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: G4

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C3V 2A"
Energy calculated at G4
 hartrees
Energy at 0K-157.645656
Energy at 298.15K-157.638223
HF Energy-157.812299
Nuclear repulsion energy125.079396
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/6-31G(2df,p)
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' 3087 2979 46.31      
2 A' 3040 2933 40.75      
3 A' 3037 2930 19.31      
4 A' 2942 2839 70.39      
5 A' 2932 2830 33.88      
6 A' 1494 1442 1.89      
7 A' 1486 1434 12.80      
8 A' 1469 1417 2.15      
9 A' 1427 1377 1.06      
10 A' 1397 1348 1.30      
11 A' 1295 1250 7.17      
12 A' 1092 1054 0.02      
13 A' 1009 974 1.93      
14 A' 939 906 0.78      
15 A' 757 731 0.57      
16 A' 376 363 0.10      
17 A' 256 247 2.70      
18 A' 121 117 0.00      
19 A" 3087 2979 46.69      
20 A" 3082 2974 0.05      
21 A" 3036 2930 18.89      
22 A" 2932 2829 33.76      
23 A" 1494 1442 1.88      
24 A" 1470 1418 0.14      
25 A" 1469 1418 1.99      
26 A" 1397 1348 1.29      
27 A" 1296 1251 7.19      
28 A" 1009 974 1.91      
29 A" 970 936 0.00      
30 A" 939 906 0.79      
31 A" 377 364 0.10      
32 A" 130 126 0.00      
33 A" 124 120 0.00      

Unscaled Zero Point Vibrational Energy (zpe) 25482.4 cm-1
Scaled (by 0.965) Zero Point Vibrational Energy (zpe) 24590.5 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/6-31G(2df,p)
ABC
0.26579 0.26577 0.14397

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/6-31G(2df,p)

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.135 0.000
C2 1.488 -0.013 0.000
C3 -0.744 -0.013 1.288
C4 -0.744 -0.013 -1.288
H5 1.803 -1.073 0.000
H6 -0.902 -1.073 1.561
H7 -0.902 -1.073 -1.561
H8 1.942 0.442 -0.888
H9 1.942 0.442 0.888
H10 -0.202 0.441 2.126
H11 -1.740 0.442 1.238
H12 -1.740 0.442 -1.238
H13 -0.202 0.441 -2.126

Atom - Atom Distances (Å)
  C1 C2 C3 C4 H5 H6 H7 H8 H9 H10 H11 H12 H13
C11.49531.49521.49522.17022.17052.17052.15732.15732.15712.15712.15712.1571
C21.49532.57702.57701.10583.04523.04521.09621.09622.75313.48663.48662.7531
C31.49522.57702.57693.04441.10583.04433.48682.75351.09621.09632.75353.4868
C41.49522.57702.57693.04443.04431.10582.75353.48683.48682.75351.09631.0962
H52.17021.10583.04443.04443.12313.12311.76161.76163.29074.04694.04693.2907
H62.17053.04521.10583.04433.12313.12194.04763.29221.76161.76153.29124.0467
H72.17053.04523.04431.10583.12313.12193.29224.04764.04673.29121.76151.7616
H82.15731.09623.48682.75351.76164.04763.29221.77583.69834.25133.69822.4754
H92.15731.09622.75353.48681.76163.29224.04761.77582.47543.69824.25133.6983
H102.15712.75311.09623.48683.29071.76164.04673.69832.47541.77593.69864.2516
H112.15713.48661.09632.75354.04691.76153.29124.25133.69821.77592.47583.6986
H122.15713.48662.75351.09634.04693.29121.76153.69824.25133.69862.47581.7759
H132.15712.75313.48681.09623.29074.04671.76162.47543.69834.25163.69861.7759

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 111.592 C1 C2 H8 111.653
C1 C2 H9 111.653 C1 C3 H6 111.592
C1 C3 H10 111.653 C1 C3 H11 111.653
C1 C4 H7 111.592 C1 C4 H12 111.653
C1 C4 H13 111.653 C2 C1 C3 118.534
C2 C1 C4 118.534 C3 C1 C4 118.534
H5 C2 H8 106.726 H5 C2 H9 106.726
H6 C3 H10 106.726 H6 C3 H11 106.726
H7 C4 H12 106.726 H7 C4 H13 106.726
H8 C2 H9 108.219 H10 C3 H11 108.219
H12 C4 H13 108.219
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/6-31G(2df,p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.256      
2 C -0.430      
3 C -0.430      
4 C -0.430      
5 H 0.115      
6 H 0.115      
7 H 0.115      
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 -0.169 0.000 0.169
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 0.000 0.000 0.000
y 0.000 0.000 0.000
z 0.000 0.000 0.000


<r2> (average value of r2) Å2
<r2> 98.743
(<r2>)1/2 9.937