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

using model chemistry: B97D3/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 B97D3/TZVP
 hartrees
Energy at 0K-899.067898
Energy at 298.15K-899.071135
HF Energy-899.067898
Nuclear repulsion energy375.880654
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 B97D3/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 1090 1074 207.76      
2 A1 696 686 255.16      
3 A1 661 652 7.81      
4 A1 521 514 14.89      
5 A1 352 347 43.36      
6 A2 316 312 0.00      
7 B1 1254 1236 219.08      
8 B1 484 478 32.52      
9 B1 101 99 41.94      
10 B2 670 660 273.38      
11 B2 535 527 51.80      
12 B2 419 413 0.28      

Unscaled Zero Point Vibrational Energy (zpe) 3549.1 cm-1
Scaled (by 0.9856) Zero Point Vibrational Energy (zpe) 3498.0 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 B97D3/TZVP
ABC
0.16585 0.07810 0.07721

See section I.F.4 to change rotational constant units
Geometric Data calculated at B97D3/TZVP

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
Mg1 0.000 0.000 -1.929
S2 0.000 0.000 0.602
O3 0.000 1.245 -0.497
O4 0.000 -1.245 -0.497
O5 -1.276 0.000 1.341
O6 1.276 0.000 1.341

Atom - Atom Distances (Å)
  Mg1 S2 O3 O4 O5 O6
Mg12.53111.89721.89723.50983.5098
S22.53111.66111.66111.47411.4741
O31.89721.66112.49002.56062.5606
O41.89721.66112.49002.56062.5606
O53.50981.47412.56062.56062.5514
O63.50981.47412.56062.56062.5514

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 90.437 Mg1 O4 S2 90.437
O3 Mg1 O4 82.027 O3 S2 O4 97.099
O3 S2 O5 109.373 O3 S2 O6 109.373
O4 S2 O5 109.373 O4 S2 O6 109.373
O5 S2 O6 119.854
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B97D3/TZVP Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 Mg 1.364      
2 S 0.686      
3 O -0.695      
4 O -0.695      
5 O -0.330      
6 O -0.330      


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 -12.577 12.577
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -46.756 0.000 0.000
y 0.000 -49.654 0.000
z 0.000 0.000 -18.719
Traceless
 xyz
x -12.570 0.000 0.000
y 0.000 -16.917 0.000
z 0.000 0.000 29.487
Polar
3z2-r258.973
x2-y22.898
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 6.202 0.000 0.000
y 0.000 5.311 0.000
z 0.000 0.000 10.364


<r2> (average value of r2) Å2
<r2> 157.983
(<r2>)1/2 12.569