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

using model chemistry: PBE1PBE/6-31G**

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 1A1
Energy calculated at PBE1PBE/6-31G**
 hartrees
Energy at 0K-898.556660
Energy at 298.15K-898.560277
HF Energy-898.556660
Nuclear repulsion energy383.958823
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 PBE1PBE/6-31G**
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 1194 1138 255.91      
2 A1 799 761 257.03      
3 A1 751 716 48.44      
4 A1 578 551 8.50      
5 A1 388 370 49.36      
6 A2 351 334 0.00      
7 B1 1371 1306 227.73      
8 B1 536 511 38.66      
9 B1 106 101 40.67      
10 B2 790 753 354.17      
11 B2 627 598 6.52      
12 B2 456 434 1.97      

Unscaled Zero Point Vibrational Energy (zpe) 3973.0 cm-1
Scaled (by 0.9531) Zero Point Vibrational Energy (zpe) 3786.7 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 PBE1PBE/6-31G**
ABC
0.17227 0.08178 0.08066

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBE1PBE/6-31G**

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
Mg1 0.000 0.000 -1.887
S2 0.000 0.000 0.582
O3 0.000 1.218 -0.479
O4 0.000 -1.218 -0.479
O5 -1.255 0.000 1.312
O6 1.255 0.000 1.312

Atom - Atom Distances (Å)
  Mg1 S2 O3 O4 O5 O6
Mg12.46911.86151.86153.43603.4360
S22.46911.61621.61621.45141.4514
O31.86151.61622.43692.50362.5036
O41.86151.61622.43692.50362.5036
O53.43601.45142.50362.50362.5095
O63.43601.45142.50362.50362.5095

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 90.185 Mg1 O4 S2 90.185
O3 Mg1 O4 81.771 O3 S2 O4 97.858
O3 S2 O5 109.284 O3 S2 O6 109.284
O4 S2 O5 109.284 O4 S2 O6 109.284
O5 S2 O6 119.645
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBE1PBE/6-31G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 Mg 0.994      
2 S 1.457      
3 O -0.712      
4 O -0.712      
5 O -0.513      
6 O -0.513      


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 -12.422 12.422
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -45.870 0.000 0.000
y 0.000 -47.784 0.000
z 0.000 0.000 -18.812
Traceless
 xyz
x -12.572 0.000 0.000
y 0.000 -15.443 0.000
z 0.000 0.000 28.015
Polar
3z2-r256.030
x2-y21.914
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 5.493 0.000 0.000
y 0.000 4.594 0.000
z 0.000 0.000 8.350


<r2> (average value of r2) Å2
<r2> 151.720
(<r2>)1/2 12.317