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

using model chemistry: wB97X-D/SDD

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 1A1
Energy calculated at wB97X-D/SDD
 hartrees
Energy at 0K-898.769865
Energy at 298.15K-898.772678
HF Energy-898.769865
Nuclear repulsion energy 
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 wB97X-D/SDD
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 917 917 166.84      
2 A1 685 685 176.21      
3 A1 619 619 86.88      
4 A1 460 460 19.64      
5 A1 313 313 41.87      
6 A2 268 268 0.00      
7 B1 1022 1022 108.88      
8 B1 420 420 67.64      
9 B1 105 105 46.63      
10 B2 624 624 186.67      
11 B2 536 536 63.41      
12 B2 338 338 0.40      

Unscaled Zero Point Vibrational Energy (zpe) 3153.0 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 3153.0 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 wB97X-D/SDD
ABC
0.15173 0.07084 0.06819

See section I.F.4 to change rotational constant units
Geometric Data calculated at wB97X-D/SDD

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
Mg1 0.000 0.000 -2.010
S2 0.000 0.000 0.650
O3 0.000 1.262 -0.578
O4 0.000 -1.262 -0.578
O5 -1.372 0.000 1.436
O6 1.372 0.000 1.436

Atom - Atom Distances (Å)
  Mg1 S2 O3 O4 O5 O6
Mg12.65981.90811.90813.70853.7085
S22.65981.76081.76081.58071.5807
O31.90811.76082.52342.74402.7440
O41.90811.76082.52342.74402.7440
O53.70851.58072.74402.74402.7432
O63.70851.58072.74402.74402.7432

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 92.839 Mg1 O4 S2 92.839
O3 Mg1 O4 82.785 O3 S2 O4 91.537
O3 S2 O5 110.289 O3 S2 O6 110.289
O4 S2 O5 110.289 O4 S2 O6 110.289
O5 S2 O6 120.382
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at wB97X-D/SDD Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 Mg 1.335      
2 S 1.410      
3 O -0.805      
4 O -0.805      
5 O -0.568      
6 O -0.568      


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 -13.449 13.449
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -49.748 0.000 0.000
y 0.000 -53.138 0.000
z 0.000 0.000 -17.937
Traceless
 xyz
x -14.211 0.000 0.000
y 0.000 -19.295 0.000
z 0.000 0.000 33.506
Polar
3z2-r267.013
x2-y23.389
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 6.720 0.000 0.000
y 0.000 5.353 0.000
z 0.000 0.000 10.064


<r2> (average value of r2) Å2
<r2> 174.287
(<r2>)1/2 13.202