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: M06-2X/STO-3G

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/STO-3G
 hartrees
Energy at 0K-887.812486
Energy at 298.15K-887.814949
HF Energy-887.812486
Nuclear repulsion energy359.729537
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/STO-3G
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 904 904 109.26      
2 A1 895 895 54.27      
3 A1 674 674 35.06      
4 A1 458 458 9.40      
5 A1 235 235 20.00      
6 A2 241 241 0.00      
7 B1 1019 1019 40.83      
8 B1 362 362 47.06      
9 B1 94 94 21.51      
10 B2 890 890 33.54      
11 B2 646 646 39.97      
12 B2 285 285 7.90      

Unscaled Zero Point Vibrational Energy (zpe) 3351.3 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 3351.3 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/STO-3G
ABC
0.14209 0.07583 0.07262

See section I.F.4 to change rotational constant units
Geometric Data calculated at M06-2X/STO-3G

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
Mg1 0.000 0.000 -1.841
S2 0.000 0.000 0.615
O3 0.000 1.304 -0.626
O4 0.000 -1.304 -0.626
O5 -1.417 0.000 1.392
O6 1.417 0.000 1.392

Atom - Atom Distances (Å)
  Mg1 S2 O3 O4 O5 O6
Mg12.45661.78271.78273.52993.5299
S22.45661.80031.80031.61571.6157
O31.78271.80032.60832.78912.7891
O41.78271.80032.60832.78912.7891
O53.52991.61572.78912.78912.8340
O63.52991.61572.78912.78912.8340

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 86.567 Mg1 O4 S2 86.567
O3 Mg1 O4 94.031 O3 S2 O4 92.835
O3 S2 O5 109.345 O3 S2 O6 109.345
O4 S2 O5 109.345 O4 S2 O6 109.345
O5 S2 O6 122.564
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at M06-2X/STO-3G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 Mg 0.851      
2 S 0.814      
3 O -0.430      
4 O -0.430      
5 O -0.402      
6 O -0.402      


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 -9.294 9.294
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -41.011 0.000 0.000
y 0.000 -41.527 0.000
z 0.000 0.000 -21.933
Traceless
 xyz
x -9.282 0.000 0.000
y 0.000 -10.054 0.000
z 0.000 0.000 19.336
Polar
3z2-r238.673
x2-y20.515
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.480 0.000 0.000
y 0.000 2.753 0.000
z 0.000 0.000 7.385


<r2> (average value of r2) Å2
<r2> 165.087
(<r2>)1/2 12.849