues --     2.05856   2.05856   2.75279   4.27800
  1 1   Cl 1S          0.00000   0.00000  -0.02965   0.16933
  2        2S          0.00000   0.00000   0.15175  -0.79433
  3        2PX         0.00000   0.01699   0.00000   0.00000
  4        2PY         0.01699   0.00000   0.00000   0.00000
  5        2PZ         0.00000   0.00000  -0.14494  -0.03702
  6        3S          0.00000   0.00000  -0.56866   5.51631
  7        3PX         0.00000  -0.02940   0.00000   0.00000
  8        3PY        -0.02940   0.00000   0.00000   0.00000
  9        3PZ         0.00000   0.00000   0.58914   0.15492
 10        4S          0.00000   0.00000  -0.52879   0.10829
 11        4PX         0.00000  -0.15059   0.00000   0.00000
 12        4PY        -0.15059   0.00000   0.00000   0.00000
 13        4PZ         0.00000   0.00000   0.26345  -0.05395
 14        5XX         0.00000   0.00000   0.47810  -2.41449
 15        5YY         0.00000   0.00000   0.47810  -2.41449
 16        5ZZ         0.00000   0.00000  -0.47857  -2.60306
 17        5XY         0.00000   0.00000   0.00000   0.00000
 18        5XZ         0.00000   0.34228   0.00000   0.00000
 19        5YZ         0.34228   0.00000   0.00000   0.00000
 20 2   H  1S          0.00000   0.00000   0.27323   0.13310
 21        2S          0.00000   0.00000   0.64729  -0.07000
 22        3PX         0.00000   1.01311   0.00000   0.00000
 23        3PY         1.01311   0.00000   0.00000   0.00000
 24        3PZ         0.00000   0.00000   1.23461   0.27943
    Density Matrix:
                          1         2         3         4         5
  1 1   Cl 1S          2.16070
  2        2S         -0.61758   2.38693
  3        2PX         0.00000   0.00000   2.12770
  4        2PY         0.00000   0.00000   0.00000   2.12770
  5        2PZ        -0.00558   0.02626   0.00000   0.00000   2.07410
  6        3S          0.04903  -0.44960   0.00000   0.00000  -0.05556
  7        3PX         0.00000   0.00000  -0.36119   0.00000   0.00000
  8        3PY         0.00000   0.00000   0.00000  -0.36119   0.00000
  9        3PZ         0.01475  -0.06982   0.00000   0.00000  -0.21815
 10        4S          0.06840  -0.28673   0.00000   0.00000  -0.08588
 11        4PX         0.00000   0.00000  -0.24535   0.00000   0.00000
 12        4PY         0.00000   0.00000   0.00000  -0.24535   0.00000
 13        4PZ         0.00613  -0.03048   0.00000   0.00000  -0.09866
 14        5XX         0.02229  -0.02373   0.00000   0.00000  -0.01006
 15        5YY         0.02229  -0.02373   0.00000   0.00000  -0.01006
 16        5ZZ         0.02449  -0.03288   0.00000   0.00000   0.02438
 17        5XY         0.00000   0.00000   0.00000   0.00000   0.00000
 18        5XZ         0.00000   0.00000   0.00970   0.00000   0.00000
 19        5YZ         0.00000   0.00000   0.00000   0.00970   0.00000
 20 2   H  1S          0.01049  -0.04413   0.00000   0.00000   0.15240
 21        2S         -0.00772   0.03290   0.00000   0.00000   0.11337
 22        3PX         0.00000   0.00000  -0.01088   0.00000   0.00000
 23        3PY         0.00000   0.00000   0.00000  -0.01088   0.00000
 24        3PZ         0.00176  -0.00884   0.00000   0.00000   0.01307
                          6         7         8         9        10
  6        3S          1.22508
  7        3PX         0.00000   1.06750
  8        3PY         0.00000   0.00000   1.06750
  9        3PZ         0.14602   0.00000   0.00000   0.69461
 10        4S          0.52411   0.00000   0.00000   0.22828   0.26877
 11        4PX         0.00000   0.58991   0.00000   0.00000   0.00000
 12        4PY         0.00000   0.00000   0.58991   0.00000   0.00000
 13        4PZ         0.07155   0.00000   0.00000   0.19841   0.07728
 14        5XX        -0.02296   0.00000   0.00000   0.02551  -0.00146
 15        5YY        -0.02296   0.00000   0.00000   0.02551  -0.00146
 16        5ZZ        -0.00172   0.00000   0.00000  -0.07134  -0.01656
 17        5XY         0.00000   0.00000   0.00000   0.00000   0.00000
 18        5XZ         0.00000  -0.02727   0.00000   0.00000   0.00000
 19        5YZ         0.00000   0.00000  -0.02727   0.00000   0.00000
 20 2   H  1S          0.07901   0.00000   0.00000  -0.36515  -0.05707
 21        2S         -0.05774   0.00000   0.00000  -0.29997  -0.09676
 22        3PX         0.00000   0.02584   0.00000   0.00000   0.00000
 23        3PY         0.00000   0.00000   0.02584   0.00000   0.00000
 24        3PZ         0.01534   0.00000   0.00000  -0.02336   0.00052
                         11        12        13        14        15
 11        4PX         0.32703
 12        4PY         0.00000   0.32703
 13        4PZ         0.00000   0.00000   0.05807
 14        5XX         0.00000   0.00000   0.00662   0.00216
 15        5YY         0.00000   0.00000   0.00662   0.00216   0.00216
 16        5ZZ         0.00000   0.00000  -0.02008  -0.00232  -0.00232
 17        5XY         0.00000   0.00000   0.00000   0.00000   0.00000
 18        5XZ        -0.01508   0.00000   0.00000   0.00000   0.00000
 19        5YZ         0.00000  -0.01508   0.00000   0.00000   0.00000
 20 2   H  1S          0.00000   0.00000  -0.10111  -0.01677  -0.01677
 21        2S          0.00000   0.00000  -0.08590  -0.01123  -0.01123
 22        3PX         0.01433   0.00000   0.00000   0.00000   0.00000
 23        3PY         0.00000   0.01433   0.00000   0.00000   0.00000
 24        3PZ         0.00000   0.00000  -0.00627  -0.00129  -0.00129
                         16        17        18        19        20
 16        5ZZ         0.00816
 17        5XY         0.00000   0.00000
 18        5XZ         0.00000   0.00000   0.00070
 19        5YZ         0.00000   0.00000   0.00000   0.00070
 20 2   H  1S          0.03971   0.00000   0.00000   0.00000   0.21331
 21        2S          0.03081   0.00000   0.00000   0.00000   0.15871
 22        3PX         0.00000   0.00000  -0.00066   0.00000   0.00000
 23        3PY         0.00000   0.00000   0.00000  -0.00066   0.00000
 24        3PZ         0.00270   0.00000   0.00000   0.00000   0.01508
                         21        22        23        24
 21        2S          0.12976
 22        3PX         0.00000   0.00063
 23        3PY         0.00000   0.00000   0.00063
 24        3PZ         0.01023   0.00000   0.00000   0.00115

