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

using model chemistry: PBE1PBE/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 PBE1PBE/TZVP
 hartrees
Energy at 0K-898.679245
Energy at 298.15K-898.682819
HF Energy-898.679245
Nuclear repulsion energy382.338780
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 PBE1PBE/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 1170 1123 259.79      
2 A1 792 760 267.97      
3 A1 726 696 37.43      
4 A1 561 538 7.78      
5 A1 374 358 53.97      
6 A2 352 338 0.00      
7 B1 1339 1285 285.88      
8 B1 535 513 50.78      
9 B1 106 102 44.93      
10 B2 763 732 388.82      
11 B2 616 591 1.94      
12 B2 446 428 0.12      

Unscaled Zero Point Vibrational Energy (zpe) 3889.2 cm-1
Scaled (by 0.9596) Zero Point Vibrational Energy (zpe) 3732.1 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 PBE1PBE/TZVP
ABC
0.17270 0.08070 0.07925

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBE1PBE/TZVP

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 0.591
O3 0.000 1.211 -0.482
O4 0.000 -1.211 -0.482
O5 -1.259 0.000 1.323
O6 1.259 0.000 1.323

Atom - Atom Distances (Å)
  Mg1 S2 O3 O4 O5 O6
Mg12.50011.87101.87103.46843.4684
S22.50011.61821.61821.45631.4563
O31.87101.61822.42152.51212.5121
O41.87101.61822.42152.51212.5121
O53.46841.45632.51212.51212.5183
O63.46841.45632.51212.51212.5183

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 91.241 Mg1 O4 S2 91.241
O3 Mg1 O4 80.650 O3 S2 O4 96.868
O3 S2 O5 109.472 O3 S2 O6 109.472
O4 S2 O5 109.472 O4 S2 O6 109.472
O5 S2 O6 119.679
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBE1PBE/TZVP Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 Mg 1.429      
2 S 0.738      
3 O -0.726      
4 O -0.726      
5 O -0.358      
6 O -0.358      


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 -13.260 13.260
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -46.948 0.000 0.000
y 0.000 -49.371 0.000
z 0.000 0.000 -18.295
Traceless
 xyz
x -13.115 0.000 0.000
y 0.000 -16.750 0.000
z 0.000 0.000 29.865
Polar
3z2-r259.729
x2-y22.423
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 5.538 0.000 0.000
y 0.000 4.742 0.000
z 0.000 0.000 8.410


<r2> (average value of r2) Å2
<r2> 153.725
(<r2>)1/2 12.399