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

using model chemistry: PBEPBE/6-31+G**

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 1A1
Energy calculated at PBEPBE/6-31+G**
 hartrees
Energy at 0K-898.546824
Energy at 298.15K-898.550078
HF Energy-898.546824
Nuclear repulsion energy376.793612
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 PBEPBE/6-31+G**
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 1100 1087 223.20      
2 A1 710 702 190.76      
3 A1 687 679 79.11      
4 A1 528 522 12.97      
5 A1 358 354 38.93      
6 A2 308 305 0.00      
7 B1 1261 1247 198.68      
8 B1 476 470 23.05      
9 B1 96 95 35.07      
10 B2 695 687 262.28      
11 B2 551 545 56.05      
12 B2 422 417 1.49      

Unscaled Zero Point Vibrational Energy (zpe) 3595.4 cm-1
Scaled (by 0.9886) Zero Point Vibrational Energy (zpe) 3554.4 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 PBEPBE/6-31+G**
ABC
0.16507 0.07889 0.07820

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

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 0.593
O3 0.000 1.252 -0.497
O4 0.000 -1.252 -0.497
O5 -1.275 0.000 1.335
O6 1.275 0.000 1.335

Atom - Atom Distances (Å)
  Mg1 S2 O3 O4 O5 O6
Mg12.50181.88671.88673.48573.4857
S22.50181.65981.65981.47541.4754
O31.88671.65982.50342.55932.5593
O41.88671.65982.50342.55932.5593
O53.48571.47542.55932.55932.5500
O63.48571.47542.55932.55932.5500

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 89.491 Mg1 O4 S2 89.491
O3 Mg1 O4 83.121 O3 S2 O4 97.897
O3 S2 O5 109.296 O3 S2 O6 109.296
O4 S2 O5 109.296 O4 S2 O6 109.296
O5 S2 O6 119.581
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/6-31+G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 Mg 0.844      
2 S 1.471      
3 O -0.633      
4 O -0.633      
5 O -0.524      
6 O -0.524      


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 -11.890 11.890
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -47.290 0.000 0.000
y 0.000 -49.300 0.000
z 0.000 0.000 -20.642
Traceless
 xyz
x -12.318 0.000 0.000
y 0.000 -15.335 0.000
z 0.000 0.000 27.653
Polar
3z2-r255.306
x2-y22.011
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 7.614 0.000 0.000
y 0.000 6.508 0.000
z 0.000 0.000 11.174


<r2> (average value of r2) Å2
<r2> 157.315
(<r2>)1/2 12.543