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

using model chemistry: B97D3/aug-cc-pVDZ

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/aug-cc-pVDZ
 hartrees
Energy at 0K-899.014672
Energy at 298.15K-899.017876
HF Energy-899.014672
Nuclear repulsion energy374.360987
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/aug-cc-pVDZ
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 1061 1061 209.65      
2 A1 697 697 148.02      
3 A1 666 666 111.78      
4 A1 515 515 19.02      
5 A1 349 349 39.33      
6 A2 302 302 0.00      
7 B1 1213 1213 188.89      
8 B1 464 464 22.19      
9 B1 98 98 36.79      
10 B2 691 691 258.61      
11 B2 536 536 60.10      
12 B2 415 415 0.90      

Unscaled Zero Point Vibrational Energy (zpe) 3503.8 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 3503.8 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/aug-cc-pVDZ
ABC
0.16258 0.07812 0.07734

See section I.F.4 to change rotational constant units
Geometric Data calculated at B97D3/aug-cc-pVDZ

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
Mg1 0.000 0.000 -1.909
S2 0.000 0.000 0.597
O3 0.000 1.260 -0.511
O4 0.000 -1.260 -0.511
O5 -1.286 0.000 1.345
O6 1.286 0.000 1.345

Atom - Atom Distances (Å)
  Mg1 S2 O3 O4 O5 O6
Mg12.50551.88191.88193.49933.4993
S22.50551.67721.67721.48831.4883
O31.88191.67722.51932.58582.5858
O41.88191.67722.51932.58582.5858
O53.49931.48832.58582.58582.5726
O63.49931.48832.58582.58582.5726

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 89.302 Mg1 O4 S2 89.302
O3 Mg1 O4 84.036 O3 S2 O4 97.360
O3 S2 O5 109.399 O3 S2 O6 109.399
O4 S2 O5 109.399 O4 S2 O6 109.399
O5 S2 O6 119.596
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B97D3/aug-cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 Mg 1.225      
2 S 2.173      
3 O -0.950      
4 O -0.950      
5 O -0.749      
6 O -0.749      


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 -11.905 11.905
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -47.097 0.000 0.000
y 0.000 -48.968 0.000
z 0.000 0.000 -20.067
Traceless
 xyz
x -12.580 0.000 0.000
y 0.000 -15.386 0.000
z 0.000 0.000 27.966
Polar
3z2-r255.931
x2-y21.871
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 7.919 0.000 0.000
y 0.000 7.027 0.000
z 0.000 0.000 11.522


<r2> (average value of r2) Å2
<r2> 158.597
(<r2>)1/2 12.594