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

using model chemistry: PBEPBEultrafine/TZVP

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/TZVP
 hartrees
Energy at 0K-898.659685
Energy at 298.15K-898.662887
HF Energy-898.659685
Nuclear repulsion energy375.442583
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/TZVP
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 1091 1079 196.88      
2 A1 697 689 239.02      
3 A1 665 658 11.15      
4 A1 516 510 11.40      
5 A1 347 343 39.52      
6 A2 304 301 0.00      
7 B1 1255 1241 203.02      
8 B1 473 468 28.68      
9 B1 98 97 39.35      
10 B2 668 660 251.18      
11 B2 538 532 51.94      
12 B2 415 411 0.51      

Unscaled Zero Point Vibrational Energy (zpe) 3534.2 cm-1
Scaled (by 0.9886) Zero Point Vibrational Energy (zpe) 3493.9 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/TZVP
ABC
0.16471 0.07817 0.07728

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBEultrafine/TZVP

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
Mg1 0.000 0.000 -1.923
S2 0.000 0.000 0.601
O3 0.000 1.249 -0.500
O4 0.000 -1.249 -0.500
O5 -1.280 0.000 1.341
O6 1.280 0.000 1.341

Atom - Atom Distances (Å)
  Mg1 S2 O3 O4 O5 O6
Mg12.52341.89351.89353.50573.5057
S22.52341.66511.66511.47861.4786
O31.89351.66512.49892.56682.5668
O41.89351.66512.49892.56682.5668
O53.50571.47862.56682.56682.5600
O63.50571.47862.56682.56682.5600

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 90.088 Mg1 O4 S2 90.088
O3 Mg1 O4 82.576 O3 S2 O4 97.248
O3 S2 O5 109.325 O3 S2 O6 109.325
O4 S2 O5 109.325 O4 S2 O6 109.325
O5 S2 O6 119.913
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBEultrafine/TZVP Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 Mg 1.319      
2 S 0.596      
3 O -0.657      
4 O -0.657      
5 O -0.300      
6 O -0.300      


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 -12.213 12.213
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -46.994 0.000 0.000
y 0.000 -49.779 0.000
z 0.000 0.000 -19.739
Traceless
 xyz
x -12.235 0.000 0.000
y 0.000 -16.413 0.000
z 0.000 0.000 28.648
Polar
3z2-r257.296
x2-y22.786
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 6.311 0.000 0.000
y 0.000 5.382 0.000
z 0.000 0.000 10.603


<r2> (average value of r2) Å2
<r2> 158.353
(<r2>)1/2 12.584