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

using model chemistry: HSEh1PBE/6-31+G**

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 1A1
Energy calculated at HSEh1PBE/6-31+G**
 hartrees
Energy at 0K-898.627757
Energy at 298.15K-898.631344
HF Energy-898.627757
Nuclear repulsion energy383.258602
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 HSEh1PBE/6-31+G**
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 1175 1121 269.52      
2 A1 786 750 274.22      
3 A1 745 711 43.05      
4 A1 571 545 10.01      
5 A1 384 366 51.89      
6 A2 352 336 0.00      
7 B1 1339 1279 268.54      
8 B1 532 508 40.00      
9 B1 103 99 40.50      
10 B2 776 741 388.13      
11 B2 622 594 6.61      
12 B2 454 433 0.73      

Unscaled Zero Point Vibrational Energy (zpe) 3918.3 cm-1
Scaled (by 0.9548) Zero Point Vibrational Energy (zpe) 3741.2 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 HSEh1PBE/6-31+G**
ABC
0.17260 0.08123 0.08007

See section I.F.4 to change rotational constant units
Geometric Data calculated at HSEh1PBE/6-31+G**

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
Mg1 0.000 0.000 -1.897
S2 0.000 0.000 0.584
O3 0.000 1.216 -0.480
O4 0.000 -1.216 -0.480
O5 -1.254 0.000 1.319
O6 1.254 0.000 1.319

Atom - Atom Distances (Å)
  Mg1 S2 O3 O4 O5 O6
Mg12.48071.86701.86703.45133.4513
S22.48071.61631.61631.45371.4537
O31.86701.61632.43292.50792.5079
O41.86701.61632.43292.50792.5079
O53.45131.45372.50792.50792.5087
O63.45131.45372.50792.50792.5087

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 90.527 Mg1 O4 S2 90.527
O3 Mg1 O4 81.317 O3 S2 O4 97.629
O3 S2 O5 109.439 O3 S2 O6 109.439
O4 S2 O5 109.439 O4 S2 O6 109.439
O5 S2 O6 119.286
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HSEh1PBE/6-31+G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 Mg 0.929      
2 S 1.743      
3 O -0.731      
4 O -0.731      
5 O -0.605      
6 O -0.605      


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 -12.872 12.872
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -47.086 0.000 0.000
y 0.000 -48.796 0.000
z 0.000 0.000 -19.138
Traceless
 xyz
x -13.119 0.000 0.000
y 0.000 -15.683 0.000
z 0.000 0.000 28.803
Polar
3z2-r257.606
x2-y21.709
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 6.605 0.000 0.000
y 0.000 5.668 0.000
z 0.000 0.000 9.001


<r2> (average value of r2) Å2
<r2> 152.935
(<r2>)1/2 12.367