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

using model chemistry: B3PW91/6-311G*

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 1A1
Energy calculated at B3PW91/6-311G*
 hartrees
Energy at 0K-899.035142
Energy at 298.15K-899.038722
HF Energy-899.035142
Nuclear repulsion energy383.059618
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 B3PW91/6-311G*
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 1174 1130 267.52      
2 A1 772 743 303.81      
3 A1 741 713 18.54      
4 A1 569 548 9.54      
5 A1 385 370 52.33      
6 A2 354 341 0.00      
7 B1 1350 1300 254.47      
8 B1 535 515 43.08      
9 B1 107 103 41.74      
10 B2 760 731 350.22      
11 B2 609 587 16.98      
12 B2 454 437 0.88      

Unscaled Zero Point Vibrational Energy (zpe) 3904.1 cm-1
Scaled (by 0.9627) Zero Point Vibrational Energy (zpe) 3758.5 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 B3PW91/6-311G*
ABC
0.17313 0.08083 0.07980

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3PW91/6-311G*

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
Mg1 0.000 0.000 -1.906
S2 0.000 0.000 0.591
O3 0.000 1.217 -0.479
O4 0.000 -1.217 -0.479
O5 -1.251 0.000 1.318
O6 1.251 0.000 1.318

Atom - Atom Distances (Å)
  Mg1 S2 O3 O4 O5 O6
Mg12.49641.87471.87473.45813.4581
S22.49641.62021.62021.44681.4468
O31.87471.62022.43312.50512.5051
O41.87471.62022.43312.50512.5051
O53.45811.44682.50512.50512.5011
O63.45811.44682.50512.50512.5011

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 90.875 Mg1 O4 S2 90.875
O3 Mg1 O4 80.920 O3 S2 O4 97.331
O3 S2 O5 109.401 O3 S2 O6 109.401
O4 S2 O5 109.401 O4 S2 O6 109.401
O5 S2 O6 119.610
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3PW91/6-311G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 Mg 1.057      
2 S 1.229      
3 O -0.655      
4 O -0.655      
5 O -0.489      
6 O -0.489      


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 -12.858 12.858
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -46.704 0.000 0.000
y 0.000 -48.716 0.000
z 0.000 0.000 -18.735
Traceless
 xyz
x -12.978 0.000 0.000
y 0.000 -15.996 0.000
z 0.000 0.000 28.975
Polar
3z2-r257.950
x2-y22.012
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 5.659 0.000 0.000
y 0.000 4.730 0.000
z 0.000 0.000 8.510


<r2> (average value of r2) Å2
<r2> 153.117
(<r2>)1/2 12.374