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

using model chemistry: B3PW91/3-21G*

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 1A1
Energy calculated at B3PW91/3-21G*
 hartrees
Energy at 0K-894.360044
Energy at 298.15K-894.363671
HF Energy-894.360044
Nuclear repulsion energy383.031897
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 B3PW91/3-21G*
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 1196 1148 242.66      
2 A1 785 753 287.07      
3 A1 767 736 13.35      
4 A1 574 550 4.64      
5 A1 389 373 41.92      
6 A2 358 343 0.00      
7 B1 1389 1332 174.53      
8 B1 524 503 38.99      
9 B1 111 106 39.70      
10 B2 779 747 294.83      
11 B2 635 610 19.96      
12 B2 458 439 4.65      

Unscaled Zero Point Vibrational Energy (zpe) 3981.7 cm-1
Scaled (by 0.9594) Zero Point Vibrational Energy (zpe) 3820.0 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 B3PW91/3-21G*
ABC
0.17102 0.08163 0.08041

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3PW91/3-21G*

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
Mg1 0.000 0.000 -1.881
S2 0.000 0.000 0.586
O3 0.000 1.221 -0.489
O4 0.000 -1.221 -0.489
O5 -1.261 0.000 1.314
O6 1.261 0.000 1.314

Atom - Atom Distances (Å)
  Mg1 S2 O3 O4 O5 O6
Mg12.46791.85181.85183.43523.4352
S22.46791.62761.62761.45571.4557
O31.85181.62762.44242.51672.5167
O41.85181.62762.44242.51672.5167
O53.43521.45572.51672.51672.5218
O63.43521.45572.51672.51672.5218

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 90.119 Mg1 O4 S2 90.119
O3 Mg1 O4 82.522 O3 S2 O4 97.239
O3 S2 O5 109.291 O3 S2 O6 109.291
O4 S2 O5 109.291 O4 S2 O6 109.291
O5 S2 O6 120.031
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3PW91/3-21G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 Mg 0.740      
2 S 1.286      
3 O -0.557      
4 O -0.557      
5 O -0.455      
6 O -0.455      


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 -11.647 11.647
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -45.608 0.000 0.000
y 0.000 -47.784 0.000
z 0.000 0.000 -19.479
Traceless
 xyz
x -11.976 0.000 0.000
y 0.000 -15.241 0.000
z 0.000 0.000 27.217
Polar
3z2-r254.434
x2-y22.176
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 5.105 0.000 0.000
y 0.000 4.025 0.000
z 0.000 0.000 8.397


<r2> (average value of r2) Å2
<r2> 152.238
(<r2>)1/2 12.338