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

using model chemistry: HSEh1PBE/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 HSEh1PBE/TZVP
 hartrees
Energy at 0K-898.736551
Energy at 298.15K-898.740106
HF Energy-898.736551
Nuclear repulsion energy382.009038
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 HSEh1PBE/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 1164 1118 256.13      
2 A1 785 754 268.85      
3 A1 722 693 34.70      
4 A1 559 536 8.14      
5 A1 373 358 53.34      
6 A2 350 336 0.00      
7 B1 1333 1280 283.75      
8 B1 532 511 50.29      
9 B1 106 102 44.67      
10 B2 756 726 386.06      
11 B2 611 586 2.90      
12 B2 444 426 0.11      

Unscaled Zero Point Vibrational Energy (zpe) 3866.9 cm-1
Scaled (by 0.9601) Zero Point Vibrational Energy (zpe) 3712.6 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 HSEh1PBE/TZVP
ABC
0.17247 0.08054 0.07910

See section I.F.4 to change rotational constant units
Geometric Data calculated at HSEh1PBE/TZVP

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
Mg1 0.000 0.000 -1.911
S2 0.000 0.000 0.592
O3 0.000 1.212 -0.483
O4 0.000 -1.212 -0.483
O5 -1.260 0.000 1.324
O6 1.260 0.000 1.324

Atom - Atom Distances (Å)
  Mg1 S2 O3 O4 O5 O6
Mg12.50281.87211.87213.47143.4714
S22.50281.62031.62031.45701.4570
O31.87211.62032.42342.51462.5146
O41.87211.62032.42342.51462.5146
O53.47141.45702.51462.51462.5196
O63.47141.45702.51462.51462.5196

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 91.264 Mg1 O4 S2 91.264
O3 Mg1 O4 80.668 O3 S2 O4 96.804
O3 S2 O5 109.482 O3 S2 O6 109.482
O4 S2 O5 109.482 O4 S2 O6 109.482
O5 S2 O6 119.688
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HSEh1PBE/TZVP Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 Mg 1.428      
2 S 0.752      
3 O -0.729      
4 O -0.729      
5 O -0.361      
6 O -0.361      


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 -13.227 13.227
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -46.987 0.000 0.000
y 0.000 -49.428 0.000
z 0.000 0.000 -18.345
Traceless
 xyz
x -13.100 0.000 0.000
y 0.000 -16.762 0.000
z 0.000 0.000 29.863
Polar
3z2-r259.725
x2-y22.442
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 5.567 0.000 0.000
y 0.000 4.769 0.000
z 0.000 0.000 8.529


<r2> (average value of r2) Å2
<r2> 153.989
(<r2>)1/2 12.409