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

using model chemistry: PBEPBE/6-311G*

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 1A1
Energy calculated at PBEPBE/6-311G*
 hartrees
Energy at 0K-264.799522
Energy at 298.15K-264.803215
HF Energy-264.799522
Nuclear repulsion energy122.381662
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 PBEPBE/6-311G*
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 3671 3633 4.56      
2 A1 1804 1785 458.11      
3 A1 1280 1267 23.48      
4 A1 949 940 14.09      
5 A1 531 525 5.70      
6 A2 528 523 0.00      
7 B1 770 762 64.63      
8 B1 618 612 224.09      
9 B2 3668 3630 98.12      
10 B2 1431 1416 85.30      
11 B2 1130 1118 486.75      
12 B2 584 578 48.47      

Unscaled Zero Point Vibrational Energy (zpe) 8481.2 cm-1
Scaled (by 0.9896) Zero Point Vibrational Energy (zpe) 8393.0 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 PBEPBE/6-311G*
ABC
0.39166 0.37297 0.19104

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBE/6-311G*

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 0.104
O2 0.000 0.000 1.318
O3 0.000 1.094 -0.688
O4 0.000 -1.094 -0.688
H5 0.000 1.856 -0.079
H6 0.000 -1.856 -0.079

Atom - Atom Distances (Å)
  C1 O2 O3 O4 H5 H6
C11.21411.34981.34981.86481.8648
O21.21412.28422.28422.32292.3229
O31.34982.28422.18720.97523.0115
O41.34982.28422.18723.01150.9752
H51.86482.32290.97523.01153.7116
H61.86482.32293.01150.97523.7116

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 105.520 C1 O4 H6 105.520
O2 C1 O3 125.889 O2 C1 O4 125.889
O3 C1 O4 108.222
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/6-311G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.423      
2 O -0.334      
3 O -0.444      
4 O -0.444      
5 H 0.399      
6 H 0.399      


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 0.066 0.066
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -22.077 0.000 0.000
y 0.000 -13.868 0.000
z 0.000 0.000 -28.669
Traceless
 xyz
x -0.809 0.000 0.000
y 0.000 11.505 0.000
z 0.000 0.000 -10.696
Polar
3z2-r2-21.392
x2-y2-8.210
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 1.703 0.000 0.000
y 0.000 3.972 0.000
z 0.000 0.000 3.462


<r2> (average value of r2) Å2
<r2> 61.009
(<r2>)1/2 7.811