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 C(CH3)3 (Tert-butyl radical)

using model chemistry: B3LYP/CEP-121G

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C3V 2A"
Energy calculated at B3LYP/CEP-121G
 hartrees
Energy at 0K-27.941839
Energy at 298.15K-27.950244
Nuclear repulsion energy71.497060
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 B3LYP/CEP-121G
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
(Å4/u)
Dep P Dep U
1 A1 3007 2930 90.33      
2 A1 2904 2830 110.10      
3 A1 1512 1473 24.41      
4 A1 1443 1407 0.79      
5 A1 1097 1069 0.00      
6 A1 739 720 1.09      
7 A1 255 249 4.78      
8 A2 3053 2975 0.00      
9 A2 1496 1458 0.00      
10 A2 973 949 0.00      
11 A2 128 125 0.00      
12 E 3060 2982 77.97      
12 E 3060 2982 77.93      
13 E 3003 2926 24.40      
13 E 3003 2926 24.41      
14 E 2893 2819 55.76      
14 E 2893 2819 55.76      
15 E 1517 1478 4.24      
15 E 1517 1478 4.24      
16 E 1494 1456 3.67      
16 E 1494 1456 3.67      
17 E 1420 1384 7.93      
17 E 1420 1384 7.93      
18 E 1298 1265 9.00      
18 E 1298 1265 9.00      
19 E 1007 981 2.52      
19 E 1007 981 2.52      
20 E 948 924 0.20      
20 E 948 924 0.20      
21 E 372 362 0.07      
21 E 372 362 0.07      
22 E 126 123 0.00      
22 E 126 123 0.00      

Unscaled Zero Point Vibrational Energy (zpe) 25439.9 cm-1
Scaled (by 0.9745) Zero Point Vibrational Energy (zpe) 24791.2 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 B3LYP/CEP-121G
ABC
0.25902 0.25902 0.14030

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/CEP-121G

Point Group is C3v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 0.161
C2 0.000 1.510 -0.008
C3 1.308 -0.755 -0.008
C4 -1.308 -0.755 -0.008
H5 0.000 1.807 -1.077
H6 1.565 -0.904 -1.077
H7 -1.565 -0.904 -1.077
H8 -0.891 1.967 0.447
H9 0.891 1.967 0.447
H10 2.149 -0.212 0.447
H11 1.258 -1.755 0.447
H12 -1.258 -1.755 0.447
H13 -2.149 -0.212 0.447

Atom - Atom Distances (Å)
  C1 C2 C3 C4 H5 H6 H7 H8 H9 H10 H11 H12 H13
C11.51951.51951.51952.19042.19042.19042.17802.17802.17802.17802.17802.1780
C21.51952.61552.61551.10953.06883.06881.09951.09952.79093.52833.52832.7909
C31.51952.61552.61553.06881.10953.06883.52832.79091.09951.09952.79093.5283
C41.51952.61552.61553.06883.06881.10952.79093.52833.52832.79091.09951.0995
H52.19041.10953.06883.06883.12993.12991.77221.77223.31904.07324.07323.3190
H62.19043.06881.10953.06883.12993.12994.07323.31901.77221.77223.31904.0732
H72.19043.06883.06881.10953.12993.12993.31904.07324.07323.31901.77221.7722
H82.17801.09953.52832.79091.77224.07323.31901.78153.73974.29743.73972.5159
H92.17801.09952.79093.52831.77223.31904.07321.78152.51593.73974.29743.7397
H102.17802.79091.09953.52833.31901.77224.07323.73972.51591.78153.73974.2974
H112.17803.52831.09952.79094.07321.77223.31904.29743.73971.78152.51593.7397
H122.17803.52832.79091.09954.07323.31901.77223.73974.29743.73972.51591.7815
H132.17802.79093.52831.09953.31904.07321.77222.51593.73974.29743.73971.7815

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 111.904 C1 C2 H8 111.527
C1 C2 H9 111.527 C1 C3 H6 111.904
C1 C3 H10 111.527 C1 C3 H11 111.527
C1 C4 H7 111.904 C1 C4 H12 111.527
C1 C4 H13 111.527 C2 C1 C3 118.783
C2 C1 C4 118.783 C3 C1 C4 118.783
H5 C2 H8 106.695 H5 C2 H9 106.695
H6 C3 H10 106.695 H6 C3 H11 106.695
H7 C4 H12 106.695 H7 C4 H13 106.695
H8 C2 H9 108.223 H10 C3 H11 108.223
H12 C4 H13 108.223
Electronic energy levels

Electronic state

Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/CEP-121G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.308      
2 C -0.540      
3 C -0.540      
4 C -0.540      
5 H 0.140      
6 H 0.140      
7 H 0.140      
8 H 0.149      
9 H 0.149      
10 H 0.149      
11 H 0.149      
12 H 0.149      
13 H 0.149      


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 -0.257 0.257
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -27.632 0.000 0.000
y 0.000 -27.632 0.000
z 0.000 0.000 -28.608
Traceless
 xyz
x 0.488 0.000 0.000
y 0.000 0.488 0.000
z 0.000 0.000 -0.976
Polar
3z2-r2-1.951
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 7.717 0.000 0.000
y 0.000 7.718 0.000
z 0.000 0.000 6.262


<r2> (average value of r2) Å2
<r2> 87.375
(<r2>)1/2 9.347