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

using model chemistry: mPW1PW91/cc-pVTZ

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 1A1
Energy calculated at mPW1PW91/cc-pVTZ
 hartrees
Energy at 0K-899.251627
Energy at 298.15K-899.255360
HF Energy-899.251627
Nuclear repulsion energy387.782877
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 mPW1PW91/cc-pVTZ
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 1211 1162 255.25      
2 A1 819 785 261.90      
3 A1 768 737 50.74      
4 A1 588 564 7.89      
5 A1 397 381 53.04      
6 A2 373 357 0.00      
7 B1 1378 1322 243.73      
8 B1 554 531 36.56      
9 B1 101 97 39.77      
10 B2 808 775 386.26      
11 B2 649 622 4.02      
12 B2 473 454 0.63      

Unscaled Zero Point Vibrational Energy (zpe) 4059.1 cm-1
Scaled (by 0.9592) Zero Point Vibrational Energy (zpe) 3893.5 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 mPW1PW91/cc-pVTZ
ABC
0.17639 0.08323 0.08208

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/cc-pVTZ

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
Mg1 0.000 0.000 -1.873
S2 0.000 0.000 0.574
O3 0.000 1.204 -0.473
O4 0.000 -1.204 -0.473
O5 -1.240 0.000 1.304
O6 1.240 0.000 1.304

Atom - Atom Distances (Å)
  Mg1 S2 O3 O4 O5 O6
Mg12.44661.84651.84653.41003.4100
S22.44661.59531.59531.43901.4390
O31.84651.59532.40802.47862.4786
O41.84651.59532.40802.47862.4786
O53.41001.43902.47862.47862.4802
O63.41001.43902.47862.47862.4802

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 90.303 Mg1 O4 S2 90.303
O3 Mg1 O4 81.390 O3 S2 O4 98.003
O3 S2 O5 109.438 O3 S2 O6 109.438
O4 S2 O5 109.438 O4 S2 O6 109.438
O5 S2 O6 119.035
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 Mg 0.832      
2 S 1.043      
3 O -0.481      
4 O -0.481      
5 O -0.457      
6 O -0.457      


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 -12.635 12.635
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -45.840 0.000 0.000
y 0.000 -47.300 0.000
z 0.000 0.000 -18.913
Traceless
 xyz
x -12.733 0.000 0.000
y 0.000 -14.924 0.000
z 0.000 0.000 27.657
Polar
3z2-r255.314
x2-y21.460
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 5.891 0.000 0.000
y 0.000 5.122 0.000
z 0.000 0.000 8.244


<r2> (average value of r2) Å2
<r2> 149.256
(<r2>)1/2 12.217