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

using model chemistry: TPSSh/6-31+G**

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 1A1
Energy calculated at TPSSh/6-31+G**
 hartrees
Energy at 0K-899.145587
Energy at 298.15K-899.149030
HF Energy-899.145587
Nuclear repulsion energy380.215169
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 TPSSh/6-31+G**
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 1136 1093 251.83      
2 A1 745 717 299.20      
3 A1 725 698 0.03      
4 A1 550 529 11.30      
5 A1 370 357 46.37      
6 A2 332 320 0.00      
7 B1 1299 1250 241.41      
8 B1 504 485 34.39      
9 B1 102 98 39.31      
10 B2 738 711 341.52      
11 B2 595 572 26.61      
12 B2 439 422 0.75      

Unscaled Zero Point Vibrational Energy (zpe) 3767.1 cm-1
Scaled (by 0.9625) Zero Point Vibrational Energy (zpe) 3625.8 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 TPSSh/6-31+G**
ABC
0.16922 0.08010 0.07912

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

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
Mg1 0.000 0.000 -1.903
S2 0.000 0.000 0.589
O3 0.000 1.231 -0.489
O4 0.000 -1.231 -0.489
O5 -1.264 0.000 1.327
O6 1.264 0.000 1.327

Atom - Atom Distances (Å)
  Mg1 S2 O3 O4 O5 O6
Mg12.49231.87481.87483.46863.4686
S22.49231.63681.63681.46361.4636
O31.87481.63682.46252.53232.5323
O41.87481.63682.46252.53232.5323
O53.46861.46362.53232.53232.5283
O63.46861.46362.53232.53232.5283

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 90.166 Mg1 O4 S2 90.166
O3 Mg1 O4 82.104 O3 S2 O4 97.564
O3 S2 O5 109.397 O3 S2 O6 109.397
O4 S2 O5 109.397 O4 S2 O6 109.397
O5 S2 O6 119.469
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at TPSSh/6-31+G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 Mg 0.893      
2 S 1.605      
3 O -0.683      
4 O -0.683      
5 O -0.566      
6 O -0.566      


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 -12.536 12.536
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 6.967 0.000 0.000
y 0.000 5.992 0.000
z 0.000 0.000 9.644


<r2> (average value of r2) Å2
<r2> 154.868
(<r2>)1/2 12.445