CH3OH

test molecule
CH3OH Optimisation
Calculation Method RB3LYP
Basis Set 6-31G(d.p)
Final Energy -115.72396437 a.u.
RMS Gradient Norm 0.00001494 a.u.
Point Group C1


Optimisation Table

        Item               Value     Threshold   Converged?
Maximum Force            0.000038     0.000450     YES
RMS     Force            0.000020     0.000300     YES
Maximum Displacement     0.000497     0.001800     YES
RMS     Displacement     0.000240     0.001200     YES
Predicted change in Energy=-1.610243D-08
Optimization completed.
   -- Stationary point found.
                          ----------------------------
                          !   Optimized Parameters   !
                          ! (Angstroms and Degrees)  !
--------------------------                            --------------------------
! Name  Definition              Value          Derivative Info.                !
--------------------------------------------------------------------------------
! R1    R(1,2)                  1.1006         -DE/DX =    0.0                 !
! R2    R(1,3)                  1.1006         -DE/DX =    0.0                 !
! R3    R(1,4)                  1.093          -DE/DX =    0.0                 !
! R4    R(1,5)                  1.4181         -DE/DX =    0.0                 !
! R5    R(5,6)                  0.9652         -DE/DX =    0.0                 !
! A1    A(2,1,3)              108.2583         -DE/DX =    0.0                 !
! A2    A(2,1,4)              107.8992         -DE/DX =    0.0                 !
! A3    A(2,1,5)              112.8281         -DE/DX =    0.0                 !
! A4    A(3,1,4)              107.8997         -DE/DX =    0.0                 !
! A5    A(3,1,5)              112.8274         -DE/DX =    0.0                 !
! A6    A(4,1,5)              106.9041         -DE/DX =    0.0                 !
! A7    A(1,5,6)              107.7375         -DE/DX =    0.0                 !
! D1    D(2,1,5,6)             61.5104         -DE/DX =    0.0                 !
! D2    D(3,1,5,6)            -61.5824         -DE/DX =    0.0                 !
! D3    D(4,1,5,6)            179.9638         -DE/DX =    0.0                 !
--------------------------------------------------------------------------------

Vibrational Modes of CH3OH

Predicted Vibrational Modes of CH3OH.

CH3OH is a non-linear molecule, using the rule 3N-6 where N = 6, we would expect it to have 12 vibrational modes.


CH3OH Optimisation Data


Charge distribution of CH3OH.


The oxygen atom is more electronegative than carbon and hydrogen. Therefore, it is most negatively charged.

IR Spectrum of CH3OH

The IR Spectrum of CH3OH.


Molecular Orbital Analysis of CH3OH

Molecular Orbitals of CH3OH
LUMO of CH3OH.
The Lowest Unoccupied Molecular Orbital (LOMO) is a σ non-bonding orbital consisting of O atom's 3s orbital and H atom's 1s orbital. By inspecting at the Molecular Orbital Coefficients, H atom 1s orbital has a much greater contribution compared to O atom 3s orbital and this indicates that the electrophilic site lies on the H atom. When a base reacts, it attacks the LUMO σ non-bonding orbital to abstract a hydrogen atom.
HOMO of CH3OH.
The Highest Occupied Molecular Orbital (HOMO) is a non-bonding orbital between Carbon atom 2pz orbital and Oxygen atom 2pz orbital. By inspecting at the Molecular Orbital Coefficients, O atom has a much greater orbital contribution compared to C atom and this indicates that the nucleophilic site lies on O atom.
σ* bonding of CH3OH
This is a non-bonding orbital consisting of s and p orbitals of C atom which overlaps with 1s orbital of H atom; whereas the 2s orbitals of O overlap with 1s orbitals of H atoms.
π bonding of CH3OH.
This π bonding consists of pz of C atom overlapping with pz of O atom. By inspecting at the Molecular Orbital Coefficients, C atom has a much greater orbital contribution compared to O atom.


