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: TPSSh/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 TPSSh/6-31G*
 hartrees
Energy at 0K-899.130857
Energy at 298.15K-899.134295
HF Energy-899.130857
Nuclear repulsion energy380.680481
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 TPSSh/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 1151 1104 234.89      
2 A1 751 720 281.91      
3 A1 729 700 3.73      
4 A1 555 532 9.94      
5 A1 374 359 43.51      
6 A2 329 315 0.00      
7 B1 1325 1271 198.79      
8 B1 507 486 32.23      
9 B1 103 99 39.08      
10 B2 747 717 304.44      
11 B2 595 570 26.15      
12 B2 438 420 2.17      

Unscaled Zero Point Vibrational Energy (zpe) 3801.5 cm-1
Scaled (by 0.9594) Zero Point Vibrational Energy (zpe) 3647.2 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 TPSSh/6-31G*
ABC
0.16873 0.08054 0.07960

See section I.F.4 to change rotational constant units
Geometric Data calculated at TPSSh/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 0.588
O3 0.000 1.234 -0.489
O4 0.000 -1.234 -0.489
O5 -1.265 0.000 1.321
O6 1.265 0.000 1.321

Atom - Atom Distances (Å)
  Mg1 S2 O3 O4 O5 O6
Mg12.48231.86971.86973.45513.4551
S22.48231.63841.63841.46201.4620
O31.86971.63842.46812.53012.5301
O41.86971.63842.46812.53012.5301
O53.45511.46202.53012.53012.5300
O63.45511.46202.53012.53012.5300

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 89.828 Mg1 O4 S2 89.828
O3 Mg1 O4 82.603 O3 S2 O4 97.741
O3 S2 O5 109.253 O3 S2 O6 109.253
O4 S2 O5 109.253 O4 S2 O6 109.253
O5 S2 O6 119.827
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at TPSSh/6-31G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 Mg 0.955      
2 S 1.435      
3 O -0.693      
4 O -0.693      
5 O -0.502      
6 O -0.502      


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 -12.006 12.006
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 5.852 0.000 0.000
y 0.000 4.883 0.000
z 0.000 0.000 9.106


<r2> (average value of r2) Å2
<r2> 153.817
(<r2>)1/2 12.402