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: M06-2X/TZVP

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 1A1
Energy calculated at M06-2X/TZVP
 hartrees
Energy at 0K-899.082563
Energy at 298.15K-899.086227
HF Energy-899.082563
Nuclear repulsion energy383.756805
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 M06-2X/TZVP
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 1189 1125 290.21      
2 A1 833 788 257.80      
3 A1 741 701 70.48      
4 A1 571 540 8.12      
5 A1 380 360 63.52      
6 A2 366 346 0.00      
7 B1 1356 1283 318.65      
8 B1 556 526 63.94      
9 B1 105 99 46.92      
10 B2 800 757 432.75      
11 B2 634 600 1.13      
12 B2 452 428 0.05      

Unscaled Zero Point Vibrational Energy (zpe) 3990.3 cm-1
Scaled (by 0.9462) Zero Point Vibrational Energy (zpe) 3775.6 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 M06-2X/TZVP
ABC
0.17459 0.08124 0.07951

See section I.F.4 to change rotational constant units
Geometric Data calculated at M06-2X/TZVP

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
Mg1 0.000 0.000 -1.907
S2 0.000 0.000 0.592
O3 0.000 1.199 -0.480
O4 0.000 -1.199 -0.480
O5 -1.257 0.000 1.319
O6 1.257 0.000 1.319

Atom - Atom Distances (Å)
  Mg1 S2 O3 O4 O5 O6
Mg12.49921.86401.86403.46243.4624
S22.49921.60881.60881.45201.4520
O31.86401.60882.39882.50122.5012
O41.86401.60882.39882.50122.5012
O53.46241.45202.50122.50122.5138
O63.46241.45202.50122.50122.5138

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 91.747 Mg1 O4 S2 91.747
O3 Mg1 O4 80.099 O3 S2 O4 96.406
O3 S2 O5 109.496 O3 S2 O6 109.496
O4 S2 O5 109.496 O4 S2 O6 109.496
O5 S2 O6 119.903
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at M06-2X/TZVP Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 Mg 1.477      
2 S 0.891      
3 O -0.778      
4 O -0.778      
5 O -0.406      
6 O -0.406      


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 -13.636 13.636
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -47.371 0.000 0.000
y 0.000 -49.723 0.000
z 0.000 0.000 -17.915
Traceless
 xyz
x -13.552 0.000 0.000
y 0.000 -17.080 0.000
z 0.000 0.000 30.632
Polar
3z2-r261.263
x2-y22.352
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 5.303 0.000 0.000
y 0.000 4.576 0.000
z 0.000 0.000 7.466


<r2> (average value of r2) Å2
<r2> 153.023
(<r2>)1/2 12.370