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

using model chemistry: PBEPBEultrafine/6-31G*

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 1A1
Energy calculated at PBEPBEultrafine/6-31G*
 hartrees
Energy at 0K-898.528619
Energy at 298.15K-898.531867
HF Energy-898.528619
Nuclear repulsion energy377.509402
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 PBEPBEultrafine/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 A1 1118 1099 200.04      
2 A1 714 702 199.61      
3 A1 697 685 54.86      
4 A1 534 526 10.79      
5 A1 363 357 35.17      
6 A2 301 296 0.00      
7 B1 1291 1269 147.63      
8 B1 476 468 18.86      
9 B1 97 95 33.71      
10 B2 705 693 221.06      
11 B2 551 542 49.39      
12 B2 421 414 3.88      

Unscaled Zero Point Vibrational Energy (zpe) 3633.5 cm-1
Scaled (by 0.9835) Zero Point Vibrational Energy (zpe) 3573.6 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 PBEPBEultrafine/6-31G*
ABC
0.16469 0.07945 0.07882

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

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
Mg1 0.000 0.000 -1.897
S2 0.000 0.000 0.591
O3 0.000 1.254 -0.497
O4 0.000 -1.254 -0.497
O5 -1.275 0.000 1.328
O6 1.275 0.000 1.328

Atom - Atom Distances (Å)
  Mg1 S2 O3 O4 O5 O6
Mg12.48851.88011.88013.46863.4686
S22.48851.66041.66041.47301.4730
O31.88011.66042.50852.55552.5555
O41.88011.66042.50852.55552.5555
O53.46861.47302.55552.55552.5507
O63.46861.47302.55552.55552.5507

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 89.091 Mg1 O4 S2 89.091
O3 Mg1 O4 83.693 O3 S2 O4 98.124
O3 S2 O5 109.141 O3 S2 O6 109.141
O4 S2 O5 109.141 O4 S2 O6 109.141
O5 S2 O6 119.946
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBEultrafine/6-31G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 Mg 0.861      
2 S 1.308      
3 O -0.632      
4 O -0.632      
5 O -0.453      
6 O -0.453      


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 -11.210 11.210
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -45.812 0.000 0.000
y 0.000 -47.970 0.000
z 0.000 0.000 -20.534
Traceless
 xyz
x -11.560 0.000 0.000
y 0.000 -14.797 0.000
z 0.000 0.000 26.357
Polar
3z2-r252.714
x2-y22.158
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 6.452 0.000 0.000
y 0.000 5.296 0.000
z 0.000 0.000 10.659


<r2> (average value of r2) Å2
<r2> 155.961
(<r2>)1/2 12.488