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 MgSO4 (Magnesium Sulfate)

using model chemistry: HSEh1PBE/6-311G**

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 1A1
Energy calculated at HSEh1PBE/6-311G**
 hartrees
Energy at 0K-898.725773
Energy at 298.15K-898.729405
HF Energy-898.725773
Nuclear repulsion energy384.061789
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 HSEh1PBE/6-311G**
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 1188 1141 269.03      
2 A1 787 756 285.89      
3 A1 746 716 37.28      
4 A1 575 552 8.24      
5 A1 388 373 52.77      
6 A2 358 344 0.00      
7 B1 1365 1311 258.04      
8 B1 541 519 43.96      
9 B1 106 102 41.42      
10 B2 770 740 359.52      
11 B2 619 594 9.98      
12 B2 457 439 0.91      

Unscaled Zero Point Vibrational Energy (zpe) 3949.8 cm-1
Scaled (by 0.9604) Zero Point Vibrational Energy (zpe) 3793.4 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 HSEh1PBE/6-311G**
ABC
0.17419 0.08121 0.08013

See section I.F.4 to change rotational constant units
Geometric Data calculated at HSEh1PBE/6-311G**

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
Mg1 0.000 0.000 -1.904
S2 0.000 0.000 0.589
O3 0.000 1.212 -0.476
O4 0.000 -1.212 -0.476
O5 -1.248 0.000 1.315
O6 1.248 0.000 1.315

Atom - Atom Distances (Å)
  Mg1 S2 O3 O4 O5 O6
Mg12.49261.87241.87243.45203.4520
S22.49261.61361.61361.44351.4435
O31.87241.61362.42382.49692.4969
O41.87241.61362.42382.49692.4969
O53.45201.44352.49692.49692.4952
O63.45201.44352.49692.49692.4952

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 90.981 Mg1 O4 S2 90.981
O3 Mg1 O4 80.670 O3 S2 O4 97.367
O3 S2 O5 109.397 O3 S2 O6 109.397
O4 S2 O5 109.397 O4 S2 O6 109.397
O5 S2 O6 119.598
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HSEh1PBE/6-311G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 Mg 1.060      
2 S 1.226      
3 O -0.654      
4 O -0.654      
5 O -0.488      
6 O -0.488      


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 -12.868 12.868
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -46.750 0.000 0.000
y 0.000 -48.694 0.000
z 0.000 0.000 -18.886
Traceless
 xyz
x -12.960 0.000 0.000
y 0.000 -15.876 0.000
z 0.000 0.000 28.836
Polar
3z2-r257.673
x2-y21.944
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 5.601 0.000 0.000
y 0.000 4.688 0.000
z 0.000 0.000 8.432


<r2> (average value of r2) Å2
<r2> 152.543
(<r2>)1/2 12.351