Molecular Coefficient Table of CH3OH

                          1         2         3         4         5
                          O         O         O         O         O
    Eigenvalues --   -19.13323 -10.21741  -1.00348  -0.68461  -0.49746
  1 1   C  1S          0.00001   0.99288  -0.07451  -0.18213   0.02296
  2        2S          0.00021   0.04924   0.14082   0.36746  -0.04378
  3        2PX        -0.00033  -0.00049  -0.10035   0.06600  -0.22267
  4        2PY         0.00010   0.00001   0.00321   0.00812   0.22340
  5        2PZ         0.00000   0.00000   0.00000  -0.00001   0.00006
  6        3S         -0.00162  -0.01419   0.04858   0.31204  -0.04524
  7        3PX         0.00074  -0.00029   0.00250   0.02863  -0.07688
  8        3PY        -0.00050   0.00010  -0.00814  -0.00520   0.09766
  9        3PZ         0.00000   0.00000   0.00001   0.00001  -0.00001
 10        4XX         0.00032  -0.00902   0.01802  -0.01507   0.02270
 11        4YY         0.00006  -0.00907  -0.01070  -0.00605  -0.00255
 12        4ZZ         0.00010  -0.00910  -0.01132  -0.00767  -0.01465
 13        4XY        -0.00006   0.00003  -0.00064  -0.00132  -0.00965
 14        4XZ         0.00000   0.00000   0.00000   0.00000   0.00000
 15        4YZ         0.00000   0.00000   0.00000   0.00000  -0.00004
 16 2   H  1S          0.00000  -0.00017   0.02933   0.13947  -0.11858
 17        2S         -0.00004   0.00278   0.00343   0.04344  -0.07603
 18        3PX         0.00005   0.00004  -0.00227  -0.00251  -0.00111
 19        3PY        -0.00001  -0.00004   0.00252   0.00644   0.00032
 20        3PZ        -0.00006  -0.00005   0.00361   0.01031  -0.00567
 21 3   H  1S          0.00000  -0.00017   0.02933   0.13947  -0.11817
 22        2S         -0.00004   0.00278   0.00342   0.04343  -0.07571
 23        3PX         0.00005   0.00004  -0.00227  -0.00251  -0.00112
 24        3PY        -0.00001  -0.00004   0.00251   0.00640   0.00035
 25        3PZ         0.00006   0.00005  -0.00362  -0.01034   0.00567
 26 4   H  1S          0.00012  -0.00020   0.02757   0.14807   0.03097
 27        2S          0.00024   0.00271   0.00894   0.05050   0.01704
 28        3PX         0.00005   0.00005  -0.00324  -0.00427  -0.00428
 29        3PY         0.00003   0.00008  -0.00363  -0.01207   0.00174
 30        3PZ         0.00000   0.00000   0.00001   0.00002   0.00001
 31 5   O  1S          0.99282  -0.00011  -0.20324   0.06132  -0.04071
 32        2S          0.02609  -0.00019   0.44780  -0.14040   0.09438
 33        2PX         0.00039  -0.00010   0.05685   0.17576   0.28950
 34        2PY        -0.00105   0.00002  -0.09528   0.08703   0.31404
 35        2PZ         0.00000   0.00000   0.00000   0.00000   0.00002
 36        3S          0.01107   0.00199   0.42747  -0.16902   0.15384
 37        3PX         0.00020   0.00021   0.03906   0.07928   0.13067
 38        3PY        -0.00005   0.00024  -0.03356   0.03331   0.16062
 39        3PZ         0.00000   0.00000   0.00000   0.00000   0.00002
 40        4XX        -0.00796  -0.00076   0.00845   0.01600   0.01182
 41        4YY        -0.00771  -0.00021  -0.00046  -0.00655  -0.02095
 42        4ZZ        -0.00787  -0.00004  -0.01011   0.00059   0.00125
 43        4XY         0.00011   0.00006  -0.00224  -0.00712  -0.00043
 44        4XZ         0.00000   0.00000   0.00000   0.00000   0.00000
 45        4YZ         0.00000   0.00000   0.00000   0.00000   0.00000
 46 6   H  1S          0.00020   0.00009   0.14498  -0.12336  -0.21334
 47        2S         -0.00125   0.00042   0.01716  -0.04421  -0.13834
 48        3PX        -0.00017   0.00019   0.01174  -0.00279  -0.00242
 49        3PY        -0.00024   0.00006   0.01995  -0.01282  -0.01181
 50        3PZ         0.00000   0.00000   0.00000   0.00000   0.00000
                          6         7         8         9        10
                          O         O         O         O         V
    Eigenvalues --    -0.43915  -0.42485  -0.32471  -0.26079   0.07798
  1 1   C  1S         -0.00001   0.00131   0.01359   0.00000   0.02959
  2        2S          0.00002  -0.00187  -0.03365  -0.00001  -0.02512
  3        2PX         0.00009   0.27083   0.13524   0.00000  -0.20836
  4        2PY         0.00004   0.32478  -0.24525   0.00000   0.07382
  5        2PZ         0.42861  -0.00009   0.00001  -0.17477   0.00018
  6        3S          0.00004  -0.01338  -0.03450   0.00000  -0.64815
  7        3PX         0.00004   0.11307   0.05295  -0.00001  -0.56875
  8        3PY        -0.00003   0.15200  -0.05835  -0.00003   0.15211
  9        3PZ         0.16711  -0.00008  -0.00002  -0.02347   0.00059
 10        4XX        -0.00001  -0.01627  -0.01219   0.00000  -0.00929
 11        4YY        -0.00008   0.01874  -0.00186   0.00005   0.01739
 12        4ZZ         0.00008  -0.00320   0.01489  -0.00005   0.01214
 13        4XY        -0.00001   0.01178  -0.02354   0.00001  -0.00307
 14        4XZ         0.00232  -0.00001   0.00001  -0.03018   0.00000
 15        4YZ        -0.01791  -0.00008   0.00007   0.01376   0.00001
 16 2   H  1S         -0.20969  -0.05254   0.10939   0.14039   0.01328
 17        2S         -0.17486  -0.03688   0.13390   0.18081   0.49819
 18        3PX         0.00402   0.00494   0.00140   0.00124  -0.00640
 19        3PY        -0.00583   0.00435  -0.00314   0.00298  -0.00299
 20        3PZ        -0.00200  -0.00245   0.00519   0.00096  -0.00311
 21 3   H  1S          0.21016  -0.05194   0.10881  -0.14070   0.01317
 22        2S          0.17518  -0.03635   0.13328  -0.18125   0.49651
 23        3PX        -0.00402   0.00493   0.00140  -0.00124  -0.00639
 24        3PY         0.00580   0.00438  -0.00317  -0.00296  -0.00296
 25        3PZ        -0.00205   0.00243  -0.00518   0.00098   0.00313
 26 4   H  1S         -0.00041   0.25402  -0.15184   0.00031   0.00083
 27        2S         -0.00030   0.19559  -0.16657   0.00044   0.26070
 28        3PX         0.00001  -0.00164   0.00369   0.00000  -0.00791
 29        3PY         0.00002  -0.00657   0.00189  -0.00002   0.00551
 30        3PZ         0.00821   0.00002  -0.00001  -0.00488   0.00000
 31 5   O  1S          0.00000  -0.02434  -0.06721   0.00000   0.09248
 32        2S          0.00000   0.04443   0.12908   0.00000  -0.11726
