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

using model chemistry: BLYP/cc-pVDZ

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/cc-pVDZ
 hartrees
Energy at 0K-899.113347
Energy at 298.15K-899.116404
HF Energy-899.113347
Nuclear repulsion energy370.738441
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/cc-pVDZ
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 1052 1053 176.37      
2 A1 697 698 71.55      
3 A1 631 632 152.69      
4 A1 498 499 15.84      
5 A1 344 344 28.96      
6 A2 282 283 0.00      
7 B1 1212 1214 127.52      
8 B1 439 439 17.99      
9 B1 103 103 31.06      
10 B2 673 674 132.66      
11 B2 483 484 96.22      
12 B2 404 405 3.86      

Unscaled Zero Point Vibrational Energy (zpe) 3407.9 cm-1
Scaled (by 1.0016) Zero Point Vibrational Energy (zpe) 3413.4 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 BLYP/cc-pVDZ
ABC
0.15879 0.07674 0.07617

See section I.F.4 to change rotational constant units
Geometric Data calculated at BLYP/cc-pVDZ

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
Mg1 0.000 0.000 -1.916
S2 0.000 0.000 0.611
O3 0.000 1.278 -0.526
O4 0.000 -1.278 -0.526
O5 -1.298 0.000 1.353
O6 1.298 0.000 1.353

Atom - Atom Distances (Å)
  Mg1 S2 O3 O4 O5 O6
Mg12.52741.88831.88833.51733.5173
S22.52741.71101.71101.49501.4950
O31.88831.71102.55632.61722.6172
O41.88831.71102.55632.61722.6172
O53.51731.49502.61722.61722.5962
O63.51731.49502.61722.61722.5962

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 89.066 Mg1 O4 S2 89.066
O3 Mg1 O4 85.200 O3 S2 O4 96.668
O3 S2 O5 109.256 O3 S2 O6 109.256
O4 S2 O5 109.256 O4 S2 O6 109.256
O5 S2 O6 120.518
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at BLYP/cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 Mg 0.712      
2 S 1.017      
3 O -0.492      
4 O -0.492      
5 O -0.373      
6 O -0.373      


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 -10.290 10.290
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -45.966 0.000 0.000
y 0.000 -48.591 0.000
z 0.000 0.000 -21.439
Traceless
 xyz
x -10.951 0.000 0.000
y 0.000 -14.888 0.000
z 0.000 0.000 25.839
Polar
3z2-r251.679
x2-y22.625
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 6.701 0.000 0.000
y 0.000 5.535 0.000
z 0.000 0.000 11.682


<r2> (average value of r2) Å2
<r2> 161.002
(<r2>)1/2 12.689