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

using model chemistry: BLYP/3-21G

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 1A1
Energy calculated at BLYP/3-21G
 hartrees
Energy at 0K-894.201138
Energy at 298.15K-894.203691
HF Energy-894.201138
Nuclear repulsion energy352.709033
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 BLYP/3-21G
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 925 919 81.67      
2 A1 671 667 32.39      
3 A1 547 544 138.19      
4 A1 427 425 20.57      
5 A1 314 312 16.09      
6 A2 235 234 0.00      
7 B1 1061 1055 32.49      
8 B1 351 349 18.30      
9 B1 114 113 25.78      
10 B2 648 645 40.05      
11 B2 411 409 80.56      
12 B2 318 316 2.98      

Unscaled Zero Point Vibrational Energy (zpe) 3010.3 cm-1
Scaled (by 0.9945) Zero Point Vibrational Energy (zpe) 2993.7 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 BLYP/3-21G
ABC
0.14205 0.07053 0.06930

See section I.F.4 to change rotational constant units
Geometric Data calculated at BLYP/3-21G

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
Mg1 0.000 0.000 -1.950
S2 0.000 0.000 0.642
O3 0.000 1.337 -0.610
O4 0.000 -1.337 -0.610
O5 -1.386 0.000 1.431
O6 1.386 0.000 1.431

Atom - Atom Distances (Å)
  Mg1 S2 O3 O4 O5 O6
Mg12.59201.89361.89363.65423.6542
S22.59201.83161.83161.59501.5950
O31.89361.83162.67492.80612.8061
O41.89361.83162.67492.80612.8061
O53.65421.59502.80612.80612.7721
O63.65421.59502.80612.80612.7721

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 88.163 Mg1 O4 S2 88.163
O3 Mg1 O4 89.868 O3 S2 O4 93.806
O3 S2 O5 109.759 O3 S2 O6 109.759
O4 S2 O5 109.759 O4 S2 O6 109.759
O5 S2 O6 120.686
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at BLYP/3-21G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 Mg 0.774      
2 S 1.244      
3 O -0.535      
4 O -0.535      
5 O -0.474      
6 O -0.474      


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 -8.874 8.874
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -47.361 0.000 0.000
y 0.000 -50.267 0.000
z 0.000 0.000 -24.900
Traceless
 xyz
x -9.778 0.000 0.000
y 0.000 -14.136 0.000
z 0.000 0.000 23.914
Polar
3z2-r247.828
x2-y22.906
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 7.355 0.000 0.000
y 0.000 5.761 0.000
z 0.000 0.000 13.943


<r2> (average value of r2) Å2
<r2> 175.807
(<r2>)1/2 13.259