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: HF/CEP-121G

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 1A1
Energy calculated at HF/CEP-121G
 hartrees
Energy at 0K-73.106973
Energy at 298.15K-73.109845
HF Energy-73.106973
Nuclear repulsion energy99.732732
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 HF/CEP-121G
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 845 771 198.88      
2 A1 696 635 109.77      
3 A1 637 582 28.17      
4 A1 472 431 16.64      
5 A1 282 258 45.90      
6 A2 279 255 0.00      
7 B1 808 738 22.61      
8 B1 433 396 125.01      
9 B1 101 92 47.78      
10 B2 745 680 210.37      
11 B2 580 529 29.49      
12 B2 325 296 2.76      

Unscaled Zero Point Vibrational Energy (zpe) 3101.6 cm-1
Scaled (by 0.9125) Zero Point Vibrational Energy (zpe) 2830.2 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 HF/CEP-121G
ABC
0.14857 0.07116 0.06621

See section I.F.4 to change rotational constant units
Geometric Data calculated at HF/CEP-121G

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
Mg1 0.000 0.000 -2.022
S2 0.000 0.000 0.642
O3 0.000 1.223 -0.574
O4 0.000 -1.223 -0.574
O5 -1.432 0.000 1.449
O6 1.432 0.000 1.449

Atom - Atom Distances (Å)
  Mg1 S2 O3 O4 O5 O6
Mg12.66451.89561.89563.75533.7553
S22.66451.72531.72531.64371.6437
O31.89561.72532.44672.76442.7644
O41.89561.72532.44672.76442.7644
O53.75531.64372.76442.76442.8639
O63.75531.64372.76442.76442.8639

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 94.648 Mg1 O4 S2 94.648
O3 Mg1 O4 80.387 O3 S2 O4 90.317
O3 S2 O5 110.255 O3 S2 O6 110.255
O4 S2 O5 110.255 O4 S2 O6 110.255
O5 S2 O6 121.192
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HF/CEP-121G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 Mg 1.615      
2 S 1.503      
3 O -0.982      
4 O -0.982      
5 O -0.576      
6 O -0.576      


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 -15.353 15.353
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -48.798 0.000 0.000
y 0.000 -51.067 0.000
z 0.000 0.000 -13.835
Traceless
 xyz
x -16.347 0.000 0.000
y 0.000 -19.750 0.000
z 0.000 0.000 36.097
Polar
3z2-r272.195
x2-y22.269
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 6.187 0.000 0.000
y 0.000 4.963 0.000
z 0.000 0.000 8.450


<r2> (average value of r2) Å2
<r2> 106.049
(<r2>)1/2 10.298