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

using model chemistry: BLYP/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 BLYP/6-31G
 hartrees
Energy at 0K-898.837252
Energy at 298.15K-898.839466
HF Energy-898.837252
Nuclear repulsion energy343.922151
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 BLYP/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 843 836 98.43      
2 A1 628 623 41.64      
3 A1 515 511 133.33      
4 A1 389 386 26.19      
5 A1 276 274 19.96      
6 A2 202 201 0.00      
7 B1 948 940 57.59      
8 B1 325 323 26.34      
9 B1 110 109 32.42      
10 B2 611 607 48.38      
11 B2 393 390 88.25      
12 B2 286 283 0.00      

Unscaled Zero Point Vibrational Energy (zpe) 2762.8 cm-1
Scaled (by 0.9924) Zero Point Vibrational Energy (zpe) 2741.8 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 BLYP/6-31G
ABC
0.13515 0.06704 0.06590

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

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
Mg1 0.000 0.000 -1.990
S2 0.000 0.000 0.661
O3 0.000 1.372 -0.640
O4 0.000 -1.372 -0.640
O5 -1.420 0.000 1.471
O6 1.420 0.000 1.471

Atom - Atom Distances (Å)
  Mg1 S2 O3 O4 O5 O6
Mg12.65151.92491.92493.74093.7409
S22.65151.89071.89071.63471.6347
O31.92491.89072.74352.89012.8901
O41.92491.89072.74352.89012.8901
O53.74091.63472.89012.89012.8408
O63.74091.63472.89012.89012.8408

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 88.037 Mg1 O4 S2 88.037
O3 Mg1 O4 90.899 O3 S2 O4 93.026
O3 S2 O5 109.917 O3 S2 O6 109.917
O4 S2 O5 109.917 O4 S2 O6 109.917
O5 S2 O6 120.661
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at BLYP/6-31G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 Mg 0.998      
2 S 1.177      
3 O -0.631      
4 O -0.631      
5 O -0.457      
6 O -0.457      


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 -10.116 10.116
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -48.452 0.000 0.000
y 0.000 -52.248 0.000
z 0.000 0.000 -22.902
Traceless
 xyz
x -10.877 0.000 0.000
y 0.000 -16.571 0.000
z 0.000 0.000 27.448
Polar
3z2-r254.896
x2-y23.796
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 7.878 0.000 0.000
y 0.000 6.478 0.000
z 0.000 0.000 14.147


<r2> (average value of r2) Å2
<r2> 183.798
(<r2>)1/2 13.557