return to home page Computational Chemistry Comparison and Benchmark DataBase Release 22 (May 2022) Standard Reference Database 101 National Institute of Standards and Technology
You are here: Calculated > Energy > Optimized > Energy

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

using model chemistry: PBEPBEultrafine/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 PBEPBEultrafine/6-31G*
 hartrees
Energy at 0K-469.650911
Energy at 298.15K-469.654862
HF Energy-469.650911
Nuclear repulsion energy159.689980
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/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' 3730 3668 0.00      
2 A' 696 685 0.00      
3 A' 649 638 0.00      
4 A" 275 271 250.53      
5 A" 237 233 158.71      
6 E' 3730 3668 66.87      
6 E' 3730 3668 66.87      
7 E' 917 901 123.41      
7 E' 917 901 123.41      
8 E' 704 693 210.39      
8 E' 704 693 210.39      
9 E' 217 213 28.02      
9 E' 217 213 28.02      
10 E" 315 310 0.00      
10 E" 315 310 0.00      

Unscaled Zero Point Vibrational Energy (zpe) 8675.1 cm-1
Scaled (by 0.9835) Zero Point Vibrational Energy (zpe) 8531.9 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 PBEPBEultrafine/6-31G*
ABC
0.21253 0.21253 0.10627

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBEultrafine/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 1.722 0.000
O3 -1.491 -0.861 0.000
O4 1.491 -0.861 0.000
H5 -0.871 2.158 0.000
H6 -1.434 -1.833 0.000
H7 2.304 -0.325 0.000

Atom - Atom Distances (Å)
  Al1 O2 O3 O4 H5 H6 H7
Al11.72181.72181.72182.32732.32732.3273
O21.72182.98232.98230.97413.83333.0822
O31.72182.98232.98233.08220.97413.8333
O41.72182.98232.98233.83333.08220.9741
H52.32730.97413.08223.83334.03094.0309
H62.32733.83330.97413.08224.03094.0309
H72.32733.08223.83330.97414.03094.0309

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 116.613 Al1 O3 H6 116.613
Al1 O4 H7 116.613 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/6-31G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 Al 0.893      
2 O -0.710      
3 O -0.710      
4 O -0.710      
5 H 0.413      
6 H 0.413      
7 H 0.413      


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 -27.406 0.000 0.000
y 0.000 -27.406 0.000
z 0.000 0.000 -27.626
Traceless
 xyz
x 0.110 0.000 0.000
y 0.000 0.110 0.000
z 0.000 0.000 -0.220
Polar
3z2-r2-0.439
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 4.903 0.000 0.000
y 0.000 4.903 0.000
z 0.000 0.000 3.474


<r2> (average value of r2) Å2
<r2> 104.565
(<r2>)1/2 10.226