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

using model chemistry: mPW1PW91/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 mPW1PW91/aug-cc-pVTZ
 hartrees
Energy at 0K-899.259172
Energy at 298.15K-899.262888
HF Energy-899.259172
Nuclear repulsion energy387.628438
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 mPW1PW91/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 1200 1150 258.15      
2 A1 816 782 257.22      
3 A1 763 731 54.35      
4 A1 585 560 9.12      
5 A1 394 378 54.33      
6 A2 371 355 0.00      
7 B1 1362 1305 265.23      
8 B1 551 528 36.13      
9 B1 101 97 40.24      
10 B2 805 772 389.19      
11 B2 646 619 2.68      
12 B2 469 450 0.27      

Unscaled Zero Point Vibrational Energy (zpe) 4030.9 cm-1
Scaled (by 0.9581) Zero Point Vibrational Energy (zpe) 3862.0 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 mPW1PW91/aug-cc-pVTZ
ABC
0.17652 0.08310 0.08193

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/aug-cc-pVTZ

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
Mg1 0.000 0.000 -1.875
S2 0.000 0.000 0.573
O3 0.000 1.203 -0.473
O4 0.000 -1.203 -0.473
O5 -1.240 0.000 1.306
O6 1.240 0.000 1.306

Atom - Atom Distances (Å)
  Mg1 S2 O3 O4 O5 O6
Mg12.44871.84781.84783.41433.4143
S22.44871.59431.59431.44031.4403
O31.84781.59432.40612.47962.4796
O41.84781.59432.40612.47962.4796
O53.41431.44032.47962.47962.4803
O63.41431.44032.47962.47962.4803

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 90.389 Mg1 O4 S2 90.389
O3 Mg1 O4 81.243 O3 S2 O4 97.980
O3 S2 O5 109.492 O3 S2 O6 109.492
O4 S2 O5 109.492 O4 S2 O6 109.492
O5 S2 O6 118.873
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/aug-cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 Mg 0.991      
2 S 2.355      
3 O -0.817      
4 O -0.817      
5 O -0.856      
6 O -0.856      


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 -12.842 12.842
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -46.405 0.000 0.000
y 0.000 -47.791 0.000
z 0.000 0.000 -19.043
Traceless
 xyz
x -12.988 0.000 0.000
y 0.000 -15.067 0.000
z 0.000 0.000 28.055
Polar
3z2-r256.110
x2-y21.386
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 6.647 0.000 0.000
y 0.000 6.008 0.000
z 0.000 0.000 8.744


<r2> (average value of r2) Å2
<r2> 149.659
(<r2>)1/2 12.234