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

using model chemistry: PBEPBE/3-21G

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes CS 2A"
Energy calculated at PBEPBE/3-21G
 hartrees
Energy at 0K-155.497443
Energy at 298.15K-155.503716
HF Energy-155.497443
Nuclear repulsion energy108.352236
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 PBEPBE/3-21G
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' 3188 3159 11.97      
2 A' 3092 3064 21.06      
3 A' 3088 3060 16.17      
4 A' 3066 3038 3.86      
5 A' 3047 3020 9.76      
6 A' 2945 2919 24.66      
7 A' 1522 1508 6.60      
8 A' 1502 1489 2.69      
9 A' 1475 1462 14.45      
10 A' 1408 1395 6.48      
11 A' 1341 1329 0.88      
12 A' 1276 1264 1.78      
13 A' 1224 1213 0.71      
14 A' 1125 1114 0.21      
15 A' 1003 994 10.40      
16 A' 874 866 5.49      
17 A' 507 503 0.58      
18 A' 286 284 0.18      
19 A" 2985 2958 18.70      
20 A" 1494 1480 9.45      
21 A" 1027 1018 6.96      
22 A" 971 962 25.12      
23 A" 772 765 67.64      
24 A" 719 713 0.03      
25 A" 531 526 6.83      
26 A" 214 212 2.07      
27 A" 148 147 1.40      

Unscaled Zero Point Vibrational Energy (zpe) 20415.5 cm-1
Scaled (by 0.9909) Zero Point Vibrational Energy (zpe) 20229.7 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 PBEPBE/3-21G
ABC
1.24497 0.13193 0.12204

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

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 1.374 -1.418 0.000
C2 0.153 -0.748 0.000
C3 0.000 0.639 0.000
C4 -1.332 1.338 0.000
H5 2.319 -0.866 0.000
H6 1.426 -2.509 0.000
H7 -0.765 -1.353 0.000
H8 0.900 1.268 0.000
H9 -2.162 0.611 0.000
H10 -1.444 1.991 0.889
H11 -1.444 1.991 -0.889

Atom - Atom Distances (Å)
  C1 C2 C3 C4 H5 H6 H7 H8 H9 H10 H11
C11.39242.47383.86231.09431.09212.13962.72774.07694.51114.5111
C21.39241.39602.56092.16882.17271.09912.15032.68503.29313.2931
C32.47381.39601.50422.76443.45622.13391.09772.16272.16842.1684
C43.86232.56091.50424.26444.73362.75012.23281.10391.10891.1089
H51.09432.16882.76444.26441.86963.12172.56284.71824.80704.8070
H61.09212.17273.45624.73361.86962.47743.81364.75525.41085.4108
H72.13961.09912.13392.75013.12172.47743.10502.41033.52623.5262
H82.72772.15031.09772.23282.56283.81363.10503.13202.60842.6084
H94.07692.68502.16271.10394.71824.75522.41033.13201.79251.7925
H104.51113.29312.16841.10894.80705.41083.52622.60841.79251.7782
H114.51113.29312.16841.10894.80705.41083.52622.60841.79251.7782

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 125.040 C1 C2 H7 117.885
C2 C1 H5 120.957 C2 C1 H6 121.505
C2 C3 C4 123.976 C2 C3 H8 118.660
C3 C2 H7 117.075 C3 C4 H9 111.110
C3 C4 H10 111.266 C3 C4 H11 111.266
C4 C3 H8 117.364 H5 C1 H6 117.538
H9 C4 H10 108.205 H9 C4 H11 108.205
H10 C4 H11 106.608
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/3-21G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.393      
2 C -0.213      
3 C -0.163      
4 C -0.652      
5 H 0.192      
6 H 0.196      
7 H 0.191      
8 H 0.190      
9 H 0.212      
10 H 0.220      
11 H 0.220      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -0.345 0.394 0.000 0.523
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -23.985 -0.056 0.000
y -0.056 -23.595 0.000
z 0.000 0.000 -28.450
Traceless
 xyz
x 2.038 -0.056 0.000
y -0.056 2.622 0.000
z 0.000 0.000 -4.660
Polar
3z2-r2-9.320
x2-y2-0.390
xy-0.056
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 7.395 -2.209 0.000
y -2.209 8.472 0.000
z 0.000 0.000 2.895


<r2> (average value of r2) Å2
<r2> 104.573
(<r2>)1/2 10.226