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

using model chemistry: mPW1PW91/6-31G

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 1A1
Energy calculated at mPW1PW91/6-31G
 hartrees
Energy at 0K-264.822269
Energy at 298.15K-264.825964
HF Energy-264.822269
Nuclear repulsion energy121.509576
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 mPW1PW91/6-31G
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 3729 3530 1.96      
2 A1 1777 1682 430.03      
3 A1 1274 1206 45.74      
4 A1 975 923 12.13      
5 A1 539 510 9.18      
6 A2 526 498 0.00      
7 B1 759 718 83.05      
8 B1 611 578 342.54      
9 B2 3726 3527 160.84      
10 B2 1516 1435 137.01      
11 B2 1115 1055 461.62      
12 B2 590 558 60.85      

Unscaled Zero Point Vibrational Energy (zpe) 8567.5 cm-1
Scaled (by 0.9466) Zero Point Vibrational Energy (zpe) 8110.0 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 mPW1PW91/6-31G
ABC
0.38727 0.36605 0.18818

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/6-31G

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 0.100
O2 0.000 0.000 1.331
O3 0.000 1.100 -0.686
O4 0.000 -1.100 -0.686
H5 0.000 1.905 -0.136
H6 0.000 -1.905 -0.136

Atom - Atom Distances (Å)
  C1 O2 O3 O4 H5 H6
C11.23021.35261.35261.91941.9194
O21.23022.29732.29732.40402.4040
O31.35262.29732.20090.97443.0551
O41.35262.29732.20093.05510.9744
H51.91942.40400.97443.05513.8096
H61.91942.40403.05510.97443.8096

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 110.089 C1 O4 H6 110.089
O2 C1 O3 125.550 O2 C1 O4 125.550
O3 C1 O4 108.899
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/6-31G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.656      
2 O -0.420      
3 O -0.538      
4 O -0.538      
5 H 0.420      
6 H 0.420      


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 0.220 0.220
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -22.031 0.000 0.000
y 0.000 -12.797 0.000
z 0.000 0.000 -30.310
Traceless
 xyz
x -0.478 0.000 0.000
y 0.000 13.373 0.000
z 0.000 0.000 -12.895
Polar
3z2-r2-25.791
x2-y2-9.234
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 1.205 0.000 0.000
y 0.000 3.558 0.000
z 0.000 0.000 3.271


<r2> (average value of r2) Å2
<r2> 61.984
(<r2>)1/2 7.873