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

using model chemistry: PBEPBEultrafine/aug-cc-pVDZ

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/aug-cc-pVDZ
 hartrees
Energy at 0K-898.608440
Energy at 298.15K-898.611622
HF Energy-898.608440
Nuclear repulsion energy374.022590
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/aug-cc-pVDZ
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 1067 1060 203.20      
2 A1 700 696 126.91      
3 A1 672 668 123.32      
4 A1 512 509 14.79      
5 A1 346 344 36.56      
6 A2 293 291 0.00      
7 B1 1218 1211 180.48      
8 B1 455 453 20.21      
9 B1 96 95 34.67      
10 B2 692 688 239.33      
11 B2 543 539 58.92      
12 B2 412 409 1.34      

Unscaled Zero Point Vibrational Energy (zpe) 3502.3 cm-1
Scaled (by 0.9939) Zero Point Vibrational Energy (zpe) 3480.9 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/aug-cc-pVDZ
ABC
0.16163 0.07820 0.07740

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

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
Mg1 0.000 0.000 -1.903
S2 0.000 0.000 0.595
O3 0.000 1.263 -0.513
O4 0.000 -1.263 -0.513
O5 -1.290 0.000 1.345
O6 1.290 0.000 1.345

Atom - Atom Distances (Å)
  Mg1 S2 O3 O4 O5 O6
Mg12.49831.87851.87853.49563.4956
S22.49831.68011.68011.49271.4927
O31.87851.68012.52602.59102.5910
O41.87851.68012.52602.59102.5910
O53.49561.49272.59102.59102.5808
O63.49561.49272.59102.59102.5808

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 89.006 Mg1 O4 S2 89.006
O3 Mg1 O4 84.501 O3 S2 O4 97.487
O3 S2 O5 109.359 O3 S2 O6 109.359
O4 S2 O5 109.359 O4 S2 O6 109.359
O5 S2 O6 119.645
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBEultrafine/aug-cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 Mg 1.156      
2 S 2.128      
3 O -0.902      
4 O -0.902      
5 O -0.740      
6 O -0.740      


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 -11.593 11.593
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -47.336 0.000 0.000
y 0.000 -49.054 0.000
z 0.000 0.000 -21.012
Traceless
 xyz
x -12.303 0.000 0.000
y 0.000 -14.880 0.000
z 0.000 0.000 27.184
Polar
3z2-r254.368
x2-y21.718
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 8.018 0.000 0.000
y 0.000 7.115 0.000
z 0.000 0.000 11.772


<r2> (average value of r2) Å2
<r2> 158.914
(<r2>)1/2 12.606