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

using model chemistry: PBEPBE/aug-cc-pVTZ

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/aug-cc-pVTZ
 hartrees
Energy at 0K-264.848623
Energy at 298.15K-264.852283
HF Energy-264.848623
Nuclear repulsion energy122.329388
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/aug-cc-pVTZ
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 3681 3657 9.91      
2 A1 1767 1755 492.67      
3 A1 1249 1241 25.57      
4 A1 943 936 16.28      
5 A1 525 522 6.47      
6 A2 511 507 0.00      
7 B1 764 759 39.87      
8 B1 588 584 189.69      
9 B2 3678 3654 156.98      
10 B2 1408 1399 103.73      
11 B2 1106 1099 436.54      
12 B2 577 573 41.38      

Unscaled Zero Point Vibrational Energy (zpe) 8398.2 cm-1
Scaled (by 0.9935) Zero Point Vibrational Energy (zpe) 8343.6 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/aug-cc-pVTZ
ABC
0.39140 0.37251 0.19086

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBE/aug-cc-pVTZ

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 1.857 -0.080
H6 0.000 -1.857 -0.080

Atom - Atom Distances (Å)
  C1 O2 O3 O4 H5 H6
C11.21421.35071.35071.86561.8656
O21.21422.28512.28512.32392.3239
O31.35072.28512.18860.97513.0128
O41.35072.28512.18863.01280.9751
H51.86562.32390.97513.01283.7130
H61.86562.32393.01280.97513.7130

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 105.524 C1 O4 H6 105.524
O2 C1 O3 125.890 O2 C1 O4 125.890
O3 C1 O4 108.220
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/aug-cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.460      
2 O -0.451      
3 O -0.201      
4 O -0.201      
5 H 0.196      
6 H 0.196      


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 -0.291 0.291
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -22.589 0.000 0.000
y 0.000 -14.708 0.000
z 0.000 0.000 -28.905
Traceless
 xyz
x -0.783 0.000 0.000
y 0.000 11.039 0.000
z 0.000 0.000 -10.256
Polar
3z2-r2-20.512
x2-y2-7.881
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 2.968 0.000 0.000
y 0.000 4.960 0.000
z 0.000 0.000 4.651


<r2> (average value of r2) Å2
<r2> 61.384
(<r2>)1/2 7.835