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

using model chemistry: LSDA/STO-3G

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 1A1
Energy calculated at LSDA/STO-3G
 hartrees
Energy at 0K-884.560908
Energy at 298.15K-884.563056
HF Energy-884.560908
Nuclear repulsion energy355.129371
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 LSDA/STO-3G
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 965 864 67.89      
2 A1 845 757 40.04      
3 A1 577 517 83.68      
4 A1 412 369 11.33      
5 A1 258 231 13.88      
6 A2 189 169 0.00      
7 B1 1090 976 33.54      
8 B1 307 275 26.17      
9 B1 99 88 19.64      
10 B2 890 797 33.86      
11 B2 472 423 49.08      
12 B2 270 242 1.52      

Unscaled Zero Point Vibrational Energy (zpe) 3186.8 cm-1
Scaled (by 0.8955) Zero Point Vibrational Energy (zpe) 2853.8 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 LSDA/STO-3G
ABC
0.13686 0.07326 0.07252

See section I.F.4 to change rotational constant units
Geometric Data calculated at LSDA/STO-3G

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
Mg1 0.000 0.000 -1.816
S2 0.000 0.000 0.623
O3 0.000 1.374 -0.672
O4 0.000 -1.374 -0.672
O5 -1.401 0.000 1.412
O6 1.401 0.000 1.412

Atom - Atom Distances (Å)
  Mg1 S2 O3 O4 O5 O6
Mg12.43861.78791.78793.51833.5183
S22.43861.88831.88831.60751.6075
O31.78791.88832.74852.86232.8623
O41.78791.88832.74852.86232.8623
O53.51831.60752.86232.86232.8012
O63.51831.60752.86232.86232.8012

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 83.064 Mg1 O4 S2 83.064
O3 Mg1 O4 100.467 O3 S2 O4 93.404
O3 S2 O5 109.667 O3 S2 O6 109.667
O4 S2 O5 109.667 O4 S2 O6 109.667
O5 S2 O6 121.219
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at LSDA/STO-3G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 Mg 0.677      
2 S 0.697      
3 O -0.368      
4 O -0.368      
5 O -0.319      
6 O -0.319      


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 -6.820 6.820
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -39.554 0.000 0.000
y 0.000 -41.326 0.000
z 0.000 0.000 -24.181
Traceless
 xyz
x -6.800 0.000 0.000
y 0.000 -9.459 0.000
z 0.000 0.000 16.259
Polar
3z2-r232.519
x2-y21.773
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.820 0.000 0.000
y 0.000 3.125 0.000
z 0.000 0.000 7.666


<r2> (average value of r2) Å2
<r2> 168.363
(<r2>)1/2 12.975