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

using model chemistry: mPW1PW91/6-31G**

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 1A1
Energy calculated at mPW1PW91/6-31G**
 hartrees
Energy at 0K-899.043087
Energy at 298.15K-899.046706
HF Energy-899.043087
Nuclear repulsion energy383.933252
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 mPW1PW91/6-31G**
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 1192 1134 257.54      
2 A1 796 758 260.75      
3 A1 751 715 48.47      
4 A1 578 550 9.25      
5 A1 389 370 50.25      
6 A2 352 335 0.00      
7 B1 1368 1302 231.68      
8 B1 537 511 40.05      
9 B1 106 101 41.40      
10 B2 791 752 359.32      
11 B2 626 596 7.19      
12 B2 456 434 1.78      

Unscaled Zero Point Vibrational Energy (zpe) 3971.2 cm-1
Scaled (by 0.9515) Zero Point Vibrational Energy (zpe) 3778.6 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 mPW1PW91/6-31G**
ABC
0.17244 0.08173 0.08058

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/6-31G**

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
Mg1 0.000 0.000 -1.888
S2 0.000 0.000 0.583
O3 0.000 1.217 -0.480
O4 0.000 -1.217 -0.480
O5 -1.254 0.000 1.313
O6 1.254 0.000 1.313

Atom - Atom Distances (Å)
  Mg1 S2 O3 O4 O5 O6
Mg12.47081.86121.86123.43763.4376
S22.47081.61631.61631.45131.4513
O31.86121.61632.43492.50402.5040
O41.86121.61632.43492.50402.5040
O53.43761.45132.50402.50402.5090
O63.43761.45132.50402.50402.5090

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 90.274 Mg1 O4 S2 90.274
O3 Mg1 O4 81.709 O3 S2 O4 97.744
O3 S2 O5 109.313 O3 S2 O6 109.313
O4 S2 O5 109.313 O4 S2 O6 109.313
O5 S2 O6 119.627
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/6-31G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 Mg 1.004      
2 S 1.469      
3 O -0.718      
4 O -0.718      
5 O -0.518      
6 O -0.518      


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 -12.512 12.512
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -45.848 0.000 0.000
y 0.000 -47.788 0.000
z 0.000 0.000 -18.573
Traceless
 xyz
x -12.668 0.000 0.000
y 0.000 -15.578 0.000
z 0.000 0.000 28.245
Polar
3z2-r256.490
x2-y21.940
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 5.462 0.000 0.000
y 0.000 4.576 0.000
z 0.000 0.000 8.186


<r2> (average value of r2) Å2
<r2> 151.723
(<r2>)1/2 12.318