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

using model chemistry: HF/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 HF/cc-pVDZ
 hartrees
Energy at 0K-896.537822
Energy at 298.15K-896.541811
HF Energy-896.537822
Nuclear repulsion energy387.308713
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 HF/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 1258 1143 345.74      
2 A1 909 826 232.30      
3 A1 810 736 123.18      
4 A1 629 571 7.32      
5 A1 421 382 73.01      
6 A2 406 369 0.00      
7 B1 1421 1291 355.99      
8 B1 610 554 80.21      
9 B1 121 110 47.55      
10 B2 905 822 484.92      
11 B2 696 632 5.51      
12 B2 496 450 1.05      

Unscaled Zero Point Vibrational Energy (zpe) 4341.3 cm-1
Scaled (by 0.908) Zero Point Vibrational Energy (zpe) 3941.9 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 HF/cc-pVDZ
ABC
0.18010 0.08210 0.08027

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

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
Mg1 0.000 0.000 -1.909
S2 0.000 0.000 0.588
O3 0.000 1.179 -0.472
O4 0.000 -1.179 -0.472
O5 -1.239 0.000 1.315
O6 1.239 0.000 1.315

Atom - Atom Distances (Å)
  Mg1 S2 O3 O4 O5 O6
Mg12.49631.85861.85863.45393.4539
S22.49631.58491.58491.43721.4372
O31.85861.58492.35772.47372.4737
O41.85861.58492.35772.47372.4737
O53.45391.43722.47372.47372.4789
O63.45391.43722.47372.47372.4789

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 92.578 Mg1 O4 S2 92.578
O3 Mg1 O4 78.733 O3 S2 O4 96.112
O3 S2 O5 109.777 O3 S2 O6 109.777
O4 S2 O5 109.777 O4 S2 O6 109.777
O5 S2 O6 119.176
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HF/cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 Mg 1.154      
2 S 1.554      
3 O -0.763      
4 O -0.763      
5 O -0.591      
6 O -0.591      


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 -14.043 14.043
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -46.694 0.000 0.000
y 0.000 -48.451 0.000
z 0.000 0.000 -16.684
Traceless
 xyz
x -14.127 0.000 0.000
y 0.000 -16.762 0.000
z 0.000 0.000 30.888
Polar
3z2-r261.777
x2-y21.757
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 4.337 0.000 0.000
y 0.000 3.644 0.000
z 0.000 0.000 5.818


<r2> (average value of r2) Å2
<r2> 150.572
(<r2>)1/2 12.271