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

using model chemistry: mPW1PW91/6-311G*

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 1A1
Energy calculated at mPW1PW91/6-311G*
 hartrees
Energy at 0K-899.157518
Energy at 298.15K-899.161154
HF Energy-899.157518
Nuclear repulsion energy384.323667
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 mPW1PW91/6-311G*
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 1190 1136 273.61      
2 A1 792 755 288.12      
3 A1 750 715 40.74      
4 A1 577 550 8.54      
5 A1 389 371 54.38      
6 A2 361 345 0.00      
7 B1 1367 1305 266.06      
8 B1 544 520 46.18      
9 B1 108 103 42.32      
10 B2 777 741 369.02      
11 B2 623 595 9.10      
12 B2 459 438 0.80      

Unscaled Zero Point Vibrational Energy (zpe) 3968.2 cm-1
Scaled (by 0.9544) Zero Point Vibrational Energy (zpe) 3787.3 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 mPW1PW91/6-311G*
ABC
0.17457 0.08129 0.08018

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/6-311G*

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
Mg1 0.000 0.000 -1.903
S2 0.000 0.000 0.589
O3 0.000 1.210 -0.476
O4 0.000 -1.210 -0.476
O5 -1.247 0.000 1.315
O6 1.247 0.000 1.315

Atom - Atom Distances (Å)
  Mg1 S2 O3 O4 O5 O6
Mg12.49221.87151.87153.45123.4512
S22.49221.61181.61181.44261.4426
O31.87151.61182.42032.49502.4950
O41.87151.61182.42032.49502.4950
O53.45121.44262.49502.49502.4933
O63.45121.44262.49502.49502.4933

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 91.051 Mg1 O4 S2 91.051
O3 Mg1 O4 80.575 O3 S2 O4 97.323
O3 S2 O5 109.414 O3 S2 O6 109.414
O4 S2 O5 109.414 O4 S2 O6 109.414
O5 S2 O6 119.570
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/6-311G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 Mg 1.072      
2 S 1.243      
3 O -0.663      
4 O -0.663      
5 O -0.495      
6 O -0.495      


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 -12.994 12.994
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -46.706 0.000 0.000
y 0.000 -48.667 0.000
z 0.000 0.000 -18.590
Traceless
 xyz
x -13.077 0.000 0.000
y 0.000 -16.020 0.000
z 0.000 0.000 29.097
Polar
3z2-r258.194
x2-y21.961
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 5.532 0.000 0.000
y 0.000 4.642 0.000
z 0.000 0.000 8.143


<r2> (average value of r2) Å2
<r2> 152.327
(<r2>)1/2 12.342