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

using model chemistry: PBEPBEultrafine/aug-cc-pVTZ

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/aug-cc-pVTZ
 hartrees
Energy at 0K-469.814666
Energy at 298.15K-469.818706
HF Energy-469.814666
Nuclear repulsion energy160.159774
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/aug-cc-pVTZ
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' 3803 3760 0.00      
2 A' 688 680 0.00      
3 A' 625 618 0.00      
4 A" 294 291 312.80      
5 A" 276 273 17.23      
6 E' 3802 3759 91.33      
6 E' 3802 3759 91.34      
7 E' 898 888 153.06      
7 E' 898 888 153.07      
8 E' 655 648 187.08      
8 E' 655 648 187.09      
9 E' 210 208 27.71      
9 E' 210 208 27.71      
10 E" 339 336 0.00      
10 E" 339 336 0.00      

Unscaled Zero Point Vibrational Energy (zpe) 8747.1 cm-1
Scaled (by 0.9888) Zero Point Vibrational Energy (zpe) 8649.2 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 PBEPBEultrafine/aug-cc-pVTZ
ABC
0.21357 0.21357 0.10678

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBEultrafine/aug-cc-pVTZ

Point Group is C3h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
Al1 0.000 0.000 0.000
O2 0.000 1.714 0.000
O3 -1.485 -0.857 0.000
O4 1.485 -0.857 0.000
H5 -0.831 2.207 0.000
H6 -1.496 -1.823 0.000
H7 2.327 -0.384 0.000

Atom - Atom Distances (Å)
  Al1 O2 O3 O4 H5 H6 H7
Al11.71451.71451.71452.35832.35832.3583
O21.71452.96962.96960.96603.84093.1333
O31.71452.96962.96963.13330.96603.8409
O41.71452.96962.96963.84093.13330.9660
H52.35830.96603.13333.84094.08484.0848
H62.35833.84090.96603.13334.08484.0848
H72.35833.13333.84090.96604.08484.0848

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 120.659 Al1 O3 H6 120.659
Al1 O4 H7 120.659 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/aug-cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 Al 0.947      
2 O -0.437      
3 O -0.437      
4 O -0.437      
5 H 0.121      
6 H 0.121      
7 H 0.121      


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 -28.555 0.000 0.000
y 0.000 -28.555 0.000
z 0.000 0.000 -28.171
Traceless
 xyz
x -0.192 0.000 0.000
y 0.000 -0.192 0.000
z 0.000 0.000 0.384
Polar
3z2-r20.767
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 6.225 0.000 0.000
y 0.000 6.225 0.000
z 0.000 0.000 5.190


<r2> (average value of r2) Å2
<r2> 104.987
(<r2>)1/2 10.246