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

using model chemistry: PBEPBEultrafine/6-31G*

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C3V 2A"
Energy calculated at PBEPBEultrafine/6-31G*
 hartrees
Energy at 0K-157.557636
Energy at 298.15K-157.565953
HF Energy-157.557636
Nuclear repulsion energy124.620809
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 PBEPBEultrafine/6-31G*
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
(Å4/u)
Dep P Dep U
1 A1 2986 2937 42.59      
2 A1 2884 2836 72.92      
3 A1 1467 1442 17.48      
4 A1 1403 1380 1.10      
5 A1 1071 1054 0.73      
6 A1 759 746 0.59      
7 A1 248 244 3.75      
8 A2 3035 2984 0.00      
9 A2 1451 1427 0.00      
10 A2 949 933 0.00      
11 A2 140 138 0.00      
12 E 3038 2988 45.07      
12 E 3038 2988 45.07      
13 E 2985 2936 20.94      
13 E 2985 2936 20.94      
14 E 2872 2825 40.82      
14 E 2872 2825 40.82      
15 E 1477 1453 2.42      
15 E 1477 1453 2.42      
16 E 1449 1425 3.21      
16 E 1449 1425 3.21      
17 E 1375 1352 2.88      
17 E 1375 1352 2.88      
18 E 1282 1261 6.94      
18 E 1282 1261 6.94      
19 E 993 977 2.92      
19 E 993 977 2.92      
20 E 918 903 0.70      
20 E 918 903 0.70      
21 E 371 365 0.05      
21 E 371 365 0.05      
22 E 126 124 0.00      
22 E 126 124 0.00      

Unscaled Zero Point Vibrational Energy (zpe) 25082.0 cm-1
Scaled (by 0.9835) Zero Point Vibrational Energy (zpe) 24668.2 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 PBEPBEultrafine/6-31G*
ABC
0.26439 0.26439 0.14336

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

Point Group is C3v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 0.137
C2 0.000 1.490 -0.013
C3 1.290 -0.745 -0.013
C4 -1.290 -0.745 -0.013
H5 0.000 1.808 -1.083
H6 1.566 -0.904 -1.083
H7 -1.566 -0.904 -1.083
H8 -0.895 1.949 0.444
H9 0.895 1.949 0.444
H10 2.136 -0.199 0.444
H11 1.240 -1.750 0.444
H12 -1.240 -1.750 0.444
H13 -2.136 -0.199 0.444

Atom - Atom Distances (Å)
  C1 C2 C3 C4 H5 H6 H7 H8 H9 H10 H11 H12 H13
C11.49731.49731.49732.18142.18142.18142.16682.16682.16682.16682.16682.1668
C21.49732.58012.58011.11563.05383.05381.10561.10562.76093.49903.49902.7609
C31.49732.58012.58013.05381.11563.05383.49902.76091.10561.10562.76093.4990
C41.49732.58012.58013.05383.05381.11562.76093.49903.49902.76091.10561.1056
H52.18141.11563.05383.05383.13213.13211.77561.77563.30484.06584.06583.3048
H62.18143.05381.11563.05383.13213.13214.06583.30481.77561.77563.30484.0658
H72.18143.05383.05381.11563.13213.13213.30484.06584.06583.30481.77561.7756
H82.16681.10563.49902.76091.77564.06583.30481.79093.71524.27143.71522.4805
H92.16681.10562.76093.49901.77563.30484.06581.79092.48053.71524.27143.7152
H102.16682.76091.10563.49903.30481.77564.06583.71522.48051.79093.71524.2714
H112.16683.49901.10562.76094.06581.77563.30484.27143.71521.79092.48053.7152
H122.16683.49902.76091.10564.06583.30481.77563.71524.27143.71522.48051.7909
H132.16682.76093.49901.10563.30484.06581.77562.48053.71524.27143.71521.7909

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 112.382 C1 C2 H8 111.825
C1 C2 H9 111.825 C1 C3 H6 112.382
C1 C3 H10 111.825 C1 C3 H11 111.825
C1 C4 H7 112.382 C1 C4 H12 111.825
C1 C4 H13 111.825 C2 C1 C3 118.997
C2 C1 C4 118.997 C3 C1 C4 118.997
H5 C2 H8 106.137 H5 C2 H9 106.137
H6 C3 H10 106.137 H6 C3 H11 106.137
H7 C4 H12 106.137 H7 C4 H13 106.137
H8 C2 H9 108.177 H10 C3 H11 108.177
H12 C4 H13 108.177
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBEultrafine/6-31G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.154      
2 C -0.529      
3 C -0.529      
4 C -0.529      
5 H 0.158      
6 H 0.158      
7 H 0.158      
8 H 0.160      
9 H 0.160      
10 H 0.160      
11 H 0.160      
12 H 0.160      
13 H 0.160      


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 -0.206 0.206
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -26.937 -0.001 -0.000
y -0.001 -26.937 0.000
z -0.000 0.000 -27.824
Traceless
 xyz
x 0.444 -0.001 -0.000
y -0.001 0.443 0.000
z -0.000 0.000 -0.887
Polar
3z2-r2-1.774
x2-y20.000
xy-0.001
xz-0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 7.256 -0.002 0.001
y -0.002 7.256 0.000
z 0.001 0.000 5.521


<r2> (average value of r2) Å2
<r2> 99.183
(<r2>)1/2 9.959