return to home page Computational Chemistry Comparison and Benchmark DataBase Release 22 (May 2022) Standard Reference Database 101 National Institute of Standards and Technology
You are here: Calculated > Energy > Optimized > Energy

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

using model chemistry: B3LYP/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 B3LYP/6-31G*
 hartrees
Energy at 0K-899.129750
Energy at 298.15K-899.133241
HF Energy-899.129750
Nuclear repulsion energy381.209555
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/6-31G*
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 1154 1108 232.38      
2 A1 754 724 290.07      
3 A1 736 707 0.03      
4 A1 564 542 10.31      
5 A1 382 367 43.52      
6 A2 336 323 0.00      
7 B1 1327 1274 200.19      
8 B1 517 497 34.25      
9 B1 110 105 38.30      
10 B2 749 720 298.65      
11 B2 595 571 28.10      
12 B2 445 428 2.71      

Unscaled Zero Point Vibrational Energy (zpe) 3834.6 cm-1
Scaled (by 0.9603) Zero Point Vibrational Energy (zpe) 3682.3 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/6-31G*
ABC
0.16982 0.08062 0.07962

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

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
Mg1 0.000 0.000 -1.894
S2 0.000 0.000 0.589
O3 0.000 1.229 -0.490
O4 0.000 -1.229 -0.490
O5 -1.262 0.000 1.322
O6 1.262 0.000 1.322

Atom - Atom Distances (Å)
  Mg1 S2 O3 O4 O5 O6
Mg12.48371.86601.86603.45513.4551
S22.48371.63581.63581.45931.4593
O31.86601.63582.45802.52732.5273
O41.86601.63582.45802.52732.5273
O53.45511.45932.52732.52732.5240
O63.45511.45932.52732.52732.5240

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 90.100 Mg1 O4 S2 90.100
O3 Mg1 O4 82.388 O3 S2 O4 97.411
O3 S2 O5 109.352 O3 S2 O6 109.352
O4 S2 O5 109.352 O4 S2 O6 109.352
O5 S2 O6 119.717
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/6-31G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 Mg 0.957      
2 S 1.432      
3 O -0.694      
4 O -0.694      
5 O -0.501      
6 O -0.501      


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 -11.988 11.988
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -45.983 0.000 0.000
y 0.000 -47.988 0.000
z 0.000 0.000 -19.542
Traceless
 xyz
x -12.218 0.000 0.000
y 0.000 -15.225 0.000
z 0.000 0.000 27.443
Polar
3z2-r254.886
x2-y22.005
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 5.716 0.000 0.000
y 0.000 4.795 0.000
z 0.000 0.000 9.125


<r2> (average value of r2) Å2
<r2> 153.711
(<r2>)1/2 12.398