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

using model chemistry: wB97X-D/6-311G**

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C3V 2A"
Energy calculated at wB97X-D/6-311G**
 hartrees
Energy at 0K-157.786622
Energy at 298.15K-157.795200
HF Energy-157.786622
Nuclear repulsion energy125.433371
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 wB97X-D/6-311G**
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 3063 2930 53.10      
2 A1 2967 2838 75.35      
3 A1 1497 1432 23.15      
4 A1 1430 1368 2.42      
5 A1 1101 1053 0.01      
6 A1 773 739 1.27      
7 A1 263 251 3.95      
8 A2 3107 2972 0.00      
9 A2 1476 1412 0.00      
10 A2 972 930 0.00      
11 A2 152 146 0.00      
12 E 3111 2976 48.91      
12 E 3111 2976 49.05      
13 E 3061 2928 19.81      
13 E 3061 2928 19.80      
14 E 2959 2830 36.94      
14 E 2959 2830 36.85      
15 E 1501 1436 3.49      
15 E 1501 1436 3.48      
16 E 1477 1413 3.91      
16 E 1477 1413 3.92      
17 E 1406 1345 8.19      
17 E 1406 1345 8.17      
18 E 1308 1251 5.43      
18 E 1308 1251 5.40      
19 E 1015 971 2.34      
19 E 1015 971 2.32      
20 E 943 902 0.37      
20 E 943 902 0.37      
21 E 386 369 0.11      
21 E 386 369 0.11      
22 E 157 150 0.01      
22 E 157 150 0.01      

Unscaled Zero Point Vibrational Energy (zpe) 25724.2 cm-1
Scaled (by 0.9565) Zero Point Vibrational Energy (zpe) 24605.2 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 wB97X-D/6-311G**
ABC
0.26755 0.26755 0.14523

See section I.F.4 to change rotational constant units
Geometric Data calculated at wB97X-D/6-311G**

Point Group is C3v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 0.152
C2 0.000 1.482 -0.015
C3 1.283 -0.741 -0.015
C4 -1.283 -0.741 -0.015
H5 0.000 1.772 -1.080
H6 1.535 -0.886 -1.080
H7 -1.535 -0.886 -1.080
H8 -0.887 1.939 0.434
H9 0.887 1.939 0.434
H10 2.123 -0.201 0.434
H11 1.236 -1.738 0.434
H12 -1.236 -1.738 0.434
H13 -2.123 -0.201 0.434

Atom - Atom Distances (Å)
  C1 C2 C3 C4 H5 H6 H7 H8 H9 H10 H11 H12 H13
C11.49121.49121.49122.15852.15852.15852.15092.15092.15092.15092.15092.1509
C21.49122.56652.56651.10353.01613.01611.09461.09462.74623.47773.47772.7462
C31.49122.56652.56653.01611.10353.01613.47772.74621.09461.09462.74623.4777
C41.49122.56652.56653.01613.01611.10352.74623.47773.47772.74621.09461.0946
H52.15851.10353.01613.01613.06993.06991.76281.76283.27034.01764.01763.2703
H62.15853.01611.10353.01613.06993.06994.01763.27031.76281.76283.27034.0176
H72.15853.01613.01611.10353.06993.06993.27034.01764.01763.27031.76281.7628
H82.15091.09463.47772.74621.76284.01763.27031.77393.69324.24553.69322.4716
H92.15091.09462.74623.47771.76283.27034.01761.77392.47163.69324.24553.6932
H102.15092.74621.09463.47773.27031.76284.01763.69322.47161.77393.69324.2455
H112.15093.47771.09462.74624.01761.76283.27034.24553.69321.77392.47163.6932
H122.15093.47772.74621.09464.01763.27031.76283.69324.24553.69322.47161.7739
H132.15092.74623.47771.09463.27034.01761.76282.47163.69324.24553.69321.7739

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 111.715 C1 C2 H8 111.654
C1 C2 H9 111.654 C1 C3 H6 111.715
C1 C3 H10 111.654 C1 C3 H11 111.654
C1 C4 H7 111.715 C1 C4 H12 111.654
C1 C4 H13 111.654 C2 C1 C3 118.757
C2 C1 C4 118.757 C3 C1 C4 118.757
H5 C2 H8 106.639 H5 C2 H9 106.639
H6 C3 H10 106.639 H6 C3 H11 106.639
H7 C4 H12 106.639 H7 C4 H13 106.639
H8 C2 H9 108.258 H10 C3 H11 108.258
H12 C4 H13 108.258
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at wB97X-D/6-311G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.175      
2 C -0.293      
3 C -0.293      
4 C -0.293      
5 H 0.115      
6 H 0.115      
7 H 0.115      
8 H 0.118      
9 H 0.118      
10 H 0.118      
11 H 0.118      
12 H 0.118      
13 H 0.118      


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 -0.240 0.240
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -27.330 0.000 0.000
y 0.000 -27.330 0.000
z 0.000 0.000 -28.222
Traceless
 xyz
x 0.446 0.000 0.000
y 0.000 0.446 0.000
z 0.000 0.000 -0.892
Polar
3z2-r2-1.784
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 7.533 0.000 0.000
y 0.000 7.533 0.001
z 0.000 0.001 6.017


<r2> (average value of r2) Å2
<r2> 98.286
(<r2>)1/2 9.914