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

using model chemistry: PBE1PBE/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 PBE1PBE/3-21G*
 hartrees
Energy at 0K-893.995236
Energy at 298.15K-893.998919
HF Energy-893.995236
Nuclear repulsion energy384.298341
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 PBE1PBE/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 1215 1166 249.28      
2 A1 807 774 257.61      
3 A1 776 745 46.83      
4 A1 582 559 3.33      
5 A1 394 378 42.92      
6 A2 363 349 0.00      
7 B1 1408 1352 183.78      
8 B1 533 511 41.59      
9 B1 111 107 39.71      
10 B2 796 764 311.55      
11 B2 650 624 10.09      
12 B2 464 445 5.01      

Unscaled Zero Point Vibrational Energy (zpe) 4049.6 cm-1
Scaled (by 0.9598) Zero Point Vibrational Energy (zpe) 3886.8 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 PBE1PBE/3-21G*
ABC
0.17234 0.08214 0.08081

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBE1PBE/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 -0.485
O4 0.000 -1.215 -0.485
O5 -1.258 0.000 1.310
O6 1.258 0.000 1.310

Atom - Atom Distances (Å)
  Mg1 S2 O3 O4 O5 O6
Mg12.46311.84851.84853.42763.4276
S22.46311.61891.61891.45191.4519
O31.84851.61892.42982.50622.5062
O41.84851.61892.42982.50622.5062
O53.42761.45192.50622.50622.5152
O63.42761.45192.50622.50622.5152

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 90.280 Mg1 O4 S2 90.280
O3 Mg1 O4 82.181 O3 S2 O4 97.258
O3 S2 O5 109.284 O3 S2 O6 109.284
O4 S2 O5 109.284 O4 S2 O6 109.284
O5 S2 O6 120.044
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBE1PBE/3-21G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 Mg 0.748      
2 S 1.301      
3 O -0.564      
4 O -0.564      
5 O -0.460      
6 O -0.460      


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 -11.711 11.711
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -45.684 0.000 0.000
y 0.000 -47.798 0.000
z 0.000 0.000 -19.541
Traceless
 xyz
x -12.015 0.000 0.000
y 0.000 -15.185 0.000
z 0.000 0.000 27.200
Polar
3z2-r254.400
x2-y22.114
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 4.993 0.000 0.000
y 0.000 3.951 0.000
z 0.000 0.000 8.126


<r2> (average value of r2) Å2
<r2> 151.497
(<r2>)1/2 12.308