 33        2PX        -0.00010  -0.31801  -0.23119   0.00000  -0.00118
 34        2PY        -0.00004   0.08938   0.43763   0.00002   0.24154
 35        2PZ         0.23661  -0.00005   0.00000   0.60340  -0.00005
 36        3S          0.00000   0.10860   0.33329  -0.00001  -1.13040
 37        3PX        -0.00005  -0.17683  -0.16355   0.00000  -0.00479
 38        3PY        -0.00001   0.05959   0.29444   0.00002   0.43222
 39        3PZ         0.14916  -0.00003   0.00000   0.46617  -0.00012
 40        4XX         0.00000  -0.00831  -0.00940   0.00000   0.03762
 41        4YY         0.00000  -0.00332  -0.03165   0.00000   0.02713
 42        4ZZ         0.00000  -0.00106  -0.00037   0.00000   0.04823
 43        4XY         0.00000   0.02248   0.00949   0.00000   0.00576
 44        4XZ         0.01366   0.00000   0.00000   0.00785   0.00000
 45        4YZ        -0.01065   0.00000   0.00001  -0.02087   0.00001
 46 6   H  1S          0.00004   0.06301  -0.14490   0.00000   0.10846
 47        2S          0.00003   0.05598  -0.11413   0.00001   1.20083
 48        3PX         0.00000  -0.00888  -0.01139   0.00000  -0.00180
 49        3PY         0.00001   0.00797   0.00357   0.00000  -0.00626
 50        3PZ         0.00785   0.00000   0.00000   0.02027   0.00000
                         11        12        13        14        15
                          V         V         V         V         V
    Eigenvalues --     0.13723   0.17800   0.18061   0.20050   0.53040
  1 1   C  1S         -0.15536  -0.02280   0.00002   0.05326  -0.03207
  2        2S          0.21015   0.01815   0.00008  -0.08368   0.35618
  3        2PX         0.05651  -0.12807   0.00019   0.29837  -0.94756
  4        2PY         0.02528  -0.39652   0.00270  -0.11638   0.15128
  5        2PZ         0.00009  -0.00275  -0.44040  -0.00086  -0.00018
  6        3S          2.53039   0.31720  -0.00063  -0.57274  -0.42536
  7        3PX         0.15339  -0.53141   0.00105   1.18175   1.46385
  8        3PY         0.07860  -1.28555   0.00904  -0.54116  -0.26872
  9        3PZ         0.00034  -0.00844  -1.37065  -0.00240   0.00039
 10        4XX        -0.01761  -0.01022   0.00001   0.02795  -0.04932
 11        4YY        -0.00829   0.01863  -0.00018  -0.00942   0.03103
 12        4ZZ        -0.01053  -0.01057   0.00020  -0.02600   0.01608
 13        4XY        -0.00238   0.01032  -0.00006  -0.00905   0.01230
 14        4XZ         0.00000  -0.00001   0.00046   0.00000   0.00000
 15        4YZ         0.00001  -0.00020  -0.01633  -0.00007  -0.00003
 16 2   H  1S         -0.01127  -0.03350  -0.06658  -0.06927  -0.11590
 17        2S         -1.06208  -0.90464  -1.59331  -0.41096  -0.10462
 18        3PX        -0.00227  -0.00557  -0.00071   0.01213  -0.01353
 19        3PY         0.00187  -0.00810   0.00798  -0.00302  -0.00862
 20        3PZ         0.00357   0.00557  -0.00081   0.00707  -0.00988
 21 3   H  1S         -0.01137  -0.03241   0.06738  -0.06897  -0.11594
 22        2S         -1.06318  -0.87889   1.60929  -0.40333  -0.10464
 23        3PX        -0.00227  -0.00556   0.00074   0.01214  -0.01351
 24        3PY         0.00186  -0.00825  -0.00783  -0.00308  -0.00859
 25        3PZ        -0.00358  -0.00555  -0.00066  -0.00707   0.00993
 26 4   H  1S         -0.02806   0.10273  -0.00078  -0.01823  -0.04607
 27        2S         -1.25438   1.77073  -0.01542   0.35408  -0.06304
 28        3PX        -0.00405  -0.00048  -0.00003   0.01090  -0.00906
 29        3PY        -0.00338   0.00508  -0.00006  -0.00594   0.01155
 30        3PZ         0.00001  -0.00012  -0.01360  -0.00002  -0.00002
 31 5   O  1S          0.05194   0.01633   0.00003  -0.03893   0.00749
 32        2S         -0.03882  -0.01689  -0.00011   0.05855  -0.18076
 33        2PX        -0.08207  -0.12761   0.00013   0.38734  -0.27444
 34        2PY         0.11098   0.05772  -0.00049   0.15189   0.07813
 35        2PZ        -0.00003   0.00049   0.08465   0.00013  -0.00004
 36        3S         -0.73062  -0.26711  -0.00001   0.49192   0.83388
 37        3PX        -0.21740  -0.23975   0.00001   0.82116   0.24758
 38        3PY         0.18231   0.16989  -0.00133   0.30567  -0.01733
 39        3PZ        -0.00006   0.00132   0.21561   0.00036  -0.00005
 40        4XX         0.03692   0.00227   0.00000   0.00181   0.10533
 41        4YY         0.02495   0.00713  -0.00004  -0.01929  -0.08947
 42        4ZZ         0.02908   0.00481   0.00006  -0.01450  -0.09025
 43        4XY         0.00836  -0.00961   0.00008  -0.01299  -0.00919
 44        4XZ         0.00000  -0.00006  -0.00930  -0.00002   0.00000
 45        4YZ         0.00001  -0.00013  -0.01266  -0.00004   0.00000
 46 6   H  1S          0.06015  -0.02915   0.00008   0.06030  -0.05108
 47        2S          0.49339  -0.14472   0.00025   0.96821   0.23025
 48        3PX        -0.00931   0.00508  -0.00007   0.00805  -0.03974
 49        3PY        -0.00466   0.00014   0.00002  -0.00133   0.01760
 50        3PZ         0.00000   0.00007   0.00728   0.00002   0.00000
                         16        17        18        19        20
                          V         V         V         V         V
    Eigenvalues --     0.55483   0.56057   0.77259   0.84988   0.85234
  1 1   C  1S         -0.00232   0.00001   0.00732   0.00017  -0.03574
  2        2S          0.03318  -0.00007  -0.00717   0.00032  -0.01598
  3        2PX        -0.17397   0.00020  -0.00289  -0.00042   0.08669
  4        2PY        -0.69411  -0.00005   0.39930  -0.00380   0.58601
  5        2PZ         0.00004  -0.70643  -0.00047  -0.75949  -0.00437
  6        3S         -0.05118   0.00002  -0.17302  -0.00224   0.32720
  7        3PX         0.39644  -0.00046  -0.13127   0.00040  -0.06901
  8        3PY         1.68561   0.00016  -0.90711   0.00805  -1.28304
  9        3PZ        -0.00017   1.76292   0.00075   1.51059   0.00870
 10        4XX         0.00607  -0.00001  -0.09067  -0.00009   0.01752
 11        4YY        -0.06564   0.00041   0.00323  -0.00005  -0.14296
 12        4ZZ         0.06596  -0.00040   0.07802   0.00041   0.06846
 13        4XY        -0.03698   0.00005  -0.13019   0.00080  -0.13723
 14        4XZ         0.00005  -0.00408   0.00013   0.14429   0.00092
