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

using model chemistry: BLYP/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 BLYP/6-31G*
 hartrees
Energy at 0K-899.081040
Energy at 298.15K-899.084174
HF Energy-899.081040
Nuclear repulsion energy374.700292
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 BLYP/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 1080 1071 184.89      
2 A1 702 696 95.33      
3 A1 659 653 145.64      
4 A1 521 517 16.01      
5 A1 358 355 31.08      
6 A2 290 287 0.00      
7 B1 1247 1237 132.39      
8 B1 461 458 17.59      
9 B1 101 100 31.82      
10 B2 683 678 171.46      
11 B2 508 504 73.32      
12 B2 412 409 4.14      

Unscaled Zero Point Vibrational Energy (zpe) 3510.4 cm-1
Scaled (by 0.9919) Zero Point Vibrational Energy (zpe) 3482.0 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 BLYP/6-31G*
ABC
0.16250 0.07820 0.07769

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

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 0.600
O3 0.000 1.264 -0.509
O4 0.000 -1.264 -0.509
O5 -1.282 0.000 1.340
O6 1.282 0.000 1.340

Atom - Atom Distances (Å)
  Mg1 S2 O3 O4 O5 O6
Mg12.50631.88451.88453.49043.4904
S22.50631.68201.68201.48041.4804
O31.88451.68202.52902.58112.5811
O41.88451.68202.52902.58112.5811
O53.49041.48042.58112.58112.5642
O63.49041.48042.58112.58112.5642

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 89.109 Mg1 O4 S2 89.109
O3 Mg1 O4 84.289 O3 S2 O4 97.494
O3 S2 O5 109.246 O3 S2 O6 109.246
O4 S2 O5 109.246 O4 S2 O6 109.246
O5 S2 O6 120.012
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at BLYP/6-31G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 Mg 0.848      
2 S 1.315      
3 O -0.629      
4 O -0.629      
5 O -0.452      
6 O -0.452      


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 -10.854 10.854
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -45.964 0.000 0.000
y 0.000 -48.227 0.000
z 0.000 0.000 -21.199
Traceless
 xyz
x -11.250 0.000 0.000
y 0.000 -14.646 0.000
z 0.000 0.000 25.896
Polar
3z2-r251.793
x2-y22.264
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 6.606 0.000 0.000
y 0.000 5.482 0.000
z 0.000 0.000 11.224


<r2> (average value of r2) Å2
<r2> 158.155
(<r2>)1/2 12.576