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

using model chemistry: mPW1PW91/3-21G*

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 1A1
Energy calculated at mPW1PW91/3-21G*
 hartrees
Energy at 0K-894.482781
Energy at 298.15K-894.486467
HF Energy-894.482781
Nuclear repulsion energy384.234803
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 mPW1PW91/3-21G*
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 1213 1152 251.64      
2 A1 805 764 263.84      
3 A1 776 737 43.93      
4 A1 583 553 3.71      
5 A1 394 374 43.77      
6 A2 365 347 0.00      
7 B1 1406 1335 187.65      
8 B1 534 508 43.11      
9 B1 112 106 40.47      
10 B2 796 756 317.56      
11 B2 649 617 10.66      
12 B2 464 441 4.63      

Unscaled Zero Point Vibrational Energy (zpe) 4048.3 cm-1
Scaled (by 0.9496) Zero Point Vibrational Energy (zpe) 3844.3 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 mPW1PW91/3-21G*
ABC
0.17252 0.08206 0.08071

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/3-21G*

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
Mg1 0.000 0.000 -1.880
S2 0.000 0.000 0.585
O3 0.000 1.214 -0.486
O4 0.000 -1.214 -0.486
O5 -1.257 0.000 1.311
O6 1.257 0.000 1.311

Atom - Atom Distances (Å)
  Mg1 S2 O3 O4 O5 O6
Mg12.46561.84871.84873.43013.4301
S22.46561.61901.61901.45171.4517
O31.84871.61902.42792.50672.5067
O41.84871.61902.42792.50672.5067
O53.43011.45172.50672.50672.5146
O63.43011.45172.50672.50672.5146

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 90.384 Mg1 O4 S2 90.384
O3 Mg1 O4 82.087 O3 S2 O4 97.144
O3 S2 O5 109.315 O3 S2 O6 109.315
O4 S2 O5 109.315 O4 S2 O6 109.315
O5 S2 O6 120.014
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/3-21G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 Mg 0.758      
2 S 1.308      
3 O -0.569      
4 O -0.569      
5 O -0.464      
6 O -0.464      


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 -11.818 11.818
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -45.653 0.000 0.000
y 0.000 -47.789 0.000
z 0.000 0.000 -19.276
Traceless
 xyz
x -12.121 0.000 0.000
y 0.000 -15.324 0.000
z 0.000 0.000 27.445
Polar
3z2-r254.890
x2-y22.136
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 4.955 0.000 0.000
y 0.000 3.918 0.000
z 0.000 0.000 7.980


<r2> (average value of r2) Å2
<r2> 151.526
(<r2>)1/2 12.310