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

using model chemistry: B97D3/3-21G*

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 1A1
Energy calculated at B97D3/3-21G*
 hartrees
Energy at 0K-894.379169
Energy at 298.15K-894.382504
HF Energy-894.379169
Nuclear repulsion energy378.080778
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 B97D3/3-21G*
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 1131 1131 196.19      
2 A1 734 734 110.15      
3 A1 700 700 150.22      
4 A1 537 537 8.37      
5 A1 368 368 32.23      
6 A2 320 320 0.00      
7 B1 1320 1320 112.38      
8 B1 476 476 20.59      
9 B1 101 101 34.24      
10 B2 714 714 175.75      
11 B2 562 562 71.10      
12 B2 432 432 6.07      

Unscaled Zero Point Vibrational Energy (zpe) 3696.6 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 3696.6 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 B97D3/3-21G*
ABC
0.16531 0.07975 0.07898

See section I.F.4 to change rotational constant units
Geometric Data calculated at B97D3/3-21G*

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
Mg1 0.000 0.000 -1.892
S2 0.000 0.000 0.594
O3 0.000 1.250 -0.501
O4 0.000 -1.250 -0.501
O5 -1.275 0.000 1.326
O6 1.275 0.000 1.326

Atom - Atom Distances (Å)
  Mg1 S2 O3 O4 O5 O6
Mg12.48601.87011.87013.46163.4616
S22.48601.66141.66141.47041.4704
O31.87011.66142.49932.55452.5545
O41.87011.66142.49932.55452.5545
O53.46161.47042.55452.55452.5503
O63.46161.47042.55452.55452.5503

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 89.289 Mg1 O4 S2 89.289
O3 Mg1 O4 83.862 O3 S2 O4 97.560
O3 S2 O5 109.154 O3 S2 O6 109.154
O4 S2 O5 109.154 O4 S2 O6 109.154
O5 S2 O6 120.273
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B97D3/3-21G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 Mg 0.680      
2 S 1.224      
3 O -0.525      
4 O -0.525      
5 O -0.427      
6 O -0.427      


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 -10.748 10.748
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -45.511 0.000 0.000
y 0.000 -47.951 0.000
z 0.000 0.000 -20.649
Traceless
 xyz
x -11.210 0.000 0.000
y 0.000 -14.872 0.000
z 0.000 0.000 26.082
Polar
3z2-r252.164
x2-y22.441
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 5.950 0.000 0.000
y 0.000 4.662 0.000
z 0.000 0.000 10.460


<r2> (average value of r2) Å2
<r2> 155.516
(<r2>)1/2 12.471