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

using model chemistry: B3PW91/3-21G

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 1A1
Energy calculated at B3PW91/3-21G
 hartrees
Energy at 0K-894.028577
Energy at 298.15K-894.031634
HF Energy-894.028577
Nuclear repulsion energy361.483792
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 B3PW91/3-21G
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 1007 968 128.78      
2 A1 712 684 84.63      
3 A1 658 633 132.28      
4 A1 484 465 7.77      
5 A1 340 327 31.29      
6 A2 278 268 0.00      
7 B1 1148 1104 59.06      
8 B1 418 402 41.71      
9 B1 117 113 36.04      
10 B2 678 651 136.58      
11 B2 567 545 55.77      
12 B2 357 343 5.55      

Unscaled Zero Point Vibrational Energy (zpe) 3382.3 cm-1
Scaled (by 0.9612) Zero Point Vibrational Energy (zpe) 3251.1 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 B3PW91/3-21G
ABC
0.15167 0.07377 0.07148

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3PW91/3-21G

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
Mg1 0.000 0.000 -1.946
S2 0.000 0.000 0.624
O3 0.000 1.274 -0.568
O4 0.000 -1.274 -0.568
O5 -1.361 0.000 1.404
O6 1.361 0.000 1.404

Atom - Atom Distances (Å)
  Mg1 S2 O3 O4 O5 O6
Mg12.56931.87601.87603.61513.6151
S22.56931.74481.74481.56841.5684
O31.87601.74482.54792.71362.7136
O41.87601.74482.54792.71362.7136
O53.61511.56842.71362.71362.7215
O63.61511.56842.71362.71362.7215

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 90.331 Mg1 O4 S2 90.331
O3 Mg1 O4 85.542 O3 S2 O4 93.796
O3 S2 O5 109.864 O3 S2 O6 109.864
O4 S2 O5 109.864 O4 S2 O6 109.864
O5 S2 O6 120.360
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3PW91/3-21G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 Mg 0.973      
2 S 1.463      
3 O -0.660      
4 O -0.660      
5 O -0.558      
6 O -0.558      


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 -11.227 11.227
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -47.559 0.000 0.000
y 0.000 -50.102 0.000
z 0.000 0.000 -21.282
Traceless
 xyz
x -11.867 0.000 0.000
y 0.000 -15.682 0.000
z 0.000 0.000 27.549
Polar
3z2-r255.099
x2-y22.543
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 6.165 0.000 0.000
y 0.000 4.707 0.000
z 0.000 0.000 11.467


<r2> (average value of r2) Å2
<r2> 168.699
(<r2>)1/2 12.988