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

using model chemistry: TPSSh/cc-pVDZ

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/cc-pVDZ
 hartrees
Energy at 0K-899.166848
Energy at 298.15K-899.170226
HF Energy-899.166848
Nuclear repulsion energy376.994338
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/cc-pVDZ
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 1123 1092 224.34      
2 A1 732 711 217.99      
3 A1 714 695 53.39      
4 A1 536 521 9.17      
5 A1 362 352 41.14      
6 A2 320 311 0.00      
7 B1 1292 1256 187.97      
8 B1 485 471 31.62      
9 B1 104 101 38.36      
10 B2 725 705 261.74      
11 B2 578 562 50.26      
12 B2 431 419 3.18      

Unscaled Zero Point Vibrational Energy (zpe) 3700.8 cm-1
Scaled (by 0.9724) Zero Point Vibrational Energy (zpe) 3598.7 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/cc-pVDZ
ABC
0.16537 0.07912 0.07811

See section I.F.4 to change rotational constant units
Geometric Data calculated at TPSSh/cc-pVDZ

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 0.598
O3 0.000 1.245 -0.503
O4 0.000 -1.245 -0.503
O5 -1.279 0.000 1.333
O6 1.279 0.000 1.333

Atom - Atom Distances (Å)
  Mg1 S2 O3 O4 O5 O6
Mg12.50351.87501.87503.48203.4820
S22.50351.66241.66241.47541.4754
O31.87501.66242.49012.56122.5612
O41.87501.66242.49012.56122.5612
O53.48201.47542.56122.56122.5585
O63.48201.47542.56122.56122.5585

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 89.894 Mg1 O4 S2 89.894
O3 Mg1 O4 83.216 O3 S2 O4 96.995
O3 S2 O5 109.276 O3 S2 O6 109.276
O4 S2 O5 109.276 O4 S2 O6 109.276
O5 S2 O6 120.240
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at TPSSh/cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 Mg 0.837      
2 S 1.114      
3 O -0.553      
4 O -0.553      
5 O -0.423      
6 O -0.423      


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 -11.575 11.575
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 5.938 0.000 0.000
y 0.000 4.886 0.000
z 0.000 0.000 9.505


<r2> (average value of r2) Å2
<r2> 156.351
(<r2>)1/2 12.504