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

using model chemistry: B3PW91/TZVP

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 1A1
Energy calculated at B3PW91/TZVP
 hartrees
Energy at 0K-899.043840
Energy at 298.15K-899.047356
HF Energy-899.043840
Nuclear repulsion energy380.997141
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 B3PW91/TZVP
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 1152 1111 254.76      
2 A1 769 741 281.17      
3 A1 715 690 23.34      
4 A1 553 533 9.28      
5 A1 369 356 52.90      
6 A2 346 334 0.00      
7 B1 1320 1273 279.28      
8 B1 526 507 48.85      
9 B1 106 102 44.91      
10 B2 743 716 376.15      
11 B2 602 580 7.67      
12 B2 441 426 0.09      

Unscaled Zero Point Vibrational Energy (zpe) 3821.1 cm-1
Scaled (by 0.9643) Zero Point Vibrational Energy (zpe) 3684.7 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 B3PW91/TZVP
ABC
0.17145 0.08013 0.07877

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3PW91/TZVP

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
Mg1 0.000 0.000 -1.913
S2 0.000 0.000 0.594
O3 0.000 1.217 -0.486
O4 0.000 -1.217 -0.486
O5 -1.262 0.000 1.327
O6 1.262 0.000 1.327

Atom - Atom Distances (Å)
  Mg1 S2 O3 O4 O5 O6
Mg12.50751.87521.87523.47803.4780
S22.50751.62711.62711.46001.4600
O31.87521.62712.43302.52262.5226
O41.87521.62712.43302.52262.5226
O53.47801.46002.52262.52262.5249
O63.47801.46002.52262.52262.5249

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 91.165 Mg1 O4 S2 91.165
O3 Mg1 O4 80.894 O3 S2 O4 96.775
O3 S2 O5 109.485 O3 S2 O6 109.485
O4 S2 O5 109.485 O4 S2 O6 109.485
O5 S2 O6 119.699
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3PW91/TZVP Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 Mg 1.425      
2 S 0.764      
3 O -0.731      
4 O -0.731      
5 O -0.363      
6 O -0.363      


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 -13.201 13.201
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -46.934 0.000 0.000
y 0.000 -49.465 0.000
z 0.000 0.000 -18.209
Traceless
 xyz
x -13.097 0.000 0.000
y 0.000 -16.894 0.000
z 0.000 0.000 29.990
Polar
3z2-r259.981
x2-y22.531
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 5.647 0.000 0.000
y 0.000 4.839 0.000
z 0.000 0.000 8.669


<r2> (average value of r2) Å2
<r2> 154.599
(<r2>)1/2 12.434