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: LSDA/6-31G(2df,p)

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 LSDA/6-31G(2df,p)
Rotational Constants (cm-1) from geometry optimized at LSDA/6-31G(2df,p)
See section I.F.4 to change rotational constant units
Geometric Data calculated at LSDA/6-31G(2df,p)
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability

Conformer 2 (C2)

Jump to S1C1 S1C3
Energy calculated at LSDA/6-31G(2df,p)
 hartrees
Energy at 0K-350.376709
Energy at 298.15K-350.378089
HF Energy-350.376709
Nuclear repulsion energy82.789912
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 LSDA/6-31G(2df,p)
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
4/u)
Dep P Dep U
1 A 3923 3860 6.92      
2 A 618 608 4.19      
3 A 296 291 37.67      
4 A 163 161 28.47      
5 A 71 70 141.48      
6 B 3923 3860 149.75      
7 B 935 920 93.91      
8 B 294 290 203.20      
9 B 161 159 34.42      

Unscaled Zero Point Vibrational Energy (zpe) 5192.0 cm-1
Scaled (by 0.984) Zero Point Vibrational Energy (zpe) 5108.9 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 LSDA/6-31G(2df,p)
ABC
23.71045 0.14909 0.14875

See section I.F.4 to change rotational constant units
Geometric Data calculated at LSDA/6-31G(2df,p)

Point Group is C2

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
Mg1 0.000 0.000 0.005
O2 0.000 1.769 -0.041
O3 0.000 -1.769 -0.041
H4 0.521 2.502 0.296
H5 -0.521 -2.502 0.296

Atom - Atom Distances (Å)
  Mg1 O2 O3 H4 H5
Mg11.77011.77012.57242.5724
O21.77013.53890.96024.3165
O31.77013.53894.31650.9602
H42.57240.96024.31655.1117
H52.57244.31650.96025.1117

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 138.906 Mg1 O3 H5 138.906
O2 Mg1 O3 176.998
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at LSDA/6-31G(2df,p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 Mg 0.364      
2 O -0.490      
3 O -0.490      
4 H 0.308      
5 H 0.308      


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 1.025 1.025
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -19.300 4.739 0.000
y 4.739 -22.199 0.000
z 0.000 0.000 -20.308
Traceless
 xyz
x 1.954 4.739 0.000
y 4.739 -2.395 0.000
z 0.000 0.000 0.442
Polar
3z2-r20.883
x2-y22.899
xy4.739
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 4.144 -0.224 0.000
y -0.224 4.731 0.000
z 0.000 0.000 4.228


<r2> (average value of r2) Å2
<r2> 76.231
(<r2>)1/2 8.731

Conformer 3 (D*H)

Jump to S1C1 S1C2
Energy calculated at LSDA/6-31G(2df,p)
 hartrees
Energy at 0K-350.375696
Energy at 298.15K 
HF Energy-350.375696
Nuclear repulsion energy83.832123
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 LSDA/6-31G(2df,p)
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 3991 3927 0.00      
2 Σg 634 624 0.00      
3 Σu 3991 3927 243.10      
4 Σu 985 969 136.76      
5 Πg 183i 180i 0.00      
5 Πg 183i 180i 0.00      
6 Πu 175 172 15.70      
6 Πu 175 172 15.70      
7 Πu 152i 149i 213.44      
7 Πu 152i 149i 213.44      

Unscaled Zero Point Vibrational Energy (zpe) 4640.6 cm-1
Scaled (by 0.984) Zero Point Vibrational Energy (zpe) 4566.3 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 LSDA/6-31G(2df,p)
B
0.15170

See section I.F.4 to change rotational constant units
Geometric Data calculated at LSDA/6-31G(2df,p)

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 1.737
O3 0.000 0.000 -1.737
H4 0.000 0.000 2.692
H5 0.000 0.000 -2.692

Atom - Atom Distances (Å)
  Mg1 O2 O3 H4 H5
Mg11.73701.73702.69232.6923
O21.73703.47400.95544.4293
O31.73703.47404.42930.9554
H42.69230.95544.42935.3847
H52.69234.42930.95545.3847

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 LSDA/6-31G(2df,p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 Mg 0.344      
2 O -0.491      
3 O -0.491      
4 H 0.319      
5 H 0.319      


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 -20.702 0.000 0.000
y 0.000 -20.702 0.000
z 0.000 0.000 -17.079
Traceless
 xyz
x -1.811 0.000 0.000
y 0.000 -1.811 0.000
z 0.000 0.000 3.623
Polar
3z2-r27.245
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 4.151 0.000 0.000
y 0.000 4.151 0.000
z 0.000 0.000 4.449


<r2> (average value of r2) Å2
<r2> 74.946
(<r2>)1/2 8.657