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

using model chemistry: PBEPBE/cc-pVTZ

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 1A1
Energy calculated at PBEPBE/cc-pVTZ
 hartrees
Energy at 0K-898.734204
Energy at 298.15K-898.737593
HF Energy-898.734204
Nuclear repulsion energy381.229583
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 PBEPBE/cc-pVTZ
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 1132 1124 201.60      
2 A1 731 726 223.51      
3 A1 710 705 35.15      
4 A1 543 540 9.23      
5 A1 369 367 38.61      
6 A2 326 323 0.00      
7 B1 1295 1287 167.16      
8 B1 495 491 19.37      
9 B1 90 90 33.26      
10 B2 717 712 260.45      
11 B2 574 570 46.66      
12 B2 438 435 1.96      

Unscaled Zero Point Vibrational Energy (zpe) 3709.4 cm-1
Scaled (by 0.9931) Zero Point Vibrational Energy (zpe) 3683.8 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 PBEPBE/cc-pVTZ
ABC
0.16862 0.08084 0.08016

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBE/cc-pVTZ

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
Mg1 0.000 0.000 -1.885
S2 0.000 0.000 0.583
O3 0.000 1.239 -0.489
O4 0.000 -1.239 -0.489
O5 -1.261 0.000 1.319
O6 1.261 0.000 1.319

Atom - Atom Distances (Å)
  Mg1 S2 O3 O4 O5 O6
Mg12.46841.86681.86683.44373.4437
S22.46841.63821.63821.46021.4602
O31.86681.63822.47772.52862.5286
O41.86681.63822.47772.52862.5286
O53.44371.46022.52862.52862.5222
O63.44371.46022.52862.52862.5222

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 89.290 Mg1 O4 S2 89.290
O3 Mg1 O4 83.153 O3 S2 O4 98.267
O3 S2 O5 109.259 O3 S2 O6 109.259
O4 S2 O5 109.259 O4 S2 O6 109.259
O5 S2 O6 119.456
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 Mg 0.746      
2 S 0.929      
3 O -0.432      
4 O -0.432      
5 O -0.405      
6 O -0.405      


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 -11.521 11.521
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -46.018 0.000 0.000
y 0.000 -47.756 0.000
z 0.000 0.000 -20.659
Traceless
 xyz
x -11.810 0.000 0.000
y 0.000 -14.418 0.000
z 0.000 0.000 26.228
Polar
3z2-r252.456
x2-y21.738
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 6.816 0.000 0.000
y 0.000 5.815 0.000
z 0.000 0.000 10.618


<r2> (average value of r2) Å2
<r2> 153.586
(<r2>)1/2 12.393