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

using model chemistry: LSDA/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 LSDA/cc-pVTZ
 hartrees
Energy at 0K-896.156624
Energy at 298.15K-896.160185
HF Energy-896.156624
Nuclear repulsion energy387.055235
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 LSDA/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 1186 1173 217.74      
2 A1 779 770 264.35      
3 A1 751 743 11.32      
4 A1 564 558 5.80      
5 A1 381 377 42.28      
6 A2 341 338 0.00      
7 B1 1357 1342 185.01      
8 B1 516 510 23.71      
9 B1 93 92 34.43      
10 B2 763 755 318.09      
11 B2 627 621 17.10      
12 B2 453 448 1.84      

Unscaled Zero Point Vibrational Energy (zpe) 3905.2 cm-1
Scaled (by 0.9891) Zero Point Vibrational Energy (zpe) 3862.6 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 LSDA/cc-pVTZ
ABC
0.17409 0.08341 0.08233

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

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
Mg1 0.000 0.000 -1.861
S2 0.000 0.000 0.573
O3 0.000 1.213 -0.478
O4 0.000 -1.213 -0.478
O5 -1.247 0.000 1.301
O6 1.247 0.000 1.301

Atom - Atom Distances (Å)
  Mg1 S2 O3 O4 O5 O6
Mg12.43421.83941.83943.39873.3987
S22.43421.60561.60561.44371.4437
O31.83941.60562.42652.48852.4885
O41.83941.60562.42652.48852.4885
O53.39871.44372.48852.48852.4940
O63.39871.44372.48852.48852.4940

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 89.650 Mg1 O4 S2 89.650
O3 Mg1 O4 82.538 O3 S2 O4 98.162
O3 S2 O5 109.273 O3 S2 O6 109.273
O4 S2 O5 109.273 O4 S2 O6 109.273
O5 S2 O6 119.480
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at LSDA/cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 Mg 0.689      
2 S 0.893      
3 O -0.400      
4 O -0.400      
5 O -0.391      
6 O -0.391      


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 -11.731 11.731
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -45.999 0.000 0.000
y 0.000 -47.445 0.000
z 0.000 0.000 -20.622
Traceless
 xyz
x -11.965 0.000 0.000
y 0.000 -14.135 0.000
z 0.000 0.000 26.100
Polar
3z2-r252.201
x2-y21.447
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 6.496 0.000 0.000
y 0.000 5.492 0.000
z 0.000 0.000 9.886


<r2> (average value of r2) Å2
<r2> 149.727
(<r2>)1/2 12.236