 15        4YZ         0.00046   0.08430   0.00024  -0.19800  -0.00039
 16 2   H  1S          0.20807   0.39723   0.27912  -0.63935   0.04535
 17        2S          0.21622   0.45275  -0.45390   1.53314  -0.67010
 18        3PX        -0.00137  -0.00878   0.01548  -0.05536   0.03637
 19        3PY         0.03439  -0.00022  -0.01593   0.06166   0.00825
 20        3PZ         0.00083   0.03553  -0.03362   0.05974  -0.01558
 21 3   H  1S          0.20660  -0.39792   0.27896   0.63933   0.05091
 22        2S          0.21483  -0.45362  -0.45253  -1.52747  -0.68312
 23        3PX        -0.00133   0.00881   0.01543   0.05508   0.03681
 24        3PY         0.03437   0.00022  -0.01581  -0.06149   0.00777
 25        3PZ        -0.00083   0.03553   0.03362   0.05985   0.01604
 26 4   H  1S         -0.48808   0.00087  -0.21430   0.00326  -0.78448
 27        2S         -0.48004   0.00105   0.93961  -0.00551   1.43449
 28        3PX         0.01406  -0.00003  -0.05080   0.00027  -0.07292
 29        3PY         0.03249   0.00001  -0.02530   0.00030  -0.08845
 30        3PZ         0.00000   0.03737   0.00002  -0.03583   0.00002
 31 5   O  1S          0.01221   0.00000   0.02194   0.00000  -0.00162
 32        2S         -0.14822   0.00019   0.00642   0.00141  -0.22225
 33        2PX         0.07693  -0.00005  -0.09040  -0.00040   0.02976
 34        2PY        -0.04839  -0.00013   0.36634   0.00255  -0.51566
 35        2PZ         0.00004  -0.19458   0.00012   0.25655   0.00142
 36        3S          0.19995  -0.00038   0.06568  -0.00162   0.22451
 37        3PX        -0.00596  -0.00002   0.25717   0.00068  -0.07718
 38        3PY        -0.20266   0.00007  -0.08122  -0.00356   0.70508
 39        3PZ         0.00001  -0.19024  -0.00016  -0.36206  -0.00205
 40        4XX        -0.03136   0.00003   0.04149   0.00048  -0.07924
 41        4YY        -0.02154   0.00014   0.20064   0.00096  -0.17194
 42        4ZZ        -0.04417  -0.00001  -0.05970   0.00033  -0.05572
 43        4XY         0.01822   0.00000   0.18127  -0.00010  -0.01133
 44        4XZ         0.00001  -0.00752  -0.00006  -0.07956  -0.00048
 45        4YZ         0.00009   0.02130  -0.00005   0.02313   0.00005
 46 6   H  1S          0.12975   0.00007   0.82473   0.00041  -0.11306
 47        2S          0.11707  -0.00030  -0.81012  -0.00098   0.24625
 48        3PX        -0.04625   0.00004  -0.06194  -0.00027   0.06852
 49        3PY        -0.00811   0.00000  -0.14721  -0.00046   0.09888
 50        3PZ        -0.00002  -0.00166   0.00004   0.00133   0.00008
                         21        22        23        24        25
                          V         V         V         V         V
    Eigenvalues --     0.90348   0.94617   0.95971   1.01879   1.07945
  1 1   C  1S         -0.09346  -0.00719   0.00002  -0.06226  -0.02722
  2        2S          0.39581  -0.90290   0.00086  -1.56578  -0.54258
  3        2PX         0.27957  -0.26995   0.00022  -0.10628   0.02063
  4        2PY        -0.19470  -0.08323   0.00009  -0.02937   0.26605
  5        2PZ         0.00020  -0.00016  -0.08658   0.00011  -0.00048
  6        3S         -0.68667   2.41448  -0.00222   3.61877   1.64989
  7        3PX        -0.13950   0.27177  -0.00034   0.78389  -0.21965
  8        3PY         0.22888  -0.15362   0.00028   0.09142  -0.13232
  9        3PZ        -0.00043   0.00000  -0.30520  -0.00044   0.00173
 10        4XX         0.00421   0.01945   0.00003  -0.21186   0.08252
 11        4YY        -0.02224   0.08928  -0.00080  -0.06033  -0.23383
 12        4ZZ        -0.15535  -0.13870   0.00085   0.00201   0.11698
 13        4XY         0.02008   0.00139  -0.00007   0.04395   0.09749
 14        4XZ        -0.00012  -0.00010  -0.01827   0.00002   0.00011
 15        4YZ        -0.00038  -0.00086  -0.13805   0.00019   0.00096
 16 2   H  1S         -0.72504  -0.06962  -0.23037  -0.02975  -0.03483
 17        2S          0.73990  -0.47865   0.17011  -1.01483  -0.41198
 18        3PX        -0.01215   0.02247   0.04897  -0.00980  -0.03046
 19        3PY         0.03116  -0.05390   0.03902   0.00257   0.06038
 20        3PZ         0.09141   0.01116   0.00329  -0.03399  -0.06254
 21 3   H  1S         -0.72463  -0.06820   0.23116  -0.02991  -0.03529
 22        2S          0.73931  -0.48042  -0.16954  -1.01440  -0.41335
 23        3PX        -0.01225   0.02226  -0.04909  -0.00976  -0.03017
 24        3PY         0.03074  -0.05416  -0.03870   0.00274   0.06078
 25        3PZ        -0.09151  -0.01092   0.00369   0.03398   0.06232
 26 4   H  1S         -0.36725   0.37692  -0.00083  -0.10035  -0.35029
 27        2S          0.09999  -0.95562   0.00121  -1.09206   0.16450
 28        3PX        -0.01131   0.00015   0.00010   0.00250   0.09085
 29        3PY        -0.05504   0.05855  -0.00026   0.02825  -0.06929
 30        3PZ         0.00006  -0.00030  -0.07179  -0.00002   0.00032
 31 5   O  1S          0.00383   0.00484  -0.00001  -0.00879  -0.01875
 32        2S         -0.44532  -0.72044   0.00056   0.01684  -0.49979
 33        2PX        -0.24163   0.41522  -0.00015  -0.55588   0.33629
 34        2PY         0.12664  -0.24505   0.00038   0.02540   0.54218
 35        2PZ        -0.00021  -0.00080  -0.89330  -0.00016   0.00036
 36        3S          0.84339   1.12566  -0.00078  -0.28445   1.04736
 37        3PX         0.27739  -0.67856   0.00021   0.76800  -1.00151
 38        3PY        -0.11231   0.39630  -0.00073   0.03929  -1.21027
 39        3PZ         0.00026   0.00094   1.10743   0.00025  -0.00066
 40        4XX        -0.15270  -0.26504   0.00022  -0.11315  -0.16789
 41        4YY        -0.03377  -0.11130  -0.00002   0.00463  -0.14670
 42        4ZZ        -0.13779  -0.25685   0.00029   0.09344  -0.05785
 43        4XY         0.02537   0.04034  -0.00004  -0.05398  -0.03363
 44        4XZ         0.00003  -0.00005  -0.05554  -0.00001   0.00006
 45        4YZ        -0.00001  -0.00008  -0.02912   0.00002   0.00015
 46 6   H  1S          0.31391   0.44534  -0.00055  -0.11852  -0.38112
 47        2S         -0.54622  -0.77798   0.00053   0.43685  -0.99597
 48        3PX         0.00452   0.00671  -0.00005   0.09504  -0.04343
 49        3PY        -0.05127  -0.05236   0.00002   0.04396  -0.13156
 50        3PZ        -0.00002   0.00002   0.02057   0.00003  -0.00003
