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

using model chemistry: wB97X-D/aug-cc-pVTZ

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 1A1
Energy calculated at wB97X-D/aug-cc-pVTZ
 hartrees
Energy at 0K-899.215365
Energy at 298.15K-899.219094
HF Energy-899.215365
Nuclear repulsion energy 
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 wB97X-D/aug-cc-pVTZ
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 1218 1165 267.86      
2 A1 825 789 252.81      
3 A1 748 715 81.93      
4 A1 584 559 14.39      
5 A1 395 378 64.37      
6 A2 381 364 0.00      
7 B1 1385 1325 290.48      
8 B1 562 538 40.20      
9 B1 101 97 43.26      
10 B2 814 779 418.19      
11 B2 635 608 0.26      
12 B2 465 445 0.00      

Unscaled Zero Point Vibrational Energy (zpe) 4056.8 cm-1
Scaled (by 0.9566) Zero Point Vibrational Energy (zpe) 3880.7 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 wB97X-D/aug-cc-pVTZ
ABC
0.17752 0.08309 0.08185

See section I.F.4 to change rotational constant units
Geometric Data calculated at wB97X-D/aug-cc-pVTZ

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
Mg1 0.000 0.000 -1.881
S2 0.000 0.000 0.574
O3 0.000 1.198 -0.469
O4 0.000 -1.198 -0.469
O5 -1.238 0.000 1.306
O6 1.238 0.000 1.306

Atom - Atom Distances (Å)
  Mg1 S2 O3 O4 O5 O6
Mg12.45451.85141.85143.41823.4182
S22.45451.58891.58891.43791.4379
O31.85141.58892.39692.47372.4737
O41.85141.58892.39692.47372.4737
O53.41821.43792.47372.47372.4757
O63.41821.43792.47372.47372.4757

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 90.702 Mg1 O4 S2 90.702
O3 Mg1 O4 80.679 O3 S2 O4 97.917
O3 S2 O5 109.520 O3 S2 O6 109.520
O4 S2 O5 109.520 O4 S2 O6 109.520
O5 S2 O6 118.820
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at wB97X-D/aug-cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 Mg 1.036      
2 S 2.292      
3 O -0.805      
4 O -0.805      
5 O -0.859      
6 O -0.859      


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 -13.259 13.259
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -46.491 0.000 0.000
y 0.000 -47.918 0.000
z 0.000 0.000 -18.198
Traceless
 xyz
x -13.433 0.000 0.000
y 0.000 -15.573 0.000
z 0.000 0.000 29.006
Polar
3z2-r258.013
x2-y21.427
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 6.600 0.000 0.000
y 0.000 5.981 0.000
z 0.000 0.000 8.159


<r2> (average value of r2) Å2
<r2> 149.450
(<r2>)1/2 12.225