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All results from a given calculation for MgSO4 (Magnesium Sulfate)

using model chemistry: B3PW91/6-31+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 B3PW91/6-31+G**
 hartrees
Energy at 0K-898.933235
Energy at 298.15K-898.936789
HF Energy-898.933235
Nuclear repulsion energy382.283120
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 B3PW91/6-31+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 1162 1115 267.11      
2 A1 771 740 290.31      
3 A1 740 710 25.69      
4 A1 565 543 11.33      
5 A1 381 365 51.28      
6 A2 349 335 0.00      
7 B1 1326 1273 262.52      
8 B1 525 504 38.77      
9 B1 105 100 40.76      
10 B2 766 735 379.27      
11 B2 613 589 12.24      
12 B2 451 433 0.70      

Unscaled Zero Point Vibrational Energy (zpe) 3875.7 cm-1
Scaled (by 0.9601) Zero Point Vibrational Energy (zpe) 3721.1 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 B3PW91/6-31+G**
ABC
0.17156 0.08086 0.07976

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3PW91/6-31+G**

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
Mg1 0.000 0.000 -1.899
S2 0.000 0.000 0.586
O3 0.000 1.221 -0.483
O4 0.000 -1.221 -0.483
O5 -1.257 0.000 1.322
O6 1.257 0.000 1.322

Atom - Atom Distances (Å)
  Mg1 S2 O3 O4 O5 O6
Mg12.48421.86921.86923.45723.4572
S22.48421.62281.62281.45701.4570
O31.86921.62282.44212.51602.5160
O41.86921.62282.44212.51602.5160
O53.45721.45702.51602.51602.5145
O63.45721.45702.51602.51602.5145

picture of Magnesium Sulfate state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
Mg1 O3 S2 90.412 Mg1 O4 S2 90.412
O3 Mg1 O4 81.573 O3 S2 O4 97.602
O3 S2 O5 109.442 O3 S2 O6 109.442
O4 S2 O5 109.442 O4 S2 O6 109.442
O5 S2 O6 119.291
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3PW91/6-31+G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 Mg 0.924      
2 S 1.707      
3 O -0.721      
4 O -0.721      
5 O -0.595      
6 O -0.595      


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 -12.853 12.853
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -47.013 0.000 0.000
y 0.000 -48.786 0.000
z 0.000 0.000 -18.991
Traceless
 xyz
x -13.124 0.000 0.000
y 0.000 -15.784 0.000
z 0.000 0.000 28.909
Polar
3z2-r257.817
x2-y21.773
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 6.667 0.000 0.000
y 0.000 5.712 0.000
z 0.000 0.000 9.088


<r2> (average value of r2) Å2
<r2> 153.481
(<r2>)1/2 12.389