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

using model chemistry: TPSSh/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 TPSSh/3-21G*
 hartrees
Energy at 0K-894.570309
Energy at 298.15K-894.573810
HF Energy-894.570309
Nuclear repulsion energy380.845732
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 TPSSh/3-21G*
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
(Å4/u)
Dep P Dep U
1 A1 1165 1125 224.72      
2 A1 759 733 249.77      
3 A1 748 722 29.03      
4 A1 555 536 4.94      
5 A1 378 365 37.69      
6 A2 339 327 0.00      
7 B1 1354 1308 150.58      
8 B1 500 483 32.71      
9 B1 106 103 37.37      
10 B2 752 727 251.42      
11 B2 614 593 34.53      
12 B2 442 427 4.85      

Unscaled Zero Point Vibrational Energy (zpe) 3856.5 cm-1
Scaled (by 0.9657) Zero Point Vibrational Energy (zpe) 3724.2 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 TPSSh/3-21G*
ABC
0.16837 0.08088 0.07979

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

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
Mg1 0.000 0.000 -1.884
S2 0.000 0.000 0.590
O3 0.000 1.233 -0.496
O4 0.000 -1.233 -0.496
O5 -1.269 0.000 1.319
O6 1.269 0.000 1.319

Atom - Atom Distances (Å)
  Mg1 S2 O3 O4 O5 O6
Mg12.47351.85651.85653.44523.4452
S22.47351.64291.64291.46351.4635
O31.85651.64292.46612.53482.5348
O41.85651.64292.46612.53482.5348
O53.44521.46352.53482.53482.5371
O63.44521.46352.53482.53482.5371

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 89.742 Mg1 O4 S2 89.742
O3 Mg1 O4 83.240 O3 S2 O4 97.276
O3 S2 O5 109.237 O3 S2 O6 109.237
O4 S2 O5 109.237 O4 S2 O6 109.237
O5 S2 O6 120.185
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at TPSSh/3-21G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 Mg 0.708      
2 S 1.277      
3 O -0.543      
4 O -0.543      
5 O -0.449      
6 O -0.449      


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 -11.228 11.228
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 5.382 0.000 0.000
y 0.000 4.278 0.000
z 0.000 0.000 8.994


<r2> (average value of r2) Å2
<r2> 153.670
(<r2>)1/2 12.396