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

using model chemistry: M06-2X/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 M06-2X/cc-pVTZ
 hartrees
Energy at 0K-899.181648
Energy at 298.15K-899.185459
HF Energy-899.181648
Nuclear repulsion energy388.751420
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/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 1230 1174 280.30      
2 A1 859 820 236.19      
3 A1 787 752 91.69      
4 A1 597 570 7.37      
5 A1 403 385 60.07      
6 A2 385 367 0.00      
7 B1 1391 1329 268.97      
8 B1 571 545 46.50      
9 B1 96 92 42.05      
10 B2 846 808 418.07      
11 B2 672 642 0.00      
12 B2 483 461 0.64      

Unscaled Zero Point Vibrational Energy (zpe) 4159.4 cm-1
Scaled (by 0.9551) Zero Point Vibrational Energy (zpe) 3972.6 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/cc-pVTZ
ABC
0.17763 0.08364 0.08230

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

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
Mg1 0.000 0.000 -1.870
S2 0.000 0.000 0.573
O3 0.000 1.197 -0.472
O4 0.000 -1.197 -0.472
O5 -1.239 0.000 1.302
O6 1.239 0.000 1.302

Atom - Atom Distances (Å)
  Mg1 S2 O3 O4 O5 O6
Mg12.44311.83991.83993.40533.4053
S22.44311.58911.58911.43731.4373
O31.83991.58912.39342.47292.4729
O41.83991.58912.39342.47292.4729
O53.40531.43732.47292.47292.4775
O63.40531.43732.47292.47292.4775

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 90.571 Mg1 O4 S2 90.571
O3 Mg1 O4 81.144 O3 S2 O4 97.715
O3 S2 O5 109.490 O3 S2 O6 109.490
O4 S2 O5 109.490 O4 S2 O6 109.490
O5 S2 O6 119.056
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at M06-2X/cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 Mg 0.810      
2 S 1.081      
3 O -0.471      
4 O -0.471      
5 O -0.475      
6 O -0.475      


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 -12.968 12.968
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -46.234 0.000 0.000
y 0.000 -47.638 0.000
z 0.000 0.000 -18.768
Traceless
 xyz
x -13.031 0.000 0.000
y 0.000 -15.137 0.000
z 0.000 0.000 28.168
Polar
3z2-r256.337
x2-y21.404
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 5.617 0.000 0.000
y 0.000 4.916 0.000
z 0.000 0.000 7.401


<r2> (average value of r2) Å2
<r2> 148.827
(<r2>)1/2 12.199