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

using model chemistry: mPW1PW91/3-21G*

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C3H 1A'
Energy calculated at mPW1PW91/3-21G*
 hartrees
Energy at 0K-360.232635
Energy at 298.15K-360.240347
HF Energy-360.232635
Nuclear repulsion energy150.186357
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 mPW1PW91/3-21G*
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' 3129 2971 0.00      
2 A' 3032 2879 0.00      
3 A' 1528 1451 0.00      
4 A' 1309 1243 0.00      
5 A' 630 598 0.00      
6 A' 527 501 0.00      
7 A" 3099 2943 37.22      
8 A" 1531 1454 9.06      
9 A" 788 748 156.76      
10 A" 188 179 5.28      
11 A" 59 56 0.09      
12 E' 3129 2971 22.90      
12 E' 3129 2971 22.90      
13 E' 3030 2878 6.33      
13 E' 3030 2878 6.33      
14 E' 1526 1449 1.90      
14 E' 1526 1449 1.90      
15 E' 1306 1240 68.30      
15 E' 1306 1240 68.32      
16 E' 813 772 187.64      
16 E' 813 772 187.63      
17 E' 666 632 9.49      
17 E' 666 632 9.49      
18 E' 172 163 2.40      
18 E' 172 163 2.40      
19 E" 3099 2943 0.00      
19 E" 3099 2943 0.00      
20 E" 1529 1452 0.00      
20 E" 1529 1452 0.00      
21 E" 618 586 0.00      
21 E" 618 586 0.00      
22 E" 41 39 0.00      
22 E" 41 39 0.00      

Unscaled Zero Point Vibrational Energy (zpe) 23837.7 cm-1
Scaled (by 0.9496) Zero Point Vibrational Energy (zpe) 22636.2 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 mPW1PW91/3-21G*
ABC
0.16391 0.16391 0.08587

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/3-21G*

Point Group is C3h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
Al1 0.000 0.000 0.000
C2 0.000 1.974 0.000
C3 -1.710 -0.987 0.000
C4 1.710 -0.987 0.000
H5 -1.012 2.397 0.000
H6 -1.570 -2.075 0.000
H7 2.582 -0.323 0.000
H8 0.530 2.365 0.881
H9 0.530 2.365 -0.881
H10 -2.313 -0.723 0.881
H11 -2.313 -0.723 -0.881
H12 1.783 -1.642 0.881
H13 1.783 -1.642 -0.881

Atom - Atom Distances (Å)
  Al1 C2 C3 C4 H5 H6 H7 H8 H9 H10 H11 H12 H13
Al11.97431.97431.97432.60212.60212.60212.57862.57862.57862.57862.57862.5786
C21.97433.41963.41961.09664.34303.45581.09991.09993.66083.66084.12674.1267
C31.97433.41963.41963.45581.09664.34304.12674.12671.09991.09993.66083.6608
C41.97433.41963.41964.34303.45581.09663.66083.66084.12674.12671.09991.0999
H52.60211.09663.45584.34304.50704.50701.77631.77633.49383.49384.98994.9899
H62.60214.34301.09663.45584.50704.50704.98994.98991.77631.77633.49383.4938
H72.60213.45584.34301.09664.50704.50703.49383.49384.98994.98991.77631.7763
H82.57861.09994.12673.66081.77634.98993.49381.76194.19754.55234.19754.5523
H92.57861.09994.12673.66081.77634.98993.49381.76194.55234.19754.55234.1975
H102.57863.66081.09994.12673.49381.77634.98994.19754.55231.76194.19754.5523
H112.57863.66081.09994.12673.49381.77634.98994.55234.19751.76194.55234.1975
H122.57864.12673.66081.09994.98993.49381.77634.19754.55234.19754.55231.7619
H132.57864.12673.66081.09994.98993.49381.77634.55234.19754.55234.19751.7619

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 112.694 Al1 C2 H8 110.788
Al1 C2 H9 110.788 Al1 C3 H6 112.694
Al1 C3 H10 110.788 Al1 C3 H11 110.788
Al1 C4 H7 112.694 Al1 C4 H12 110.788
Al1 C4 H13 110.788 C2 Al1 C3 120.000
C2 Al1 C4 120.000 C3 Al1 C4 120.000
H5 C2 H8 107.937 H5 C2 H9 107.937
H6 C3 H10 107.937 H6 C3 H11 107.937
H7 C4 H12 107.937 H7 C4 H13 107.937
H8 C2 H9 106.437 H10 C3 H11 106.437
H12 C4 H13 106.437
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/3-21G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 Al 0.981      
2 C -0.970      
3 C -0.970      
4 C -0.970      
5 H 0.216      
6 H 0.216      
7 H 0.216      
8 H 0.214      
9 H 0.214      
10 H 0.214      
11 H 0.214      
12 H 0.214      
13 H 0.214      


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 -35.690 0.000 0.000
y 0.000 -35.690 0.000
z 0.000 0.000 -30.790
Traceless
 xyz
x -2.450 0.000 0.000
y 0.000 -2.450 0.000
z 0.000 0.000 4.899
Polar
3z2-r29.799
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 8.060 0.000 0.000
y 0.000 8.059 0.000
z 0.000 0.000 6.350


<r2> (average value of r2) Å2
<r2> 151.640
(<r2>)1/2 12.314