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All results from a given calculation for C5H11 (2-Methylbut-2-yl 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 C1 1A
Energy calculated at B3LYP/3-21G
 hartrees
Energy at 0K-196.041614
Energy at 298.15K-196.052294
Nuclear repulsion energy180.662998
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
(Å4/u)
Dep P Dep U
1 A 3125 3015 37.62      
2 A 3114 3005 36.30      
3 A 3100 2992 35.02      
4 A 3095 2986 20.47      
5 A 3070 2962 10.43      
6 A 3056 2949 31.46      
7 A 3051 2944 21.62      
8 A 3048 2941 19.52      
9 A 2978 2873 40.67      
10 A 2956 2852 42.01      
11 A 2948 2845 27.17      
12 A 1571 1516 5.65      
13 A 1568 1513 6.28      
14 A 1560 1505 5.66      
15 A 1552 1498 7.66      
16 A 1547 1493 6.37      
17 A 1538 1484 3.65      
18 A 1537 1483 1.01      
19 A 1469 1418 1.88      
20 A 1454 1403 6.61      
21 A 1447 1396 5.05      
22 A 1388 1339 2.14      
23 A 1344 1297 2.42      
24 A 1296 1251 9.22      
25 A 1259 1215 4.04      
26 A 1118 1078 4.27      
27 A 1078 1040 6.77      
28 A 1049 1012 2.42      
29 A 1016 981 1.17      
30 A 1008 973 1.60      
31 A 979 944 0.62      
32 A 927 894 0.10      
33 A 804 776 3.81      
34 A 720 695 1.20      
35 A 438 422 1.47      
36 A 376 363 0.03      
37 A 338 326 1.38      
38 A 236 228 0.34      
39 A 193 186 2.04      
40 A 129 125 0.02      
41 A 108 105 0.10      
42 A 36 35 0.20      

Unscaled Zero Point Vibrational Energy (zpe) 32312.2 cm-1
Scaled (by 0.9649) Zero Point Vibrational Energy (zpe) 31178.0 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
0.22965 0.11283 0.08610

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

Point Group is C1

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 -0.828 1.456 0.030
H2 0.060 2.082 -0.114
H3 -1.565 1.722 -0.737
H4 -1.265 1.731 1.008
C5 2.044 -0.042 -0.348
H6 2.076 1.047 -0.457
H7 2.988 -0.369 0.101
H8 1.957 -0.484 -1.346
C9 0.838 -0.470 0.536
H10 0.840 -1.562 0.632
H11 0.988 -0.058 1.549
C12 -0.490 -0.011 -0.021
C13 -1.617 -0.993 -0.189
H14 -1.245 -1.984 -0.475
H15 -2.193 -1.117 0.747
H16 -2.327 -0.654 -0.955

Atom - Atom Distances (Å)
  C1 H2 H3 H4 C5 H6 H7 H8 C9 H10 H11 C12 C13 H14 H15 H16
C11.09621.09751.10593.26062.97264.23053.66212.59573.50042.80951.50572.58213.50172.99922.7699
H21.09621.77751.77192.91552.29163.82473.42032.74583.80092.86452.16573.50354.28584.00643.7275
H31.09751.77751.77144.03583.71385.08044.20033.49304.29533.86192.16172.77043.72943.26462.5052
H41.10591.77191.77143.99133.71174.82924.56373.08033.92672.92702.16642.99614.00013.00633.2670
C53.26062.91554.03583.99131.09511.09601.09461.55512.17292.17102.55463.78613.82214.50634.4552
H62.97262.29163.71383.71171.09511.77521.77472.19553.08622.53542.80934.22804.49714.93554.7468
H74.23053.82475.08044.82921.09601.77521.78072.19582.51362.48823.49834.65664.56765.27455.4268
H83.66213.42034.20034.56371.09461.77471.78072.18902.51393.08182.82203.79093.64194.69064.3051
C92.59572.74583.49303.08031.55512.19552.19582.18901.09691.10381.51122.61322.76703.10663.5038
H103.50043.80094.29533.92672.17293.08622.51362.51391.09691.76842.14542.65302.39843.06803.6573
H112.80952.86453.86192.92702.17102.53542.48823.08181.10381.76842.15653.26873.57713.44744.1974
C121.50572.16572.16172.16642.55462.80933.49832.82201.51122.14542.15651.50502.16152.17152.1596
C132.58213.50352.77042.99613.78614.22804.65663.79092.61322.65303.26871.50501.09651.10621.0979
H143.50174.28583.72944.00013.82214.49714.56763.64192.76702.39843.57712.16151.09651.77301.7803
H152.99924.00643.26463.00634.50634.93555.27454.69063.10663.06803.44742.17151.10621.77301.7693
H162.76993.72752.50523.26704.45524.74685.42684.30513.50383.65734.19742.15961.09791.78031.7693

picture of 2-Methylbut-2-yl radical state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C12 C9 118.722 C1 C12 C13 118.107
H2 C1 H3 108.244 H2 C1 H4 107.151
H2 C1 C12 111.713 H3 C1 H4 107.015
H3 C1 C12 111.313 H4 C1 C12 111.182
C5 C9 H10 108.805 C5 C9 H11 108.268
C5 C9 C12 112.837 H6 C5 H7 108.224
H6 C5 H8 108.285 H6 C5 C9 110.673
H7 C5 H8 108.759 H7 C5 C9 110.639
H8 C5 C9 110.190 C9 C12 C13 120.085
H10 C9 H11 106.938 H10 C9 C12 109.668
H11 C9 C12 110.138 C12 C13 H14 111.407
C12 C13 H15 111.618 C12 C13 H16 111.174
H14 C13 H15 107.196 H14 C13 H16 108.442
H15 C13 H16 106.786
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/3-21G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.595     -0.415
2 H 0.196     0.110
3 H 0.192     0.121
4 H 0.190     0.123
5 C -0.542     -0.330
6 H 0.188     0.096
7 H 0.182     0.088
8 H 0.191     0.083
9 C -0.431     0.004
10 H 0.189     0.044
11 H 0.189     0.032
12 C 0.070     0.144
13 C -0.592     -0.552
14 H 0.192     0.147
15 H 0.190     0.146
16 H 0.191     0.160


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -0.100 0.005 0.205 0.228
CHELPG        
AIM        
ESP -0.120 0.011 0.221 0.252


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -33.788 -0.051 0.306
y -0.051 -33.534 0.054
z 0.306 0.054 -34.590
Traceless
 xyz
x 0.274 -0.051 0.306
y -0.051 0.655 0.054
z 0.306 0.054 -0.929
Polar
3z2-r2-1.858
x2-y2-0.254
xy-0.051
xz0.306
yz0.054


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 8.553 -0.030 0.167
y -0.030 7.614 0.041
z 0.167 0.041 6.413


<r2> (average value of r2) Å2
<r2> 156.876
(<r2>)1/2 12.525