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

using model chemistry: PBEPBE/3-21G

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 1A1
Energy calculated at PBEPBE/3-21G
 hartrees
Energy at 0K-893.641408
Energy at 298.15K-893.644100
HF Energy-893.641408
Nuclear repulsion energy355.610652
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 PBEPBE/3-21G
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 962 954 94.60      
2 A1 677 671 38.21      
3 A1 582 577 150.67      
4 A1 443 439 13.57      
5 A1 321 318 20.04      
6 A2 242 240 0.00      
7 B1 1107 1096 37.55      
8 B1 365 362 18.98      
9 B1 112 111 27.95      
10 B2 649 643 54.20      
11 B2 455 451 78.00      
12 B2 329 326 4.61      

Unscaled Zero Point Vibrational Energy (zpe) 3122.3 cm-1
Scaled (by 0.9909) Zero Point Vibrational Energy (zpe) 3093.8 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 PBEPBE/3-21G
ABC
0.14463 0.07167 0.07029

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBE/3-21G

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
Mg1 0.000 0.000 -1.946
S2 0.000 0.000 0.633
O3 0.000 1.323 -0.592
O4 0.000 -1.323 -0.592
O5 -1.376 0.000 1.419
O6 1.376 0.000 1.419

Atom - Atom Distances (Å)
  Mg1 S2 O3 O4 O5 O6
Mg12.57861.89281.89283.63553.6355
S22.57861.80271.80271.58501.5850
O31.89281.80272.64552.77282.7728
O41.89281.80272.64552.77282.7728
O53.63551.58502.77282.77282.7523
O63.63551.58502.77282.77282.7523

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 88.461 Mg1 O4 S2 88.461
O3 Mg1 O4 88.669 O3 S2 O4 94.408
O3 S2 O5 109.699 O3 S2 O6 109.699
O4 S2 O5 109.699 O4 S2 O6 109.699
O5 S2 O6 120.507
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/3-21G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 Mg 0.817      
2 S 1.271      
3 O -0.557      
4 O -0.557      
5 O -0.487      
6 O -0.487      


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 -9.436 9.436
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -47.382 0.000 0.000
y 0.000 -50.195 0.000
z 0.000 0.000 -24.031
Traceless
 xyz
x -10.269 0.000 0.000
y 0.000 -14.489 0.000
z 0.000 0.000 24.758
Polar
3z2-r249.515
x2-y22.813
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 7.192 0.000 0.000
y 0.000 5.513 0.000
z 0.000 0.000 13.555


<r2> (average value of r2) Å2
<r2> 173.286
(<r2>)1/2 13.164