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

using model chemistry: HF/6-31+G**

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 1A1
Energy calculated at HF/6-31+G**
 hartrees
Energy at 0K-896.527747
Energy at 298.15K-896.531775
HF Energy-896.527747
Nuclear repulsion energy390.477985
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 HF/6-31+G**
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 1279 1156 359.17      
2 A1 930 841 241.11      
3 A1 819 740 128.86      
4 A1 639 578 9.96      
5 A1 429 388 77.94      
6 A2 419 379 0.00      
7 B1 1437 1300 403.27      
8 B1 626 566 74.46      
9 B1 119 107 46.81      
10 B2 928 839 507.81      
11 B2 704 636 9.92      
12 B2 501 453 0.01      

Unscaled Zero Point Vibrational Energy (zpe) 4414.8 cm-1
Scaled (by 0.9042) Zero Point Vibrational Energy (zpe) 3991.9 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 HF/6-31+G**
ABC
0.18324 0.08325 0.08157

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

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
Mg1 0.000 0.000 -1.899
S2 0.000 0.000 0.577
O3 0.000 1.172 -0.460
O4 0.000 -1.172 -0.460
O5 -1.226 0.000 1.307
O6 1.226 0.000 1.307

Atom - Atom Distances (Å)
  Mg1 S2 O3 O4 O5 O6
Mg12.47671.85591.85593.43253.4325
S22.47671.56501.56501.42651.4265
O31.85591.56502.34342.44902.4490
O41.85591.56502.34342.44902.4490
O53.43251.42652.44902.44902.4519
O63.43251.42652.44902.44902.4519

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 92.372 Mg1 O4 S2 92.372
O3 Mg1 O4 78.298 O3 S2 O4 96.957
O3 S2 O5 109.813 O3 S2 O6 109.813
O4 S2 O5 109.813 O4 S2 O6 109.813
O5 S2 O6 118.498
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HF/6-31+G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 Mg 1.119      
2 S 2.417      
3 O -0.959      
4 O -0.959      
5 O -0.809      
6 O -0.809      


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 -14.526 14.526
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -47.394 0.000 0.000
y 0.000 -48.532 0.000
z 0.000 0.000 -17.292
Traceless
 xyz
x -14.482 0.000 0.000
y 0.000 -16.189 0.000
z 0.000 0.000 30.671
Polar
3z2-r261.342
x2-y21.138
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 5.161 0.000 0.000
y 0.000 4.509 0.000
z 0.000 0.000 6.137


<r2> (average value of r2) Å2
<r2> 148.916
(<r2>)1/2 12.203