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

using model chemistry: HSEh1PBE/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 HSEh1PBE/6-31G**
 hartrees
Energy at 0K-264.753736
Energy at 298.15K-264.757496
HF Energy-264.753736
Nuclear repulsion energy123.565476
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 HSEh1PBE/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 3871 3694 19.91      
2 A1 1902 1816 488.67      
3 A1 1308 1248 40.37      
4 A1 1014 968 10.61      
5 A1 550 525 6.95      
6 A2 541 516 0.00      
7 B1 804 767 72.77      
8 B1 616 588 223.89      
9 B2 3868 3691 168.30      
10 B2 1520 1451 170.71      
11 B2 1186 1132 421.00      
12 B2 606 578 57.57      

Unscaled Zero Point Vibrational Energy (zpe) 8892.6 cm-1
Scaled (by 0.9543) Zero Point Vibrational Energy (zpe) 8486.2 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 HSEh1PBE/6-31G**
ABC
0.40069 0.37898 0.19477

See section I.F.4 to change rotational constant units
Geometric Data calculated at HSEh1PBE/6-31G**

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 1.304
O3 0.000 1.085 -0.679
O4 0.000 -1.085 -0.679
H5 0.000 1.838 -0.075
H6 0.000 -1.838 -0.075

Atom - Atom Distances (Å)
  C1 O2 O3 O4 H5 H6
C11.20741.33391.33391.84631.8463
O21.20742.26052.26052.29802.2980
O31.33392.26052.17030.96552.9853
O41.33392.26052.17032.98530.9655
H51.84632.29800.96552.98533.6767
H61.84632.29802.98530.96553.6767

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 105.710 C1 O4 H6 105.710
O2 C1 O3 125.557 O2 C1 O4 125.557
O3 C1 O4 108.886
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HSEh1PBE/6-31G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.724      
2 O -0.482      
3 O -0.473      
4 O -0.473      
5 H 0.352      
6 H 0.352      


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 -0.116 0.116
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -21.627 0.000 0.000
y 0.000 -13.647 0.000
z 0.000 0.000 -28.116
Traceless
 xyz
x -0.746 0.000 0.000
y 0.000 11.224 0.000
z 0.000 0.000 -10.478
Polar
3z2-r2-20.957
x2-y2-7.980
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 1.574 0.000 0.000
y 0.000 3.565 0.000
z 0.000 0.000 3.222


<r2> (average value of r2) Å2
<r2> 59.845
(<r2>)1/2 7.736