return to home page Computational Chemistry Comparison and Benchmark DataBase Release 22 (May 2022) Standard Reference Database 101 National Institute of Standards and Technology
You are here: Calculated > Energy > Optimized > Energy

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

using model chemistry: B3LYPultrafine/6-31+G**

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/6-31+G**
 hartrees
Energy at 0K-899.147281
Energy at 298.15K-899.150774
HF Energy-899.147281
Nuclear repulsion energy380.610652
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/6-31+G**
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 1137 1095 254.11      
2 A1 747 720 300.24      
3 A1 730 703 4.42      
4 A1 558 537 11.86      
5 A1 377 363 47.24      
6 A2 340 328 0.00      
7 B1 1298 1249 250.76      
8 B1 515 496 37.09      
9 B1 108 104 39.05      
10 B2 741 713 342.06      
11 B2 594 572 27.69      
12 B2 445 429 0.98      

Unscaled Zero Point Vibrational Energy (zpe) 3795.3 cm-1
Scaled (by 0.9627) Zero Point Vibrational Energy (zpe) 3653.8 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/6-31+G**
ABC
0.17031 0.08011 0.07904

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYPultrafine/6-31+G**

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
Mg1 0.000 0.000 -1.905
S2 0.000 0.000 0.591
O3 0.000 1.226 -0.490
O4 0.000 -1.226 -0.490
O5 -1.261 0.000 1.329
O6 1.261 0.000 1.329

Atom - Atom Distances (Å)
  Mg1 S2 O3 O4 O5 O6
Mg12.49571.87211.87213.47113.4711
S22.49571.63431.63431.46161.4616
O31.87211.63432.45182.53032.5303
O41.87211.63432.45182.53032.5303
O53.47111.46162.53032.53032.5230
O63.47111.46162.53032.53032.5230

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 90.493 Mg1 O4 S2 90.493
O3 Mg1 O4 81.813 O3 S2 O4 97.201
O3 S2 O5 109.509 O3 S2 O6 109.509
O4 S2 O5 109.509 O4 S2 O6 109.509
O5 S2 O6 119.336
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYPultrafine/6-31+G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 Mg 0.928      
2 S 1.767      
3 O -0.736      
4 O -0.736      
5 O -0.611      
6 O -0.611      


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 -12.601 12.601
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -47.418 0.000 0.000
y 0.000 -49.208 0.000
z 0.000 0.000 -19.787
Traceless
 xyz
x -12.920 0.000 0.000
y 0.000 -15.606 0.000
z 0.000 0.000 28.526
Polar
3z2-r257.052
x2-y21.791
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 6.834 0.000 0.000
y 0.000 5.906 0.000
z 0.000 0.000 9.635


<r2> (average value of r2) Å2
<r2> 154.966
(<r2>)1/2 12.449