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

using model chemistry: HSEh1PBE/3-21G*

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/3-21G*
 hartrees
Energy at 0K-894.054253
Energy at 298.15K-894.057923
HF Energy-894.054253
Nuclear repulsion energy384.107680
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/3-21G*
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 1211 1163 244.28      
2 A1 801 769 262.70      
3 A1 774 743 39.56      
4 A1 581 558 3.38      
5 A1 393 377 41.95      
6 A2 362 347 0.00      
7 B1 1405 1349 179.20      
8 B1 531 509 40.62      
9 B1 111 107 39.34      
10 B2 791 759 307.32      
11 B2 646 620 11.84      
12 B2 462 444 4.98      

Unscaled Zero Point Vibrational Energy (zpe) 4034.2 cm-1
Scaled (by 0.9599) Zero Point Vibrational Energy (zpe) 3872.4 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/3-21G*
ABC
0.17220 0.08206 0.08073

See section I.F.4 to change rotational constant units
Geometric Data calculated at HSEh1PBE/3-21G*

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
Mg1 0.000 0.000 -1.879
S2 0.000 0.000 0.585
O3 0.000 1.215 -0.486
O4 0.000 -1.215 -0.486
O5 -1.258 0.000 1.311
O6 1.258 0.000 1.311

Atom - Atom Distances (Å)
  Mg1 S2 O3 O4 O5 O6
Mg12.46441.84871.84873.42913.4291
S22.46441.62031.62031.45231.4523
O31.84871.62032.43102.50792.5079
O41.84871.62032.43102.50792.5079
O53.42911.45232.50792.50792.5161
O63.42911.45232.50792.50792.5161

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 90.287 Mg1 O4 S2 90.287
O3 Mg1 O4 82.219 O3 S2 O4 97.206
O3 S2 O5 109.293 O3 S2 O6 109.293
O4 S2 O5 109.293 O4 S2 O6 109.293
O5 S2 O6 120.049
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HSEh1PBE/3-21G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 Mg 0.744      
2 S 1.294      
3 O -0.561      
4 O -0.561      
5 O -0.457      
6 O -0.457      


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 -11.656 11.656
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -45.678 0.000 0.000
y 0.000 -47.798 0.000
z 0.000 0.000 -19.619
Traceless
 xyz
x -11.969 0.000 0.000
y 0.000 -15.149 0.000
z 0.000 0.000 27.118
Polar
3z2-r254.236
x2-y22.120
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 5.029 0.000 0.000
y 0.000 3.976 0.000
z 0.000 0.000 8.268


<r2> (average value of r2) Å2
<r2> 151.639
(<r2>)1/2 12.314