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All results from a given calculation for H3AlO3 (Aluminum hydroxide)

using model chemistry: PBE1PBE/6-31G

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C3H 1A'
Energy calculated at PBE1PBE/6-31G
 hartrees
Energy at 0K-469.592081
Energy at 298.15K-469.595863
HF Energy-469.592081
Nuclear repulsion energy160.370508
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 PBE1PBE/6-31G
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' 4000 3824 0.00      
2 A' 731 699 0.00      
3 A' 431 412 0.00      
4 A" 382 366 844.63      
5 A" 279 267 3.36      
6 E' 4000 3824 142.28      
6 E' 4000 3824 142.29      
7 E' 980 937 125.35      
7 E' 980 937 125.30      
8 E' 420 401 349.10      
8 E' 419 401 349.05      
9 E' 234 224 69.08      
9 E' 234 224 69.10      
10 E" 348 332 0.00      
10 E" 348 332 0.00      

Unscaled Zero Point Vibrational Energy (zpe) 8893.1 cm-1
Scaled (by 0.9559) Zero Point Vibrational Energy (zpe) 8500.9 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 PBE1PBE/6-31G
ABC
0.21333 0.21333 0.10666

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBE1PBE/6-31G

Point Group is C3h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
Al1 0.000 0.000 0.000
O2 0.000 1.701 0.000
O3 -1.473 -0.851 0.000
O4 1.473 -0.851 0.000
H5 -0.599 2.445 0.000
H6 -1.818 -1.742 0.000
H7 2.417 -0.703 0.000

Atom - Atom Distances (Å)
  Al1 O2 O3 O4 H5 H6 H7
Al11.70131.70131.70132.51752.51752.5175
O21.70132.94672.94670.95533.89343.4097
O31.70132.94672.94673.40970.95533.8934
O41.70132.94672.94673.89343.40970.9553
H52.51750.95533.40973.89344.36054.3605
H62.51753.89340.95533.40974.36054.3605
H72.51753.40973.89340.95534.36054.3605

picture of Aluminum hydroxide state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
Al1 O2 H5 141.139 Al1 O3 H6 141.139
Al1 O4 H7 141.139 O2 Al1 O3 120.000
O2 Al1 O4 120.000 O3 Al1 O4 120.000
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBE1PBE/6-31G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 Al 1.529      
2 O -0.929      
3 O -0.929      
4 O -0.929      
5 H 0.419      
6 H 0.419      
7 H 0.419      


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 -25.724 0.000 0.000
y 0.000 -25.724 0.000
z 0.000 0.000 -27.209
Traceless
 xyz
x 0.742 0.000 0.000
y 0.000 0.742 0.000
z 0.000 0.000 -1.485
Polar
3z2-r2-2.970
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 4.183 -0.000 0.000
y -0.000 4.183 0.000
z 0.000 0.000 2.317


<r2> (average value of r2) Å2
<r2> 104.853
(<r2>)1/2 10.240