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All results from a given calculation for Al(CH3)3 (trimethyl aluminum)

using model chemistry: PBEPBE/6-31G

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/6-31G
 hartrees
Energy at 0K-361.807055
Energy at 298.15K-361.814607
HF Energy-361.807055
Nuclear repulsion energy148.883739
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/6-31G
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' 3077 3035 0.00      
2 A' 2968 2927 0.00      
3 A' 1461 1440 0.00      
4 A' 1262 1244 0.00      
5 A' 641 632 0.00      
6 A' 493 486 0.00      
7 A" 3049 3007 46.50      
8 A" 1462 1441 11.54      
9 A" 786 776 132.96      
10 A" 180 177 4.24      
11 A" 50 50 0.22      
12 E' 3078 3036 30.60      
12 E' 3078 3036 30.60      
13 E' 2966 2925 13.74      
13 E' 2966 2925 13.74      
14 E' 1457 1437 3.36      
14 E' 1457 1437 3.36      
15 E' 1256 1239 52.52      
15 E' 1256 1239 52.52      
16 E' 806 795 160.24      
16 E' 806 795 160.23      
17 E' 637 629 13.14      
17 E' 637 629 13.14      
18 E' 162 160 2.72      
18 E' 162 160 2.72      
19 E" 3049 3007 0.00      
19 E" 3049 3007 0.00      
20 E" 1460 1440 0.00      
20 E" 1460 1440 0.00      
21 E" 623 614 0.00      
21 E" 623 614 0.00      
22 E" 33 32 0.00      
22 E" 33 32 0.00      

Unscaled Zero Point Vibrational Energy (zpe) 23243.0 cm-1
Scaled (by 0.9862) Zero Point Vibrational Energy (zpe) 22922.2 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 PBEPBE/6-31G
ABC
0.16094 0.16094 0.08430

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBE/6-31G

Point Group is C3h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
Al1 0.000 0.000 0.000
C2 0.000 1.993 0.000
C3 -1.726 -0.997 0.000
C4 1.726 -0.997 0.000
H5 -1.020 2.415 0.000
H6 -1.582 -2.091 0.000
H7 2.602 -0.324 0.000
H8 0.533 2.387 0.887
H9 0.533 2.387 -0.887
H10 -2.334 -0.732 0.887
H11 -2.334 -0.732 -0.887
H12 1.801 -1.655 0.887
H13 1.801 -1.655 -0.887

Atom - Atom Distances (Å)
  Al1 C2 C3 C4 H5 H6 H7 H8 H9 H10 H11 H12 H13
Al11.99311.99311.99312.62182.62182.62182.60172.60172.60172.60172.60172.6017
C21.99313.45223.45221.10394.37963.48411.10721.10723.69603.69604.16404.1640
C31.99313.45223.45223.48411.10394.37964.16404.16401.10721.10723.69603.6960
C41.99313.45223.45224.37963.48411.10393.69603.69604.16404.16401.10721.1072
H52.62181.10393.48414.37964.54104.54101.78851.78853.52403.52405.03105.0310
H62.62184.37961.10393.48414.54104.54105.03095.03091.78851.78853.52403.5240
H72.62183.48414.37961.10394.54104.54103.52403.52405.03095.03091.78851.7885
H82.60171.10724.16403.69601.78855.03093.52401.77424.23634.59284.23634.5928
H92.60171.10724.16403.69601.78855.03093.52401.77424.59284.23634.59284.2363
H102.60173.69601.10724.16403.52401.78855.03094.23634.59281.77424.23634.5928
H112.60173.69601.10724.16403.52401.78855.03094.59284.23631.77424.59284.2363
H122.60174.16403.69601.10725.03103.52401.78854.23634.59284.23634.59281.7742
H132.60174.16403.69601.10725.03103.52401.78854.59284.23634.59284.23631.7742

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 112.479 Al1 C2 H8 110.844
Al1 C2 H9 110.844 Al1 C3 H6 112.479
Al1 C3 H10 110.844 Al1 C3 H11 110.844
Al1 C4 H7 112.479 Al1 C4 H12 110.844
Al1 C4 H13 110.844 C2 Al1 C3 120.000
C2 Al1 C4 120.000 C3 Al1 C4 120.000
H5 C2 H8 107.973 H5 C2 H9 107.973
H6 C3 H10 107.973 H6 C3 H11 107.973
H7 C4 H12 107.973 H7 C4 H13 107.973
H8 C2 H9 106.484 H10 C3 H11 106.484
H12 C4 H13 106.484
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/6-31G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 Al 0.899      
2 C -0.816      
3 C -0.816      
4 C -0.816      
5 H 0.172      
6 H 0.172      
7 H 0.172      
8 H 0.172      
9 H 0.172      
10 H 0.172      
11 H 0.172      
12 H 0.172      
13 H 0.172      


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 -36.067 0.000 0.000
y 0.000 -36.067 0.000
z 0.000 0.000 -31.368
Traceless
 xyz
x -2.349 0.000 0.000
y 0.000 -2.349 0.000
z 0.000 0.000 4.699
Polar
3z2-r29.397
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 9.011 0.000 0.000
y 0.000 9.011 0.000
z 0.000 0.000 6.754


<r2> (average value of r2) Å2
<r2> 154.289
(<r2>)1/2 12.421