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

using model chemistry: PBEPBE/aug-cc-pVDZ

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-pVDZ
 hartrees
Energy at 0K-264.783890
Energy at 298.15K-264.787554
HF Energy-264.783890
Nuclear repulsion energy121.913973
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-pVDZ
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 3678 3656 9.15      
2 A1 1767 1756 486.41      
3 A1 1253 1246 22.97      
4 A1 941 935 14.76      
5 A1 521 517 6.32      
6 A2 520 516 0.00      
7 B1 758 753 38.89      
8 B1 595 592 189.88      
9 B2 3675 3653 153.58      
10 B2 1408 1400 100.75      
11 B2 1118 1111 432.38      
12 B2 571 568 41.25      

Unscaled Zero Point Vibrational Energy (zpe) 8402.5 cm-1
Scaled (by 0.9939) Zero Point Vibrational Energy (zpe) 8351.2 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-pVDZ
ABC
0.38793 0.37077 0.18958

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

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 0.103
O2 0.000 0.000 1.324
O3 0.000 1.097 -0.691
O4 0.000 -1.097 -0.691
H5 0.000 1.859 -0.078
H6 0.000 -1.859 -0.078

Atom - Atom Distances (Å)
  C1 O2 O3 O4 H5 H6
C11.22111.35421.35421.86771.8677
O21.22112.29442.29442.32842.3284
O31.35422.29442.19410.97783.0189
O41.35422.29442.19413.01890.9778
H51.86772.32840.97783.01893.7178
H61.86772.32843.01890.97783.7178

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 105.288 C1 O4 H6 105.288
O2 C1 O3 125.893 O2 C1 O4 125.893
O3 C1 O4 108.214
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/aug-cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.867      
2 O -0.422      
3 O -0.327      
4 O -0.327      
5 H 0.105      
6 H 0.105      


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 -0.296 0.296
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -22.681 0.000 0.000
y 0.000 -14.756 0.000
z 0.000 0.000 -29.019
Traceless
 xyz
x -0.793 0.000 0.000
y 0.000 11.094 0.000
z 0.000 0.000 -10.301
Polar
3z2-r2-20.601
x2-y2-7.925
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 2.912 0.000 0.000
y 0.000 4.923 0.000
z 0.000 0.000 4.647


<r2> (average value of r2) Å2
<r2> 61.745
(<r2>)1/2 7.858