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

using model chemistry: B3LYP/cc-pVTZ

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/cc-pVTZ
 hartrees
Energy at 0K-157.859959
Energy at 298.15K-157.868415
Nuclear repulsion energy125.486739
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/cc-pVTZ
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 3032 2931 37.18      
2 A1 2924 2826 95.05      
3 A1 1489 1439 16.94      
4 A1 1427 1379 2.23      
5 A1 1097 1060 0.18      
6 A1 758 732 1.35      
7 A1 265 256 2.93      
8 A2 3071 2968 0.00      
9 A2 1469 1420 0.00      
10 A2 973 941 0.00      
11 A2 134 130 0.00      
12 E 3075 2973 48.87      
12 E 3075 2973 48.86      
13 E 3029 2928 23.23      
13 E 3029 2928 23.22      
14 E 2916 2818 35.33      
14 E 2916 2818 35.34      
15 E 1492 1443 2.81      
15 E 1492 1443 2.81      
16 E 1471 1422 2.94      
16 E 1471 1422 2.94      
17 E 1399 1352 3.40      
17 E 1399 1352 3.40      
18 E 1295 1251 6.16      
18 E 1295 1251 6.16      
19 E 1008 975 1.87      
19 E 1008 975 1.87      
20 E 938 907 0.61      
20 E 938 907 0.61      
21 E 381 368 0.12      
21 E 381 368 0.12      
22 E 133 129 0.02      
22 E 133 129 0.02      

Unscaled Zero Point Vibrational Energy (zpe) 25456.5 cm-1
Scaled (by 0.9666) Zero Point Vibrational Energy (zpe) 24606.3 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 B3LYP/cc-pVTZ
ABC
0.26756 0.26756 0.14506

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/cc-pVTZ

Point Group is C3v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 0.147
C2 0.000 1.483 -0.014
C3 1.284 -0.741 -0.014
C4 -1.284 -0.741 -0.014
H5 0.000 1.781 -1.076
H6 1.542 -0.891 -1.076
H7 -1.542 -0.891 -1.076
H8 -0.885 1.939 0.434
H9 0.885 1.939 0.434
H10 2.122 -0.203 0.434
H11 1.237 -1.736 0.434
H12 -1.237 -1.736 0.434
H13 -2.122 -0.203 0.434

Atom - Atom Distances (Å)
  C1 C2 C3 C4 H5 H6 H7 H8 H9 H10 H11 H12 H13
C11.49141.49141.49142.16062.16062.16062.15102.15102.15102.15102.15102.1510
C21.49142.56802.56801.10273.02293.02291.09231.09232.74713.47743.47742.7471
C31.49142.56802.56803.02291.10273.02293.47742.74711.09231.09232.74713.4774
C41.49142.56802.56803.02293.02291.10272.74713.47743.47742.74711.09231.0923
H52.16061.10273.02293.02293.08483.08481.75741.75743.27434.02264.02263.2743
H62.16063.02291.10273.02293.08483.08484.02263.27431.75741.75743.27434.0226
H72.16063.02293.02291.10273.08483.08483.27434.02264.02263.27431.75741.7574
H82.15101.09233.47742.74711.75744.02263.27431.77013.69244.24423.69242.4741
H92.15101.09232.74713.47741.75743.27434.02261.77012.47413.69244.24423.6924
H102.15102.74711.09233.47743.27431.75744.02263.69242.47411.77003.69244.2442
H112.15103.47741.09232.74714.02261.75743.27434.24423.69241.77002.47413.6924
H122.15103.47742.74711.09234.02263.27431.75743.69244.24423.69242.47411.7700
H132.15102.74713.47741.09233.27434.02261.75742.47413.69244.24423.69241.7700

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 111.919 C1 C2 H8 111.791
C1 C2 H9 111.791 C1 C3 H6 111.919
C1 C3 H10 111.791 C1 C3 H11 111.791
C1 C4 H7 111.919 C1 C4 H12 111.791
C1 C4 H13 111.791 C2 C1 C3 118.842
C2 C1 C4 118.842 C3 C1 C4 118.842
H5 C2 H8 106.388 H5 C2 H9 106.388
H6 C3 H10 106.388 H6 C3 H11 106.388
H7 C4 H12 106.388 H7 C4 H13 106.388
H8 C2 H9 108.243 H10 C3 H11 108.243
H12 C4 H13 108.243
Electronic energy levels

Electronic state

Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.042     0.268
2 C -0.282     -0.455
3 C -0.282     -0.367
4 C -0.282     -0.367
5 H 0.083     0.122
6 H 0.083     0.105
7 H 0.083     0.105
8 H 0.093     0.115
9 H 0.093     0.115
10 H 0.093     0.091
11 H 0.093     0.089
12 H 0.093     0.089
13 H 0.093     0.091


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 -0.173 0.173
CHELPG        
AIM        
ESP 0.002 -0.222 0.000 0.222


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -27.795 0.000 0.000
y 0.000 -27.795 0.000
z 0.000 0.000 -28.468
Traceless
 xyz
x 0.337 0.000 0.000
y 0.000 0.337 0.000
z 0.000 0.000 -0.673
Polar
3z2-r2-1.347
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 8.133 0.000 0.000
y 0.000 8.134 0.000
z 0.000 0.000 6.459


<r2> (average value of r2) Å2
<r2> 98.590
(<r2>)1/2 9.929