return to home page Computational Chemistry Comparison and Benchmark DataBase Release 22 (May 2022) Standard Reference Database 101 National Institute of Standards and Technology
You are here: Calculated > Energy > Optimized > Energy

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

using model chemistry: mPW1PW91/6-31+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 mPW1PW91/6-31+G**
 hartrees
Energy at 0K-264.953657
Energy at 298.15K-264.957411
HF Energy-264.953657
Nuclear repulsion energy123.515853
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 mPW1PW91/6-31+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 3873 3687 17.42      
2 A1 1870 1780 594.21      
3 A1 1294 1232 35.12      
4 A1 1010 962 14.74      
5 A1 551 524 7.04      
6 A2 537 511 0.00      
7 B1 805 766 63.17      
8 B1 609 579 240.81      
9 B2 3871 3684 210.73      
10 B2 1495 1423 197.43      
11 B2 1180 1123 415.92      
12 B2 604 575 55.22      

Unscaled Zero Point Vibrational Energy (zpe) 8849.1 cm-1
Scaled (by 0.9518) Zero Point Vibrational Energy (zpe) 8422.6 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 mPW1PW91/6-31+G**
ABC
0.40089 0.37818 0.19460

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

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 0.096
O2 0.000 0.000 1.305
O3 0.000 1.085 -0.678
O4 0.000 -1.085 -0.678
H5 0.000 1.848 -0.086
H6 0.000 -1.848 -0.086

Atom - Atom Distances (Å)
  C1 O2 O3 O4 H5 H6
C11.20851.33321.33321.85681.8568
O21.20852.26032.26032.31262.3126
O31.33322.26032.17100.96532.9925
O41.33322.26032.17102.99250.9653
H51.85682.31260.96532.99253.6957
H61.85682.31262.99250.96533.6957

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 106.677 C1 O4 H6 106.677
O2 C1 O3 125.491 O2 C1 O4 125.491
O3 C1 O4 109.017
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/6-31+G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.639      
2 O -0.487      
3 O -0.462      
4 O -0.462      
5 H 0.386      
6 H 0.386      


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 -0.172 0.172
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -22.404 0.000 0.000
y 0.000 -14.023 0.000
z 0.000 0.000 -29.366
Traceless
 xyz
x -0.710 0.000 0.000
y 0.000 11.862 0.000
z 0.000 0.000 -11.153
Polar
3z2-r2-22.305
x2-y2-8.381
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 2.301 0.000 0.000
y 0.000 3.980 0.000
z 0.000 0.000 4.056


<r2> (average value of r2) Å2
<r2> 60.419
(<r2>)1/2 7.773