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

using model chemistry: M06-2X/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 M06-2X/3-21G*
 hartrees
Energy at 0K-894.372661
Energy at 298.15K-894.376480
HF Energy-894.372661
Nuclear repulsion energy385.460364
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 M06-2X/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 1229 1164 277.52      
2 A1 847 802 232.30      
3 A1 807 764 91.27      
4 A1 597 566 2.54      
5 A1 404 383 50.07      
6 A2 383 363 0.00      
7 B1 1411 1337 214.33      
8 B1 562 532 58.07      
9 B1 120 113 41.29      
10 B2 836 792 364.97      
11 B2 681 645 2.23      
12 B2 476 451 5.91      

Unscaled Zero Point Vibrational Energy (zpe) 4176.1 cm-1
Scaled (by 0.9472) Zero Point Vibrational Energy (zpe) 3955.6 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 M06-2X/3-21G*
ABC
0.17399 0.08259 0.08101

See section I.F.4 to change rotational constant units
Geometric Data calculated at M06-2X/3-21G*

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
Mg1 0.000 0.000 -1.877
S2 0.000 0.000 0.585
O3 0.000 1.205 -0.485
O4 0.000 -1.205 -0.485
O5 -1.256 0.000 1.308
O6 1.256 0.000 1.308

Atom - Atom Distances (Å)
  Mg1 S2 O3 O4 O5 O6
Mg12.46171.84041.84043.42293.4229
S22.46171.61191.61191.44871.4487
O31.84041.61192.41002.49892.4989
O41.84041.61192.41002.49892.4989
O53.42291.44872.49892.49892.5114
O63.42291.44872.49892.49892.5114

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 90.720 Mg1 O4 S2 90.720
O3 Mg1 O4 81.802 O3 S2 O4 96.758
O3 S2 O5 109.346 O3 S2 O6 109.346
O4 S2 O5 109.346 O4 S2 O6 109.346
O5 S2 O6 120.164
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at M06-2X/3-21G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 Mg 0.763      
2 S 1.332      
3 O -0.575      
4 O -0.575      
5 O -0.472      
6 O -0.472      


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 -12.123 12.123
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -45.966 0.000 0.000
y 0.000 -48.096 0.000
z 0.000 0.000 -19.016
Traceless
 xyz
x -12.410 0.000 0.000
y 0.000 -15.605 0.000
z 0.000 0.000 28.015
Polar
3z2-r256.029
x2-y22.130
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 4.580 0.000 0.000
y 0.000 3.643 0.000
z 0.000 0.000 6.967


<r2> (average value of r2) Å2
<r2> 150.874
(<r2>)1/2 12.283