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 Al(CH3)3 (trimethyl aluminum)

using model chemistry: PBEPBE/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 PBEPBE/3-21G
 hartrees
Energy at 0K-359.876479
Energy at 298.15K-359.884191
HF Energy-359.876479
Nuclear repulsion energy148.469384
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 PBEPBE/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' 3054 3026 0.00      
2 A' 2955 2929 0.00      
3 A' 1483 1469 0.00      
4 A' 1272 1261 0.00      
5 A' 644 638 0.00      
6 A' 509 505 0.00      
7 A" 3023 2995 35.95      
8 A" 1486 1473 9.44      
9 A" 791 784 146.13      
10 A" 181 180 4.35      
11 A" 67 67 0.19      
12 E' 3054 3026 22.97      
12 E' 3054 3026 22.97      
13 E' 2954 2927 7.09      
13 E' 2954 2927 7.08      
14 E' 1481 1468 2.43      
14 E' 1481 1468 2.43      
15 E' 1267 1256 52.36      
15 E' 1267 1256 52.35      
16 E' 810 803 170.32      
16 E' 810 803 170.32      
17 E' 655 649 9.23      
17 E' 655 649 9.24      
18 E' 162 160 2.48      
18 E' 162 160 2.48      
19 E" 3023 2995 0.00      
19 E" 3023 2995 0.00      
20 E" 1483 1470 0.00      
20 E" 1483 1470 0.00      
21 E" 629 624 0.00      
21 E" 629 624 0.00      
22 E" 49 49 0.00      
22 E" 49 49 0.00      

Unscaled Zero Point Vibrational Energy (zpe) 23300.0 cm-1
Scaled (by 0.9909) Zero Point Vibrational Energy (zpe) 23088.0 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 PBEPBE/3-21G
ABC
0.15994 0.15994 0.08376

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBE/3-21G

Point Group is C3h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
Al1 0.000 0.000 0.000
C2 0.000 2.000 0.000
C3 -1.732 -1.000 0.000
C4 1.732 -1.000 0.000
H5 -1.021 2.422 0.000
H6 -1.587 -2.095 0.000
H7 2.608 -0.327 0.000
H8 0.534 2.394 0.888
H9 0.534 2.394 -0.888
H10 -2.340 -0.735 0.888
H11 -2.340 -0.735 -0.888
H12 1.807 -1.659 0.888
H13 1.807 -1.659 -0.888

Atom - Atom Distances (Å)
  Al1 C2 C3 C4 H5 H6 H7 H8 H9 H10 H11 H12 H13
Al12.00002.00002.00002.62842.62842.62842.60872.60872.60872.60872.60872.6087
C22.00003.46413.46411.10494.39203.49491.10841.10843.70743.70744.17644.1764
C32.00003.46413.46413.49491.10494.39204.17644.17641.10841.10843.70743.7074
C42.00003.46413.46414.39203.49491.10493.70743.70744.17644.17641.10841.1084
H52.62841.10493.49494.39204.55254.55251.79071.79073.53463.53465.04395.0439
H62.62844.39201.10493.49494.55254.55255.04395.04391.79071.79073.53463.5346
H72.62843.49494.39201.10494.55254.55253.53463.53465.04395.04391.79071.7907
H82.60871.10844.17643.70741.79075.04393.53461.77564.24874.60484.24874.6048
H92.60871.10844.17643.70741.79075.04393.53461.77564.60484.24874.60484.2487
H102.60873.70741.10844.17643.53461.79075.04394.24874.60481.77564.24874.6048
H112.60873.70741.10844.17643.53461.79075.04394.60484.24871.77564.60484.2487
H122.60874.17643.70741.10845.04393.53461.79074.24874.60484.24874.60481.7756
H132.60874.17643.70741.10845.04393.53461.79074.60484.24874.60484.24871.7756

picture of trimethyl aluminum state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
Al1 C2 H5 112.448 Al1 C2 H8 110.835
Al1 C2 H9 110.835 Al1 C3 H6 112.448
Al1 C3 H10 110.835 Al1 C3 H11 110.835
Al1 C4 H7 112.448 Al1 C4 H12 110.835
Al1 C4 H13 110.835 C2 Al1 C3 120.000
C2 Al1 C4 120.000 C3 Al1 C4 120.000
H5 C2 H8 108.013 H5 C2 H9 108.013
H6 C3 H10 108.013 H6 C3 H11 108.013
H7 C4 H12 108.013 H7 C4 H13 108.013
H8 C2 H9 106.454 H10 C3 H11 106.454
H12 C4 H13 106.454
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/3-21G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 Al 1.038      
2 C -0.990      
3 C -0.990      
4 C -0.990      
5 H 0.215      
6 H 0.215      
7 H 0.215      
8 H 0.215      
9 H 0.215      
10 H 0.215      
11 H 0.215      
12 H 0.215      
13 H 0.215      


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 -35.989 0.000 0.000
y 0.000 -35.989 0.000
z 0.000 0.000 -31.243
Traceless
 xyz
x -2.373 0.000 0.000
y 0.000 -2.373 0.000
z 0.000 0.000 4.746
Polar
3z2-r29.492
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 8.646 0.000 0.000
y 0.000 8.646 0.000
z 0.000 0.000 6.484


<r2> (average value of r2) Å2
<r2> 155.047
(<r2>)1/2 12.452