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

using model chemistry: TPSSh/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 TPSSh/6-31G(2df,p)
 hartrees
Energy at 0K-899.201119
Energy at 298.15K-899.204678
HF Energy-899.201119
Nuclear repulsion energy386.228040
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 TPSSh/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 1184 1143 217.17      
2 A1 774 747 277.64      
3 A1 749 723 4.26      
4 A1 568 548 8.03      
5 A1 383 369 44.40      
6 A2 350 338 0.00      
7 B1 1360 1312 181.32      
8 B1 524 506 25.45      
9 B1 92 89 36.31      
10 B2 765 738 318.22      
11 B2 618 596 26.97      
12 B2 458 442 1.81      

Unscaled Zero Point Vibrational Energy (zpe) 3912.0 cm-1
Scaled (by 0.965) Zero Point Vibrational Energy (zpe) 3775.1 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 TPSSh/6-31G(2df,p)
ABC
0.17371 0.08280 0.08191

See section I.F.4 to change rotational constant units
Geometric Data calculated at TPSSh/6-31G(2df,p)

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
Mg1 0.000 0.000 -1.871
S2 0.000 0.000 0.578
O3 0.000 1.217 -0.476
O4 0.000 -1.217 -0.476
O5 -1.246 0.000 1.302
O6 1.246 0.000 1.302

Atom - Atom Distances (Å)
  Mg1 S2 O3 O4 O5 O6
Mg12.44961.85161.85163.40903.4090
S22.44961.61071.61071.44061.4406
O31.85161.61072.43492.48922.4892
O41.85161.61072.43492.48922.4892
O53.40901.44062.48922.48922.4911
O63.40901.44062.48922.48922.4911

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 89.786 Mg1 O4 S2 89.786
O3 Mg1 O4 82.223 O3 S2 O4 98.204
O3 S2 O5 109.205 O3 S2 O6 109.205
O4 S2 O5 109.205 O4 S2 O6 109.205
O5 S2 O6 119.679
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at TPSSh/6-31G(2df,p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 Mg 0.923      
2 S 0.658      
3 O -0.478      
4 O -0.478      
5 O -0.313      
6 O -0.313      


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 -11.705 11.705
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 6.162 0.000 0.000
y 0.000 5.417 0.000
z 0.000 0.000 9.058


<r2> (average value of r2) Å2
<r2> 149.834
(<r2>)1/2 12.241