                         26        27        28        29        30
                          V         V         V         V         V
    Eigenvalues --     1.35705   1.39678   1.54381   1.60333   1.80698
  1 1   C  1S          0.00002  -0.05921   0.06026   0.00005  -0.00344
  2        2S          0.00043  -0.88723   0.66961   0.00042   0.05251
  3        2PX         0.00000  -0.03981   0.16042   0.00022  -0.06410
  4        2PY         0.00006  -0.03580  -0.00458   0.00018   0.00473
  5        2PZ         0.13015  -0.00002  -0.00017   0.03105   0.00004
  6        3S         -0.00126   3.18984  -3.05485  -0.00257   0.19839
  7        3PX         0.00014  -0.66501   0.77967   0.00066  -0.06336
  8        3PY        -0.00007   0.24874   0.05992  -0.00133   0.59658
  9        3PZ        -0.33648   0.00042   0.00132  -0.37852  -0.00083
 10        4XX         0.00008   0.04648  -0.18060  -0.00027  -0.00431
 11        4YY         0.00133   0.15976   0.22927   0.00062   0.25429
 12        4ZZ        -0.00138  -0.24235  -0.03243  -0.00034  -0.25449
 13        4XY         0.00065  -0.35970  -0.27578  -0.00079  -0.18007
 14        4XZ         0.55331   0.00042   0.00029   0.03733  -0.00030
 15        4YZ         0.26301  -0.00106  -0.00108   0.14617  -0.00103
 16 2   H  1S          0.03172  -0.27208   0.25721  -0.09425   0.09969
 17        2S         -0.19053  -0.35600   0.35130  -0.18035   0.10292
 18        3PX        -0.19278   0.05389   0.05375  -0.05997   0.20696
 19        3PY        -0.10187  -0.09044  -0.07625   0.00663  -0.00803
 20        3PZ        -0.02104   0.08173   0.06880  -0.01008   0.05042
 21 3   H  1S         -0.03159  -0.27220   0.25661   0.09445   0.09975
 22        2S          0.19141  -0.35694   0.34963   0.18026   0.10282
 23        3PX         0.19298   0.05369   0.05322   0.06008   0.20596
 24        3PY         0.10154  -0.09080  -0.07653  -0.00715  -0.00842
 25        3PZ        -0.02175  -0.08136  -0.06844  -0.01051  -0.05016
 26 4   H  1S          0.00010  -0.24860   0.24169   0.00049  -0.23397
 27        2S         -0.00022  -0.47419   0.33597   0.00077  -0.19644
 28        3PX        -0.00019  -0.11817  -0.11659  -0.00017  -0.36113
 29        3PY         0.00048   0.06837   0.06779   0.00015   0.13009
 30        3PZ         0.18696  -0.00014  -0.00010  -0.01286  -0.00027
 31 5   O  1S         -0.00001   0.04855  -0.08531  -0.00009  -0.00055
 32        2S         -0.00034   0.74558  -1.17463  -0.00126   0.05159
 33        2PX         0.00001   0.23019  -0.20966  -0.00020   0.04989
 34        2PY        -0.00002   0.12743   0.12604   0.00001   0.18686
 35        2PZ        -0.11246  -0.00001   0.00014  -0.05900  -0.00014
 36        3S          0.00096  -2.26594   3.46885   0.00361  -0.09701
 37        3PX         0.00012  -1.08957   1.03594   0.00109  -0.43960
 38        3PY         0.00016  -0.40951  -0.67104  -0.00050  -0.52033
 39        3PZ         0.28389  -0.00004  -0.00054   0.32242   0.00045
 40        4XX        -0.00018   0.39811  -0.45795  -0.00038  -0.02823
 41        4YY         0.00037   0.02234  -0.58275  -0.00089   0.30627
 42        4ZZ        -0.00044   0.23237   0.08789   0.00027  -0.24197
 43        4XY        -0.00034   0.30901   0.17278   0.00071  -0.46318
 44        4XZ        -0.39610  -0.00043  -0.00046   0.10855   0.00041
 45        4YZ         0.03304  -0.00038  -0.00099   0.73299   0.00018
 46 6   H  1S          0.00007  -0.18613  -0.39320  -0.00049  -0.22610
 47        2S         -0.00018  -0.16737  -0.18108  -0.00026  -0.09781
 48        3PX         0.00018  -0.16023  -0.03212  -0.00020   0.34247
 49        3PY        -0.00009   0.04735   0.01430   0.00012  -0.18432
 50        3PZ         0.11330   0.00026   0.00054  -0.42721  -0.00038
                         31        32        33        34        35
                          V         V         V         V         V
    Eigenvalues --     1.97024   1.98224   2.04134   2.07383   2.08412
  1 1   C  1S          0.00005   0.01342   0.00000   0.00773  -0.00003
  2        2S         -0.00009  -0.16804   0.00001   0.01575  -0.00023
  3        2PX         0.00043   0.21039  -0.00001   0.03090  -0.00010
  4        2PY        -0.00008  -0.02541   0.00001  -0.09421  -0.00008
  5        2PZ        -0.04402   0.00007   0.00019   0.00009  -0.11334
  6        3S         -0.00138  -0.12328  -0.00002  -0.30317   0.00130
  7        3PX        -0.00018  -0.55945   0.00001   0.24091  -0.00052
  8        3PY         0.00043   0.08927  -0.00016   0.70207   0.00043
  9        3PZ        -0.32557   0.00022  -0.00444  -0.00050   0.68534
 10        4XX         0.00079   0.73088  -0.00003  -0.01090   0.00036
 11        4YY         0.00109  -0.29726  -0.00005   0.47514  -0.00256
 12        4ZZ        -0.00178  -0.36440   0.00007  -0.45418   0.00220
 13        4XY         0.00030  -0.09383  -0.00006   0.39739   0.00005
 14        4XZ         0.05287  -0.00017  -0.00004  -0.00053   0.27676
 15        4YZ         0.22274  -0.00029   0.00393  -0.00296  -0.57561
 16 2   H  1S         -0.21094   0.24686  -0.00255   0.30783   0.49449
 17        2S         -0.00047   0.00306  -0.00012   0.01998   0.00630
 18        3PX        -0.42022   0.20606   0.04965  -0.10503  -0.14450
 19        3PY         0.00177  -0.05523   0.50136  -0.30089  -0.02587
 20        3PZ        -0.06346  -0.04100  -0.29164  -0.03532  -0.37465
 21 3   H  1S          0.21243   0.24653   0.00243   0.30641  -0.49516
 22        2S          0.00079   0.00308   0.00011   0.02011  -0.00673
 23        3PX         0.42120   0.20502  -0.04974  -0.10540   0.14507
 24        3PY        -0.00238  -0.05512  -0.50234  -0.30086   0.02514
 25        3PZ        -0.06353   0.04132  -0.28968   0.03566  -0.37489
 26 4   H  1S         -0.00046   0.19769   0.00011  -0.59943   0.00058
 27        2S          0.00005  -0.00089   0.00001   0.01907   0.00001
 28        3PX        -0.00038   0.24435   0.00009   0.03435  -0.00046
 29        3PY         0.00000  -0.00854   0.00119  -0.37873  -0.00002
 30        3PZ        -0.00303   0.00000   0.58314   0.00049  -0.29950
 31 5   O  1S         -0.00001   0.03618   0.00000  -0.01719   0.00007
 32        2S         -0.00112  -0.35748   0.00004  -0.08822   0.00066
