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

using model chemistry: mPW1PW91/6-31+G**

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 1A1
Energy calculated at mPW1PW91/6-31+G**
 hartrees
Energy at 0K-899.057562
Energy at 298.15K-899.061170
HF Energy-899.057562
Nuclear repulsion energy383.504581
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 mPW1PW91/6-31+G**
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 1177 1121 272.94      
2 A1 790 752 275.78      
3 A1 748 712 45.96      
4 A1 573 545 10.40      
5 A1 385 366 53.31      
6 A2 355 338 0.00      
7 B1 1342 1277 273.85      
8 B1 535 509 41.63      
9 B1 105 100 41.32      
10 B2 782 745 394.26      
11 B2 626 596 5.98      
12 B2 456 434 0.63      

Unscaled Zero Point Vibrational Energy (zpe) 3936.6 cm-1
Scaled (by 0.9518) Zero Point Vibrational Energy (zpe) 3746.8 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 mPW1PW91/6-31+G**
ABC
0.17294 0.08131 0.08013

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/6-31+G**

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
Mg1 0.000 0.000 -1.896
S2 0.000 0.000 0.584
O3 0.000 1.215 -0.480
O4 0.000 -1.215 -0.480
O5 -1.253 0.000 1.318
O6 1.253 0.000 1.318

Atom - Atom Distances (Å)
  Mg1 S2 O3 O4 O5 O6
Mg12.48001.86611.86613.45043.4504
S22.48001.61471.61471.45291.4529
O31.86611.61472.42992.50622.5062
O41.86611.61472.42992.50622.5062
O53.45041.45292.50622.50622.5069
O63.45041.45292.50622.50622.5069

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 90.578 Mg1 O4 S2 90.578
O3 Mg1 O4 81.244 O3 S2 O4 97.599
O3 S2 O5 109.455 O3 S2 O6 109.455
O4 S2 O5 109.455 O4 S2 O6 109.455
O5 S2 O6 119.251
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/6-31+G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 Mg 0.934      
2 S 1.730      
3 O -0.729      
4 O -0.729      
5 O -0.603      
6 O -0.603      


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 -12.995 12.995
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -47.040 0.000 0.000
y 0.000 -48.748 0.000
z 0.000 0.000 -18.879
Traceless
 xyz
x -13.227 0.000 0.000
y 0.000 -15.788 0.000
z 0.000 0.000 29.015
Polar
3z2-r258.030
x2-y21.708
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 6.518 0.000 0.000
y 0.000 5.607 0.000
z 0.000 0.000 8.710


<r2> (average value of r2) Å2
<r2> 152.723
(<r2>)1/2 12.358