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

using model chemistry: B2PLYP/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 B2PLYP/3-21G
 hartrees
Energy at 0K-893.630192
Energy at 298.15K-893.633170
HF Energy-893.408166
Nuclear repulsion energy359.634707
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 B2PLYP/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 997 997 117.03      
2 A1 709 709 71.43      
3 A1 623 623 173.18      
4 A1 472 472 18.82      
5 A1 339 339 28.25      
6 A2 275 275 0.00      
7 B1 1142 1142 59.29      
8 B1 411 411 41.12      
9 B1 120 120 34.10      
10 B2 673 673 91.54      
11 B2 525 525 92.94      
12 B2 350 350 5.43      

Unscaled Zero Point Vibrational Energy (zpe) 3317.3 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 3317.3 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 B2PLYP/3-21G
ABC
0.14941 0.07317 0.07106

See section I.F.4 to change rotational constant units
Geometric Data calculated at B2PLYP/3-21G

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
Mg1 0.000 0.000 -1.944
S2 0.000 0.000 0.629
O3 0.000 1.287 -0.578
O4 0.000 -1.287 -0.578
O5 -1.368 0.000 1.408
O6 1.368 0.000 1.408

Atom - Atom Distances (Å)
  Mg1 S2 O3 O4 O5 O6
Mg12.57311.87691.87693.62033.6203
S22.57311.76441.76441.57401.5740
O31.87691.76442.57402.73322.7332
O41.87691.76442.57402.73322.7332
O53.62031.57402.73322.73322.7355
O63.62031.57402.73322.73322.7355

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 89.872 Mg1 O4 S2 89.872
O3 Mg1 O4 86.579 O3 S2 O4 93.678
O3 S2 O5 109.785 O3 S2 O6 109.785
O4 S2 O5 109.785 O4 S2 O6 109.785
O5 S2 O6 120.682
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B2PLYP/3-21G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 Mg 0.918      
2 S 1.454      
3 O -0.641      
4 O -0.641      
5 O -0.545      
6 O -0.545      


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 -10.615 10.615
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -47.870 0.000 0.000
y 0.000 -50.628 0.000
z 0.000 0.000 -22.329
Traceless
 xyz
x -11.392 0.000 0.000
y 0.000 -15.529 0.000
z 0.000 0.000 26.920
Polar
3z2-r253.840
x2-y22.758
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 6.360 0.000 0.000
y 0.000 4.937 0.000
z 0.000 0.000 11.950


<r2> (average value of r2) Å2
<r2> 170.331
(<r2>)1/2 13.051