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

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

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C3H 1A'
Energy calculated at PBEPBE/6-31+G**
 hartrees
Energy at 0K-469.697162
Energy at 298.15K-469.701197
HF Energy-469.697162
Nuclear repulsion energy159.365785
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 PBEPBE/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' 3820 3776 0.00      
2 A' 676 668 0.00      
3 A' 625 618 0.00      
4 A" 305 301 424.24      
5 A" 274 271 2.27      
6 E' 3819 3775 101.10      
6 E' 3819 3775 101.08      
7 E' 896 886 175.11      
7 E' 896 886 175.11      
8 E' 652 645 206.63      
8 E' 652 645 206.61      
9 E' 207 204 32.55      
9 E' 207 204 32.54      
10 E" 353 349 0.00      
10 E" 353 349 0.00      

Unscaled Zero Point Vibrational Energy (zpe) 8776.7 cm-1
Scaled (by 0.9886) Zero Point Vibrational Energy (zpe) 8676.7 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 PBEPBE/6-31+G**
ABC
0.21143 0.21143 0.10571

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

Point Group is C3h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
Al1 0.000 0.000 0.000
O2 0.000 1.723 0.000
O3 -1.492 -0.862 0.000
O4 1.492 -0.862 0.000
H5 -0.835 2.217 0.000
H6 -1.503 -1.832 0.000
H7 2.338 -0.386 0.000

Atom - Atom Distances (Å)
  Al1 O2 O3 O4 H5 H6 H7
Al11.72321.72321.72322.36932.36932.3693
O21.72322.98472.98470.97003.85953.1484
O31.72322.98472.98473.14840.97003.8595
O41.72322.98472.98473.85953.14840.9700
H52.36930.97003.14843.85954.10374.1037
H62.36933.85950.97003.14844.10374.1037
H72.36933.14843.85950.97004.10374.1037

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 120.623 Al1 O3 H6 120.623
Al1 O4 H7 120.623 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 PBEPBE/6-31+G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 Al 0.434      
2 O -0.497      
3 O -0.497      
4 O -0.497      
5 H 0.352      
6 H 0.352      
7 H 0.352      


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 -28.448 0.000 0.000
y 0.000 -28.448 0.000
z 0.000 0.000 -28.575
Traceless
 xyz
x 0.064 0.000 0.000
y 0.000 0.064 0.000
z 0.000 0.000 -0.127
Polar
3z2-r2-0.255
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 5.553 0.000 0.000
y 0.000 5.554 0.000
z 0.000 0.000 4.386


<r2> (average value of r2) Å2
<r2> 105.903
(<r2>)1/2 10.291