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

using model chemistry: HSEh1PBE/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 HSEh1PBE/6-31G
 hartrees
Energy at 0K-898.312923
Energy at 298.15K-898.315643
HF Energy-898.312923
Nuclear repulsion energy353.486218
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/6-31G
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 909 869 140.14      
2 A1 672 643 109.72      
3 A1 627 600 110.42      
4 A1 442 422 12.75      
5 A1 298 285 34.50      
6 A2 242 231 0.00      
7 B1 1017 973 80.53      
8 B1 390 373 51.88      
9 B1 106 102 40.92      
10 B2 641 613 146.62      
11 B2 538 514 56.38      
12 B2 325 311 1.94      

Unscaled Zero Point Vibrational Energy (zpe) 3103.0 cm-1
Scaled (by 0.9566) Zero Point Vibrational Energy (zpe) 2968.3 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/6-31G
ABC
0.14535 0.07059 0.06816

See section I.F.4 to change rotational constant units
Geometric Data calculated at HSEh1PBE/6-31G

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
Mg1 0.000 0.000 -1.986
S2 0.000 0.000 0.643
O3 0.000 1.296 -0.591
O4 0.000 -1.296 -0.591
O5 -1.395 0.000 1.437
O6 1.395 0.000 1.437

Atom - Atom Distances (Å)
  Mg1 S2 O3 O4 O5 O6
Mg12.62871.90391.90393.69673.6967
S22.62871.78931.78931.60551.6055
O31.90391.78932.59182.78212.7821
O41.90391.78932.59182.78212.7821
O53.69671.60552.78212.78212.7901
O63.69671.60552.78212.78212.7901

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 90.700 Mg1 O4 S2 90.700
O3 Mg1 O4 85.789 O3 S2 O4 92.811
O3 S2 O5 109.956 O3 S2 O6 109.956
O4 S2 O5 109.956 O4 S2 O6 109.956
O5 S2 O6 120.667
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HSEh1PBE/6-31G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 Mg 1.196      
2 S 1.392      
3 O -0.756      
4 O -0.756      
5 O -0.538      
6 O -0.538      


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 -12.339 12.339
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -49.035 0.000 0.000
y 0.000 -52.268 0.000
z 0.000 0.000 -19.789
Traceless
 xyz
x -13.007 0.000 0.000
y 0.000 -17.855 0.000
z 0.000 0.000 30.862
Polar
3z2-r261.724
x2-y23.232
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 6.724 0.000 0.000
y 0.000 5.434 0.000
z 0.000 0.000 11.427


<r2> (average value of r2) Å2
<r2> 175.804
(<r2>)1/2 13.259