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

using model chemistry: B3LYP/3-21G*

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 1A1
Energy calculated at B3LYP/3-21G*
 hartrees
Energy at 0K-894.562620
Energy at 298.15K-894.566187
HF Energy-894.562620
Nuclear repulsion energy381.725098
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 B3LYP/3-21G*
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 1173 1128 217.63      
2 A1 772 742 160.98      
3 A1 753 724 128.15      
4 A1 566 545 5.07      
5 A1 386 371 37.01      
6 A2 348 335 0.00      
7 B1 1363 1311 154.75      
8 B1 512 493 36.03      
9 B1 113 109 36.75      
10 B2 758 729 239.00      
11 B2 617 594 45.53      
12 B2 452 435 5.94      

Unscaled Zero Point Vibrational Energy (zpe) 3905.8 cm-1
Scaled (by 0.962) Zero Point Vibrational Energy (zpe) 3757.4 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 B3LYP/3-21G*
ABC
0.16967 0.08115 0.07998

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/3-21G*

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
Mg1 0.000 0.000 -1.882
S2 0.000 0.000 0.590
O3 0.000 1.227 -0.497
O4 0.000 -1.227 -0.497
O5 -1.265 0.000 1.318
O6 1.265 0.000 1.318

Atom - Atom Distances (Å)
  Mg1 S2 O3 O4 O5 O6
Mg12.47261.85051.85053.44113.4411
S22.47261.63941.63941.45941.4594
O31.85051.63942.45382.52972.5297
O41.85051.63942.45382.52972.5297
O53.44111.45942.52972.52972.5302
O63.44111.45942.52972.52972.5302

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 90.016 Mg1 O4 S2 90.016
O3 Mg1 O4 83.060 O3 S2 O4 96.907
O3 S2 O5 109.306 O3 S2 O6 109.306
O4 S2 O5 109.306 O4 S2 O6 109.306
O5 S2 O6 120.199
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/3-21G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 Mg 0.699      
2 S 1.277      
3 O -0.543      
4 O -0.543      
5 O -0.445      
6 O -0.445      


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 -11.129 11.129
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -45.746 0.000 0.000
y 0.000 -47.958 0.000
z 0.000 0.000 -20.455
Traceless
 xyz
x -11.539 0.000 0.000
y 0.000 -14.858 0.000
z 0.000 0.000 26.397
Polar
3z2-r252.794
x2-y22.212
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 5.256 0.000 0.000
y 0.000 4.216 0.000
z 0.000 0.000 8.952


<r2> (average value of r2) Å2
<r2> 153.289
(<r2>)1/2 12.381