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

using model chemistry: PBEPBEultrafine/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 PBEPBEultrafine/aug-cc-pVTZ
 hartrees
Energy at 0K-898.742936
Energy at 298.15K-898.746315
HF Energy-898.742936
Nuclear repulsion energy381.013411
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 PBEPBEultrafine/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 1120 1108 210.68      
2 A1 726 718 237.66      
3 A1 706 698 24.67      
4 A1 540 534 10.84      
5 A1 367 363 40.51      
6 A2 326 322 0.00      
7 B1 1279 1265 195.46      
8 B1 493 488 20.35      
9 B1 93 92 34.55      
10 B2 714 706 275.55      
11 B2 573 567 43.78      
12 B2 436 431 1.16      

Unscaled Zero Point Vibrational Energy (zpe) 3686.1 cm-1
Scaled (by 0.9888) Zero Point Vibrational Energy (zpe) 3644.8 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 PBEPBEultrafine/aug-cc-pVTZ
ABC
0.16880 0.08067 0.07994

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

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
Mg1 0.000 0.000 -1.889
S2 0.000 0.000 0.583
O3 0.000 1.237 -0.489
O4 0.000 -1.237 -0.489
O5 -1.261 0.000 1.322
O6 1.261 0.000 1.322

Atom - Atom Distances (Å)
  Mg1 S2 O3 O4 O5 O6
Mg12.47171.86821.86823.44963.4496
S22.47171.63711.63711.46181.4618
O31.86821.63712.47472.53022.5302
O41.86821.63712.47472.53022.5302
O53.44961.46182.53022.53022.5225
O63.44961.46182.53022.53022.5225

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 89.428 Mg1 O4 S2 89.428
O3 Mg1 O4 82.954 O3 S2 O4 98.191
O3 S2 O5 109.333 O3 S2 O6 109.333
O4 S2 O5 109.333 O4 S2 O6 109.333
O5 S2 O6 119.261
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBEultrafine/aug-cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 Mg 0.879      
2 S 2.178      
3 O -0.741      
4 O -0.741      
5 O -0.788      
6 O -0.788      


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 -11.839 11.839
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -46.747 0.000 0.000
y 0.000 -48.458 0.000
z 0.000 0.000 -20.735
Traceless
 xyz
x -12.151 0.000 0.000
y 0.000 -14.717 0.000
z 0.000 0.000 26.868
Polar
3z2-r253.736
x2-y21.711
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 7.691 0.000 0.000
y 0.000 6.871 0.000
z 0.000 0.000 11.142


<r2> (average value of r2) Å2
<r2> 154.124
(<r2>)1/2 12.415