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

using model chemistry: wB97X-D/TZVP

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/TZVP
 hartrees
Energy at 0K-156.576324
Energy at 298.15K-156.582581
HF Energy-156.576324
Nuclear repulsion energy109.446267
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/TZVP
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' 3268 3121 10.33      
2 A' 3169 3026 12.24      
3 A' 3163 3021 29.23      
4 A' 3146 3005 6.66      
5 A' 3132 2991 12.39      
6 A' 3034 2897 29.85      
7 A' 1529 1460 1.17      
8 A' 1519 1451 9.99      
9 A' 1478 1411 17.33      
10 A' 1419 1355 2.09      
11 A' 1347 1287 0.33      
12 A' 1297 1239 2.05      
13 A' 1203 1148 0.51      
14 A' 1150 1099 0.58      
15 A' 1002 957 5.20      
16 A' 891 851 5.96      
17 A' 517 494 0.61      
18 A' 295 281 0.18      
19 A" 3084 2946 18.64      
20 A" 1483 1416 8.81      
21 A" 1034 988 3.85      
22 A" 1002 957 27.14      
23 A" 796 760 61.62      
24 A" 747 713 0.60      
25 A" 539 514 7.74      
26 A" 217 207 2.07      
27 A" 96 91 1.10      

Unscaled Zero Point Vibrational Energy (zpe) 20777.7 cm-1
Scaled (by 0.955) Zero Point Vibrational Energy (zpe) 19842.7 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 wB97X-D/TZVP
ABC
1.27566 0.13439 0.12437

See section I.F.4 to change rotational constant units
Geometric Data calculated at wB97X-D/TZVP

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 1.358 -1.401 0.000
C2 0.148 -0.743 0.000
C3 0.000 0.628 0.000
C4 -1.316 1.329 0.000
H5 2.293 -0.853 0.000
H6 1.409 -2.482 0.000
H7 -0.757 -1.346 0.000
H8 0.895 1.245 0.000
H9 -2.144 0.618 0.000
H10 -1.419 1.973 0.879
H11 -1.419 1.973 -0.879

Atom - Atom Distances (Å)
  C1 C2 C3 C4 H5 H6 H7 H8 H9 H10 H11
C11.37752.44243.82161.08371.08172.11622.68654.04334.45784.4578
C21.37751.37972.53712.14762.14791.08772.12372.66643.25673.2567
C32.44241.37971.49062.72973.41482.11491.08642.14442.14332.1433
C43.82162.53711.49064.21694.68492.73282.21211.09131.09441.0944
H51.08372.14762.72974.21691.85333.08972.52094.67484.74714.7471
H61.08172.14793.41484.68491.85332.44613.76214.71605.34965.3496
H72.11621.08772.11492.73283.08972.44613.07282.40513.49683.4968
H82.68652.12371.08642.21212.52093.76213.07283.10292.57982.5798
H94.04332.66642.14441.09134.67484.71602.40513.10291.77001.7700
H104.45783.25672.14331.09444.74715.34963.49682.57981.77001.7573
H114.45783.25672.14331.09444.74715.34963.49682.57981.77001.7573

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 124.697 C1 C2 H7 117.798
C2 C1 H5 121.050 C2 C1 H6 121.241
C2 C3 C4 124.184 C2 C3 H8 118.406
C3 C2 H7 117.504 C3 C4 H9 111.367
C3 C4 H10 111.087 C3 C4 H11 111.087
C4 C3 H8 117.411 H5 C1 H6 117.709
H9 C4 H10 108.153 H9 C4 H11 108.153
H10 C4 H11 106.813
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at wB97X-D/TZVP Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.325      
2 C -0.095      
3 C -0.100      
4 C -0.396      
5 H 0.128      
6 H 0.128      
7 H 0.130      
8 H 0.140      
9 H 0.130      
10 H 0.130      
11 H 0.130      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -0.363 0.424 0.000 0.559
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -24.614 0.253 0.000
y 0.253 -24.165 0.000
z 0.000 0.000 -28.574
Traceless
 xyz
x 1.755 0.253 0.000
y 0.253 2.429 0.000
z 0.000 0.000 -4.185
Polar
3z2-r2-8.369
x2-y2-0.450
xy0.253
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 8.206 -2.300 0.000
y -2.300 9.392 0.000
z 0.000 0.000 4.932


<r2> (average value of r2) Å2
<r2> 103.179
(<r2>)1/2 10.158