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All results from a given calculation for H2SO4 (Sulfuric acid)

using model chemistry: PBEPBEultrafine/6-31G*

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C1 1A
Energy calculated at PBEPBEultrafine/6-31G*
 hartrees
Energy at 0K-699.735912
Energy at 298.15K-699.740613
HF Energy-699.735912
Nuclear repulsion energy280.881574
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 PBEPBEultrafine/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 A 3584 3525 33.34      
2 A 1146 1127 61.96      
3 A 1137 1118 159.31      
4 A 737 725 101.72      
5 A 484 476 33.50      
6 A 394 388 25.85      
7 A 325 319 7.28      
8 A 216 212 92.92      
9 B 3581 3521 127.90      
10 B 1406 1383 230.58      
11 B 1148 1129 92.86      
12 B 806 792 302.02      
13 B 482 474 15.34      
14 B 442 434 47.60      
15 B 292 287 58.21      

Unscaled Zero Point Vibrational Energy (zpe) 8088.9 cm-1
Scaled (by 0.9835) Zero Point Vibrational Energy (zpe) 7955.5 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 PBEPBEultrafine/6-31G*
ABC
0.15935 0.15733 0.15047

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

Point Group is C2

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 0.000 0.170
O2 0.000 1.296 0.843
O3 0.000 -1.296 0.843
O4 1.279 -0.056 -0.871
O5 -1.279 0.056 -0.871
H6 -1.466 -0.875 -1.133
H7 1.466 0.875 -1.133

Atom - Atom Distances (Å)
  S1 O2 O3 O4 O5 H6 H7
S11.46051.46051.64981.64982.14782.1478
O21.46052.59262.53012.47193.28152.4960
O31.46052.59262.47192.53012.49603.2815
O41.64982.53012.47192.55972.87640.9855
O51.64982.47192.53012.55970.98552.8764
H62.14783.28152.49602.87640.98553.4152
H72.14782.49603.28150.98552.87643.4152

picture of Sulfuric acid state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
S1 O4 H7 106.432 S1 O5 H6 106.432
O2 S1 O3 125.139 O2 S1 O4 108.720
O2 S1 O5 105.097 O3 S1 O4 105.097
O3 S1 O5 108.720 O4 S1 O5 101.747
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBEultrafine/6-31G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 S 1.153      
2 O -0.435      
3 O -0.435      
4 O -0.579      
5 O -0.579      
6 H 0.438      
7 H 0.438      


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 -2.897 2.897
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -32.209 5.538 0.016
y 5.538 -35.969 0.020
z 0.016 0.020 -34.264
Traceless
 xyz
x 2.907 5.538 0.016
y 5.538 -2.733 0.020
z 0.016 0.020 -0.175
Polar
3z2-r2-0.350
x2-y23.760
xy5.538
xz0.016
yz0.020


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 4.259 0.313 0.001
y 0.313 4.869 0.003
z 0.001 0.003 4.213


<r2> (average value of r2) Å2
<r2> 106.788
(<r2>)1/2 10.334