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All results from a given calculation for CH3CHCHCH2 (methylallyl radical)

using model chemistry: HSEh1PBE/6-31G**

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes CS 2A"
Energy calculated at HSEh1PBE/6-31G**
 hartrees
Energy at 0K-156.401546
Energy at 298.15K-156.407860
HF Energy-156.401546
Nuclear repulsion energy109.205806
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 HSEh1PBE/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 A' 3286 3136 11.56      
2 A' 3184 3039 12.69      
3 A' 3177 3031 28.48      
4 A' 3158 3014 8.20      
5 A' 3143 2999 11.88      
6 A' 3035 2896 31.60      
7 A' 1549 1478 3.86      
8 A' 1525 1455 5.82      
9 A' 1485 1417 13.28      
10 A' 1420 1355 1.18      
11 A' 1346 1285 0.62      
12 A' 1294 1235 2.00      
13 A' 1223 1167 0.51      
14 A' 1158 1105 0.09      
15 A' 992 947 5.78      
16 A' 894 853 5.26      
17 A' 507 484 0.70      
18 A' 286 273 0.15      
19 A" 3089 2948 20.95      
20 A" 1482 1415 6.65      
21 A" 1026 980 4.14      
22 A" 996 950 17.96      
23 A" 783 747 49.32      
24 A" 738 704 0.22      
25 A" 546 521 4.77      
26 A" 220 210 1.39      
27 A" 153 146 0.93      

Unscaled Zero Point Vibrational Energy (zpe) 20846.5 cm-1
Scaled (by 0.9543) Zero Point Vibrational Energy (zpe) 19893.8 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 HSEh1PBE/6-31G**
ABC
1.27237 0.13375 0.12379

See section I.F.4 to change rotational constant units
Geometric Data calculated at HSEh1PBE/6-31G**

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 1.354 -1.418 0.000
C2 0.146 -0.746 0.000
C3 0.000 0.632 0.000
C4 -1.309 1.341 0.000
H5 2.296 -0.878 0.000
H6 1.400 -2.501 0.000
H7 -0.768 -1.342 0.000
H8 0.901 1.244 0.000
H9 -2.147 0.638 0.000
H10 -1.415 1.992 0.878
H11 -1.415 1.992 -0.878

Atom - Atom Distances (Å)
  C1 C2 C3 C4 H5 H6 H7 H8 H9 H10 H11
C11.38242.45703.83421.08611.08382.12262.70084.06014.47974.4797
C21.38241.38552.54362.15382.15711.09122.12862.67833.27153.2715
C32.45701.38551.48822.74793.43172.11831.08982.14702.15002.1500
C43.83422.54361.48824.23264.70072.73722.21221.09401.09821.0982
H51.08612.15382.74794.23261.85433.09842.53934.69444.77264.7726
H61.08382.15713.43174.70071.85432.45763.77854.73655.37425.3742
H72.12261.09122.11832.73723.09842.45763.07842.41363.50823.5082
H82.70082.12861.08982.21222.53933.77853.07843.10822.58772.5877
H94.06012.67832.14701.09404.69444.73652.41363.10821.77171.7717
H104.47973.27152.15001.09824.77265.37423.50822.58771.77171.7559
H114.47973.27152.15001.09824.77265.37423.50822.58771.77171.7559

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 125.167 C1 C2 H7 117.738
C2 C1 H5 121.041 C2 C1 H6 121.545
C2 C3 C4 124.495 C2 C3 H8 118.133
C3 C2 H7 117.095 C3 C4 H9 111.589
C3 C4 H10 111.573 C3 C4 H11 111.573
C4 C3 H8 117.372 H5 C1 H6 117.414
H9 C4 H10 107.843 H9 C4 H11 107.843
H10 C4 H11 106.159
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HSEh1PBE/6-31G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.297      
2 C -0.069      
3 C -0.098      
4 C -0.431      
5 H 0.122      
6 H 0.126      
7 H 0.109      
8 H 0.114      
9 H 0.136      
10 H 0.145      
11 H 0.145      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -0.311 0.363 0.000 0.478
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -24.098 0.081 0.000
y 0.081 -23.680 0.000
z 0.000 0.000 -27.789
Traceless
 xyz
x 1.636 0.081 0.000
y 0.081 2.264 0.000
z 0.000 0.000 -3.900
Polar
3z2-r2-7.800
x2-y2-0.418
xy0.081
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 7.544 -2.085 0.000
y -2.085 8.654 0.000
z 0.000 0.000 3.424


<r2> (average value of r2) Å2
<r2> 103.230
(<r2>)1/2 10.160