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All results from a given calculation for Mg(OH)2 (Magnesium dihydroxide)

using model chemistry: mPW1PW91/6-31+G**

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 mPW1PW91/6-31+G**
Rotational Constants (cm-1) from geometry optimized at mPW1PW91/6-31+G**
See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/6-31+G**
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability

Conformer 2 (C2)

Jump to S1C1 S1C3
Energy calculated at mPW1PW91/6-31+G**
 hartrees
Energy at 0K-351.762816
Energy at 298.15K-351.764028
HF Energy-351.762816
Nuclear repulsion energy81.761675
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 mPW1PW91/6-31+G**
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 4083 3886 0.00      
2 A 592 563 0.00      
3 A 262 249 0.00      
4 A 161 153 28.45      
5 A 58 55 331.72      
6 B 4083 3886 168.31      
7 B 880 838 172.32      
8 B 252 240 344.42      
9 B 155 147 50.35      

Unscaled Zero Point Vibrational Energy (zpe) 5262.4 cm-1
Scaled (by 0.9518) Zero Point Vibrational Energy (zpe) 5008.8 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 mPW1PW91/6-31+G**
ABC
36.79198 0.14444 0.14387

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/6-31+G**

Point Group is C2

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
Mg1 0.000 0.000 0.000
O2 0.000 1.795 -0.000
O3 0.000 -1.795 -0.000
H4 -0.507 2.599 0.000
H5 0.507 -2.599 0.000

Atom - Atom Distances (Å)
  Mg1 O2 O3 H4 H5
Mg11.79471.79472.64802.6480
O21.79473.58940.95094.4228
O31.79473.58944.42280.9509
H42.64800.95094.42285.2960
H52.64804.42280.95095.2960

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 147.750 Mg1 O3 H5 147.750
O2 Mg1 O3 179.999
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/6-31+G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 Mg 1.187      
2 O -0.953      
3 O -0.953      
4 H 0.359      
5 H 0.359      


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 -18.922 -5.520 0.000
y -5.520 -24.370 0.000
z 0.000 0.000 -20.524
Traceless
 xyz
x 3.526 -5.520 0.000
y -5.520 -4.647 0.000
z 0.000 0.000 1.122
Polar
3z2-r22.243
x2-y25.449
xy-5.520
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.129 0.316 0.000
y 0.316 4.648 0.000
z 0.000 0.000 3.285


<r2> (average value of r2) Å2
<r2> 78.845
(<r2>)1/2 8.879

Conformer 3 (D*H)

Jump to S1C1 S1C2
Energy calculated at mPW1PW91/6-31+G**
 hartrees
Energy at 0K-351.762235
Energy at 298.15K 
HF Energy-351.762235
Nuclear repulsion energy82.389836
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 mPW1PW91/6-31+G**
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 4130 3931 0.00      
2 Σg 602 573 0.00      
3 Σu 4129 3930 233.87      
4 Σu 901 857 216.27      
5 Πg 176i 168i 0.00      
5 Πg 176i 168i 0.00      
6 Πu 170 162 31.58      
6 Πu 170 162 31.58      
7 Πu 148i 141i 333.46      
7 Πu 148i 141i 333.46      

Unscaled Zero Point Vibrational Energy (zpe) 4726.3 cm-1
Scaled (by 0.9518) Zero Point Vibrational Energy (zpe) 4498.5 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 mPW1PW91/6-31+G**
B
0.14578

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/6-31+G**

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 1.774
O3 0.000 0.000 -1.774
H4 0.000 0.000 2.722
H5 0.000 0.000 -2.722

Atom - Atom Distances (Å)
  Mg1 O2 O3 H4 H5
Mg11.77431.77432.72192.7219
O21.77433.54850.94764.4961
O31.77433.54854.49610.9476
H42.72190.94764.49615.4438
H52.72194.49610.94765.4438

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 mPW1PW91/6-31+G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 Mg 1.274      
2 O -0.996      
3 O -0.996      
4 H 0.359      
5 H 0.359      


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 -20.447 0.000 0.000
y 0.000 -20.447 0.000
z 0.000 0.000 -20.567
Traceless
 xyz
x 0.060 0.000 0.000
y 0.000 0.060 0.000
z 0.000 0.000 -0.120
Polar
3z2-r2-0.239
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 3.106 0.000 0.000
y 0.000 3.106 0.000
z 0.000 0.000 4.411


<r2> (average value of r2) Å2
<r2> 77.981
(<r2>)1/2 8.831