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

using model chemistry: HF/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 HF/6-31G(2df,p)
 hartrees
Energy at 0K-896.600710
Energy at 298.15K-896.604819
HF Energy-896.600710
Nuclear repulsion energy395.696586
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/6-31G(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 1329 1203 321.74      
2 A1 960 870 242.74      
3 A1 840 761 122.99      
4 A1 658 596 7.82      
5 A1 440 398 72.91      
6 A2 431 391 0.00      
7 B1 1497 1356 340.51      
8 B1 640 580 59.83      
9 B1 112 102 44.91      
10 B2 949 859 480.51      
11 B2 729 660 6.04      
12 B2 521 472 0.11      

Unscaled Zero Point Vibrational Energy (zpe) 4553.7 cm-1
Scaled (by 0.9055) Zero Point Vibrational Energy (zpe) 4123.3 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/6-31G(2df,p)
ABC
0.18711 0.08564 0.08414

See section I.F.4 to change rotational constant units
Geometric Data calculated at HF/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 0.568
O3 0.000 1.163 -0.451
O4 0.000 -1.163 -0.451
O5 -1.210 0.000 1.286
O6 1.210 0.000 1.286

Atom - Atom Distances (Å)
  Mg1 S2 O3 O4 O5 O6
Mg12.43761.83531.83533.37963.3796
S22.43761.54591.54591.40671.4067
O31.83531.54592.32662.41472.4147
O41.83531.54592.32662.41472.4147
O53.37961.40672.41472.41472.4192
O63.37961.40672.41472.41472.4192

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 91.857 Mg1 O4 S2 91.857
O3 Mg1 O4 78.672 O3 S2 O4 97.614
O3 S2 O5 109.646 O3 S2 O6 109.646
O4 S2 O5 109.646 O4 S2 O6 109.646
O5 S2 O6 118.608
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HF/6-31G(2df,p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 Mg 1.293      
2 S 0.941      
3 O -0.673      
4 O -0.673      
5 O -0.444      
6 O -0.444      


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 -13.745 13.745
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -45.654 0.000 0.000
y 0.000 -46.788 0.000
z 0.000 0.000 -16.999
Traceless
 xyz
x -13.761 0.000 0.000
y 0.000 -15.462 0.000
z 0.000 0.000 29.223
Polar
3z2-r258.445
x2-y21.134
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 4.688 0.000 0.000
y 0.000 4.239 0.000
z 0.000 0.000 5.831


<r2> (average value of r2) Å2
<r2> 144.661
(<r2>)1/2 12.028