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

using model chemistry: PBE1PBE/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 PBE1PBE/6-31G*
 hartrees
Energy at 0K-699.751676
Energy at 298.15K-699.756655
HF Energy-699.751676
Nuclear repulsion energy286.153912
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 PBE1PBE/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 3759 3573 44.67      
2 A 1220 1160 178.94      
3 A 1181 1122 90.50      
4 A 822 781 106.59      
5 A 529 502 53.23      
6 A 422 401 22.82      
7 A 354 336 4.07      
8 A 232 220 111.80      
9 B 3755 3569 201.84      
10 B 1482 1408 286.58      
11 B 1196 1137 105.58      
12 B 888 844 340.40      
13 B 528 502 32.30      
14 B 476 453 51.12      
15 B 311 295 67.69      

Unscaled Zero Point Vibrational Energy (zpe) 8577.3 cm-1
Scaled (by 0.9503) Zero Point Vibrational Energy (zpe) 8151.0 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 PBE1PBE/6-31G*
ABC
0.16592 0.16289 0.15647

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBE1PBE/6-31G*

Point Group is C2

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 0.000 0.162
O2 0.000 1.274 0.830
O3 0.000 -1.274 0.830
O4 1.249 -0.043 -0.855
O5 -1.249 0.043 -0.855
H6 -1.463 -0.873 -1.105
H7 1.463 0.873 -1.105

Atom - Atom Distances (Å)
  S1 O2 O3 O4 O5 H6 H7
S11.43841.43841.61141.61142.12362.1236
O21.43842.54792.47642.43223.23972.4590
O31.43842.54792.43222.47642.45903.2397
O41.61142.47642.43222.49962.84750.9731
O51.61142.43222.47642.49960.97312.8475
H62.12363.23972.45902.84750.97313.4076
H72.12362.45903.23970.97312.84753.4076

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 107.940 S1 O5 H6 107.940
O2 S1 O3 124.671 O2 S1 O4 108.449
O2 S1 O5 105.646 O3 S1 O4 105.646
O3 S1 O5 108.449 O4 S1 O5 101.718
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBE1PBE/6-31G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 S 1.289      
2 O -0.485      
3 O -0.485      
4 O -0.625      
5 O -0.625      
6 H 0.465      
7 H 0.465      


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 -3.097 3.097
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -31.751 5.766 0.000
y 5.766 -36.204 0.000
z 0.000 0.000 -34.402
Traceless
 xyz
x 3.552 5.766 0.000
y 5.766 -3.128 0.000
z 0.000 0.000 -0.425
Polar
3z2-r2-0.849
x2-y24.453
xy5.766
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.895 0.289 0.000
y 0.289 4.492 0.000
z 0.000 0.000 3.860


<r2> (average value of r2) Å2
<r2> 103.658
(<r2>)1/2 10.181