 33        2PX        -0.00051  -0.39279  -0.00001  -0.00955  -0.00008
 34        2PY         0.00011   0.03421  -0.00004   0.05036  -0.00006
 35        2PZ        -0.14662   0.00017  -0.00106   0.00002   0.05656
 36        3S          0.00209   0.05227  -0.00005   0.40070  -0.00216
 37        3PX         0.00081   0.23511   0.00003   0.17730  -0.00028
 38        3PY        -0.00067  -0.07369   0.00008  -0.29148   0.00056
 39        3PZ         0.27440  -0.00030   0.00197   0.00024  -0.13854
 40        4XX         0.00022   0.30976  -0.00001  -0.07347   0.00017
 41        4YY        -0.00014  -0.07689   0.00003   0.04873  -0.00016
 42        4ZZ        -0.00056  -0.24355  -0.00001  -0.07213   0.00053
 43        4XY         0.00054   0.00057   0.00002  -0.00456  -0.00069
 44        4XZ         0.72909  -0.00090   0.00469  -0.00051   0.02432
 45        4YZ        -0.22439   0.00027   0.00015   0.00027  -0.00179
 46 6   H  1S         -0.00066  -0.02770  -0.00002  -0.16893   0.00097
 47        2S         -0.00020  -0.06594   0.00007   0.08483   0.00001
 48        3PX        -0.00032  -0.02305  -0.00001  -0.14560  -0.00006
 49        3PY         0.00019  -0.01071  -0.00002   0.05584  -0.00017
 50        3PZ         0.04900  -0.00006   0.00174  -0.00063  -0.12181
                         36        37        38        39        40
                          V         V         V         V         V
    Eigenvalues --     2.33795   2.40451   2.53743   2.58752   2.69593
  1 1   C  1S          0.02043   0.03020   0.00005   0.04416   0.00007
  2        2S          0.16493  -0.08205  -0.00030  -0.15239  -0.00021
  3        2PX         0.07420   0.27178   0.00069   0.55622   0.00024
  4        2PY         0.00087  -0.00331  -0.00003   0.01529   0.00051
  5        2PZ        -0.00015  -0.00009   0.12116  -0.00022  -0.15842
  6        3S         -0.84265  -0.95342  -0.00120  -1.21581  -0.00210
  7        3PX         0.35472   0.41660   0.00095   1.04937  -0.00016
  8        3PY         0.30768  -0.59157   0.00012   0.14412   0.00210
  9        3PZ         0.00139   0.00018   0.80903  -0.00110  -0.24812
 10        4XX        -0.21312  -0.05028   0.00005  -0.05323  -0.00098
 11        4YY         0.18832   0.10765   0.00061  -0.02698  -0.00133
 12        4ZZ        -0.00359   0.00681  -0.00054   0.10670   0.00260
 13        4XY        -0.21012   0.40843   0.00028  -0.16386   0.00036
 14        4XZ        -0.00029  -0.00002  -0.44673   0.00069   0.22979
 15        4YZ        -0.00042  -0.00052   0.25660   0.00015  -0.09404
 16 2   H  1S          0.04150   0.06358  -0.01446   0.03966   0.01501
 17        2S          0.19552  -0.13005   0.44641   0.09803  -0.23086
 18        3PX        -0.15338   0.16519  -0.29859  -0.58296   0.22931
 19        3PY         0.04809   0.27026   0.26179  -0.16111  -0.13865
 20        3PZ        -0.00803  -0.12089  -0.14242  -0.05913  -0.03556
 21 3   H  1S          0.04091   0.06344   0.01449   0.03963  -0.01496
 22        2S          0.19420  -0.12896  -0.44729   0.09876   0.23344
 23        3PX        -0.15235   0.16354   0.29866  -0.58345  -0.22773
 24        3PY         0.04746   0.27123  -0.26220  -0.16052   0.13460
 25        3PZ         0.00654   0.12031  -0.14092   0.06017  -0.03986
 26 4   H  1S          0.04380  -0.00670   0.00000   0.06832   0.00004
 27        2S         -0.14252   0.43561   0.00101  -0.19217  -0.00127
 28        3PX         0.28573  -0.54497  -0.00172  -0.32324   0.00093
 29        3PY        -0.05081   0.22215  -0.00068   0.24217   0.00043
 30        3PZ        -0.00113   0.00017  -0.54115  -0.00004   0.15495
 31 5   O  1S         -0.04877  -0.03321  -0.00003  -0.05573  -0.00003
 32        2S         -0.54157  -0.51549  -0.00053  -0.57269  -0.00075
 33        2PX         0.06879  -0.03568  -0.00023  -0.16068   0.00019
 34        2PY         0.20159   0.06649  -0.00019  -0.07865   0.00065
 35        2PZ         0.00018   0.00003   0.06009  -0.00008  -0.01302
 36        3S          1.50969   1.41003   0.00191   2.07355   0.00124
 37        3PX         0.06550   0.77331   0.00132   1.04547   0.00133
 38        3PY        -0.66485  -0.08463  -0.00014  -0.19157  -0.00147
 39        3PZ        -0.00066   0.00015  -0.48650   0.00048  -0.15596
 40        4XX        -0.03459   0.01632   0.00042   0.42938  -0.00059
 41        4YY         0.36912   0.10433  -0.00056  -0.26895   0.00167
 42        4ZZ        -0.77548  -0.40610   0.00018  -0.49420  -0.00132
 43        4XY         0.44999   0.09984  -0.00078  -0.28359  -0.00139
 44        4XZ        -0.00069  -0.00026  -0.38213   0.00069   0.51079
 45        4YZ         0.00008  -0.00019   0.36210  -0.00025   0.64647
 46 6   H  1S         -0.87448  -0.24151   0.00044  -0.06418  -0.00075
 47        2S          0.08251   0.07762  -0.00036   0.03543   0.00054
 48        3PX         0.34356  -0.47543  -0.00092  -0.14590  -0.00177
 49        3PY         0.21110   0.39579  -0.00021  -0.12788   0.00183
 50        3PZ         0.00017  -0.00072   0.50972  -0.00013   0.90928
                         41        42        43        44        45
                          V         V         V         V         V
    Eigenvalues --     2.74127   2.80259   2.90207   2.98878   3.24337
  1 1   C  1S         -0.03193   0.06259  -0.00003   0.00754  -0.10655
  2        2S          0.21929  -0.38260   0.00005   0.01464   0.88596
  3        2PX        -0.18218   0.43125  -0.00024   0.05617   0.54569
  4        2PY        -0.22400  -0.14489   0.00022  -0.22466  -0.06626
  5        2PZ        -0.00048  -0.00008   0.03199   0.00030  -0.00011
  6        3S          0.64177  -1.21231   0.00085  -0.30211   0.87059
  7        3PX        -0.02912   0.24271  -0.00036   0.18690   0.29775
  8        3PY        -0.50255  -0.29476   0.00000   0.02026  -0.01662
  9        3PZ        -0.00071  -0.00009   0.19929  -0.00008  -0.00014
 10        4XX         0.38109  -0.76022   0.00038  -0.05794  -0.73379
 11        4YY         0.05324   0.58363   0.00318  -0.57468   0.23215
 12        4ZZ        -0.54925   0.21881  -0.00344   0.48245   0.30183
 13        4XY        -0.02779   0.06756   0.00022   0.54295   0.16165
 14        4XZ         0.00049   0.00015   0.73202   0.00077  -0.00008
 15        4YZ        -0.00224  -0.00117   0.56119   0.00331   0.00025
