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

using model chemistry: B3LYPultrafine/6-311G*

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 1A1
Energy calculated at B3LYPultrafine/6-311G*
 hartrees
Energy at 0K-899.252490
Energy at 298.15K-899.256012
HF Energy-899.252490
Nuclear repulsion energy381.475321
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 B3LYPultrafine/6-311G*
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 1150 1111 251.28      
2 A1 750 725 302.91      
3 A1 730 706 6.24      
4 A1 562 543 10.07      
5 A1 381 369 47.79      
6 A2 345 334 0.00      
7 B1 1322 1278 234.41      
8 B1 524 506 40.16      
9 B1 112 108 39.72      
10 B2 736 711 307.29      
11 B2 590 570 32.75      
12 B2 450 434 1.27      

Unscaled Zero Point Vibrational Energy (zpe) 3825.6 cm-1
Scaled (by 0.9663) Zero Point Vibrational Energy (zpe) 3696.7 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 B3LYPultrafine/6-311G*
ABC
0.17181 0.08016 0.07916

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYPultrafine/6-311G*

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
Mg1 0.000 0.000 -1.911
S2 0.000 0.000 0.595
O3 0.000 1.222 -0.486
O4 0.000 -1.222 -0.486
O5 -1.255 0.000 1.324
O6 1.255 0.000 1.324

Atom - Atom Distances (Å)
  Mg1 S2 O3 O4 O5 O6
Mg12.50621.87711.87713.47023.4702
S22.50621.63121.63121.45141.4514
O31.87711.63122.44312.51862.5186
O41.87711.63122.44312.51862.5186
O53.47021.45142.51862.51862.5100
O63.47021.45142.51862.51862.5100

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 90.908 Mg1 O4 S2 90.908
O3 Mg1 O4 81.199 O3 S2 O4 96.985
O3 S2 O5 109.444 O3 S2 O6 109.444
O4 S2 O5 109.444 O4 S2 O6 109.444
O5 S2 O6 119.694
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYPultrafine/6-311G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 Mg 1.031      
2 S 1.230      
3 O -0.647      
4 O -0.647      
5 O -0.483      
6 O -0.483      


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 -12.557 12.557
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -46.965 0.000 0.000
y 0.000 -48.981 0.000
z 0.000 0.000 -19.531
Traceless
 xyz
x -12.709 0.000 0.000
y 0.000 -15.733 0.000
z 0.000 0.000 28.442
Polar
3z2-r256.883
x2-y22.016
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 5.780 0.000 0.000
y 0.000 4.864 0.000
z 0.000 0.000 9.057


<r2> (average value of r2) Å2
<r2> 154.444
(<r2>)1/2 12.428