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: wB97X-D/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 wB97X-D/3-21G*
 hartrees
Energy at 0K-894.452878
Energy at 298.15K-894.456626
HF Energy-894.452878
Nuclear repulsion energy 
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 wB97X-D/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 1234 1170 274.37      
2 A1 823 780 264.99      
3 A1 774 733 74.25      
4 A1 593 562 4.62      
5 A1 401 380 51.04      
6 A2 380 360 0.00      
7 B1 1433 1358 213.65      
8 B1 551 523 49.99      
9 B1 114 108 44.81      
10 B2 811 769 359.98      
11 B2 652 618 3.24      
12 B2 469 445 2.93      

Unscaled Zero Point Vibrational Energy (zpe) 4117.0 cm-1
Scaled (by 0.9478) Zero Point Vibrational Energy (zpe) 3902.1 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 wB97X-D/3-21G*
ABC
0.17385 0.08207 0.08066

See section I.F.4 to change rotational constant units
Geometric Data calculated at wB97X-D/3-21G*

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
Mg1 0.000 0.000 -1.886
S2 0.000 0.000 0.587
O3 0.000 1.208 -0.482
O4 0.000 -1.208 -0.482
O5 -1.254 0.000 1.310
O6 1.254 0.000 1.310

Atom - Atom Distances (Å)
  Mg1 S2 O3 O4 O5 O6
Mg12.47281.85211.85213.43373.4337
S22.47281.61301.61301.44771.4477
O31.85211.61302.41602.49902.4990
O41.85211.61302.41602.49902.4990
O53.43371.44772.49902.49902.5075
O63.43371.44772.49902.49902.5075

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 90.792 Mg1 O4 S2 90.792
O3 Mg1 O4 81.420 O3 S2 O4 96.997
O3 S2 O5 109.350 O3 S2 O6 109.350
O4 S2 O5 109.350 O4 S2 O6 109.350
O5 S2 O6 119.998
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at wB97X-D/3-21G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 Mg 0.795      
2 S 1.324      
3 O -0.586      
4 O -0.586      
5 O -0.474      
6 O -0.474      


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 -12.388 12.388
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -45.694 0.000 0.000
y 0.000 -47.831 0.000
z 0.000 0.000 -18.185
Traceless
 xyz
x -12.686 0.000 0.000
y 0.000 -15.892 0.000
z 0.000 0.000 28.577
Polar
3z2-r257.155
x2-y22.137
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 4.749 0.000 0.000
y 0.000 3.713 0.000
z 0.000 0.000 7.125


<r2> (average value of r2) Å2
<r2> 151.153
(<r2>)1/2 12.294