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All results from a given calculation for CH3CHCHCH2 (methylallyl 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 CS 2A"
Energy calculated at wB97X-D/6-311G**
 hartrees
Energy at 0K-156.563213
Energy at 298.15K-156.569473
HF Energy-156.563213
Nuclear repulsion energy109.294301
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 A' 3258 3116 12.80      
2 A' 3159 3021 15.17      
3 A' 3154 3017 30.34      
4 A' 3138 3001 8.62      
5 A' 3123 2987 13.24      
6 A' 3025 2893 32.79      
7 A' 1528 1461 2.44      
8 A' 1515 1449 8.73      
9 A' 1474 1410 17.24      
10 A' 1413 1352 1.74      
11 A' 1342 1283 0.34      
12 A' 1293 1236 2.07      
13 A' 1199 1147 0.45      
14 A' 1149 1099 0.42      
15 A' 997 953 5.28      
16 A' 889 850 5.81      
17 A' 514 492 0.66      
18 A' 293 280 0.18      
19 A" 3076 2942 22.76      
20 A" 1479 1415 8.43      
21 A" 1030 985 5.45      
22 A" 1000 957 24.23      
23 A" 790 755 55.90      
24 A" 744 711 0.62      
25 A" 538 515 6.95      
26 A" 218 208 1.95      
27 A" 104 99 0.95      

Unscaled Zero Point Vibrational Energy (zpe) 20719.8 cm-1
Scaled (by 0.9565) Zero Point Vibrational Energy (zpe) 19818.4 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
1.27208 0.13402 0.12402

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

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 1.360 -1.404 0.000
C2 0.148 -0.745 0.000
C3 0.000 0.629 0.000
C4 -1.317 1.332 0.000
H5 2.295 -0.854 0.000
H6 1.412 -2.486 0.000
H7 -0.759 -1.348 0.000
H8 0.896 1.245 0.000
H9 -2.148 0.621 0.000
H10 -1.420 1.977 0.880
H11 -1.420 1.977 -0.880

Atom - Atom Distances (Å)
  C1 C2 C3 C4 H5 H6 H7 H8 H9 H10 H11
C11.37972.44613.82771.08491.08292.11942.68974.05044.46494.4649
C21.37971.38202.54142.15012.15121.08892.12642.67143.26223.2622
C32.44611.38201.49282.73283.41982.11781.08772.14762.14662.1466
C43.82772.54141.49284.22224.69242.73742.21511.09271.09591.0959
H51.08492.15012.73284.22221.85543.09362.52294.68154.75344.7534
H61.08292.15123.41984.69241.85542.45053.76654.72485.35825.3582
H72.11941.08892.11782.73743.09362.45053.07662.41013.50263.5026
H82.68972.12641.08772.21512.52293.76653.07663.10722.58382.5838
H94.05042.67142.14761.09274.68154.72482.41013.10721.77211.7721
H104.46493.26222.14661.09594.75345.35823.50262.58381.77211.7592
H114.46493.26222.14661.09594.75345.35823.50262.58381.77211.7592

picture of methylallyl radical state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 C3 124.681 C1 C2 H7 117.825
C2 C1 H5 121.011 C2 C1 H6 121.277
C2 C3 C4 124.218 C2 C3 H8 118.366
C3 C2 H7 117.494 C3 C4 H9 111.390
C3 C4 H10 111.116 C3 C4 H11 111.116
C4 C3 H8 117.417 H5 C1 H6 117.712
H9 C4 H10 108.131 H9 C4 H11 108.131
H10 C4 H11 106.771
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 -0.242      
2 C -0.123      
3 C -0.166      
4 C -0.305      
5 H 0.117      
6 H 0.124      
7 H 0.106      
8 H 0.114      
9 H 0.117      
10 H 0.129      
11 H 0.129      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -0.337 0.390 0.000 0.515
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -24.485 0.189 0.000
y 0.189 -24.022 0.000
z 0.000 0.000 -28.356
Traceless
 xyz
x 1.704 0.189 0.000
y 0.189 2.398 0.000
z 0.000 0.000 -4.102
Polar
3z2-r2-8.204
x2-y2-0.462
xy0.189
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 7.996 -2.240 0.000
y -2.240 9.113 0.000
z 0.000 0.000 4.137


<r2> (average value of r2) Å2
<r2> 103.319
(<r2>)1/2 10.165