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 Mg(OH)2 (Magnesium dihydroxide)

using model chemistry: B3LYP/6-311G*

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 2 yes C2 1A
1 3 no D*H 1Σg

Conformer 1 (C2H)

Jump to S1C2 S1C3
Vibrational Frequencies calculated at B3LYP/6-311G*
Rotational Constants (cm-1) from geometry optimized at B3LYP/6-311G*
See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/6-311G*
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability

Conformer 2 (C2)

Jump to S1C1 S1C3
Energy calculated at B3LYP/6-311G*
 hartrees
Energy at 0K-351.861299
Energy at 298.15K 
HF Energy-351.861299
Nuclear repulsion energy81.811890
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 B3LYP/6-311G*
Rotational Constants (cm-1) from geometry optimized at B3LYP/6-311G*
ABC
25.01574 0.14489 0.14465

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/6-311G*

Point Group is C2

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
Mg1 0.000 0.000 0.007
O2 0.000 1.796 0.035
O3 0.000 -1.796 0.035
H4 -0.492 2.531 -0.321
H5 0.492 -2.531 -0.321

Atom - Atom Distances (Å)
  Mg1 O2 O3 H4 H5
Mg11.79581.79582.59922.5992
O21.79583.59120.95374.3691
O31.79583.59124.36910.9537
H42.59920.95374.36915.1570
H52.59924.36910.95375.1570

picture of Magnesium dihydroxide state 1 conformation 2
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
Mg1 O2 H4 139.938 Mg1 O3 H5 139.938
O2 Mg1 O3 178.223
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/6-311G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 Mg 0.962      
2 O -0.873      
3 O -0.873      
4 H 0.392      
5 H 0.392      


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 -1.221 1.221
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -18.854 -5.150 0.000
y -5.150 -23.950 0.000
z 0.000 0.000 -19.631
Traceless
 xyz
x 2.936 -5.150 0.000
y -5.150 -4.707 0.000
z 0.000 0.000 1.771
Polar
3z2-r23.542
x2-y25.095
xy-5.150
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.038 0.118 0.000
y 0.118 4.662 0.000
z 0.000 0.000 3.061


<r2> (average value of r2) Å2
<r2> 78.110
(<r2>)1/2 8.838

Conformer 3 (D*H)

Jump to S1C1 S1C2
Energy calculated at B3LYP/6-311G*
 hartrees
Energy at 0K-351.859662
Energy at 298.15K 
HF Energy-351.859662
Nuclear repulsion energy82.812132
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 B3LYP/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 Σg 4039 3903 0.00      
2 Σg 624 603 0.00      
3 Σu 4039 3902 128.47      
4 Σu 942 911 152.72      
5 Πg 263i 255i 0.00      
5 Πg 263i 255i 0.00      
6 Πu 163 158 32.34      
6 Πu 163 158 32.34      
7 Πu 241i 233i 321.17      
7 Πu 241i 233i 321.17      

Unscaled Zero Point Vibrational Energy (zpe) 4480.5 cm-1
Scaled (by 0.9663) Zero Point Vibrational Energy (zpe) 4329.5 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 B3LYP/6-311G*
B
0.14746

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/6-311G*

Point Group is D∞h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
Mg1 0.000 0.000 0.000
O2 0.000 0.000 1.764
O3 0.000 0.000 -1.764
H4 0.000 0.000 2.712
H5 0.000 0.000 -2.712

Atom - Atom Distances (Å)
  Mg1 O2 O3 H4 H5
Mg11.76361.76362.71202.7120
O21.76363.52720.94844.4756
O31.76363.52724.47560.9484
H42.71200.94844.47565.4240
H52.71204.47560.94845.4240

picture of Magnesium dihydroxide state 1 conformation 3
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
Mg1 O2 H4 180.000 Mg1 O3 H5 180.000
O2 Mg1 O3 180.000
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/6-311G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 Mg 1.037      
2 O -0.923      
3 O -0.923      
4 H 0.404      
5 H 0.404      


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 0.000 0.000
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -20.128 0.000 0.000
y 0.000 -20.128 0.000
z 0.000 0.000 -18.195
Traceless
 xyz
x -0.966 0.000 0.000
y 0.000 -0.966 0.000
z 0.000 0.000 1.932
Polar
3z2-r23.865
x2-y20.000
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 2.875 0.000 0.000
y 0.000 2.875 0.000
z 0.000 0.000 4.458


<r2> (average value of r2) Å2
<r2> 76.643
(<r2>)1/2 8.755