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

using model chemistry: B97D3/6-31G*

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 1A1
Energy calculated at B97D3/6-31G*
 hartrees
Energy at 0K-898.934299
Energy at 298.15K-898.937578
HF Energy-898.934299
Nuclear repulsion energy377.882124
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 B97D3/6-31G*
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 1114 1093 210.65      
2 A1 712 698 219.80      
3 A1 692 678 47.12      
4 A1 538 527 14.41      
5 A1 366 359 38.57      
6 A2 314 308 0.00      
7 B1 1288 1262 161.63      
8 B1 486 477 22.18      
9 B1 99 97 36.55      
10 B2 705 691 245.50      
11 B2 547 536 51.25      
12 B2 426 417 3.21      

Unscaled Zero Point Vibrational Energy (zpe) 3642.8 cm-1
Scaled (by 0.9804) Zero Point Vibrational Energy (zpe) 3571.4 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 B97D3/6-31G*
ABC
0.16579 0.07937 0.07871

See section I.F.4 to change rotational constant units
Geometric Data calculated at B97D3/6-31G*

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
Mg1 0.000 0.000 -1.903
S2 0.000 0.000 0.593
O3 0.000 1.250 -0.495
O4 0.000 -1.250 -0.495
O5 -1.272 0.000 1.329
O6 1.272 0.000 1.329

Atom - Atom Distances (Å)
  Mg1 S2 O3 O4 O5 O6
Mg12.49661.88321.88323.47333.4733
S22.49661.65681.65681.46901.4690
O31.88321.65682.49932.55012.5501
O41.88321.65682.49932.55012.5501
O53.47331.46902.55012.55012.5431
O63.47331.46902.55012.55012.5431

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 89.464 Mg1 O4 S2 89.464
O3 Mg1 O4 83.148 O3 S2 O4 97.924
O3 S2 O5 109.194 O3 S2 O6 109.194
O4 S2 O5 109.194 O4 S2 O6 109.194
O5 S2 O6 119.903
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B97D3/6-31G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 Mg 0.923      
2 S 1.352      
3 O -0.667      
4 O -0.667      
5 O -0.470      
6 O -0.470      


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 -11.606 11.606
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -45.672 0.000 0.000
y 0.000 -47.979 0.000
z 0.000 0.000 -19.522
Traceless
 xyz
x -11.921 0.000 0.000
y 0.000 -15.382 0.000
z 0.000 0.000 27.303
Polar
3z2-r254.605
x2-y22.307
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 6.352 0.000 0.000
y 0.000 5.207 0.000
z 0.000 0.000 10.412


<r2> (average value of r2) Å2
<r2> 155.684
(<r2>)1/2 12.477