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

using model chemistry: HSEh1PBE/6-311+G(3df,2p)

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C3H 1A'
Energy calculated at HSEh1PBE/6-311+G(3df,2p)
 hartrees
Energy at 0K-469.863257
Energy at 298.15K-469.867418
HF Energy-469.863257
Nuclear repulsion energy162.286103
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 HSEh1PBE/6-311+G(3df,2p)
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' 3995 3995 0.00      
2 A' 709 709 0.00      
3 A' 626 626 0.00      
4 A" 323 323 393.55      
5 A" 287 287 0.98      
6 E' 3993 3993 126.69      
6 E' 3993 3993 126.68      
7 E' 940 940 177.25      
7 E' 940 940 177.26      
8 E' 637 637 217.87      
8 E' 637 637 217.92      
9 E' 221 221 30.23      
9 E' 221 221 30.25      
10 E" 356 356 0.00      
10 E" 356 356 0.00      

Unscaled Zero Point Vibrational Energy (zpe) 9117.2 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 9117.2 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 HSEh1PBE/6-311+G(3df,2p)
ABC
0.21923 0.21923 0.10962

See section I.F.4 to change rotational constant units
Geometric Data calculated at HSEh1PBE/6-311+G(3df,2p)

Point Group is C3h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
Al1 0.000 0.000 0.000
O2 0.000 1.690 0.000
O3 -1.463 -0.845 0.000
O4 1.463 -0.845 0.000
H5 -0.793 2.218 0.000
H6 -1.524 -1.796 0.000
H7 2.318 -0.422 0.000

Atom - Atom Distances (Å)
  Al1 O2 O3 O4 H5 H6 H7
Al11.68971.68971.68972.35572.35572.3557
O21.68972.92672.92670.95323.80463.1353
O31.68972.92672.92673.13530.95323.8046
O41.68972.92672.92673.80463.13540.9532
H52.35570.95323.13533.80464.08024.0802
H62.35573.80460.95323.13544.08024.0802
H72.35573.13533.80460.95324.08024.0802

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 123.658 Al1 O3 H6 123.658
Al1 O4 H7 123.658 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 HSEh1PBE/6-311+G(3df,2p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 Al 1.234      
2 O -0.636      
3 O -0.636      
4 O -0.636      
5 H 0.225      
6 H 0.225      
7 H 0.225      


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 -27.764 0.000 0.000
y 0.000 -27.764 0.000
z 0.000 0.000 -27.534
Traceless
 xyz
x -0.115 0.000 0.000
y 0.000 -0.115 0.000
z 0.000 0.000 0.231
Polar
3z2-r20.462
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 5.393 -0.000 0.000
y -0.000 5.394 0.000
z 0.000 0.000 4.502


<r2> (average value of r2) Å2
<r2> 102.467
(<r2>)1/2 10.123