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/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 PBEPBEultrafine/3-21G
 hartrees
Energy at 0K-467.061646
Energy at 298.15K-467.065283
HF Energy-467.061646
Nuclear repulsion energy159.121808
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/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' 3564 3531 0.00      
2 A' 735 729 0.00      
3 A' 549 544 0.00      
4 A" 235 233 52.03      
5 A" 195 193 477.59      
6 E' 3568 3535 33.53      
6 E' 3568 3535 33.53      
7 E' 978 969 53.84      
7 E' 978 969 53.84      
8 E' 579 574 263.27      
8 E' 579 574 263.26      
9 E' 251 248 27.52      
9 E' 251 248 27.52      
10 E" 245 243 0.00      
10 E" 245 243 0.00      

Unscaled Zero Point Vibrational Energy (zpe) 8259.7 cm-1
Scaled (by 0.9909) Zero Point Vibrational Energy (zpe) 8184.6 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/3-21G
ABC
0.21139 0.21139 0.10569

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBEultrafine/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 1.719 0.000
O3 -1.488 -0.859 0.000
O4 1.488 -0.859 0.000
H5 -0.814 2.284 0.000
H6 -1.571 -1.847 0.000
H7 2.385 -0.437 0.000

Atom - Atom Distances (Å)
  Al1 O2 O3 O4 H5 H6 H7
Al11.71861.71861.71862.42422.42422.4242
O21.71862.97672.97670.99083.89593.2143
O31.71862.97672.97673.21430.99083.8959
O41.71862.97672.97673.89593.21430.9908
H52.42420.99083.21433.89594.19894.1989
H62.42423.89590.99083.21434.19894.1989
H72.42423.21433.89590.99084.19894.1989

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 124.762 Al1 O3 H6 124.762
Al1 O4 H7 124.762 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/3-21G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 Al 0.973      
2 O -0.698      
3 O -0.698      
4 O -0.698      
5 H 0.374      
6 H 0.374      
7 H 0.374      


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 -26.465 0.000 0.000
y 0.000 -26.465 0.000
z 0.000 0.000 -27.752
Traceless
 xyz
x 0.644 0.000 0.000
y 0.000 0.644 0.000
z 0.000 0.000 -1.287
Polar
3z2-r2-2.574
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 4.961 0.000 0.000
y 0.000 4.961 0.000
z 0.000 0.000 2.820


<r2> (average value of r2) Å2
<r2> 105.314
(<r2>)1/2 10.262