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

using model chemistry: B3LYP/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 B3LYP/6-31+G**
 hartrees
Energy at 0K-899.147269
Energy at 298.15K-899.150759
HF Energy-899.147269
Nuclear repulsion energy380.591336
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 B3LYP/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 1136 1096 253.98      
2 A1 747 720 298.60      
3 A1 729 703 6.14      
4 A1 558 538 11.86      
5 A1 377 364 47.24      
6 A2 340 328 0.00      
7 B1 1297 1251 250.58      
8 B1 515 497 37.12      
9 B1 108 104 38.96      
10 B2 740 713 341.06      
11 B2 594 573 28.35      
12 B2 445 429 0.98      

Unscaled Zero Point Vibrational Energy (zpe) 3793.1 cm-1
Scaled (by 0.9642) Zero Point Vibrational Energy (zpe) 3657.3 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 B3LYP/6-31+G**
ABC
0.17027 0.08010 0.07904

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/6-31+G**

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
Mg1 0.000 0.000 -1.905
S2 0.000 0.000 0.591
O3 0.000 1.226 -0.490
O4 0.000 -1.226 -0.490
O5 -1.262 0.000 1.329
O6 1.262 0.000 1.329

Atom - Atom Distances (Å)
  Mg1 S2 O3 O4 O5 O6
Mg12.49571.87221.87223.47113.4711
S22.49571.63451.63451.46161.4616
O31.87221.63452.45222.53042.5304
O41.87221.63452.45222.53042.5304
O53.47111.46162.53042.53042.5231
O63.47111.46162.53042.53042.5231

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 90.485 Mg1 O4 S2 90.485
O3 Mg1 O4 81.823 O3 S2 O4 97.207
O3 S2 O5 109.505 O3 S2 O6 109.505
O4 S2 O5 109.505 O4 S2 O6 109.505
O5 S2 O6 119.346
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/6-31+G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 Mg 0.929      
2 S 1.766      
3 O -0.736      
4 O -0.736      
5 O -0.611      
6 O -0.611      


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 -12.599 12.599
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -47.417 0.000 0.000
y 0.000 -49.212 0.000
z 0.000 0.000 -19.788
Traceless
 xyz
x -12.918 0.000 0.000
y 0.000 -15.609 0.000
z 0.000 0.000 28.527
Polar
3z2-r257.054
x2-y21.794
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 6.835 0.000 0.000
y 0.000 5.906 0.000
z 0.000 0.000 9.636


<r2> (average value of r2) Å2
<r2> 154.976
(<r2>)1/2 12.449