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

using model chemistry: HSEh1PBE/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 HSEh1PBE/3-21G*
 hartrees
Energy at 0K-155.537867
Energy at 298.15K-155.544252
HF Energy-155.537867
Nuclear repulsion energy109.103220
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/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' 3278 3147 10.14      
2 A' 3181 3054 27.42      
3 A' 3178 3051 5.90      
4 A' 3159 3032 2.98      
5 A' 3137 3011 9.23      
6 A' 3038 2916 21.95      
7 A' 1565 1502 8.82      
8 A' 1545 1483 2.01      
9 A' 1519 1458 13.76      
10 A' 1459 1400 8.40      
11 A' 1385 1330 0.24      
12 A' 1318 1265 1.69      
13 A' 1239 1189 0.57      
14 A' 1160 1113 0.12      
15 A' 1037 995 10.05      
16 A' 901 864 4.70      
17 A' 525 504 0.52      
18 A' 297 285 0.18      
19 A" 3084 2960 16.99      
20 A" 1540 1479 10.56      
21 A" 1068 1026 7.33      
22 A" 1008 967 25.73      
23 A" 812 780 75.23      
24 A" 751 720 0.03      
25 A" 551 529 6.82      
26 A" 222 213 2.38      
27 A" 149 143 1.15      

Unscaled Zero Point Vibrational Energy (zpe) 21052.5 cm-1
Scaled (by 0.9599) Zero Point Vibrational Energy (zpe) 20208.2 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/3-21G*
ABC
1.26184 0.13374 0.12371

See section I.F.4 to change rotational constant units
Geometric Data calculated at HSEh1PBE/3-21G*

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 1.368 -1.405 0.000
C2 0.153 -0.743 0.000
C3 0.000 0.634 0.000
C4 -1.327 1.327 0.000
H5 2.303 -0.853 0.000
H6 1.424 -2.487 0.000
H7 -0.756 -1.346 0.000
H8 0.892 1.259 0.000
H9 -2.150 0.604 0.000
H10 -1.438 1.973 0.883
H11 -1.438 1.973 -0.883

Atom - Atom Distances (Å)
  C1 C2 C3 C4 H5 H6 H7 H8 H9 H10 H11
C11.38352.45473.83701.08581.08372.12482.70554.05064.47904.4790
C21.38351.38562.54472.15382.15781.09012.13432.66753.26953.2695
C32.45471.38561.49692.74183.43012.11891.08892.14972.15452.1545
C43.83702.54471.49694.23474.70242.73312.21921.09541.09961.0996
H51.08582.15382.74184.23471.85503.09892.54064.68554.77174.7717
H61.08372.15783.43014.70241.85502.46083.78324.72505.37245.3724
H72.12481.09012.11892.73313.09892.46083.08192.39663.50133.5013
H82.70552.13431.08892.21922.54063.78323.08193.11082.59182.5918
H94.05062.66752.14971.09544.68554.72502.39663.11081.77751.7775
H104.47903.26952.15451.09964.77175.37243.50132.59181.77751.7658
H114.47903.26952.15451.09964.77175.37243.50132.59181.77751.7658

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 124.862 C1 C2 H7 117.919
C2 C1 H5 120.959 C2 C1 H6 121.518
C2 C3 C4 123.917 C2 C3 H8 118.713
C3 C2 H7 117.220 C3 C4 H9 111.101
C3 C4 H10 111.226 C3 C4 H11 111.226
C4 C3 H8 117.370 H5 C1 H6 117.523
H9 C4 H10 108.148 H9 C4 H11 108.148
H10 C4 H11 106.817
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HSEh1PBE/3-21G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.413      
2 C -0.240      
3 C -0.182      
4 C -0.679      
5 H 0.205      
6 H 0.210      
7 H 0.210      
8 H 0.208      
9 H 0.222      
10 H 0.230      
11 H 0.230      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -0.302 0.352 0.000 0.463
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -23.926 -0.010 0.000
y -0.010 -23.565 0.000
z 0.000 0.000 -28.480
Traceless
 xyz
x 2.096 -0.010 0.000
y -0.010 2.639 0.000
z 0.000 0.000 -4.735
Polar
3z2-r2-9.469
x2-y2-0.362
xy-0.010
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 7.055 -1.998 0.000
y -1.998 8.075 0.000
z 0.000 0.000 2.829


<r2> (average value of r2) Å2
<r2> 103.349
(<r2>)1/2 10.166