 16 2   H  1S         -0.01783   0.00692  -0.01536  -0.01244  -0.39877
 17        2S         -0.31051   0.10342   0.14195   0.02560  -0.35528
 18        3PX        -0.18724   0.18012   0.39585   0.13187   0.25943
 19        3PY         0.30908   0.28409   0.32600  -0.32834  -0.40514
 20        3PZ        -0.44741  -0.01396  -0.03030   0.20916  -0.60604
 21 3   H  1S         -0.01789   0.00694   0.01535  -0.01238  -0.39861
 22        2S         -0.30772   0.10431  -0.14237   0.02561  -0.35508
 23        3PX        -0.18850   0.17996  -0.39664   0.13012   0.25955
 24        3PY         0.31287   0.28486  -0.32416  -0.33021  -0.40267
 25        3PZ         0.44592   0.01270  -0.02741  -0.20812   0.60730
 26 4   H  1S          0.01438   0.04547  -0.00013   0.13182  -0.39633
 27        2S          0.25155   0.36869   0.00019   0.01305  -0.36848
 28        3PX        -0.27797   0.19640   0.00082  -0.48088   0.33579
 29        3PY        -0.04064  -0.32458  -0.00153  -0.03879   0.69009
 30        3PZ         0.00159   0.00114  -0.65996  -0.00094  -0.00140
 31 5   O  1S          0.01425  -0.05493   0.00000  -0.01845  -0.01815
 32        2S          0.21301  -0.29692   0.00051  -0.10229   0.03061
 33        2PX        -0.01018  -0.04940  -0.00016   0.05570   0.08115
 34        2PY        -0.05597  -0.18510  -0.00040   0.12556  -0.07118
 35        2PZ        -0.00003   0.00000   0.02278  -0.00001   0.00000
 36        3S         -0.56426   1.41400  -0.00061   0.25348   0.23453
 37        3PX        -0.49669   0.83613  -0.00063   0.16304   0.11582
 38        3PY         0.34171   0.04319  -0.00020   0.29959  -0.03229
 39        3PZ        -0.00085  -0.00024   0.06989   0.00029   0.00005
 40        4XX        -0.07647   0.86605  -0.00056   0.39898   0.20697
 41        4YY        -0.24020  -0.56614   0.00025  -0.54951  -0.03659
 42        4ZZ         0.32310  -0.42386   0.00054  -0.10969  -0.12108
 43        4XY         0.43939   0.00303   0.00003   0.40800   0.05310
 44        4XZ         0.00189   0.00050   0.25145  -0.00007  -0.00004
 45        4YZ         0.00318   0.00090  -0.16758  -0.00080  -0.00008
 46 6   H  1S          0.10425   0.02737  -0.00029   0.19296  -0.10589
 47        2S         -0.02386  -0.10796  -0.00041   0.18963   0.01763
 48        3PX         0.48310   0.06250  -0.00067   0.65061  -0.01485
 49        3PY        -0.25146  -0.38731  -0.00070   0.03725  -0.12713
 50        3PZ         0.00396   0.00104  -0.08994  -0.00072  -0.00011
                         46        47        48        49        50
                          V         V         V         V         V
    Eigenvalues --     3.38616   3.46069   3.54425   3.83667   4.41356
  1 1   C  1S         -0.00234   0.00004   0.00283  -0.07081  -0.47336
  2        2S          0.08794  -0.00045   0.04708   0.55420   2.74169
  3        2PX        -0.09550  -0.00033  -0.18091   0.09045  -0.07741
  4        2PY         0.61864  -0.00424  -0.71486   0.07330  -0.00036
  5        2PZ        -0.00349  -0.98771   0.00276  -0.00044   0.00003
  6        3S         -0.23831   0.00052  -0.36216  -1.20662   2.14827
  7        3PX         0.03721  -0.00052  -0.01261   0.65494   0.00697
  8        3PY         0.38211  -0.00257  -0.42611  -0.17188   0.00086
  9        3PZ        -0.00186  -0.59013   0.00195  -0.00002   0.00003
 10        4XX         0.28579  -0.00058   0.06836  -0.26346  -1.95874
 11        4YY         0.21579   0.00218  -0.66994  -0.21758  -2.07548
 12        4ZZ        -0.52075  -0.00118   0.65854  -0.42882  -2.04930
 13        4XY         0.58238  -0.00313  -0.64820  -0.06115  -0.02843
 14        4XZ        -0.00261  -0.60129   0.00205  -0.00027   0.00002
 15        4YZ         0.00046   1.06565   0.00150   0.00005   0.00004
 16 2   H  1S          0.30701  -0.74799  -0.29258   0.16958   0.28083
 17        2S          0.23323  -0.47025  -0.13685  -0.00011  -0.41707
 18        3PX        -0.07355   0.27932   0.13632  -0.05431  -0.08362
 19        3PY         0.14536  -0.51142  -0.24190   0.07818   0.15866
 20        3PZ         0.38813  -0.83435  -0.31552   0.01865   0.26214
 21 3   H  1S          0.31030   0.74577  -0.29463   0.17026   0.28081
 22        2S          0.23514   0.46885  -0.13857  -0.00005  -0.41710
 23        3PX        -0.07509  -0.27896   0.13727  -0.05432  -0.08372
 24        3PY         0.14632   0.50692  -0.24194   0.07840   0.15765
 25        3PZ        -0.39245  -0.83377   0.31867  -0.01951  -0.26270
 26 4   H  1S         -0.45283   0.00201   0.72895   0.11928   0.29839
 27        2S         -0.28875   0.00131   0.48229   0.04988  -0.40962
 28        3PX         0.17112  -0.00102  -0.43456   0.05224  -0.14326
 29        3PY         0.64996  -0.00266  -0.83456   0.00140  -0.30823
 30        3PZ        -0.00123  -0.00653   0.00177  -0.00005   0.00063
 31 5   O  1S         -0.17090   0.00033  -0.17093  -0.44315   0.07445
 32        2S          0.18783  -0.00021   0.05781  -0.12938  -0.04582
 33        2PX        -0.20798   0.00022  -0.17221   0.01252   0.05253
 34        2PY        -0.34429   0.00028  -0.24516   0.41093  -0.07531
 35        2PZ        -0.00001  -0.00468   0.00002   0.00001   0.00000
 36        3S          1.74143  -0.00314   1.90528   3.90118  -0.76451
 37        3PX        -0.39671   0.00032  -0.23229   1.04705   0.01231
 38        3PY        -0.65677   0.00084  -0.65776   0.21547  -0.08611
 39        3PZ         0.00010   0.07494  -0.00018  -0.00002   0.00000
 40        4XX        -0.63658   0.00083  -0.72700  -1.27414   0.54651
 41        4YY         0.09181   0.00058   0.17934  -2.09873   0.31651
 42        4ZZ        -0.71254   0.00137  -0.79311  -1.40927   0.16106
 43        4XY         0.65668  -0.00113   0.35643  -0.50108   0.00005
 44        4XZ        -0.00028  -0.07965   0.00003  -0.00003  -0.00001
 45        4YZ         0.00002  -0.09747  -0.00019   0.00001  -0.00001
 46 6   H  1S         -0.94092   0.00098  -0.85663   0.92349  -0.14689
 47        2S         -0.56522   0.00060  -0.56765  -0.11894  -0.02809
 48        3PX        -0.28837  -0.00021  -0.44874   0.25021  -0.12401
 49        3PY        -0.92314   0.00107  -0.61970   0.82897  -0.12063
 50        3PZ         0.00002  -0.08244  -0.00015   0.00001  -0.00003