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

using model chemistry: TPSSh/3-21G*

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C3H 1A'
Energy calculated at TPSSh/3-21G*
 hartrees
Energy at 0K-467.546718
Energy at 298.15K-467.550671
HF Energy-467.546718
Nuclear repulsion energy161.011583
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 TPSSh/3-21G*
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' 3642 3517 0.00      
2 A' 743 717 0.00      
3 A' 585 565 0.00      
4 A" 291 281 352.10      
5 A" 241 233 163.69      
6 E' 3643 3518 34.85      
6 E' 3643 3518 34.80      
7 E' 1010 976 93.97      
7 E' 1010 976 93.97      
8 E' 599 579 282.66      
8 E' 599 579 282.62      
9 E' 242 234 30.57      
9 E' 242 234 30.56      
10 E" 304 294 0.00      
10 E" 304 294 0.00      

Unscaled Zero Point Vibrational Energy (zpe) 8550.0 cm-1
Scaled (by 0.9657) Zero Point Vibrational Energy (zpe) 8256.7 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 TPSSh/3-21G*
ABC
0.21665 0.21665 0.10833

See section I.F.4 to change rotational constant units
Geometric Data calculated at TPSSh/3-21G*

Point Group is C3h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
Al1 0.000 0.000 0.000
O2 0.000 1.698 0.000
O3 -1.470 -0.849 0.000
O4 1.470 -0.849 0.000
H5 -0.815 2.251 0.000
H6 -1.542 -1.831 0.000
H7 2.357 -0.420 0.000

Atom - Atom Distances (Å)
  Al1 O2 O3 O4 H5 H6 H7
Al11.69761.69761.69762.39392.39392.3939
O21.69762.94042.94040.98513.85103.1682
O31.69762.94042.94043.16820.98513.8510
O41.69762.94042.94043.85103.16820.9851
H52.39390.98513.16823.85104.14644.1464
H62.39393.85100.98513.16824.14644.1464
H72.39393.16823.85100.98514.14644.1464

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 124.169 Al1 O3 H6 124.169
Al1 O4 H7 124.169 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 TPSSh/3-21G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 Al 0.811      
2 O -0.642      
3 O -0.642      
4 O -0.642      
5 H 0.371      
6 H 0.371      
7 H 0.371      


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


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 4.342 -0.001 0.000
y -0.001 4.342 0.000
z 0.000 0.000 2.710


<r2> (average value of r2) Å2
<r2> 102.642
(<r2>)1/2 10.131