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

using model chemistry: B3LYPultrafine/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 B3LYPultrafine/3-21G
 hartrees
Energy at 0K-894.239184
Energy at 298.15K-894.242157
HF Energy-894.239184
Nuclear repulsion energy360.034186
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 B3LYPultrafine/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 981 946 109.28      
2 A1 711 686 63.93      
3 A1 634 612 138.94      
4 A1 475 459 8.39      
5 A1 336 324 27.01      
6 A2 272 262 0.00      
7 B1 1118 1079 49.36      
8 B1 406 392 38.61      
9 B1 116 112 32.97      
10 B2 672 649 100.35      
11 B2 542 523 74.66      
12 B2 348 336 6.09      

Unscaled Zero Point Vibrational Energy (zpe) 3305.8 cm-1
Scaled (by 0.9649) Zero Point Vibrational Energy (zpe) 3189.8 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 B3LYPultrafine/3-21G
ABC
0.14998 0.07332 0.07108

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYPultrafine/3-21G

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
Mg1 0.000 0.000 -1.944
S2 0.000 0.000 0.628
O3 0.000 1.282 -0.577
O4 0.000 -1.282 -0.577
O5 -1.367 0.000 1.408
O6 1.367 0.000 1.408

Atom - Atom Distances (Å)
  Mg1 S2 O3 O4 O5 O6
Mg12.57241.87441.87443.62033.6203
S22.57241.75951.75951.57411.5741
O31.87441.75952.56432.73002.7300
O41.87441.75952.56432.73002.7300
O53.62031.57412.73002.73002.7347
O63.62031.57412.73002.73002.7347

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 90.066 Mg1 O4 S2 90.066
O3 Mg1 O4 86.316 O3 S2 O4 93.551
O3 S2 O5 109.833 O3 S2 O6 109.833
O4 S2 O5 109.833 O4 S2 O6 109.833
O5 S2 O6 120.608
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYPultrafine/3-21G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 Mg 0.914      
2 S 1.438      
3 O -0.634      
4 O -0.634      
5 O -0.543      
6 O -0.543      


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 -10.605 10.605
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -47.625 0.000 0.000
y 0.000 -50.199 0.000
z 0.000 0.000 -22.362
Traceless
 xyz
x -11.344 0.000 0.000
y 0.000 -15.206 0.000
z 0.000 0.000 26.550
Polar
3z2-r253.099
x2-y22.575
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 6.337 0.000 0.000
y 0.000 4.941 0.000
z 0.000 0.000 11.972


<r2> (average value of r2) Å2
<r2> 169.953
(<r2>)1/2 13.037