return to home page Computational Chemistry Comparison and Benchmark DataBase Release 22 (May 2022) Standard Reference Database 101 National Institute of Standards and Technology
You are here: Calculated > Energy > Optimized > Energy

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

using model chemistry: PBE1PBE/cc-pVTZ

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 1A1
Energy calculated at PBE1PBE/cc-pVTZ
 hartrees
Energy at 0K-898.763573
Energy at 298.15K-898.767302
HF Energy-898.763573
Nuclear repulsion energy387.762145
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 PBE1PBE/cc-pVTZ
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 1213 1166 253.17      
2 A1 821 789 258.65      
3 A1 768 738 50.18      
4 A1 587 565 7.28      
5 A1 396 381 52.04      
6 A2 371 357 0.00      
7 B1 1380 1326 238.73      
8 B1 552 531 35.37      
9 B1 100 96 39.07      
10 B2 807 776 380.59      
11 B2 650 625 3.56      
12 B2 472 454 0.76      

Unscaled Zero Point Vibrational Energy (zpe) 4058.8 cm-1
Scaled (by 0.961) Zero Point Vibrational Energy (zpe) 3900.5 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 PBE1PBE/cc-pVTZ
ABC
0.17618 0.08327 0.08214

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBE1PBE/cc-pVTZ

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
Mg1 0.000 0.000 -1.872
S2 0.000 0.000 0.573
O3 0.000 1.205 -0.472
O4 0.000 -1.205 -0.472
O5 -1.241 0.000 1.303
O6 1.241 0.000 1.303

Atom - Atom Distances (Å)
  Mg1 S2 O3 O4 O5 O6
Mg12.44501.84671.84673.40873.4087
S22.44501.59541.59541.43941.4394
O31.84671.59542.40992.47872.4787
O41.84671.59542.40992.47872.4787
O53.40871.43942.47872.47872.4813
O63.40871.43942.47872.47872.4813

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 90.220 Mg1 O4 S2 90.220
O3 Mg1 O4 81.463 O3 S2 O4 98.097
O3 S2 O5 109.411 O3 S2 O6 109.411
O4 S2 O5 109.411 O4 S2 O6 109.411
O5 S2 O6 119.063
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBE1PBE/cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 Mg 0.820      
2 S 1.021      
3 O -0.471      
4 O -0.471      
5 O -0.449      
6 O -0.449      


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 -12.551 12.551
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -45.879 0.000 0.000
y 0.000 -47.307 0.000
z 0.000 0.000 -19.145
Traceless
 xyz
x -12.653 0.000 0.000
y 0.000 -14.795 0.000
z 0.000 0.000 27.447
Polar
3z2-r254.895
x2-y21.428
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 5.921 0.000 0.000
y 0.000 5.135 0.000
z 0.000 0.000 8.407


<r2> (average value of r2) Å2
<r2> 149.287
(<r2>)1/2 12.218