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

using model chemistry: PBE1PBE/6-31G(2df,p)

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C3H 1A'
Energy calculated at PBE1PBE/6-31G(2df,p)
 hartrees
Energy at 0K-469.727706
Energy at 298.15K-469.731908
HF Energy-469.727706
Nuclear repulsion energy162.443177
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 PBE1PBE/6-31G(2df,p)
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' 3980 3809 0.00      
2 A' 724 693 0.00      
3 A' 667 639 0.00      
4 A" 316 302 367.80      
5 A" 280 268 13.72      
6 E' 3979 3808 115.42      
6 E' 3979 3808 115.43      
7 E' 961 920 135.36      
7 E' 961 920 135.37      
8 E' 691 662 220.91      
8 E' 691 662 220.90      
9 E' 217 207 27.54      
9 E' 217 207 27.53      
10 E" 353 338 0.00      
10 E" 353 338 0.00      

Unscaled Zero Point Vibrational Energy (zpe) 9184.5 cm-1
Scaled (by 0.957) Zero Point Vibrational Energy (zpe) 8789.5 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 PBE1PBE/6-31G(2df,p)
ABC
0.21981 0.21981 0.10990

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBE1PBE/6-31G(2df,p)

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 -1.464 -0.845 0.000
O4 1.464 -0.845 0.000
H5 -0.827 2.168 0.000
H6 -1.465 -1.800 0.000
H7 2.291 -0.368 0.000

Atom - Atom Distances (Å)
  Al1 O2 O3 O4 H5 H6 H7
Al11.69031.69031.69032.32072.32072.3207
O21.69032.92772.92770.95503.78533.0803
O31.69032.92772.92773.08030.95503.7853
O41.69032.92772.92773.78533.08030.9550
H52.32070.95503.08033.78534.01964.0196
H62.32073.78530.95503.08034.01964.0196
H72.32073.08033.78530.95504.01964.0196

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 120.045 Al1 O3 H6 120.045
Al1 O4 H7 120.045 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 PBE1PBE/6-31G(2df,p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 Al 0.939      
2 O -0.629      
3 O -0.629      
4 O -0.629      
5 H 0.316      
6 H 0.316      
7 H 0.316      


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 -26.704 0.000 0.000
y 0.000 -26.704 0.000
z 0.000 0.000 -26.958
Traceless
 xyz
x 0.127 0.000 0.000
y 0.000 0.127 0.000
z 0.000 0.000 -0.254
Polar
3z2-r2-0.508
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 4.654 -0.000 0.000
y -0.000 4.653 0.000
z 0.000 0.000 3.713


<r2> (average value of r2) Å2
<r2> 101.462
(<r2>)1/2 10.073