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

using model chemistry: B3PW91/6-31G(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 B3PW91/6-31G(2df,p)
 hartrees
Energy at 0K-898.990574
Energy at 298.15K-898.994237
HF Energy-898.990574
Nuclear repulsion energy388.077506
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 B3PW91/6-31G(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 1211 1164 232.32      
2 A1 802 771 269.91      
3 A1 763 733 28.85      
4 A1 583 560 8.07      
5 A1 392 377 49.01      
6 A2 366 352 0.00      
7 B1 1387 1334 200.59      
8 B1 544 523 29.45      
9 B1 95 91 37.93      
10 B2 791 761 351.36      
11 B2 637 613 13.62      
12 B2 470 452 1.49      

Unscaled Zero Point Vibrational Energy (zpe) 4020.0 cm-1
Scaled (by 0.9614) Zero Point Vibrational Energy (zpe) 3864.9 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 B3PW91/6-31G(2df,p)
ABC
0.17595 0.08346 0.08246

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3PW91/6-31G(2df,p)

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
Mg1 0.000 0.000 -1.868
S2 0.000 0.000 0.575
O3 0.000 1.208 -0.472
O4 0.000 -1.208 -0.472
O5 -1.239 0.000 1.298
O6 1.239 0.000 1.298

Atom - Atom Distances (Å)
  Mg1 S2 O3 O4 O5 O6
Mg12.44311.84641.84643.40023.4002
S22.44311.59831.59831.43481.4348
O31.84641.59832.41592.47532.4753
O41.84641.59832.41592.47532.4753
O53.40021.43482.47532.47532.4786
O63.40021.43482.47532.47532.4786

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 90.048 Mg1 O4 S2 90.048
O3 Mg1 O4 81.720 O3 S2 O4 98.183
O3 S2 O5 109.271 O3 S2 O6 109.271
O4 S2 O5 109.271 O4 S2 O6 109.271
O5 S2 O6 119.472
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3PW91/6-31G(2df,p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 Mg 0.952      
2 S 0.628      
3 O -0.476      
4 O -0.476      
5 O -0.314      
6 O -0.314      


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 -12.042 12.042
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -45.155 0.000 0.000
y 0.000 -46.851 0.000
z 0.000 0.000 -18.736
Traceless
 xyz
x -12.361 0.000 0.000
y 0.000 -14.906 0.000
z 0.000 0.000 27.267
Polar
3z2-r254.535
x2-y21.697
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 5.914 0.000 0.000
y 0.000 5.188 0.000
z 0.000 0.000 8.553


<r2> (average value of r2) Å2
<r2> 148.666
(<r2>)1/2 12.193