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

using model chemistry: B3LYP/3-21G

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C3V 2A"
Energy calculated at B3LYP/3-21G
 hartrees
Energy at 0K-156.941938
Energy at 298.15K-156.950418
Nuclear repulsion energy124.704522
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/3-21G
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 3055 2948 36.19      
2 A1 2958 2855 63.03      
3 A1 1557 1502 21.82      
4 A1 1476 1425 1.16      
5 A1 1136 1096 2.03      
6 A1 738 712 0.67      
7 A1 244 236 5.47      
8 A2 3092 2983 0.00      
9 A2 1538 1484 0.00      
10 A2 1012 976 0.00      
11 A2 148 143 0.00      
12 E 3098 2989 41.56      
12 E 3098 2989 41.56      
13 E 3052 2945 17.80      
13 E 3052 2945 17.81      
14 E 2950 2846 23.35      
14 E 2950 2846 23.34      
15 E 1561 1506 4.36      
15 E 1561 1506 4.36      
16 E 1537 1483 2.66      
16 E 1537 1483 2.66      
17 E 1449 1398 5.92      
17 E 1449 1398 5.93      
18 E 1297 1252 12.64      
18 E 1297 1252 12.63      
19 E 1020 984 2.34      
19 E 1020 984 2.34      
20 E 972 938 0.01      
20 E 972 938 0.01      
21 E 380 367 0.01      
21 E 380 367 0.01      
22 E 136 131 0.00      
22 E 136 131 0.00      

Unscaled Zero Point Vibrational Energy (zpe) 25927.8 cm-1
Scaled (by 0.9649) Zero Point Vibrational Energy (zpe) 25017.7 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/3-21G
ABC
0.26406 0.26406 0.14339

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/3-21G

Point Group is C3v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 0.168
C2 0.000 1.494 -0.018
C3 1.294 -0.747 -0.018
C4 -1.294 -0.747 -0.018
H5 0.000 1.768 -1.090
H6 1.531 -0.884 -1.090
H7 -1.531 -0.884 -1.090
H8 -0.890 1.951 0.431
H9 0.890 1.951 0.431
H10 2.134 -0.204 0.431
H11 1.244 -1.746 0.431
H12 -1.244 -1.746 0.431
H13 -2.134 -0.204 0.431

Atom - Atom Distances (Å)
  C1 C2 C3 C4 H5 H6 H7 H8 H9 H10 H11 H12 H13
C11.50521.50521.50522.16962.16962.16962.16032.16032.16032.16032.16032.1603
C21.50522.58702.58701.10613.02413.02411.09701.09702.76423.49963.49962.7642
C31.50522.58702.58703.02411.10613.02413.49962.76421.09701.09712.76423.4996
C41.50522.58702.58703.02413.02411.10612.76423.49963.49962.76421.09711.0970
H52.16961.10613.02413.02413.06203.06201.77191.77193.28004.02634.02633.2800
H62.16963.02411.10613.02413.06203.06204.02633.28001.77191.77193.28004.0263
H72.16963.02413.02411.10613.06203.06203.28004.02634.02633.28001.77191.7719
H82.16031.09703.49962.76421.77194.02633.28001.78073.71384.26893.71382.4882
H92.16031.09702.76423.49961.77193.28004.02631.78072.48823.71384.26893.7138
H102.16032.76421.09703.49963.28001.77194.02633.71382.48821.78073.71384.2689
H112.16033.49961.09712.76424.02631.77193.28004.26893.71381.78072.48823.7138
H122.16033.49962.76421.09714.02633.28001.77193.71384.26893.71382.48821.7807
H132.16032.76423.49961.09703.28004.02631.77192.48823.71384.26893.71381.7807

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 111.459 C1 C2 H8 111.264
C1 C2 H9 111.264 C1 C3 H6 111.459
C1 C3 H10 111.264 C1 C3 H11 111.264
C1 C4 H7 111.459 C1 C4 H12 111.264
C1 C4 H13 111.264 C2 C1 C3 118.493
C2 C1 C4 118.493 C3 C1 C4 118.493
H5 C2 H8 107.075 H5 C2 H9 107.075
H6 C3 H10 107.075 H6 C3 H11 107.075
H7 C4 H12 107.075 H7 C4 H13 107.075
H8 C2 H9 108.500 H10 C3 H11 108.500
H12 C4 H13 108.500
Electronic energy levels

Electronic state

Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/3-21G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.043     0.186
2 C -0.587     -0.447
3 C -0.587     -0.446
4 C -0.587     -0.411
5 H 0.189     0.137
6 H 0.189     0.136
7 H 0.189     0.129
8 H 0.192     0.124
9 H 0.192     0.122
10 H 0.192     0.123
11 H 0.192     0.122
12 H 0.192     0.112
13 H 0.192     0.113


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 -0.298 0.298
CHELPG        
AIM        
ESP 0.003 0.004 0.352 0.352


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -26.959 0.000 0.000
y 0.000 -26.959 0.000
z 0.000 0.000 -28.163
Traceless
 xyz
x 0.602 0.000 0.000
y 0.000 0.602 0.000
z 0.000 0.000 -1.204
Polar
3z2-r2-2.408
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 6.517 0.000 0.000
y 0.000 6.517 0.000
z 0.000 0.000 5.030


<r2> (average value of r2) Å2
<r2> 99.060
(<r2>)1/2 9.953