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

using model chemistry: PBE1PBE/cc-pVDZ

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-pVDZ
 hartrees
Energy at 0K-898.585232
Energy at 298.15K-898.588784
HF Energy-898.585232
Nuclear repulsion energy380.378905
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-pVDZ
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 1167 1122 247.43      
2 A1 775 745 261.83      
3 A1 744 715 30.77      
4 A1 561 539 7.00      
5 A1 376 362 46.91      
6 A2 342 329 0.00      
7 B1 1337 1286 217.22      
8 B1 515 495 38.79      
9 B1 105 101 39.95      
10 B2 765 735 327.76      
11 B2 618 594 17.01      
12 B2 449 432 3.28      

Unscaled Zero Point Vibrational Energy (zpe) 3876.2 cm-1
Scaled (by 0.9615) Zero Point Vibrational Energy (zpe) 3726.9 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-pVDZ
ABC
0.16917 0.08036 0.07912

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

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
Mg1 0.000 0.000 -1.899
S2 0.000 0.000 0.592
O3 0.000 1.227 -0.492
O4 0.000 -1.227 -0.492
O5 -1.268 0.000 1.324
O6 1.268 0.000 1.324

Atom - Atom Distances (Å)
  Mg1 S2 O3 O4 O5 O6
Mg12.49181.86721.86723.46413.4641
S22.49181.63791.63791.46431.4643
O31.86721.63792.45472.53262.5326
O41.86721.63792.45472.53262.5326
O53.46411.46432.53262.53262.5367
O63.46411.46432.53262.53262.5367

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 90.373 Mg1 O4 S2 90.373
O3 Mg1 O4 82.191 O3 S2 O4 97.062
O3 S2 O5 109.324 O3 S2 O6 109.324
O4 S2 O5 109.324 O4 S2 O6 109.324
O5 S2 O6 120.040
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBE1PBE/cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 Mg 0.878      
2 S 1.139      
3 O -0.573      
4 O -0.573      
5 O -0.436      
6 O -0.436      


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 -12.048 12.048
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -45.889 0.000 0.000
y 0.000 -48.163 0.000
z 0.000 0.000 -18.766
Traceless
 xyz
x -12.424 0.000 0.000
y 0.000 -15.836 0.000
z 0.000 0.000 28.260
Polar
3z2-r256.520
x2-y22.275
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 5.568 0.000 0.000
y 0.000 4.574 0.000
z 0.000 0.000 8.730


<r2> (average value of r2) Å2
<r2> 154.167
(<r2>)1/2 12.416