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

using model chemistry: PBEPBEultrafine/aug-cc-pVDZ

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/aug-cc-pVDZ
 hartrees
Energy at 0K-156.369973
Energy at 298.15K-156.376190
HF Energy-156.369973
Nuclear repulsion energy108.319307
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/aug-cc-pVDZ
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 3168 10.88      
2 A' 3083 3064 18.22      
3 A' 3078 3059 23.96      
4 A' 3059 3041 6.49      
5 A' 3044 3026 11.22      
6 A' 2933 2915 34.11      
7 A' 1501 1492 1.98      
8 A' 1451 1442 7.96      
9 A' 1401 1393 15.81      
10 A' 1333 1325 2.29      
11 A' 1288 1280 1.96      
12 A' 1242 1235 2.69      
13 A' 1200 1192 1.48      
14 A' 1117 1110 1.04      
15 A' 949 943 4.68      
16 A' 861 856 7.76      
17 A' 493 489 0.76      
18 A' 279 277 0.22      
19 A" 2979 2961 16.66      
20 A" 1388 1380 6.58      
21 A" 974 968 6.81      
22 A" 951 945 19.71      
23 A" 779 774 49.10      
24 A" 713 709 0.04      
25 A" 524 521 6.52      
26 A" 213 211 1.71      
27 A" 149 149 0.96      

Unscaled Zero Point Vibrational Energy (zpe) 20083.4 cm-1
Scaled (by 0.9939) 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/aug-cc-pVDZ
ABC
1.25056 0.13176 0.12193

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBEultrafine/aug-cc-pVDZ

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 1.358 -1.436 0.000
C2 0.145 -0.750 0.000
C3 0.000 0.639 0.000
C4 -1.311 1.355 0.000
H5 2.315 -0.897 0.000
H6 1.394 -2.532 0.000
H7 -0.781 -1.351 0.000
H8 0.914 1.256 0.000
H9 -2.162 0.648 0.000
H10 -1.414 2.017 0.886
H11 -1.414 2.017 -0.886

Atom - Atom Distances (Å)
  C1 C2 C3 C4 H5 H6 H7 H8 H9 H10 H11
C11.39342.48003.86151.09881.09632.14052.72854.09004.51574.5157
C21.39341.39682.55932.17482.17611.10412.14852.69713.29723.2972
C32.48001.39681.49362.77803.46402.13821.10282.16162.16402.1640
C43.86152.55931.49364.26804.73542.75732.22731.10591.11091.1109
H51.09882.17482.77804.26801.87653.12922.56824.73534.81444.8144
H61.09632.17613.46404.73541.87652.47523.81814.77025.41875.4187
H72.14051.10412.13822.75733.12922.47523.10992.42943.53963.5396
H82.72852.14851.10282.22732.56823.81813.10993.13522.60482.6048
H94.09002.69712.16161.10594.73534.77022.42943.13521.79371.7937
H104.51573.29722.16401.11094.81445.41873.53962.60481.79371.7721
H114.51573.29722.16401.11094.81445.41873.53962.60481.79371.7721

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 125.454 C1 C2 H7 117.514
C2 C1 H5 121.090 C2 C1 H6 121.413
C2 C3 C4 124.582 C2 C3 H8 118.055
C3 C2 H7 117.032 C3 C4 H9 111.645
C3 C4 H10 111.533 C3 C4 H11 111.533
C4 C3 H8 117.364 H5 C1 H6 117.497
H9 C4 H10 108.028 H9 C4 H11 108.028
H10 C4 H11 105.809
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBEultrafine/aug-cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.448      
2 C 1.504      
3 C 0.807      
4 C 0.265      
5 H -0.536      
6 H -0.524      
7 H -0.792      
8 H -0.723      
9 H -0.281      
10 H -0.084      
11 H -0.084      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -0.418 0.506 0.000 0.656
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -25.235 0.275 0.000
y 0.275 -24.797 0.000
z 0.000 0.000 -28.900
Traceless
 xyz
x 1.614 0.275 0.000
y 0.275 2.271 0.000
z 0.000 0.000 -3.884
Polar
3z2-r2-7.768
x2-y2-0.438
xy0.275
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 9.563 -2.687 0.000
y -2.687 10.728 0.000
z 0.000 0.000 6.174


<r2> (average value of r2) Å2
<r2> 105.309
(<r2>)1/2 10.262