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

using model chemistry: PBEPBEultrafine/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 PBEPBEultrafine/cc-pVDZ
 hartrees
Energy at 0K-898.560522
Energy at 298.15K-898.563704
HF Energy-898.560522
Nuclear repulsion energy373.727714
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 PBEPBEultrafine/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 1091 1085 191.70      
2 A1 705 701 105.54      
3 A1 673 669 132.93      
4 A1 514 511 9.93      
5 A1 350 348 33.06      
6 A2 294 292 0.00      
7 B1 1258 1251 140.91      
8 B1 454 452 18.72      
9 B1 97 96 32.95      
10 B2 689 685 177.69      
11 B2 531 528 75.02      
12 B2 414 412 4.95      

Unscaled Zero Point Vibrational Energy (zpe) 3535.0 cm-1
Scaled (by 0.9942) Zero Point Vibrational Energy (zpe) 3514.5 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 PBEPBEultrafine/cc-pVDZ
ABC
0.16121 0.07802 0.07732

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

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
Mg1 0.000 0.000 -1.908
S2 0.000 0.000 0.602
O3 0.000 1.266 -0.512
O4 0.000 -1.266 -0.512
O5 -1.290 0.000 1.341
O6 1.290 0.000 1.341

Atom - Atom Distances (Å)
  Mg1 S2 O3 O4 O5 O6
Mg12.50991.88501.88503.49533.4953
S22.50991.68641.68641.48681.4868
O31.88501.68642.53272.58832.5883
O41.88501.68642.53272.58832.5883
O53.49531.48682.58832.58832.5808
O63.49531.48682.58832.58832.5808

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 89.120 Mg1 O4 S2 89.120
O3 Mg1 O4 84.416 O3 S2 O4 97.344
O3 S2 O5 109.149 O3 S2 O6 109.149
O4 S2 O5 109.149 O4 S2 O6 109.149
O5 S2 O6 120.430
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBEultrafine/cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 Mg 0.739      
2 S 0.997      
3 O -0.494      
4 O -0.494      
5 O -0.374      
6 O -0.374      


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 -10.706 10.706
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -45.813 0.000 0.000
y 0.000 -48.332 0.000
z 0.000 0.000 -20.690
Traceless
 xyz
x -11.302 0.000 0.000
y 0.000 -15.081 0.000
z 0.000 0.000 26.383
Polar
3z2-r252.766
x2-y22.519
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 6.552 0.000 0.000
y 0.000 5.325 0.000
z 0.000 0.000 11.131


<r2> (average value of r2) Å2
<r2> 158.629
(<r2>)1/2 12.595