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

using model chemistry: PBEPBEultrafine/cc-pV(T+d)Z

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C3H 1A'
Energy calculated at PBEPBEultrafine/cc-pV(T+d)Z
 hartrees
Energy at 0K-469.811792
Energy at 298.15K-469.815848
HF Energy-469.811792
Nuclear repulsion energy160.977220
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 PBEPBEultrafine/cc-pV(T+d)Z
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' 3812 3812 0.00      
2 A' 692 692 0.00      
3 A' 625 625 0.00      
4 A" 295 295 325.64      
5 A" 274 274 5.46      
6 E' 3812 3812 88.51      
6 E' 3812 3812 88.51      
7 E' 912 912 133.91      
7 E' 912 912 133.92      
8 E' 648 648 195.24      
8 E' 648 648 195.25      
9 E' 213 213 26.57      
9 E' 213 213 26.57      
10 E" 343 343 0.00      
10 E" 343 343 0.00      

Unscaled Zero Point Vibrational Energy (zpe) 8777.0 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 8777.0 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 PBEPBEultrafine/cc-pV(T+d)Z
ABC
0.21593 0.21593 0.10796

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBEultrafine/cc-pV(T+d)Z

Point Group is C3h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
Al1 0.000 0.000 0.000
O2 0.000 1.705 0.000
O3 -1.477 -0.852 0.000
O4 1.477 -0.852 0.000
H5 -0.832 2.195 0.000
H6 -1.485 -1.818 0.000
H7 2.317 -0.377 0.000

Atom - Atom Distances (Å)
  Al1 O2 O3 O4 H5 H6 H7
Al11.70491.70491.70492.34752.34752.3475
O21.70492.95302.95300.96573.82323.1149
O31.70492.95302.95303.11490.96573.8232
O41.70492.95302.95303.82323.11490.9657
H52.34750.96573.11493.82324.06604.0660
H62.34753.82320.96573.11494.06604.0660
H72.34753.11493.82320.96574.06604.0660

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 120.502 Al1 O3 H6 120.502
Al1 O4 H7 120.502 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 PBEPBEultrafine/cc-pV(T+d)Z Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 Al 0.580      
2 O -0.389      
3 O -0.389      
4 O -0.389      
5 H 0.195      
6 H 0.195      
7 H 0.195      


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 -27.468 0.000 0.000
y 0.000 -27.468 0.000
z 0.000 0.000 -27.786
Traceless
 xyz
x 0.159 0.000 0.000
y 0.000 0.159 0.000
z 0.000 0.000 -0.319
Polar
3z2-r2-0.637
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 5.412 0.000 0.000
y 0.000 5.412 0.000
z 0.000 0.000 4.372


<r2> (average value of r2) Å2
<r2> 103.517
(<r2>)1/2 10.174