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

using model chemistry: M06-2X/6-31+G**

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 1A1
Energy calculated at M06-2X/6-31+G**
 hartrees
Energy at 0K-264.918410
Energy at 298.15K-264.922126
HF Energy-264.918410
Nuclear repulsion energy123.524338
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 M06-2X/6-31+G**
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 3875 3690 20.76      
2 A1 1891 1800 629.64      
3 A1 1293 1231 42.45      
4 A1 1023 974 14.80      
5 A1 557 530 7.45      
6 A2 498 474 0.00      
7 B1 811 773 63.18      
8 B1 569 542 256.92      
9 B2 3872 3687 239.18      
10 B2 1505 1433 232.33      
11 B2 1186 1129 398.92      
12 B2 614 585 56.90      

Unscaled Zero Point Vibrational Energy (zpe) 8846.4 cm-1
Scaled (by 0.9522) Zero Point Vibrational Energy (zpe) 8423.5 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 M06-2X/6-31+G**
ABC
0.40204 0.37737 0.19466

See section I.F.4 to change rotational constant units
Geometric Data calculated at M06-2X/6-31+G**

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 0.097
O2 0.000 0.000 1.303
O3 0.000 1.086 -0.677
O4 0.000 -1.086 -0.677
H5 0.000 1.854 -0.088
H6 0.000 -1.854 -0.088

Atom - Atom Distances (Å)
  C1 O2 O3 O4 H5 H6
C11.20611.33351.33351.86291.8629
O21.20612.25812.25812.31762.3176
O31.33352.25812.17250.96722.9983
O41.33352.25812.17252.99830.9672
H51.86292.31760.96722.99833.7074
H61.86292.31762.99830.96723.7074

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 107.061 C1 O4 H6 107.061
O2 C1 O3 125.454 O2 C1 O4 125.454
O3 C1 O4 109.091
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at M06-2X/6-31+G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.659      
2 O -0.485      
3 O -0.481      
4 O -0.481      
5 H 0.394      
6 H 0.394      


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 -0.108 0.108
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -22.482 0.000 0.000
y 0.000 -14.004 0.000
z 0.000 0.000 -29.461
Traceless
 xyz
x -0.749 0.000 0.000
y 0.000 11.968 0.000
z 0.000 0.000 -11.218
Polar
3z2-r2-22.436
x2-y2-8.478
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 2.257 0.000 0.000
y 0.000 3.871 0.000
z 0.000 0.000 3.991


<r2> (average value of r2) Å2
<r2> 60.461
(<r2>)1/2 7.776