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

using model chemistry: B3LYPultrafine/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 B3LYPultrafine/6-31G**
 hartrees
Energy at 0K-899.129758
Energy at 298.15K-899.133269
HF Energy-899.129758
Nuclear repulsion energy381.233444
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 B3LYPultrafine/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 1155 1109 232.47      
2 A1 754 725 290.09      
3 A1 737 708 0.02      
4 A1 564 542 10.31      
5 A1 382 367 43.52      
6 A2 337 323 0.00      
7 B1 1328 1275 200.24      
8 B1 517 497 34.21      
9 B1 110 106 38.41      
10 B2 750 721 299.38      
11 B2 595 572 27.59      
12 B2 446 428 2.71      

Unscaled Zero Point Vibrational Energy (zpe) 3836.9 cm-1
Scaled (by 0.9608) Zero Point Vibrational Energy (zpe) 3686.5 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 B3LYPultrafine/6-31G**
ABC
0.16986 0.08063 0.07962

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYPultrafine/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
Mg12.48361.86591.86593.45513.4551
S22.48361.63561.63561.45931.4593
O31.86591.63562.45762.52722.5272
O41.86591.63562.45762.52722.5272
O53.45511.45932.52722.52722.5238
O63.45511.45932.52722.52722.5238

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 90.107 Mg1 O4 S2 90.107
O3 Mg1 O4 82.379 O3 S2 O4 97.407
O3 S2 O5 109.356 O3 S2 O6 109.356
O4 S2 O5 109.356 O4 S2 O6 109.356
O5 S2 O6 119.707
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYPultrafine/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 -11.990 11.990
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -45.983 0.000 0.000
y 0.000 -47.984 0.000
z 0.000 0.000 -19.543
Traceless
 xyz
x -12.219 0.000 0.000
y 0.000 -15.221 0.000
z 0.000 0.000 27.441
Polar
3z2-r254.882
x2-y22.001
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 5.715 0.000 0.000
y 0.000 4.793 0.000
z 0.000 0.000 9.124


<r2> (average value of r2) Å2
<r2> 153.698
(<r2>)1/2 12.397