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

using model chemistry: HSEh1PBE/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 HSEh1PBE/6-31G**
 hartrees
Energy at 0K-898.613062
Energy at 298.15K-898.616663
HF Energy-898.613062
Nuclear repulsion energy383.723483
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 HSEh1PBE/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 1190 1135 252.56      
2 A1 793 757 257.71      
3 A1 748 714 45.96      
4 A1 576 550 8.79      
5 A1 388 370 48.72      
6 A2 349 333 0.00      
7 B1 1366 1303 224.17      
8 B1 534 510 38.09      
9 B1 105 100 40.47      
10 B2 785 749 350.76      
11 B2 622 594 7.45      
12 B2 454 433 1.96      

Unscaled Zero Point Vibrational Energy (zpe) 3954.3 cm-1
Scaled (by 0.9543) Zero Point Vibrational Energy (zpe) 3773.6 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 HSEh1PBE/6-31G**
ABC
0.17213 0.08167 0.08054

See section I.F.4 to change rotational constant units
Geometric Data calculated at HSEh1PBE/6-31G**

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
Mg1 0.000 0.000 -1.888
S2 0.000 0.000 0.583
O3 0.000 1.219 -0.480
O4 0.000 -1.219 -0.480
O5 -1.255 0.000 1.313
O6 1.255 0.000 1.313

Atom - Atom Distances (Å)
  Mg1 S2 O3 O4 O5 O6
Mg12.47111.86201.86203.43833.4383
S22.47111.61761.61761.45211.4521
O31.86201.61762.43782.50552.5055
O41.86201.61762.43782.50552.5055
O53.43831.45212.50552.50552.5106
O63.43831.45212.50552.50552.5106

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 90.215 Mg1 O4 S2 90.215
O3 Mg1 O4 81.781 O3 S2 O4 97.789
O3 S2 O5 109.297 O3 S2 O6 109.297
O4 S2 O5 109.297 O4 S2 O6 109.297
O5 S2 O6 119.649
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HSEh1PBE/6-31G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 Mg 0.992      
2 S 1.449      
3 O -0.710      
4 O -0.710      
5 O -0.511      
6 O -0.511      


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 -12.383 12.383
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -45.874 0.000 0.000
y 0.000 -47.801 0.000
z 0.000 0.000 -18.864
Traceless
 xyz
x -12.542 0.000 0.000
y 0.000 -15.432 0.000
z 0.000 0.000 27.974
Polar
3z2-r255.947
x2-y21.926
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 5.527 0.000 0.000
y 0.000 4.615 0.000
z 0.000 0.000 8.477


<r2> (average value of r2) Å2
<r2> 151.903
(<r2>)1/2 12.325