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All results from a given calculation for CH2CH(CH3)2 (Isobutyl radical)

using model chemistry: mPW1PW91/6-31G**

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C1 2A'
Energy calculated at mPW1PW91/6-31G**
 hartrees
Energy at 0K-157.757651
Energy at 298.15K-157.766362
Nuclear repulsion energy126.571776
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 mPW1PW91/6-31G**
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 3178 3024 17.67      
2 A 3151 2998 50.26      
3 A 3149 2996 45.78      
4 A 3066 2917 17.61      
5 A 2957 2814 32.26      
6 A 1529 1454 7.28      
7 A 1518 1445 5.60      
8 A 1483 1411 1.86      
9 A 1426 1357 3.63      
10 A 1334 1270 4.09      
11 A 1218 1159 1.02      
12 A 1099 1045 1.56      
13 A 1001 952 1.86      
14 A 832 792 0.08      
15 A 522 497 23.85      
16 A 404 385 14.88      
17 A 358 341 0.58      
18 A 265 252 0.10      
19 A 3285 3126 16.34      
20 A 3148 2995 15.68      
21 A 3146 2993 5.06      
22 A 3062 2914 35.39      
23 A 1507 1434 2.38      
24 A 1504 1431 0.35      
25 A 1411 1343 5.17      
26 A 1343 1278 0.89      
27 A 1198 1140 0.29      
28 A 982 935 0.02      
29 A 950 904 0.96      
30 A 915 870 0.91      
31 A 372 354 0.10      
32 A 239 228 0.00      
33 A 132 125 0.18      

Unscaled Zero Point Vibrational Energy (zpe) 25841.7 cm-1
Scaled (by 0.9515) Zero Point Vibrational Energy (zpe) 24588.3 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 mPW1PW91/6-31G**
ABC
0.28233 0.26523 0.15493

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/6-31G**

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.355 0.000
C2 1.474 0.136 0.000
H3 -0.186 1.445 0.000
H4 2.036 0.137 0.928
H5 2.036 0.137 -0.928
C6 -0.652 -0.210 -1.264
C7 -0.652 -0.210 1.264
H8 -0.525 -1.296 -1.311
H9 -1.724 0.006 -1.285
H10 -0.205 0.217 -2.166
H11 -0.525 -1.296 1.311
H12 -1.724 0.006 1.285
H13 -0.205 0.217 2.166

Atom - Atom Distances (Å)
  C1 C2 H3 H4 H5 C6 C7 H8 H9 H10 H11 H12 H13
C11.49051.10552.24802.24801.53071.53072.17292.17832.17982.17292.17832.1798
C21.49052.11431.08461.08462.49782.49782.78693.44912.74172.78693.44912.7417
H31.10552.11432.74032.74032.13442.13443.05732.46722.48953.05732.46722.4895
H42.24801.08462.74031.85563.48572.73113.69104.36463.82082.95963.77892.5614
H52.24801.08462.74031.85562.73113.48572.95963.77892.56143.69104.36463.8208
C61.53072.49782.13443.48572.73112.52811.09411.09351.09362.79722.77383.4851
C71.53072.49782.13442.73113.48572.52812.79722.77383.48511.09411.09351.0936
H82.17292.78693.05733.69102.95961.09412.79721.77001.76762.62143.14183.8051
H92.17833.44912.46724.36463.77891.09352.77381.77001.76823.14182.57043.7762
H102.17982.74172.48953.82082.56141.09363.48511.76761.76823.80513.77624.3315
H112.17292.78693.05732.95963.69102.79721.09412.62143.14183.80511.77001.7676
H122.17833.44912.46723.77894.36462.77381.09353.14182.57043.77621.77001.7682
H132.17982.74172.48952.56143.82083.48511.09363.80513.77624.33151.76761.7682

picture of Isobutyl radical state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 H4 120.805 C1 C2 H5 120.805
C1 C6 H8 110.646 C1 C6 H9 111.119
C1 C6 H10 111.233 C1 C7 H11 110.646
C1 C7 H12 111.119 C1 C7 H13 111.233
C2 C1 H3 108.151 C2 C1 C6 111.530
C2 C1 C7 111.530 H3 C1 C6 107.016
H3 C1 C7 107.016 H4 C2 H5 117.624
C6 C1 C7 111.335 H8 C6 H9 108.016
H8 C6 H10 107.797 H9 C6 H10 107.891
H11 C7 H12 108.016 H11 C7 H13 107.797
H12 C7 H13 107.891
Electronic energy levels

Electronic state

Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/6-31G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.130      
2 C -0.256      
3 H 0.136      
4 H 0.122      
5 H 0.122      
6 C -0.385      
7 C -0.385      
8 H 0.133      
9 H 0.127      
10 H 0.128      
11 H 0.133      
12 H 0.127      
13 H 0.128      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -0.147 0.178 0.000 0.231
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -27.138 -0.037 0.000
y -0.037 -27.748 0.000
z 0.000 0.000 -26.816
Traceless
 xyz
x 0.145 -0.037 0.000
y -0.037 -0.771 0.000
z 0.000 0.000 0.626
Polar
3z2-r21.253
x2-y20.610
xy-0.037
xz0.000
yz0.000


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> 94.052
(<r2>)1/2 9.698