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

using model chemistry: B2PLYP/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 B2PLYP/6-31+G**
 hartrees
Energy at 0K-898.630285
Energy at 298.15K-898.633790
HF Energy-898.319658
Nuclear repulsion energy380.415196
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 B2PLYP/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 1139 1084 261.06      
2 A1 749 713 320.89      
3 A1 724 690 5.07      
4 A1 559 533 13.44      
5 A1 378 360 50.51      
6 A2 344 328 0.00      
7 B1 1304 1242 252.83      
8 B1 519 494 39.34      
9 B1 109 104 40.64      
10 B2 740 705 354.97      
11 B2 598 569 27.68      
12 B2 447 425 0.75      

Unscaled Zero Point Vibrational Energy (zpe) 3804.4 cm-1
Scaled (by 0.9524) Zero Point Vibrational Energy (zpe) 3623.3 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 B2PLYP/6-31+G**
ABC
0.16984 0.08007 0.07903

See section I.F.4 to change rotational constant units
Geometric Data calculated at B2PLYP/6-31+G**

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
Mg1 0.000 0.000 -1.907
S2 0.000 0.000 0.590
O3 0.000 1.228 -0.488
O4 0.000 -1.228 -0.488
O5 -1.263 0.000 1.327
O6 1.263 0.000 1.327

Atom - Atom Distances (Å)
  Mg1 S2 O3 O4 O5 O6
Mg12.49671.87661.87663.47173.4717
S22.49671.63401.63401.46221.4622
O31.87661.63402.45632.52932.5293
O41.87661.63402.45632.52932.5293
O53.47171.46222.52932.52932.5255
O63.47171.46222.52932.52932.5255

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 90.391 Mg1 O4 S2 90.391
O3 Mg1 O4 81.755 O3 S2 O4 97.463
O3 S2 O5 109.426 O3 S2 O6 109.426
O4 S2 O5 109.426 O4 S2 O6 109.426
O5 S2 O6 119.439
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B2PLYP/6-31+G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 Mg 0.930      
2 S 1.798      
3 O -0.747      
4 O -0.747      
5 O -0.617      
6 O -0.617      


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 -12.761 12.761
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -47.650 0.000 0.000
y 0.000 -49.584 0.000
z 0.000 0.000 -19.548
Traceless
 xyz
x -13.084 0.000 0.000
y 0.000 -15.984 0.000
z 0.000 0.000 29.069
Polar
3z2-r258.137
x2-y21.933
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 6.828 0.000 0.000
y 0.000 5.899 -0.000
z 0.000 -0.000 9.332


<r2> (average value of r2) Å2
<r2> 155.146
(<r2>)1/2 12.456