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

using model chemistry: B3LYP/SDD

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/SDD
 hartrees
Energy at 0K-898.931109
Energy at 298.15K-898.933641
HF Energy-898.931109
Nuclear repulsion energy351.924773
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/SDD
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 875 841 127.95      
2 A1 654 628 101.90      
3 A1 559 538 108.61      
4 A1 425 408 25.96      
5 A1 296 285 30.88      
6 A2 242 233 0.00      
7 B1 975 938 86.59      
8 B1 380 365 51.43      
9 B1 110 106 39.58      
10 B2 604 580 95.68      
11 B2 462 444 109.64      
12 B2 316 303 0.02      

Unscaled Zero Point Vibrational Energy (zpe) 2948.4 cm-1
Scaled (by 0.9613) Zero Point Vibrational Energy (zpe) 2834.3 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 B3LYP/SDD
ABC
0.14592 0.06934 0.06724

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

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
Mg1 0.000 0.000 -2.005
S2 0.000 0.000 0.659
O3 0.000 1.299 -0.604
O4 0.000 -1.299 -0.604
O5 -1.387 0.000 1.449
O6 1.387 0.000 1.449

Atom - Atom Distances (Å)
  Mg1 S2 O3 O4 O5 O6
Mg12.66411.91071.91073.72233.7223
S22.66411.81141.81141.59651.5965
O31.91071.81142.59752.79732.7973
O41.91071.81142.59752.79732.7973
O53.72231.59652.79732.79732.7745
O63.72231.59652.79732.79732.7745

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 91.372 Mg1 O4 S2 91.372
O3 Mg1 O4 85.644 O3 S2 O4 91.613
O3 S2 O5 110.180 O3 S2 O6 110.180
O4 S2 O5 110.180 O4 S2 O6 110.180
O5 S2 O6 120.677
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/SDD Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 Mg 1.219      
2 S 1.339      
3 O -0.740      
4 O -0.740      
5 O -0.539      
6 O -0.539      


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 -12.027 12.027
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -49.608 0.000 0.000
y 0.000 -53.167 0.000
z 0.000 0.000 -20.297
Traceless
 xyz
x -12.876 0.000 0.000
y 0.000 -18.214 0.000
z 0.000 0.000 31.091
Polar
3z2-r262.181
x2-y23.559
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 7.209 0.000 0.000
y 0.000 5.903 0.000
z 0.000 0.000 12.155


<r2> (average value of r2) Å2
<r2> 178.025
(<r2>)1/2 13.343