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

using model chemistry: PBEPBE/Def2TZVPP

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C3V 2A"
Energy calculated at PBEPBE/Def2TZVPP
 hartrees
Energy at 0K-157.620970
Energy at 298.15K-157.629284
HF Energy-157.620970
Nuclear repulsion energy125.156741
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/Def2TZVPP
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 2974 2938 35.20      
2 A1 2868 2833 82.41      
3 A1 1432 1415 19.71      
4 A1 1367 1351 2.28      
5 A1 1055 1042 0.13      
6 A1 754 745 1.39      
7 A1 258 255 3.27      
8 A2 3021 2985 0.00      
9 A2 1411 1394 0.00      
10 A2 933 921 0.00      
11 A2 134 132 0.00      
12 E 3025 2988 41.10      
12 E 3025 2988 41.10      
13 E 2974 2938 20.79      
13 E 2974 2938 20.80      
14 E 2859 2824 42.67      
14 E 2859 2824 42.67      
15 E 1438 1421 2.54      
15 E 1438 1421 2.54      
16 E 1414 1397 3.77      
16 E 1414 1397 3.77      
17 E 1340 1324 5.49      
17 E 1340 1324 5.49      
18 E 1263 1248 5.56      
18 E 1263 1248 5.56      
19 E 979 968 2.17      
19 E 979 968 2.17      
20 E 899 888 0.84      
20 E 899 888 0.84      
21 E 370 365 0.10      
21 E 370 365 0.10      
22 E 126 125 0.01      
22 E 126 125 0.01      

Unscaled Zero Point Vibrational Energy (zpe) 24790.0 cm-1
Scaled (by 0.9879) Zero Point Vibrational Energy (zpe) 24490.0 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/Def2TZVPP
ABC
0.26669 0.26669 0.14470

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBE/Def2TZVPP

Point Group is C3v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 0.145
C2 0.000 1.483 -0.014
C3 1.285 -0.742 -0.014
C4 -1.285 -0.742 -0.014
H5 0.000 1.788 -1.083
H6 1.548 -0.894 -1.083
H7 -1.548 -0.894 -1.083
H8 -0.892 1.942 0.439
H9 0.892 1.942 0.439
H10 2.128 -0.198 0.439
H11 1.236 -1.744 0.439
H12 -1.236 -1.744 0.439
H13 -2.128 -0.198 0.439

Atom - Atom Distances (Å)
  C1 C2 C3 C4 H5 H6 H7 H8 H9 H10 H11 H12 H13
C11.49201.49201.49202.16852.16852.16852.15722.15722.15722.15722.15722.1572
C21.49202.56942.56941.11093.03153.03151.10061.10062.74973.48513.48512.7497
C31.49202.56942.56943.03151.11093.03153.48512.74971.10061.10062.74973.4851
C41.49202.56942.56943.03153.03151.11092.74973.48513.48512.74971.10061.1006
H52.16851.11093.03153.03153.09633.09631.77021.77023.28404.03874.03873.2840
H62.16853.03151.11093.03153.09633.09634.03873.28401.77021.77023.28404.0387
H72.16853.03153.03151.11093.09633.09633.28404.03874.03873.28401.77021.7702
H82.15721.10063.48512.74971.77024.03873.28401.78473.70164.25583.70162.4711
H92.15721.10062.74973.48511.77023.28404.03871.78472.47113.70164.25583.7016
H102.15722.74971.10063.48513.28401.77024.03873.70162.47111.78473.70164.2558
H112.15723.48511.10062.74974.03871.77023.28404.25583.70161.78472.47113.7016
H122.15723.48512.74971.10064.03873.28401.77023.70164.25583.70162.47111.7847
H132.15722.74973.48511.10063.28404.03871.77022.47113.70164.25583.70161.7847

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 112.011 C1 C2 H8 111.735
C1 C2 H9 111.735 C1 C3 H6 112.011
C1 C3 H10 111.735 C1 C3 H11 111.735
C1 C4 H7 112.011 C1 C4 H12 111.735
C1 C4 H13 111.735 C2 C1 C3 118.878
C2 C1 C4 118.878 C3 C1 C4 118.878
H5 C2 H8 106.350 H5 C2 H9 106.350
H6 C3 H10 106.350 H6 C3 H11 106.349
H7 C4 H12 106.349 H7 C4 H13 106.350
H8 C2 H9 108.345 H10 C3 H11 108.345
H12 C4 H13 108.345
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/Def2TZVPP Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.013      
2 C -0.214      
3 C -0.214      
4 C -0.214      
5 H 0.071      
6 H 0.071      
7 H 0.071      
8 H 0.073      
9 H 0.073      
10 H 0.073      
11 H 0.073      
12 H 0.073      
13 H 0.073      


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 -0.196 0.196
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -27.794 0.000 0.000
y 0.000 -27.794 0.000
z 0.000 0.000 -28.563
Traceless
 xyz
x 0.384 0.000 0.000
y 0.000 0.384 0.000
z 0.000 0.000 -0.769
Polar
3z2-r2-1.537
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 8.675 0.000 0.000
y 0.000 8.675 -0.000
z 0.000 -0.000 6.928


<r2> (average value of r2) Å2
<r2> 98.921
(<r2>)1/2 9.946