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

using model chemistry: PBEPBEultrafine/cc-pVTZ

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 1A1
Energy calculated at PBEPBEultrafine/cc-pVTZ
 hartrees
Energy at 0K-898.734238
Energy at 298.15K-898.737635
HF Energy-898.734238
Nuclear repulsion energy381.261747
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 PBEPBEultrafine/cc-pVTZ
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
(Å4/u)
Dep P Dep U
1 A1 1133 1125 201.13      
2 A1 731 726 224.32      
3 A1 711 706 34.52      
4 A1 544 540 9.30      
5 A1 370 367 38.55      
6 A2 326 324 0.00      
7 B1 1297 1288 167.10      
8 B1 495 491 19.39      
9 B1 92 92 33.32      
10 B2 718 713 259.99      
11 B2 574 570 46.94      
12 B2 440 436 2.13      

Unscaled Zero Point Vibrational Energy (zpe) 3714.4 cm-1
Scaled (by 0.9931) Zero Point Vibrational Energy (zpe) 3688.8 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 PBEPBEultrafine/cc-pVTZ
ABC
0.16867 0.08085 0.08016

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBEultrafine/cc-pVTZ

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
Mg1 0.000 0.000 -1.885
S2 0.000 0.000 0.583
O3 0.000 1.239 -0.489
O4 0.000 -1.239 -0.489
O5 -1.261 0.000 1.319
O6 1.261 0.000 1.319

Atom - Atom Distances (Å)
  Mg1 S2 O3 O4 O5 O6
Mg12.46831.86661.86663.44363.4436
S22.46831.63791.63791.46021.4602
O31.86661.63792.47712.52842.5284
O41.86661.63792.47712.52842.5284
O53.44361.46022.52842.52842.5221
O63.44361.46022.52842.52842.5221

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 89.303 Mg1 O4 S2 89.303
O3 Mg1 O4 83.140 O3 S2 O4 98.253
O3 S2 O5 109.263 O3 S2 O6 109.263
O4 S2 O5 109.263 O4 S2 O6 109.263
O5 S2 O6 119.452
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBEultrafine/cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 Mg 0.745      
2 S 0.929      
3 O -0.432      
4 O -0.432      
5 O -0.405      
6 O -0.405      


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 -11.523 11.523
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -46.018 0.000 0.000
y 0.000 -47.752 0.000
z 0.000 0.000 -20.660
Traceless
 xyz
x -11.812 0.000 0.000
y 0.000 -14.413 0.000
z 0.000 0.000 26.226
Polar
3z2-r252.451
x2-y21.734
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 6.815 0.000 0.000
y 0.000 5.813 0.000
z 0.000 0.000 10.619


<r2> (average value of r2) Å2
<r2> 153.567
(<r2>)1/2 12.392