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

using model chemistry: B3LYPultrafine/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 B3LYPultrafine/aug-cc-pVTZ
 hartrees
Energy at 0K-899.349583
Energy at 298.15K-899.353195
HF Energy-899.349583
Nuclear repulsion energy384.826134
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 B3LYPultrafine/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 1162 1124 242.42      
2 A1 771 746 292.88      
3 A1 747 723 6.62      
4 A1 571 553 9.99      
5 A1 387 374 49.06      
6 A2 356 345 0.00      
7 B1 1321 1278 246.93      
8 B1 533 516 32.97      
9 B1 105 102 38.13      
10 B2 761 736 347.96      
11 B2 615 595 19.32      
12 B2 459 444 0.62      

Unscaled Zero Point Vibrational Energy (zpe) 3894.2 cm-1
Scaled (by 0.9675) Zero Point Vibrational Energy (zpe) 3767.6 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 B3LYPultrafine/aug-cc-pVTZ
ABC
0.17411 0.08187 0.08080

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYPultrafine/aug-cc-pVTZ

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
Mg1 0.000 0.000 -1.886
S2 0.000 0.000 0.581
O3 0.000 1.213 -0.482
O4 0.000 -1.213 -0.482
O5 -1.247 0.000 1.315
O6 1.247 0.000 1.315

Atom - Atom Distances (Å)
  Mg1 S2 O3 O4 O5 O6
Mg12.46661.85511.85513.43563.4356
S22.46661.61251.61251.44761.4476
O31.85511.61252.42542.50142.5014
O41.85511.61252.42542.50142.5014
O53.43561.44762.50142.50142.4947
O63.43561.44762.50142.50142.4947

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 90.407 Mg1 O4 S2 90.407
O3 Mg1 O4 81.644 O3 S2 O4 97.543
O3 S2 O5 109.539 O3 S2 O6 109.539
O4 S2 O5 109.539 O4 S2 O6 109.539
O5 S2 O6 119.009
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYPultrafine/aug-cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 Mg 0.935      
2 S 2.415      
3 O -0.815      
4 O -0.815      
5 O -0.860      
6 O -0.860      


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 -12.507 12.507
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -46.858 0.000 0.000
y 0.000 -48.366 0.000
z 0.000 0.000 -19.896
Traceless
 xyz
x -12.727 0.000 0.000
y 0.000 -14.989 0.000
z 0.000 0.000 27.716
Polar
3z2-r255.433
x2-y21.508
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 6.938 0.000 0.000
y 0.000 6.270 0.000
z 0.000 0.000 9.603


<r2> (average value of r2) Å2
<r2> 151.864
(<r2>)1/2 12.323