return to home page Computational Chemistry Comparison and Benchmark DataBase Release 22 (May 2022) Standard Reference Database 101 National Institute of Standards and Technology
You are here: Calculated > Energy > Optimized > Energy

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

using model chemistry: B97D3/3-21G

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 1A1
Energy calculated at B97D3/3-21G
 hartrees
Energy at 0K-894.073979
Energy at 298.15K-894.076665
HF Energy-894.073979
Nuclear repulsion energy355.492369
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 B97D3/3-21G
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 961 944 97.25      
2 A1 666 655 45.60      
3 A1 574 564 145.86      
4 A1 443 435 19.00      
5 A1 321 316 21.48      
6 A2 249 245 0.00      
7 B1 1105 1086 42.30      
8 B1 372 366 22.39      
9 B1 112 110 30.22      
10 B2 640 629 62.27      
11 B2 444 436 84.39      
12 B2 333 327 3.41      

Unscaled Zero Point Vibrational Energy (zpe) 3109.3 cm-1
Scaled (by 0.983) Zero Point Vibrational Energy (zpe) 3056.4 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 B97D3/3-21G
ABC
0.14517 0.07145 0.07002

See section I.F.4 to change rotational constant units
Geometric Data calculated at B97D3/3-21G

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
Mg1 0.000 0.000 -1.955
S2 0.000 0.000 0.635
O3 0.000 1.319 -0.590
O4 0.000 -1.319 -0.590
O5 -1.375 0.000 1.421
O6 1.375 0.000 1.421

Atom - Atom Distances (Å)
  Mg1 S2 O3 O4 O5 O6
Mg12.59031.89811.89813.64493.6449
S22.59031.80051.80051.58331.5833
O31.89811.80052.63812.77002.7700
O41.89811.80052.63812.77002.7700
O53.64491.58332.77002.77002.7496
O63.64491.58332.77002.77002.7496

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 88.872 Mg1 O4 S2 88.872
O3 Mg1 O4 88.043 O3 S2 O4 94.213
O3 S2 O5 109.731 O3 S2 O6 109.731
O4 S2 O5 109.731 O4 S2 O6 109.731
O5 S2 O6 120.528
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B97D3/3-21G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 Mg 0.877      
2 S 1.331      
3 O -0.593      
4 O -0.593      
5 O -0.511      
6 O -0.511      


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 -9.914 9.914
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -47.284 0.000 0.000
y 0.000 -50.202 0.000
z 0.000 0.000 -22.968
Traceless
 xyz
x -10.699 0.000 0.000
y 0.000 -15.076 0.000
z 0.000 0.000 25.775
Polar
3z2-r251.549
x2-y22.918
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 7.090 0.000 0.000
y 0.000 5.428 0.000
z 0.000 0.000 13.502


<r2> (average value of r2) Å2
<r2> 173.343
(<r2>)1/2 13.166