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

using model chemistry: wB97X-D/3-21G*

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/3-21G*
 hartrees
Energy at 0K-195.980679
Energy at 298.15K-195.991404
HF Energy-195.980679
Nuclear repulsion energy181.146628
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/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 3164 2999 31.65      
2 A 3157 2993 32.56      
3 A 3145 2981 27.59      
4 A 3139 2975 16.69      
5 A 3116 2953 8.64      
6 A 3098 2937 24.69      
7 A 3092 2931 17.54      
8 A 3083 2922 21.56      
9 A 3029 2871 32.64      
10 A 3009 2852 32.03      
11 A 3002 2846 25.87      
12 A 1576 1494 7.40      
13 A 1572 1490 9.55      
14 A 1565 1483 9.99      
15 A 1560 1479 4.02      
16 A 1553 1472 14.59      
17 A 1546 1465 4.35      
18 A 1542 1462 1.80      
19 A 1477 1400 2.52      
20 A 1465 1389 14.43      
21 A 1455 1379 11.17      
22 A 1396 1323 3.69      
23 A 1360 1289 1.74      
24 A 1318 1249 9.81      
25 A 1275 1209 3.00      
26 A 1123 1064 6.24      
27 A 1089 1032 7.72      
28 A 1060 1005 3.49      
29 A 1033 979 1.60      
30 A 1021 967 1.93      
31 A 986 935 0.53      
32 A 945 896 0.06      
33 A 819 776 4.68      
34 A 735 697 1.22      
35 A 442 419 1.70      
36 A 388 368 0.01      
37 A 346 328 1.60      
38 A 234 222 0.16      
39 A 188 179 2.86      
40 A 127 121 0.01      
41 A 110 104 0.09      
42 A 45 43 0.35      

Unscaled Zero Point Vibrational Energy (zpe) 32692.9 cm-1
Scaled (by 0.9478) Zero Point Vibrational Energy (zpe) 30986.4 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/3-21G*
ABC
0.22781 0.11414 0.08722

See section I.F.4 to change rotational constant units
Geometric Data calculated at wB97X-D/3-21G*

Point Group is C1

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 -0.857 1.444 0.017
H2 0.024 2.088 -0.085
H3 -1.557 1.691 -0.792
H4 -1.352 1.716 0.966
C5 2.024 -0.044 -0.365
H6 2.044 1.037 -0.544
H7 2.982 -0.332 0.083
H8 1.924 -0.547 -1.332
C9 0.846 -0.424 0.563
H10 0.861 -1.507 0.734
H11 1.005 0.056 1.543
C12 -0.487 -0.010 -0.002
C13 -1.578 -1.022 -0.190
H14 -1.173 -2.001 -0.472
H15 -2.162 -1.163 0.737
H16 -2.286 -0.705 -0.967

Atom - Atom Distances (Å)
  C1 H2 H3 H4 C5 H6 H7 H8 C9 H10 H11 C12 C13 H14 H15 H16
C11.09621.09731.10433.26532.98304.23073.67662.58673.48972.77961.50062.57793.49423.00352.7615
H21.09621.77681.77122.93632.32293.82533.47912.72133.78112.78262.16083.50014.27834.00323.7299
H31.09731.77681.76984.00223.66855.04584.17353.47644.29003.83272.15912.77923.72603.29412.5104
H41.10431.77121.76984.03293.77814.87394.59663.09403.91632.94002.15912.98053.98912.99963.2349
C53.26532.93634.00224.03291.09521.09561.09441.54682.16862.16512.53773.73693.75064.47124.4018
H62.98302.32293.66853.77811.09521.77381.77242.18933.08312.52932.79224.18134.42554.91644.6861
H74.23073.82535.04584.87391.09561.77381.77892.19062.51062.48803.48494.61974.51175.25125.3839
H83.67663.47914.17354.59661.09441.77241.77892.18302.51383.07732.80553.71403.52834.62114.2288
C92.58672.72133.47643.09401.54682.18932.19062.18301.09691.10261.50632.60822.76343.10273.4969
H103.48973.78114.29003.91632.16863.08312.51062.51381.09691.76592.14502.65282.41543.04223.6656
H112.77962.78263.83272.94002.16512.52932.48803.07731.10261.76592.14883.29213.61023.48794.2077
C121.50062.16082.15912.15912.53772.79223.48492.80551.50632.14502.14881.50002.15792.16362.1560
C132.57793.50012.77922.98053.73694.18134.61973.71402.60822.65283.29211.50001.09621.10471.0974
H143.49424.27833.72603.98913.75064.42554.51173.52832.76342.41543.61022.15791.09621.77191.7786
H153.00354.00323.29412.99964.47124.91645.25124.62113.10273.04223.48792.16361.10471.77191.7684
H162.76153.72992.51043.23494.40184.68615.38394.22883.49693.66564.20772.15601.09741.77861.7684

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 118.691 C1 C12 C13 118.434
H2 C1 H3 108.198 H2 C1 H4 107.205
H2 C1 C12 111.688 H3 C1 H4 106.995
H3 C1 C12 111.479 H4 C1 C12 111.051
C5 C9 H10 109.045 C5 C9 H11 108.454
C5 C9 C12 112.441 H6 C5 H7 108.120
H6 C5 H8 108.079 H6 C5 C9 110.763
H7 C5 H8 108.636 H7 C5 C9 110.843
H8 C5 C9 110.311 C9 C12 C13 120.358
H10 C9 H11 106.810 H10 C9 C12 109.973
H11 C9 C12 109.946 C12 C13 H14 111.492
C12 C13 H15 111.425 C12 C13 H16 111.264
H14 C13 H15 107.240 H14 C13 H16 108.359
H15 C13 H16 106.843
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at wB97X-D/3-21G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.646      
2 H 0.213      
3 H 0.212      
4 H 0.210      
5 C -0.596      
6 H 0.205      
7 H 0.203      
8 H 0.211      
9 C -0.475      
10 H 0.211      
11 H 0.211      
12 C 0.056      
13 C -0.646      
14 H 0.212      
15 H 0.210      
16 H 0.211      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -0.116 -0.003 0.217 0.246
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -33.490 -0.061 0.350
y -0.061 -33.214 0.065
z 0.350 0.065 -34.351
Traceless
 xyz
x 0.293 -0.061 0.350
y -0.061 0.706 0.065
z 0.350 0.065 -0.999
Polar
3z2-r2-1.998
x2-y2-0.275
xy-0.061
xz0.350
yz0.065


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 8.316 -0.026 0.166
y -0.026 7.525 0.035
z 0.166 0.035 6.396


<r2> (average value of r2) Å2
<r2> 155.542
(<r2>)1/2 12.472