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

using model chemistry: HF/CEP-31G*

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 1A1
Energy calculated at HF/CEP-31G*
 hartrees
Energy at 0K-73.454061
Energy at 298.15K-73.458016
HF Energy-73.454061
Nuclear repulsion energy110.399087
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 HF/CEP-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 920 826 535.37      
2 ?a 920 826 239.39      
3 A1 1261 1133 360.96      
4 A1 799 718 115.07      
5 A1 620 557 12.39      
6 A1 420 378 80.50      
7 A2 411 369 0.00      
8 B1 1415 1270 383.50      
9 B1 617 554 80.00      
10 B1 116 104 48.87      
11 B2 703 631 8.06      
12 B2 499 448 0.11      

Unscaled Zero Point Vibrational Energy (zpe) 4350.2 cm-1
Scaled (by 0.898) Zero Point Vibrational Energy (zpe) 3906.5 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 HF/CEP-31G*
ABC
0.18044 0.08263 0.08087

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

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
Mg1 0.000 0.000 -1.900
S2 0.000 0.000 0.581
O3 0.000 1.179 -0.468
O4 0.000 -1.179 -0.468
O5 -1.237 0.000 1.313
O6 1.237 0.000 1.313

Atom - Atom Distances (Å)
  Mg1 S2 O3 O4 O5 O6
Mg12.48081.85531.85533.44293.4429
S22.48081.57801.57801.43731.4373
O31.85531.57802.35862.46812.4681
O41.85531.57802.35862.46812.4681
O53.44291.43732.46812.46812.4737
O63.44291.43732.46812.46812.4737

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 92.174 Mg1 O4 S2 92.174
O3 Mg1 O4 78.932 O3 S2 O4 96.720
O3 S2 O5 109.786 O3 S2 O6 109.786
O4 S2 O5 109.786 O4 S2 O6 109.786
O5 S2 O6 118.746
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HF/CEP-31G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 Mg 1.107      
2 S 1.067      
3 O -0.632      
4 O -0.632      
5 O -0.455      
6 O -0.455      


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 -14.545 14.545
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -44.714 0.000 0.000
y 0.000 -46.107 0.000
z 0.000 0.000 -14.261
Traceless
 xyz
x -14.530 0.000 0.000
y 0.000 -16.620 0.000
z 0.000 0.000 31.150
Polar
3z2-r262.300
x2-y21.394
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 4.614 0.000 0.000
y 0.000 3.995 0.000
z 0.000 0.000 5.917


<r2> (average value of r2) Å2
<r2> 89.476
(<r2>)1/2 9.459