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

using model chemistry: PBEPBEultrafine/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 PBEPBEultrafine/6-31+G**
 hartrees
Energy at 0K-898.546843
Energy at 298.15K-898.550099
HF Energy-898.546843
Nuclear repulsion energy376.832312
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 PBEPBEultrafine/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 1101 1088 222.62      
2 A1 708 700 195.03      
3 A1 686 679 75.20      
4 A1 529 523 13.14      
5 A1 358 354 38.84      
6 A2 309 305 0.00      
7 B1 1262 1248 198.59      
8 B1 476 470 22.96      
9 B1 97 96 35.23      
10 B2 695 687 262.74      
11 B2 550 544 55.54      
12 B2 423 418 1.54      

Unscaled Zero Point Vibrational Energy (zpe) 3596.7 cm-1
Scaled (by 0.9886) Zero Point Vibrational Energy (zpe) 3555.7 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 PBEPBEultrafine/6-31+G**
ABC
0.16515 0.07890 0.07820

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBEultrafine/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 1.251 -0.497
O4 0.000 -1.251 -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
Mg12.50171.88641.88643.48573.4857
S22.50171.65951.65951.47531.4753
O31.88641.65952.50252.55912.5591
O41.88641.65952.50252.55912.5591
O53.48571.47532.55912.55912.5497
O63.48571.47532.55912.55912.5497

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 89.508 Mg1 O4 S2 89.508
O3 Mg1 O4 83.107 O3 S2 O4 97.876
O3 S2 O5 109.304 O3 S2 O6 109.304
O4 S2 O5 109.304 O4 S2 O6 109.304
O5 S2 O6 119.569
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBEultrafine/6-31+G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 Mg 0.844      
2 S 1.472      
3 O -0.633      
4 O -0.633      
5 O -0.525      
6 O -0.525      


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 -11.891 11.891
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -47.288 0.000 0.000
y 0.000 -49.295 0.000
z 0.000 0.000 -20.641
Traceless
 xyz
x -12.320 0.000 0.000
y 0.000 -15.330 0.000
z 0.000 0.000 27.651
Polar
3z2-r255.301
x2-y22.007
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 7.612 0.000 0.000
y 0.000 6.505 0.000
z 0.000 0.000 11.174


<r2> (average value of r2) Å2
<r2> 157.294
(<r2>)1/2 12.542