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

using model chemistry: B97D3/aug-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 B97D3/aug-cc-pVTZ
 hartrees
Energy at 0K-899.150984
Energy at 298.15K-899.154397
HF Energy-899.150984
Nuclear repulsion energy381.677095
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/aug-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 1123 1106 219.87      
2 A1 725 714 268.30      
3 A1 700 689 6.38      
4 A1 546 538 14.34      
5 A1 372 366 44.45      
6 A2 337 332 0.00      
7 B1 1282 1263 207.54      
8 B1 505 497 22.49      
9 B1 95 94 36.84      
10 B2 714 703 303.39      
11 B2 568 560 41.23      
12 B2 439 433 0.75      

Unscaled Zero Point Vibrational Energy (zpe) 3703.4 cm-1
Scaled (by 0.9847) Zero Point Vibrational Energy (zpe) 3646.8 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/aug-cc-pVTZ
ABC
0.17026 0.08066 0.07993

See section I.F.4 to change rotational constant units
Geometric Data calculated at B97D3/aug-cc-pVTZ

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
Mg1 0.000 0.000 -1.895
S2 0.000 0.000 0.585
O3 0.000 1.232 -0.485
O4 0.000 -1.232 -0.485
O5 -1.256 0.000 1.322
O6 1.256 0.000 1.322

Atom - Atom Distances (Å)
  Mg1 S2 O3 O4 O5 O6
Mg12.47941.87221.87223.45313.4531
S22.47941.63141.63141.45631.4563
O31.87221.63142.46382.52172.5217
O41.87221.63142.46382.52172.5217
O53.45311.45632.52172.52172.5120
O63.45311.45632.52172.52172.5120

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 89.819 Mg1 O4 S2 89.819
O3 Mg1 O4 82.293 O3 S2 O4 98.070
O3 S2 O5 109.380 O3 S2 O6 109.380
O4 S2 O5 109.380 O4 S2 O6 109.380
O5 S2 O6 119.185
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B97D3/aug-cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 Mg 1.029      
2 S 2.287      
3 O -0.821      
4 O -0.821      
5 O -0.838      
6 O -0.838      


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 -12.187 12.187
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -46.485 0.000 0.000
y 0.000 -48.299 0.000
z 0.000 0.000 -19.711
Traceless
 xyz
x -12.480 0.000 0.000
y 0.000 -15.201 0.000
z 0.000 0.000 27.681
Polar
3z2-r255.363
x2-y21.814
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 7.579 0.000 0.000
y 0.000 6.762 0.000
z 0.000 0.000 10.818


<r2> (average value of r2) Å2
<r2> 153.625
(<r2>)1/2 12.395