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

using model chemistry: M06-2X/6-31G

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 1A1
Energy calculated at M06-2X/6-31G
 hartrees
Energy at 0K-898.639350
Energy at 298.15K-898.642296
HF Energy-898.639350
Nuclear repulsion energy356.585309
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 M06-2X/6-31G
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 932 932 159.87      
2 A1 696 696 186.02      
3 A1 675 675 43.21      
4 A1 468 468 10.01      
5 A1 311 311 42.96      
6 A2 267 267 0.00      
7 B1 1041 1041 79.01      
8 B1 426 426 68.54      
9 B1 110 110 43.82      
10 B2 671 671 223.14      
11 B2 585 585 3.84      
12 B2 344 344 2.84      

Unscaled Zero Point Vibrational Energy (zpe) 3263.0 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 3263.0 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 M06-2X/6-31G
ABC
0.14881 0.07180 0.06873

See section I.F.4 to change rotational constant units
Geometric Data calculated at M06-2X/6-31G

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
Mg1 0.000 0.000 -1.985
S2 0.000 0.000 0.637
O3 0.000 1.267 -0.577
O4 0.000 -1.267 -0.577
O5 -1.391 0.000 1.428
O6 1.391 0.000 1.428

Atom - Atom Distances (Å)
  Mg1 S2 O3 O4 O5 O6
Mg12.62281.89501.89503.68593.6859
S22.62281.75511.75511.59991.5999
O31.89501.75512.53492.74952.7495
O41.89501.75512.53492.74952.7495
O53.68591.59992.74952.74952.7819
O63.68591.59992.74952.74952.7819

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 91.789 Mg1 O4 S2 91.789
O3 Mg1 O4 83.956 O3 S2 O4 92.466
O3 S2 O5 109.986 O3 S2 O6 109.986
O4 S2 O5 109.986 O4 S2 O6 109.986
O5 S2 O6 120.777
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at M06-2X/6-31G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 Mg 1.254      
2 S 1.489      
3 O -0.801      
4 O -0.801      
5 O -0.571      
6 O -0.571      


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 -13.199 13.199
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -49.594 0.000 0.000
y 0.000 -52.391 0.000
z 0.000 0.000 -18.939
Traceless
 xyz
x -13.930 0.000 0.000
y 0.000 -18.124 0.000
z 0.000 0.000 32.054
Polar
3z2-r264.107
x2-y22.796
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 6.287 0.000 0.000
y 0.000 5.018 0.000
z 0.000 0.000 10.048


<r2> (average value of r2) Å2
<r2> 173.581
(<r2>)1/2 13.175