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All results from a given calculation for C5H11 (2-Methylbut-2-yl radical)

using model chemistry: wB97X-D/6-31G*

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C1 1A
Energy calculated at wB97X-D/6-31G*
 hartrees
Energy at 0K-197.046627
Energy at 298.15K-197.057302
HF Energy-197.046627
Nuclear repulsion energy 
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/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 3152 2990 41.73      
2 A 3148 2986 43.02      
3 A 3133 2971 36.43      
4 A 3127 2966 24.06      
5 A 3096 2936 18.45      
6 A 3084 2925 33.89      
7 A 3079 2920 24.52      
8 A 3070 2912 29.67      
9 A 3007 2852 52.92      
10 A 2992 2838 44.15      
11 A 2984 2831 38.50      
12 A 1547 1467 4.22      
13 A 1535 1456 3.37      
14 A 1531 1452 6.71      
15 A 1528 1449 2.82      
16 A 1517 1439 9.53      
17 A 1514 1436 3.57      
18 A 1507 1429 1.91      
19 A 1452 1377 1.19      
20 A 1443 1369 3.69      
21 A 1435 1361 4.64      
22 A 1392 1320 0.36      
23 A 1354 1285 1.87      
24 A 1309 1241 7.74      
25 A 1273 1208 1.76      
26 A 1100 1044 2.44      
27 A 1076 1021 3.78      
28 A 1047 993 2.46      
29 A 1031 978 1.00      
30 A 999 948 1.30      
31 A 960 910 0.70      
32 A 953 904 0.43      
33 A 803 762 2.47      
34 A 752 713 1.06      
35 A 432 409 1.21      
36 A 390 370 0.10      
37 A 347 329 1.30      
38 A 223 212 0.09      
39 A 193 183 1.56      
40 A 139 131 0.01      
41 A 93 89 0.04      
42 A 55 52 0.14      

Unscaled Zero Point Vibrational Energy (zpe) 32399.4 cm-1
Scaled (by 0.9485) Zero Point Vibrational Energy (zpe) 30730.8 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/6-31G*
ABC
0.22841 0.11446 0.08739

See section I.F.4 to change rotational constant units
Geometric Data calculated at wB97X-D/6-31G*

Point Group is C1

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 -0.874 1.437 0.012
H2 -0.004 2.096 -0.089
H3 -1.577 1.679 -0.795
H4 -1.374 1.713 0.957
C5 2.027 -0.040 -0.360
H6 2.058 1.038 -0.551
H7 2.982 -0.325 0.095
H8 1.942 -0.547 -1.326
C9 0.848 -0.410 0.556
H10 0.867 -1.491 0.740
H11 1.008 0.070 1.536
C12 -0.489 -0.009 -0.000
C13 -1.565 -1.031 -0.188
H14 -1.153 -2.006 -0.472
H15 -2.147 -1.189 0.738
H16 -2.284 -0.726 -0.958

Atom - Atom Distances (Å)
  C1 H2 H3 H4 C5 H6 H7 H8 C9 H10 H11 C12 C13 H14 H15 H16
C11.09621.09731.10433.27693.01244.24083.69562.58273.48382.78001.49662.57103.48883.00702.7584
H21.09621.77361.76592.96012.36333.84903.50772.72413.78352.78662.16243.49674.27784.00833.7307
H31.09731.77361.76434.01673.69905.05914.19753.47364.28733.83382.15982.77793.72423.30172.5125
H41.10431.76591.76434.04713.80944.88654.61733.09933.91672.95062.16032.98003.99133.01133.2323
C53.27692.96014.01674.04711.09531.09551.09481.53842.15902.15512.54253.73043.74114.46664.4064
H63.01242.36333.69903.80941.09531.76931.76862.18793.07932.52862.80914.18824.42604.93004.7045
H74.24083.84905.05914.88651.09551.76931.77512.18542.49942.47613.48734.61014.49985.24095.3853
H83.69563.50774.19754.61731.09481.76861.77512.18112.51283.07302.82113.71843.52674.62504.2455
C92.58272.72413.47363.09931.53842.18792.18542.18111.09701.10291.50242.59962.75843.09963.4925
H103.48383.78354.28733.91672.15903.07932.49942.51281.09701.75812.14132.64332.41193.02953.6605
H112.78002.78663.83382.95062.15512.52862.47613.07301.10291.75812.14623.28633.60743.48904.2055
C121.49662.16242.15982.16032.54252.80913.48732.82111.50242.14132.14621.49542.15702.16422.1567
C132.57103.49672.77792.98003.73044.18824.61013.71842.59962.64333.28631.49541.09621.10471.0973
H143.48884.27783.72423.99133.74114.42604.49983.52672.75842.41193.60742.15701.09621.76671.7761
H153.00704.00833.30173.01134.46664.93005.24094.62503.09963.02953.48902.16421.10471.76671.7634
H162.75843.73072.51253.23234.40644.70455.38534.24553.49253.66054.20552.15671.09731.77611.7634

picture of 2-Methylbut-2-yl radical state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C12 C9 118.901 C1 C12 C13 118.477
H2 C1 H3 107.917 H2 C1 H4 106.741
H2 C1 C12 112.101 H3 C1 H4 106.524
H3 C1 C12 111.820 H4 C1 C12 111.426
C5 C9 H10 108.857 C5 C9 H11 108.223
C5 C9 C12 113.461 H6 C5 H7 107.729
H6 C5 H8 107.715 H6 C5 C9 111.232
H7 C5 H8 108.283 H7 C5 C9 111.019
H8 C5 C9 110.724 C9 C12 C13 120.265
H10 C9 H11 106.098 H10 C9 C12 109.942
H11 C9 C12 109.980 C12 C13 H14 111.751
C12 C13 H15 111.809 C12 C13 H16 111.659
H14 C13 H15 106.779 H14 C13 H16 108.138
H15 C13 H16 106.411
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at wB97X-D/6-31G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.538      
2 H 0.166      
3 H 0.166      
4 H 0.164      
5 C -0.489      
6 H 0.160      
7 H 0.160      
8 H 0.165      
9 C -0.342      
10 H 0.156      
11 H 0.156      
12 C 0.118      
13 C -0.539      
14 H 0.167      
15 H 0.164      
16 H 0.165      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -0.081 -0.015 0.168 0.187
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -33.653 -0.102 0.322
y -0.102 -33.346 0.079
z 0.322 0.079 -34.091
Traceless
 xyz
x 0.065 -0.102 0.322
y -0.102 0.526 0.079
z 0.322 0.079 -0.591
Polar
3z2-r2-1.182
x2-y2-0.307
xy-0.102
xz0.322
yz0.079


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 8.868 -0.025 0.159
y -0.025 8.038 0.025
z 0.159 0.025 6.862


<r2> (average value of r2) Å2
<r2> 155.381
(<r2>)1/2 12.465