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

using model chemistry: PBE1PBE/6-311G*

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/6-311G*
 hartrees
Energy at 0K-898.668454
Energy at 298.15K-898.672088
HF Energy-898.668454
Nuclear repulsion energy384.356151
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/6-311G*
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 1193 1143 272.12      
2 A1 794 761 283.69      
3 A1 750 719 41.17      
4 A1 577 553 7.88      
5 A1 389 373 53.32      
6 A2 360 345 0.00      
7 B1 1370 1313 261.29      
8 B1 543 521 44.58      
9 B1 107 103 41.57      
10 B2 776 744 363.43      
11 B2 625 599 8.43      
12 B2 459 440 0.93      

Unscaled Zero Point Vibrational Energy (zpe) 3970.1 cm-1
Scaled (by 0.9585) Zero Point Vibrational Energy (zpe) 3805.4 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 PBE1PBE/6-311G*
ABC
0.17438 0.08135 0.08027

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBE1PBE/6-311G*

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
Mg1 0.000 0.000 -1.902
S2 0.000 0.000 0.588
O3 0.000 1.211 -0.475
O4 0.000 -1.211 -0.475
O5 -1.247 0.000 1.314
O6 1.247 0.000 1.314

Atom - Atom Distances (Å)
  Mg1 S2 O3 O4 O5 O6
Mg12.49011.87161.87163.44923.4492
S22.49011.61171.61171.44281.4428
O31.87161.61172.42252.49462.4946
O41.87161.61172.42252.49462.4946
O53.44921.44282.49462.49462.4938
O63.44921.44282.49462.49462.4938

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 90.951 Mg1 O4 S2 90.951
O3 Mg1 O4 80.657 O3 S2 O4 97.441
O3 S2 O5 109.384 O3 S2 O6 109.384
O4 S2 O5 109.384 O4 S2 O6 109.384
O5 S2 O6 119.591
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBE1PBE/6-311G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 Mg 1.062      
2 S 1.226      
3 O -0.655      
4 O -0.655      
5 O -0.489      
6 O -0.489      


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 -12.903 12.903
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -46.729 0.000 0.000
y 0.000 -48.660 0.000
z 0.000 0.000 -18.834
Traceless
 xyz
x -12.982 0.000 0.000
y 0.000 -15.878 0.000
z 0.000 0.000 28.860
Polar
3z2-r257.721
x2-y21.931
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 5.566 0.000 0.000
y 0.000 4.664 0.000
z 0.000 0.000 8.305


<r2> (average value of r2) Å2
<r2> 152.313
(<r2>)1/2 12.342