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All results from a given calculation for CH3CHCHCH2 (methylallyl 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 CS 2A"
Energy calculated at PBEPBEultrafine/6-31G*
 hartrees
Energy at 0K-156.350006
Energy at 298.15K-156.356199
HF Energy-156.350006
Nuclear repulsion energy108.451192
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
4/u)
Dep P Dep U
1 A' 3195 3142 13.97      
2 A' 3101 3050 11.50      
3 A' 3086 3035 35.48      
4 A' 3063 3013 10.54      
5 A' 3052 3002 11.33      
6 A' 2946 2898 34.76      
7 A' 1521 1496 2.65      
8 A' 1490 1466 5.59      
9 A' 1455 1431 14.28      
10 A' 1387 1364 1.13      
11 A' 1314 1293 1.59      
12 A' 1262 1241 1.92      
13 A' 1216 1196 0.74      
14 A' 1130 1111 0.14      
15 A' 969 953 6.60      
16 A' 873 858 5.90      
17 A' 493 485 0.75      
18 A' 277 273 0.13      
19 A" 2988 2939 22.06      
20 A" 1453 1429 6.59      
21 A" 998 982 3.64      
22 A" 967 951 16.97      
23 A" 751 738 46.27      
24 A" 712 701 1.53      
25 A" 528 520 5.05      
26 A" 213 209 1.27      
27 A" 153 150 1.09      

Unscaled Zero Point Vibrational Energy (zpe) 20295.8 cm-1
Scaled (by 0.9835) Zero Point Vibrational Energy (zpe) 19960.9 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
1.25752 0.13188 0.12208

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

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 1.358 -1.434 0.000
C2 0.147 -0.750 0.000
C3 0.000 0.637 0.000
C4 -1.312 1.353 0.000
H5 2.312 -0.896 0.000
H6 1.399 -2.526 0.000
H7 -0.777 -1.348 0.000
H8 0.909 1.254 0.000
H9 -2.161 0.649 0.000
H10 -1.419 2.013 0.884
H11 -1.419 2.013 -0.884

Atom - Atom Distances (Å)
  C1 C2 C3 C4 H5 H6 H7 H8 H9 H10 H11
C11.39082.47663.85961.09511.09272.13642.72504.08924.51394.5139
C21.39081.39512.55972.17022.17261.10052.14432.69893.29683.2968
C32.47661.39511.49472.77463.45852.13221.09892.16132.16532.1653
C43.85962.55971.49474.26574.73232.75412.22381.10341.10841.1084
H51.09512.17022.77464.26571.86783.12172.56754.73274.81354.8135
H61.09272.17263.45854.73231.86782.47363.81134.76975.41505.4150
H72.13641.10052.13222.75413.12172.47363.10092.43003.53453.5345
H82.72502.14431.09892.22382.56753.81133.10093.12992.60402.6040
H94.08922.69892.16131.10344.73274.76972.43003.12991.78701.7870
H104.51393.29682.16531.10844.81355.41503.53452.60401.78701.7683
H114.51393.29682.16531.10844.81355.41503.53452.60401.78701.7683

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 125.493 C1 C2 H7 117.614
C2 C1 H5 121.164 C2 C1 H6 121.592
C2 C3 C4 124.657 C2 C3 H8 118.099
C3 C2 H7 116.894 C3 C4 H9 111.704
C3 C4 H10 111.713 C3 C4 H11 111.713
C4 C3 H8 117.245 H5 C1 H6 117.244
H9 C4 H10 107.797 H9 C4 H11 107.797
H10 C4 H11 105.824
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 -0.365      
2 C -0.071      
3 C -0.099      
4 C -0.538      
5 H 0.147      
6 H 0.150      
7 H 0.128      
8 H 0.133      
9 H 0.168      
10 H 0.174      
11 H 0.174      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -0.346 0.399 0.000 0.528
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -24.213 0.056 0.000
y 0.056 -23.747 0.000
z 0.000 0.000 -27.821
Traceless
 xyz
x 1.570 0.056 0.000
y 0.056 2.270 0.000
z 0.000 0.000 -3.841
Polar
3z2-r2-7.682
x2-y2-0.467
xy0.056
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 7.804 -2.287 0.000
y -2.287 8.995 0.000
z 0.000 0.000 3.400


<r2> (average value of r2) Å2
<r2> 104.529
(<r2>)1/2 10.224