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All results from a given calculation for H2CO3 (Carbonic acid)

using model chemistry: B3PW91/6-31G(2df,p)

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 1A1
Energy calculated at B3PW91/6-31G(2df,p)
 hartrees
Energy at 0K-264.925992
Energy at 298.15K-264.929745
HF Energy-264.925992
Nuclear repulsion energy123.595388
The energy at 298.15K was derived from the energy at 0K and an integrated heat capacity that used the calculated vibrational frequencies.
Vibrational Frequencies calculated at B3PW91/6-31G(2df,p)
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
4/u)
Dep P Dep U
1 A1 3840 3691 15.56      
2 A1 1878 1806 449.61      
3 A1 1298 1248 36.24      
4 A1 997 959 10.60      
5 A1 547 526 7.07      
6 A2 539 518 0.00      
7 B1 811 780 55.76      
8 B1 612 588 197.23      
9 B2 3836 3688 162.08      
10 B2 1492 1435 133.42      
11 B2 1166 1121 405.19      
12 B2 600 577 51.99      

Unscaled Zero Point Vibrational Energy (zpe) 8807.7 cm-1
Scaled (by 0.9614) Zero Point Vibrational Energy (zpe) 8467.8 cm-1
See section III.C.1 List or set vibrational scaling factors to change the scale factors used here.
See section III.C.2 Calculate a vibrational scaling factor for a given set of molecules to determine the least squares best scaling factor.
Rotational Constants (cm-1) from geometry optimized at B3PW91/6-31G(2df,p)
ABC
0.40033 0.37949 0.19482

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3PW91/6-31G(2df,p)

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 0.101
O2 0.000 0.000 1.304
O3 0.000 1.084 -0.680
O4 0.000 -1.084 -0.680
H5 0.000 1.838 -0.078
H6 0.000 -1.838 -0.078

Atom - Atom Distances (Å)
  C1 O2 O3 O4 H5 H6
C11.20281.33621.33621.84701.8470
O21.20282.26072.26072.29982.2998
O31.33622.26072.16860.96462.9838
O41.33622.26072.16862.98380.9646
H51.84702.29980.96462.98383.6765
H61.84702.29982.98380.96463.6765

picture of Carbonic acid state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 O3 H5 105.653 C1 O4 H6 105.653
O2 C1 O3 125.758 O2 C1 O4 125.758
O3 C1 O4 108.484
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3PW91/6-31G(2df,p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.527      
2 O -0.419      
3 O -0.388      
4 O -0.388      
5 H 0.334      
6 H 0.334      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.000 0.000 -0.221 0.221
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -21.486 0.000 0.000
y 0.000 -13.790 0.000
z 0.000 0.000 -27.578
Traceless
 xyz
x -0.802 0.000 0.000
y 0.000 10.743 0.000
z 0.000 0.000 -9.940
Polar
3z2-r2-19.881
x2-y2-7.697
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 2.014 0.000 0.000
y 0.000 3.846 0.000
z 0.000 0.000 3.427


<r2> (average value of r2) Å2
<r2> 59.723
(<r2>)1/2 7.728