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

using model chemistry: B3LYP/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 B3LYP/cc-pVDZ
 hartrees
Energy at 0K-899.158536
Energy at 298.15K-899.161966
HF Energy-899.158536
Nuclear repulsion energy377.461891
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 B3LYP/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 1124 1090 222.75      
2 A1 739 716 187.61      
3 A1 718 697 87.67      
4 A1 545 528 8.98      
5 A1 368 357 40.95      
6 A2 327 317 0.00      
7 B1 1290 1251 190.06      
8 B1 495 480 34.32      
9 B1 109 106 37.37      
10 B2 729 707 258.74      
11 B2 581 563 51.90      
12 B2 437 424 3.85      

Unscaled Zero Point Vibrational Energy (zpe) 3730.3 cm-1
Scaled (by 0.97) Zero Point Vibrational Energy (zpe) 3618.4 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 B3LYP/cc-pVDZ
ABC
0.16639 0.07920 0.07809

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/cc-pVDZ

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
Mg1 0.000 0.000 -1.906
S2 0.000 0.000 0.600
O3 0.000 1.239 -0.505
O4 0.000 -1.239 -0.505
O5 -1.277 0.000 1.334
O6 1.277 0.000 1.334

Atom - Atom Distances (Å)
  Mg1 S2 O3 O4 O5 O6
Mg12.50541.87051.87053.48243.4824
S22.50541.66031.66031.47311.4731
O31.87051.66032.47902.55912.5591
O41.87051.66032.47902.55912.5591
O53.48241.47312.55912.55912.5540
O63.48241.47312.55912.55912.5540

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 90.203 Mg1 O4 S2 90.203
O3 Mg1 O4 83.008 O3 S2 O4 96.587
O3 S2 O5 109.372 O3 S2 O6 109.372
O4 S2 O5 109.372 O4 S2 O6 109.372
O5 S2 O6 120.190
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 Mg 0.827      
2 S 1.127      
3 O -0.554      
4 O -0.554      
5 O -0.423      
6 O -0.423      


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 -11.537 11.537
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -46.003 0.000 0.000
y 0.000 -48.363 0.000
z 0.000 0.000 -19.604
Traceless
 xyz
x -12.020 0.000 0.000
y 0.000 -15.559 0.000
z 0.000 0.000 27.579
Polar
3z2-r255.158
x2-y22.359
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 5.810 0.000 0.000
y 0.000 4.804 0.000
z 0.000 0.000 9.558


<r2> (average value of r2) Å2
<r2> 156.293
(<r2>)1/2 12.502