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

using model chemistry: B3PW91/3-21G

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C1 1A
Energy calculated at B3PW91/3-21G
 hartrees
Energy at 0K-195.973877
Energy at 298.15K-195.984560
Nuclear repulsion energy181.025162
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 B3PW91/3-21G
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 3138 3016 32.48      
2 A 3126 3005 33.55      
3 A 3114 2993 30.95      
4 A 3109 2988 18.11      
5 A 3080 2961 10.56      
6 A 3066 2947 27.60      
7 A 3060 2941 17.76      
8 A 3055 2937 24.14      
9 A 2990 2874 36.98      
10 A 2969 2854 37.39      
11 A 2962 2847 27.03      
12 A 1563 1503 7.94      
13 A 1562 1501 7.06      
14 A 1552 1492 7.74      
15 A 1545 1485 9.55      
16 A 1540 1480 7.67      
17 A 1529 1470 3.13      
18 A 1528 1469 2.98      
19 A 1462 1405 2.69      
20 A 1447 1391 11.25      
21 A 1439 1383 8.16      
22 A 1386 1332 3.15      
23 A 1341 1289 1.69      
24 A 1302 1252 9.75      
25 A 1262 1213 3.61      
26 A 1115 1072 4.73      
27 A 1079 1037 8.29      
28 A 1046 1005 3.33      
29 A 1026 986 1.87      
30 A 1009 970 1.95      
31 A 974 937 0.52      
32 A 939 903 0.10      
33 A 801 770 4.65      
34 A 730 702 1.31      
35 A 437 420 1.75      
36 A 375 360 0.03      
37 A 337 324 1.57      
38 A 236 227 0.40      
39 A 193 185 2.37      
40 A 129 124 0.01      
41 A 112 107 0.14      
42 A 36 34 0.24      

Unscaled Zero Point Vibrational Energy (zpe) 32348.8 cm-1
Scaled (by 0.9612) Zero Point Vibrational Energy (zpe) 31093.6 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 B3PW91/3-21G
ABC
0.23069 0.11351 0.08659

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3PW91/3-21G

Point Group is C1

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 -0.822 1.453 0.032
H2 0.069 2.078 -0.103
H3 -1.553 1.726 -0.741
H4 -1.266 1.722 1.009
C5 2.036 -0.043 -0.346
H6 2.069 1.048 -0.453
H7 2.983 -0.371 0.101
H8 1.948 -0.483 -1.346
C9 0.836 -0.471 0.534
H10 0.836 -1.565 0.628
H11 0.982 -0.061 1.549
C12 -0.487 -0.011 -0.026
C13 -1.615 -0.988 -0.188
H14 -1.248 -1.977 -0.488
H15 -2.178 -1.119 0.756
H16 -2.334 -0.641 -0.942

Atom - Atom Distances (Å)
  C1 H2 H3 H4 C5 H6 H7 H8 C9 H10 H11 C12 C13 H14 H15 H16
C11.09701.09831.10643.24752.95894.21923.64872.58813.49422.80081.50202.57543.49522.99612.7608
H21.09701.77851.77342.90302.27693.81163.41082.73723.79442.85252.16303.49944.28174.00143.7256
H31.09831.77851.77284.02063.69615.06704.18313.48624.29063.85472.15912.76983.72423.27452.5007
H41.10641.77341.77283.98163.70314.82204.55313.07403.92002.91922.16292.98243.99042.99433.2454
C53.24752.90304.02063.98161.09601.09691.09551.54922.16962.16872.54353.77513.81424.48714.4517
H62.95892.27693.69613.70311.09601.77611.77582.19143.08462.53342.79894.21744.48934.91884.7416
H74.21923.81165.06704.82201.09691.77611.78222.19242.51182.48873.49014.64774.56315.25535.4251
H83.64873.41084.18314.55311.09551.77581.78222.18392.51043.08042.80923.78033.63084.67384.3042
C92.58812.73723.48623.07401.54922.19142.19242.18391.09811.10471.50782.60632.76623.09043.5008
H103.49423.79444.29063.92002.16963.08462.51182.51041.09811.76982.14342.64722.39943.04983.6568
H112.80082.85253.85472.91922.16872.53342.48873.08041.10471.76982.15403.25883.57673.42564.1883
C121.50202.16302.15912.16292.54352.79893.49012.80921.50782.14342.15401.50152.15902.16812.1568
C132.57543.49942.76982.98243.77514.21744.64773.78032.60632.64723.25881.50151.09741.10671.0985
H143.49524.28173.72423.99043.81424.48934.56313.63082.76622.39943.57672.15901.09741.77451.7812
H152.99614.00143.27452.99434.48714.91885.25534.67383.09043.04983.42562.16811.10671.77451.7711
H162.76083.72562.50073.24544.45174.74165.42514.30423.50083.65684.18832.15681.09851.78121.7711

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 118.607 C1 C12 C13 118.068
H2 C1 H3 108.217 H2 C1 H4 107.191
H2 C1 C12 111.711 H3 C1 H4 107.050
H3 C1 C12 111.319 H4 C1 C12 111.132
C5 C9 H10 108.890 C5 C9 H11 108.446
C5 C9 C12 112.607 H6 C5 H7 108.170
H6 C5 H8 108.248 H6 C5 C9 110.709
H7 C5 H8 108.753 H7 C5 C9 110.735
H8 C5 C9 110.150 C9 C12 C13 120.012
H10 C9 H11 106.924 H10 C9 C12 109.682
H11 C9 C12 110.118 C12 C13 H14 111.397
C12 C13 H15 111.567 C12 C13 H16 111.156
H14 C13 H15 107.236 H14 C13 H16 108.413
H15 C13 H16 106.861
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3PW91/3-21G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.656      
2 H 0.217      
3 H 0.214      
4 H 0.211      
5 C -0.604      
6 H 0.208      
7 H 0.204      
8 H 0.214      
9 C -0.483      
10 H 0.214      
11 H 0.214      
12 C 0.062      
13 C -0.655      
14 H 0.214      
15 H 0.212      
16 H 0.213      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -0.111 0.004 0.225 0.251
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -33.496 -0.058 0.323
y -0.058 -33.255 0.057
z 0.323 0.057 -34.419
Traceless
 xyz
x 0.341 -0.058 0.323
y -0.058 0.703 0.057
z 0.323 0.057 -1.044
Polar
3z2-r2-2.088
x2-y2-0.241
xy-0.058
xz0.323
yz0.057


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


<r2> (average value of r2) Å2
<r2> 156.012
(<r2>)1/2 12.490