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

using model chemistry: HF/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 HF/STO-3G
 hartrees
Energy at 0K-885.387079
Energy at 298.15K-885.389188
HF Energy-885.387079
Nuclear repulsion energy355.382647
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/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 956 780 118.93      
2 A1 896 732 0.30      
3 A1 545 445 6.03      
4 A1 438 358 7.01      
5 A1 161 131 21.94      
6 A2 246 201 0.00      
7 B1 605 494 10.00      
8 B1 346 282 84.87      
9 B1 67 55 33.15      
10 B2 907 741 3.13      
11 B2 894 730 25.25      
12 B2 234 191 5.26      

Unscaled Zero Point Vibrational Energy (zpe) 3147.4 cm-1
Scaled (by 0.8165) Zero Point Vibrational Energy (zpe) 2569.9 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/STO-3G
ABC
0.12648 0.08047 0.06929

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

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
Mg1 0.000 0.000 -1.832
S2 0.000 0.000 0.614
O3 0.000 1.247 -0.572
O4 0.000 -1.247 -0.572
O5 -1.616 0.000 1.332
O6 1.616 0.000 1.332

Atom - Atom Distances (Å)
  Mg1 S2 O3 O4 O5 O6
Mg12.44591.77251.77253.55233.5523
S22.44591.72111.72111.76821.7682
O31.77251.72112.49392.79122.7912
O41.77251.72112.49392.79122.7912
O53.55231.76822.79122.79123.2321
O63.55231.76822.79122.79123.2321

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 88.861 Mg1 O4 S2 88.861
O3 Mg1 O4 89.421 O3 S2 O4 92.858
O3 S2 O5 106.243 O3 S2 O6 106.243
O4 S2 O5 106.243 O4 S2 O6 106.243
O5 S2 O6 132.115
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HF/STO-3G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 Mg 1.072      
2 S 0.658      
3 O -0.481      
4 O -0.481      
5 O -0.384      
6 O -0.384      


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 -11.695 11.695
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -42.503 0.000 0.000
y 0.000 -41.519 0.000
z 0.000 0.000 -17.919
Traceless
 xyz
x -12.784 0.000 0.000
y 0.000 -11.308 0.000
z 0.000 0.000 24.092
Polar
3z2-r248.184
x2-y2-0.984
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.559 0.000 0.000
y 0.000 2.313 0.000
z 0.000 0.000 5.629


<r2> (average value of r2) Å2
<r2> 167.798
(<r2>)1/2 12.954