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

using model chemistry: PBEPBE/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 PBEPBE/cc-pVTZ
 hartrees
Energy at 0K-361.914668
Energy at 298.15K-361.921952
HF Energy-361.914668
Nuclear repulsion energy149.930462
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/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' 3041 3020 0.00      
2 A' 2952 2931 0.00      
3 A' 1401 1391 0.00      
4 A' 1181 1173 0.00      
5 A' 574 570 0.00      
6 A' 504 500 0.00      
7 A" 3013 2993 34.80      
8 A" 1404 1395 3.00      
9 A" 697 692 83.95      
10 A" 176 175 5.30      
11 A" 49 49 0.00      
12 E' 3041 3020 24.16      
12 E' 3041 3020 24.16      
13 E' 2950 2930 10.37      
13 E' 2950 2930 10.37      
14 E' 1399 1389 0.51      
14 E' 1399 1389 0.51      
15 E' 1178 1170 29.62      
15 E' 1178 1170 29.62      
16 E' 736 731 154.06      
16 E' 736 731 154.04      
17 E' 627 622 11.84      
17 E' 627 622 11.84      
18 E' 163 162 3.77      
18 E' 163 162 3.77      
19 E" 3014 2993 0.00      
19 E" 3014 2993 0.00      
20 E" 1402 1392 0.00      
20 E" 1402 1392 0.00      
21 E" 540 536 0.00      
21 E" 540 536 0.00      
22 E" 25 25 0.00      
22 E" 25 25 0.00      

Unscaled Zero Point Vibrational Energy (zpe) 22568.6 cm-1
Scaled (by 0.9931) Zero Point Vibrational Energy (zpe) 22412.8 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/cc-pVTZ
ABC
0.16341 0.16341 0.08558

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

Point Group is C3h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
Al1 0.000 0.000 0.000
C2 0.000 1.976 0.000
C3 -1.711 -0.988 0.000
C4 1.711 -0.988 0.000
H5 -1.008 2.415 0.000
H6 -1.588 -2.080 0.000
H7 2.596 -0.335 0.000
H8 0.535 2.371 0.879
H9 0.535 2.371 -0.879
H10 -2.321 -0.722 0.879
H11 -2.321 -0.722 -0.879
H12 1.785 -1.649 0.879
H13 1.785 -1.649 -0.879

Atom - Atom Distances (Å)
  Al1 C2 C3 C4 H5 H6 H7 H8 H9 H10 H11 H12 H13
Al11.97591.97591.97592.61712.61712.61712.58442.58442.58442.58442.58442.5844
C21.97593.42243.42241.09934.35603.47531.10241.10243.66543.66544.13524.1352
C31.97593.42243.42243.47531.09934.35604.13524.13521.10241.10243.66543.6654
C41.97593.42243.42244.35603.47531.09933.66543.66544.13524.13521.10241.1024
H52.61711.09933.47534.35604.53304.53291.77651.77653.51253.51255.00925.0092
H62.61714.35601.09933.47534.53304.53295.00925.00921.77651.77653.51253.5125
H72.61713.47534.35601.09934.53294.53293.51253.51255.00925.00921.77651.7765
H82.58441.10244.13523.66541.77655.00923.51251.75834.20944.56184.20944.5618
H92.58441.10244.13523.66541.77655.00923.51251.75834.56184.20944.56184.2094
H102.58443.66541.10244.13523.51251.77655.00924.20944.56181.75834.20944.5618
H112.58443.66541.10244.13523.51251.77655.00924.56184.20941.75834.56184.2094
H122.58444.13523.66541.10245.00923.51251.77654.20944.56184.20944.56181.7583
H132.58444.13523.66541.10245.00923.51251.77654.56184.20944.56184.20941.7583

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 113.563 Al1 C2 H8 110.977
Al1 C2 H9 110.977 Al1 C3 H6 113.563
Al1 C3 H10 110.977 Al1 C3 H11 110.977
Al1 C4 H7 113.563 Al1 C4 H12 110.977
Al1 C4 H13 110.977 C2 Al1 C3 120.000
C2 Al1 C4 120.000 C3 Al1 C4 120.000
H5 C2 H8 107.580 H5 C2 H9 107.580
H6 C3 H10 107.580 H6 C3 H11 107.580
H7 C4 H12 107.580 H7 C4 H13 107.580
H8 C2 H9 105.782 H10 C3 H11 105.782
H12 C4 H13 105.782
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 Al 0.414      
2 C -0.419      
3 C -0.419      
4 C -0.419      
5 H 0.098      
6 H 0.098      
7 H 0.098      
8 H 0.091      
9 H 0.091      
10 H 0.091      
11 H 0.091      
12 H 0.091      
13 H 0.091      


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 -37.075 0.000 0.000
y 0.000 -37.075 0.000
z 0.000 0.000 -31.784
Traceless
 xyz
x -2.646 0.000 0.000
y 0.000 -2.646 0.000
z 0.000 0.000 5.291
Polar
3z2-r210.582
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 10.655 0.000 0.000
y 0.000 10.654 0.000
z 0.000 0.000 8.117


<r2> (average value of r2) Å2
<r2> 152.954
(<r2>)1/2 12.367