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

using model chemistry: wB97X-D/6-31G(2df,p)

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 1A1
Energy calculated at wB97X-D/6-31G(2df,p)
 hartrees
Energy at 0K-899.072828
Energy at 298.15K-899.076563
HF Energy-899.072828
Nuclear repulsion energy 
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 wB97X-D/6-31G(2df,p)
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 1242 1242 253.49      
2 A1 834 834 252.62      
3 A1 759 759 73.75      
4 A1 591 591 11.53      
5 A1 398 398 60.13      
6 A2 382 382 0.00      
7 B1 1423 1423 233.45      
8 B1 565 565 36.41      
9 B1 96 96 41.77      
10 B2 820 820 398.58      
11 B2 645 645 1.46      
12 B2 472 472 0.36      

Unscaled Zero Point Vibrational Energy (zpe) 4112.9 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 4112.9 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 wB97X-D/6-31G(2df,p)
ABC
0.17811 0.08389 0.08272

See section I.F.4 to change rotational constant units
Geometric Data calculated at wB97X-D/6-31G(2df,p)

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 0.574
O3 0.000 1.198 -0.466
O4 0.000 -1.198 -0.466
O5 -1.234 0.000 1.295
O6 1.234 0.000 1.295

Atom - Atom Distances (Å)
  Mg1 S2 O3 O4 O5 O6
Mg12.44421.84591.84593.39783.3978
S22.44421.58621.58621.42981.4298
O31.84591.58622.39582.46182.4618
O41.84591.58622.39582.46182.4618
O53.39781.42982.46182.46182.4688
O63.39781.42982.46182.46182.4688

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 90.496 Mg1 O4 S2 90.496
O3 Mg1 O4 80.925 O3 S2 O4 98.083
O3 S2 O5 109.315 O3 S2 O6 109.315
O4 S2 O5 109.315 O4 S2 O6 109.315
O5 S2 O6 119.394
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at wB97X-D/6-31G(2df,p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 Mg 0.982      
2 S 0.628      
3 O -0.480      
4 O -0.480      
5 O -0.325      
6 O -0.325      


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 -12.618 12.618
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -45.261 0.000 0.000
y 0.000 -46.933 0.000
z 0.000 0.000 -17.762
Traceless
 xyz
x -12.914 0.000 0.000
y 0.000 -15.422 0.000
z 0.000 0.000 28.335
Polar
3z2-r256.670
x2-y21.672
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 5.654 0.000 0.000
y 0.000 4.978 0.000
z 0.000 0.000 7.529


<r2> (average value of r2) Å2
<r2> 147.795
(<r2>)1/2 12.157