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

using model chemistry: BLYP/6-31+G**

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C3V 2A"
Energy calculated at BLYP/6-31+G**
 hartrees
Energy at 0K-157.703822
Energy at 298.15K-157.712181
Nuclear repulsion energy124.198786
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 BLYP/6-31+G**
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 2963 2947 39.04      
2 A1 2843 2828 118.16      
3 A1 1455 1447 20.88      
4 A1 1391 1383 1.90      
5 A1 1067 1062 0.12      
6 A1 735 731 1.76      
7 A1 262 261 3.18      
8 A2 3005 2989 0.00      
9 A2 1432 1425 0.00      
10 A2 945 940 0.00      
11 A2 137 136 0.00      
12 E 3009 2993 54.96      
12 E 3009 2993 54.96      
13 E 2960 2944 30.62      
13 E 2960 2944 30.60      
14 E 2832 2817 49.58      
14 E 2832 2817 49.58      
15 E 1456 1448 3.76      
15 E 1456 1448 3.76      
16 E 1436 1428 2.96      
16 E 1436 1428 2.96      
17 E 1362 1355 1.76      
17 E 1362 1355 1.76      
18 E 1252 1246 7.55      
18 E 1252 1246 7.55      
19 E 979 973 1.69      
19 E 979 973 1.69      
20 E 910 905 0.74      
20 E 910 905 0.74      
21 E 374 372 0.19      
21 E 374 372 0.19      
22 E 134 134 0.01      
22 E 134 134 0.01      

Unscaled Zero Point Vibrational Energy (zpe) 24821.4 cm-1
Scaled (by 0.9947) Zero Point Vibrational Energy (zpe) 24689.8 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 BLYP/6-31+G**
ABC
0.26219 0.26219 0.14218

See section I.F.4 to change rotational constant units
Geometric Data calculated at BLYP/6-31+G**

Point Group is C3v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 0.151
C2 0.000 1.497 -0.015
C3 1.297 -0.749 -0.015
C4 -1.297 -0.749 -0.015
H5 0.000 1.799 -1.089
H6 1.558 -0.900 -1.089
H7 -1.558 -0.900 -1.089
H8 -0.894 1.961 0.437
H9 0.894 1.961 0.437
H10 2.145 -0.206 0.437
H11 1.251 -1.755 0.437
H12 -1.251 -1.755 0.437
H13 -2.145 -0.206 0.437

Atom - Atom Distances (Å)
  C1 C2 C3 C4 H5 H6 H7 H8 H9 H10 H11 H12 H13
C11.50631.50631.50632.18522.18522.18522.17412.17412.17412.17412.17412.1741
C21.50632.59302.59301.11573.05383.05381.10411.10412.77623.51363.51362.7762
C31.50632.59302.59303.05381.11573.05383.51362.77621.10411.10412.77623.5136
C41.50632.59302.59303.05383.05381.11572.77623.51363.51362.77621.10411.1041
H52.18521.11573.05383.05383.11633.11631.77581.77583.30924.06514.06513.3092
H62.18523.05381.11573.05383.11633.11634.06513.30921.77581.77583.30924.0651
H72.18523.05383.05381.11573.11633.11633.30924.06514.06513.30921.77581.7758
H82.17411.10413.51362.77621.77584.06513.30921.78873.73314.29093.73312.5022
H92.17411.10412.77623.51361.77583.30924.06511.78872.50223.73314.29093.7331
H102.17412.77621.10413.51363.30921.77584.06513.73312.50221.78873.73314.2909
H112.17413.51361.10412.77624.06511.77583.30924.29093.73311.78872.50223.7331
H122.17413.51362.77621.10414.06513.30921.77583.73314.29093.73312.50221.7887
H132.17412.77623.51361.10413.30924.06511.77582.50223.73314.29093.73311.7887

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 112.041 C1 C2 H8 111.871
C1 C2 H9 111.871 C1 C3 H6 112.041
C1 C3 H10 111.871 C1 C3 H11 111.871
C1 C4 H7 112.041 C1 C4 H12 111.871
C1 C4 H13 111.871 C2 C1 C3 118.800
C2 C1 C4 118.800 C3 C1 C4 118.800
H5 C2 H8 106.256 H5 C2 H9 106.256
H6 C3 H10 106.256 H6 C3 H11 106.256
H7 C4 H12 106.256 H7 C4 H13 106.256
H8 C2 H9 108.201 H10 C3 H11 108.201
H12 C4 H13 108.201
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at BLYP/6-31+G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.436      
2 C -0.583      
3 C -0.583      
4 C -0.583      
5 H 0.148      
6 H 0.148      
7 H 0.148      
8 H 0.145      
9 H 0.145      
10 H 0.145      
11 H 0.145      
12 H 0.145      
13 H 0.145      


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 -0.249 0.249
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -28.255 0.000 0.000
y 0.000 -28.255 0.000
z 0.000 0.000 -29.191
Traceless
 xyz
x 0.468 0.000 0.000
y 0.000 0.468 0.000
z 0.000 0.000 -0.936
Polar
3z2-r2-1.871
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 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> 100.610
(<r2>)1/2 10.030