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

using model chemistry: PBEPBE/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 PBEPBE/6-31G**
 hartrees
Energy at 0K-898.528602
Energy at 298.15K-898.531863
HF Energy-898.528602
Nuclear repulsion energy377.469118
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/6-31G**
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 1117 1101 200.61      
2 A1 714 704 198.24      
3 A1 697 687 55.80      
4 A1 534 527 10.66      
5 A1 363 358 35.27      
6 A2 301 297 0.00      
7 B1 1289 1271 147.76      
8 B1 476 469 18.96      
9 B1 96 94 33.56      
10 B2 704 695 221.21      
11 B2 552 544 49.33      
12 B2 420 415 3.81      

Unscaled Zero Point Vibrational Energy (zpe) 3631.3 cm-1
Scaled (by 0.9863) Zero Point Vibrational Energy (zpe) 3581.6 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 PBEPBE/6-31G**
ABC
0.16462 0.07944 0.07882

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

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
Mg1 0.000 0.000 -1.897
S2 0.000 0.000 0.591
O3 0.000 1.255 -0.497
O4 0.000 -1.255 -0.497
O5 -1.275 0.000 1.328
O6 1.275 0.000 1.328

Atom - Atom Distances (Å)
  Mg1 S2 O3 O4 O5 O6
Mg12.48851.88041.88043.46863.4686
S22.48851.66061.66061.47311.4731
O31.88041.66062.50942.55572.5557
O41.88041.66062.50942.55572.5557
O53.46861.47312.55572.55572.5510
O63.46861.47312.55572.55572.5510

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 89.073 Mg1 O4 S2 89.073
O3 Mg1 O4 83.708 O3 S2 O4 98.147
O3 S2 O5 109.133 O3 S2 O6 109.133
O4 S2 O5 109.133 O4 S2 O6 109.133
O5 S2 O6 119.958
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/6-31G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 Mg 0.861      
2 S 1.308      
3 O -0.632      
4 O -0.632      
5 O -0.453      
6 O -0.453      


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 -11.209 11.209
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -45.813 0.000 0.000
y 0.000 -47.974 0.000
z 0.000 0.000 -20.535
Traceless
 xyz
x -11.559 0.000 0.000
y 0.000 -14.800 0.000
z 0.000 0.000 26.359
Polar
3z2-r252.718
x2-y22.161
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 6.452 0.000 0.000
y 0.000 5.297 0.000
z 0.000 0.000 10.658


<r2> (average value of r2) Å2
<r2> 155.983
(<r2>)1/2 12.489