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

using model chemistry: PBEPBE/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 PBEPBE/6-31+G**
 hartrees
Energy at 0K-264.752208
Energy at 298.15K-264.755855
HF Energy-264.752208
Nuclear repulsion energy121.941504
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/6-31+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 3701 3659 10.35      
2 A1 1778 1758 522.61      
3 A1 1246 1232 26.06      
4 A1 952 941 16.41      
5 A1 524 518 6.25      
6 A2 513 507 0.00      
7 B1 755 746 45.63      
8 B1 595 588 223.75      
9 B2 3698 3656 164.91      
10 B2 1417 1401 138.82      
11 B2 1116 1104 434.11      
12 B2 573 567 45.63      

Unscaled Zero Point Vibrational Energy (zpe) 8433.7 cm-1
Scaled (by 0.9886) Zero Point Vibrational Energy (zpe) 8337.6 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/6-31+G**
ABC
0.38824 0.37093 0.18969

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

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 0.101
O2 0.000 0.000 1.324
O3 0.000 1.097 -0.690
O4 0.000 -1.097 -0.690
H5 0.000 1.861 -0.080
H6 0.000 -1.861 -0.080

Atom - Atom Distances (Å)
  C1 O2 O3 O4 H5 H6
C11.22291.35231.35231.87021.8702
O21.22292.29352.29352.33192.3319
O31.35232.29352.19310.97813.0200
O41.35232.29352.19313.02000.9781
H51.87022.33190.97813.02003.7226
H61.87022.33193.02000.97813.7226

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 105.617 C1 O4 H6 105.617
O2 C1 O3 125.820 O2 C1 O4 125.820
O3 C1 O4 108.360
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/6-31+G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.549      
2 O -0.449      
3 O -0.423      
4 O -0.423      
5 H 0.373      
6 H 0.373      


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 -0.135 0.135
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -22.754 0.000 0.000
y 0.000 -14.396 0.000
z 0.000 0.000 -29.461
Traceless
 xyz
x -0.825 0.000 0.000
y 0.000 11.712 0.000
z 0.000 0.000 -10.887
Polar
3z2-r2-21.773
x2-y2-8.358
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 2.487 0.000 0.000
y 0.000 4.438 0.000
z 0.000 0.000 4.407


<r2> (average value of r2) Å2
<r2> 61.759
(<r2>)1/2 7.859