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All results from a given calculation for C(CH3)3 (Tert-butyl radical)

using model chemistry: B3LYPultrafine/aug-cc-pVTZ

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C3V 2A"
Energy calculated at B3LYPultrafine/aug-cc-pVTZ
 hartrees
Energy at 0K-157.861158
Energy at 298.15K-157.869613
HF Energy-157.861158
Nuclear repulsion energy125.518991
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 B3LYPultrafine/aug-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 A1 3031 2933 33.77      
2 A1 2920 2825 103.65      
3 A1 1489 1440 18.40      
4 A1 1424 1377 2.46      
5 A1 1097 1062 0.78      
6 A1 758 733 1.87      
7 A1 265 256 3.02      
8 A2 3070 2970 0.00      
9 A2 1466 1419 0.00      
10 A2 973 941 0.00      
11 A2 134 130 0.00      
12 E 3075 2975 46.29      
12 E 3075 2975 46.30      
13 E 3028 2930 23.46      
13 E 3028 2930 23.46      
14 E 2911 2817 38.19      
14 E 2911 2817 38.19      
15 E 1490 1442 3.00      
15 E 1490 1442 3.00      
16 E 1470 1422 2.91      
16 E 1470 1422 2.91      
17 E 1396 1351 3.48      
17 E 1396 1351 3.48      
18 E 1293 1251 5.81      
18 E 1293 1251 5.81      
19 E 1008 975 1.78      
19 E 1008 975 1.78      
20 E 937 907 0.51      
20 E 937 907 0.51      
21 E 379 367 0.14      
21 E 379 367 0.14      
22 E 134 130 0.02      
22 E 134 130 0.02      

Unscaled Zero Point Vibrational Energy (zpe) 25434.5 cm-1
Scaled (by 0.9675) Zero Point Vibrational Energy (zpe) 24607.8 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 B3LYPultrafine/aug-cc-pVTZ
ABC
0.26774 0.26774 0.14521

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYPultrafine/aug-cc-pVTZ

Point Group is C3v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 0.171
C2 0.000 1.483 -0.018
C3 1.284 -0.741 -0.018
C4 -1.284 -0.741 -0.018
H5 0.000 1.750 -1.085
H6 1.516 -0.875 -1.085
H7 -1.516 -0.875 -1.085
H8 -0.885 1.945 0.424
H9 0.885 1.945 0.424
H10 2.127 -0.206 0.424
H11 1.242 -1.739 0.424
H12 -1.242 -1.739 0.424
H13 -2.127 -0.206 0.424

Atom - Atom Distances (Å)
  C1 C2 C3 C4 H5 H6 H7 H8 H9 H10 H11 H12 H13
C11.49491.49491.49492.15472.15472.15472.15162.15162.15162.15162.15162.1516
C21.49492.56862.56861.10082.99992.99991.09161.09162.75163.48093.48092.7516
C31.49492.56862.56862.99991.10082.99993.48092.75161.09161.09162.75163.4809
C41.49492.56862.56862.99992.99991.10082.75163.48093.48092.75161.09161.0916
H52.15471.10082.99992.99993.03193.03191.76071.76073.26053.99953.99953.2605
H62.15472.99991.10082.99993.03193.03193.99953.26051.76071.76073.26053.9995
H72.15472.99992.99991.10083.03193.03193.26053.99953.99953.26051.76071.7607
H82.15161.09163.48092.75161.76073.99953.26051.76963.70084.25343.70082.4838
H92.15161.09162.75163.48091.76073.26053.99951.76962.48383.70084.25343.7008
H102.15162.75161.09163.48093.26051.76073.99953.70082.48381.76963.70084.2534
H112.15163.48091.09162.75163.99951.76073.26054.25343.70081.76962.48383.7008
H122.15163.48092.75161.09163.99953.26051.76073.70084.25343.70082.48381.7696
H132.15162.75163.48091.09163.26053.99951.76072.48383.70084.25343.70081.7696

picture of Tert-butyl radical state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 H5 111.315 C1 C2 H8 111.631
C1 C2 H9 111.631 C1 C3 H6 111.315
C1 C3 H10 111.631 C1 C3 H11 111.631
C1 C4 H7 111.315 C1 C4 H12 111.631
C1 C4 H13 111.631 C2 C1 C3 118.431
C2 C1 C4 118.431 C3 C1 C4 118.431
H5 C2 H8 106.857 H5 C2 H9 106.857
H6 C3 H10 106.857 H6 C3 H11 106.857
H7 C4 H12 106.857 H7 C4 H13 106.857
H8 C2 H9 108.300 H10 C3 H11 108.300
H12 C4 H13 108.300
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYPultrafine/aug-cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.642      
2 C -0.795      
3 C -0.795      
4 C -0.795      
5 H 0.171      
6 H 0.171      
7 H 0.171      
8 H 0.205      
9 H 0.205      
10 H 0.205      
11 H 0.205      
12 H 0.205      
13 H 0.205      


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 -0.187 0.187
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -27.924 0.000 0.000
y 0.000 -27.924 0.000
z 0.000 0.000 -28.634
Traceless
 xyz
x 0.355 0.000 0.000
y 0.000 0.355 0.000
z 0.000 0.000 -0.711
Polar
3z2-r2-1.421
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 8.657 0.000 0.000
y 0.000 8.657 0.000
z 0.000 0.000 7.191


<r2> (average value of r2) Å2
<r2> 98.606
(<r2>)1/2 9.930