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

using model chemistry: HF/CEP-31G

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C3V 2A"
Energy calculated at HF/CEP-31G
 hartrees
Energy at 0K-27.085639
Energy at 298.15K-27.094350
Nuclear repulsion energy71.760043
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 HF/CEP-31G
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 3243 2923 162.60      
2 A1 3157 2846 105.83      
3 A1 1631 1470 24.91      
4 A1 1569 1414 2.09      
5 A1 1212 1092 0.15      
6 A1 795 717 0.79      
7 A1 294 265 5.68      
8 A2 3271 2949 0.00      
9 A2 1611 1452 0.00      
10 A2 1055 951 0.00      
11 A2 142 128 0.00      
12 E 3281 2957 117.68      
12 E 3281 2957 117.68      
13 E 3234 2915 28.39      
13 E 3234 2915 28.39      
14 E 3148 2837 55.82      
14 E 3148 2837 55.82      
15 E 1629 1469 4.34      
15 E 1629 1469 4.34      
16 E 1614 1455 3.49      
16 E 1614 1455 3.49      
17 E 1550 1397 10.63      
17 E 1550 1397 10.63      
18 E 1399 1261 10.43      
18 E 1399 1261 10.43      
19 E 1092 984 1.82      
19 E 1092 984 1.82      
20 E 1030 928 0.23      
20 E 1030 928 0.23      
21 E 388 350 0.06      
21 E 388 350 0.06      
22 E 156 141 0.00      
22 E 156 141 0.00      

Unscaled Zero Point Vibrational Energy (zpe) 27510.8 cm-1
Scaled (by 0.9014) Zero Point Vibrational Energy (zpe) 24798.3 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 HF/CEP-31G
ABC
0.26009 0.26009 0.14142

See section I.F.4 to change rotational constant units
Geometric Data calculated at HF/CEP-31G

Point Group is C3v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 0.223
C2 0.000 1.506 -0.014
C3 1.305 -0.753 -0.014
C4 -1.305 -0.753 -0.014
H5 0.000 1.743 -1.086
H6 1.509 -0.871 -1.086
H7 -1.509 -0.871 -1.086
H8 -0.883 1.976 0.422
H9 0.883 1.976 0.422
H10 2.152 -0.223 0.422
H11 1.269 -1.753 0.422
H12 -1.269 -1.753 0.422
H13 -2.152 -0.223 0.422

Atom - Atom Distances (Å)
  C1 C2 C3 C4 H5 H6 H7 H8 H9 H10 H11 H12 H13
C11.52511.52511.52512.18002.18002.18002.17312.17312.17312.17312.17312.1731
C21.52512.60932.60931.09783.01363.01361.09091.09092.79543.52463.52462.7954
C31.52512.60932.60933.01361.09783.01363.52462.79541.09091.09092.79543.5246
C41.52512.60932.60933.01363.01361.09782.79543.52463.52462.79541.09091.0909
H52.18001.09783.01363.01363.01873.01871.76301.76303.28214.01294.01293.2821
H62.18003.01361.09783.01363.01873.01874.01293.28211.76301.76303.28214.0129
H72.18003.01363.01361.09783.01873.01873.28214.01294.01293.28211.76301.7630
H82.17311.09093.52462.79541.76304.01293.28211.76623.74824.30503.74822.5388
H92.17311.09092.79543.52461.76303.28214.01291.76622.53883.74824.30503.7482
H102.17312.79541.09093.52463.28211.76304.01293.74822.53881.76623.74824.3050
H112.17313.52461.09092.79544.01291.76303.28214.30503.74821.76622.53883.7482
H122.17313.52462.79541.09094.01293.28211.76303.74824.30503.74822.53881.7662
H132.17312.79543.52461.09093.28214.01291.76302.53883.74824.30503.74821.7662

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 111.393 C1 C2 H8 111.260
C1 C2 H9 111.260 C1 C3 H6 111.393
C1 C3 H10 111.260 C1 C3 H11 111.260
C1 C4 H7 111.393 C1 C4 H12 111.260
C1 C4 H13 111.260 C2 C1 C3 117.622
C2 C1 C4 117.622 C3 C1 C4 117.622
H5 C2 H8 107.317 H5 C2 H9 107.317
H6 C3 H10 107.316 H6 C3 H11 107.317
H7 C4 H12 107.317 H7 C4 H13 107.316
H8 C2 H9 108.099 H10 C3 H11 108.099
H12 C4 H13 108.099
Electronic energy levels

Electronic state

Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HF/CEP-31G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.049      
2 C -0.337      
3 C -0.337      
4 C -0.337      
5 H 0.090      
6 H 0.090      
7 H 0.090      
8 H 0.115      
9 H 0.115      
10 H 0.115      
11 H 0.115      
12 H 0.115      
13 H 0.115      


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 -0.418 0.418
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -27.635 0.000 0.000
y 0.000 -27.635 0.000
z 0.000 0.000 -28.144
Traceless
 xyz
x 0.254 0.000 0.000
y 0.000 0.254 0.000
z 0.000 0.000 -0.509
Polar
3z2-r2-1.018
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 6.193 0.000 0.000
y 0.000 6.193 0.000
z 0.000 0.000 4.914


<r2> (average value of r2) Å2
<r2> 86.619
(<r2>)1/2 9.307