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All results from a given calculation for H2SO4 (Sulfuric 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 C1 1A
Energy calculated at mPW1PW91/6-31+G**
 hartrees
Energy at 0K-700.160995
Energy at 298.15K-700.166012
Nuclear repulsion energy286.107574
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 A 3824 3639 59.93      
2 A 1205 1147 186.16      
3 A 1144 1089 77.98      
4 A 808 769 116.18      
5 A 523 497 51.22      
6 A 423 403 26.17      
7 A 358 341 4.95      
8 A 252 240 100.21      
9 B 3820 3635 218.45      
10 B 1454 1383 317.79      
11 B 1158 1103 95.36      
12 B 866 825 354.24      
13 B 529 503 29.96      
14 B 473 450 50.78      
15 B 319 304 68.99      

Unscaled Zero Point Vibrational Energy (zpe) 8577.7 cm-1
Scaled (by 0.9518) Zero Point Vibrational Energy (zpe) 8164.2 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 mPW1PW91/6-31+G**
ABC
0.16526 0.16307 0.15666

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

Point Group is C2

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 0.000 0.163
O2 0.000 1.273 0.833
O3 0.000 -1.273 0.833
O4 1.249 -0.049 -0.853
O5 -1.249 0.049 -0.853
H6 -1.457 -0.854 -1.137
H7 1.457 0.854 -1.137

Atom - Atom Distances (Å)
  S1 O2 O3 O4 O5 H6 H7
S11.43881.43881.61111.61112.13172.1317
O21.43882.54672.48022.42963.24532.4861
O31.43882.54672.42962.48022.48613.2453
O41.61112.48022.42962.50012.83810.9693
O51.61112.42962.48022.50010.96932.8381
H62.13173.24532.48612.83810.96933.3788
H72.13172.48613.24530.96932.83813.3788

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 108.855 S1 O5 H6 108.855
O2 S1 O3 124.504 O2 S1 O4 108.692
O2 S1 O5 105.481 O3 S1 O4 105.481
O3 S1 O5 108.692 O4 S1 O5 101.776
Electronic energy levels

Electronic state

Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/6-31+G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 S 1.568      
2 O -0.574      
3 O -0.574      
4 O -0.610      
5 O -0.610      
6 H 0.401      
7 H 0.401      


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 -3.211 3.211
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -32.654 5.688 0.000
y 5.688 -37.225 0.000
z 0.000 0.000 -34.953
Traceless
 xyz
x 3.435 5.688 0.000
y 5.688 -3.421 0.000
z 0.000 0.000 -0.014
Polar
3z2-r2-0.027
x2-y24.570
xy5.688
xz0.000
yz0.000


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


<r2> (average value of r2) Å2
<r2> 104.239
(<r2>)1/2 10.210