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

using model chemistry: B3PW91/6-31G*

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C1 2A'
Energy calculated at B3PW91/6-31G*
 hartrees
Energy at 0K-157.729393
Energy at 298.15K-157.738055
Nuclear repulsion energy126.302603
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 B3PW91/6-31G*
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 3168 3031 19.00      
2 A 3131 2996 59.88      
3 A 3129 2994 45.47      
4 A 3053 2921 18.32      
5 A 2933 2806 35.15      
6 A 1537 1470 7.96      
7 A 1527 1461 5.82      
8 A 1487 1422 1.41      
9 A 1433 1371 3.24      
10 A 1335 1277 4.46      
11 A 1218 1165 1.10      
12 A 1101 1054 1.47      
13 A 998 954 1.76      
14 A 827 792 0.06      
15 A 516 494 24.03      
16 A 401 384 17.23      
17 A 356 341 0.76      
18 A 263 252 0.11      
19 A 3268 3127 18.83      
20 A 3128 2992 17.74      
21 A 3126 2991 4.55      
22 A 3049 2917 37.84      
23 A 1516 1451 2.47      
24 A 1514 1448 0.38      
25 A 1418 1356 4.59      
26 A 1344 1286 1.18      
27 A 1195 1143 0.31      
28 A 980 938 0.02      
29 A 951 910 0.98      
30 A 915 875 0.84      
31 A 371 355 0.10      
32 A 237 227 0.00      
33 A 125 119 0.19      

Unscaled Zero Point Vibrational Energy (zpe) 25775.0 cm-1
Scaled (by 0.9567) Zero Point Vibrational Energy (zpe) 24658.9 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 B3PW91/6-31G*
ABC
0.28120 0.26406 0.15426

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3PW91/6-31G*

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.356 0.000
C2 1.477 0.140 0.000
H3 -0.191 1.447 0.000
H4 2.040 0.141 0.929
H5 2.040 0.141 -0.929
C6 -0.653 -0.212 -1.267
C7 -0.653 -0.212 1.267
H8 -0.526 -1.300 -1.314
H9 -1.727 0.005 -1.288
H10 -0.205 0.217 -2.171
H11 -0.526 -1.300 1.314
H12 -1.727 0.005 1.288
H13 -0.205 0.217 2.171

Atom - Atom Distances (Å)
  C1 C2 H3 H4 H5 C6 C7 H8 H9 H10 H11 H12 H13
C11.49261.10802.25222.25221.53411.53412.17852.18302.18492.17852.18302.1849
C21.49262.11941.08671.08672.50282.50282.79503.45592.74722.79503.45592.7472
H31.10802.11942.74742.74742.13782.13783.06382.46932.49523.06382.46932.4952
H42.25221.08672.74741.85833.49302.73733.70104.37383.82852.96883.78712.5670
H52.25221.08672.74741.85832.73733.49302.96883.78712.56703.70104.37383.8285
C61.53412.50282.13783.49302.73732.53381.09671.09621.09632.80392.78043.4933
C71.53412.50282.13782.73733.49302.53382.80392.78043.49331.09671.09621.0963
H82.17852.79503.06383.70102.96881.09672.80391.77421.77192.62823.14963.8145
H92.18303.45592.46934.37383.78711.09622.78041.77421.77233.14962.57673.7853
H102.18492.74722.49523.82852.56701.09633.49331.77191.77233.81453.78534.3418
H112.17852.79503.06382.96883.70102.80391.09672.62823.14963.81451.77421.7719
H122.18303.45592.46933.78714.37382.78041.09623.14962.57673.78531.77421.7723
H132.18492.74722.49522.56703.82853.49331.09633.81453.78534.34181.77191.7723

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 120.858 C1 C2 H5 120.858
C1 C6 H8 110.705 C1 C6 H9 111.094
C1 C6 H10 111.242 C1 C7 H11 110.705
C1 C7 H12 111.094 C1 C7 H13 111.242
C2 C1 H3 108.260 C2 C1 C6 111.564
C2 C1 C7 111.564 H3 C1 C6 106.917
H3 C1 C7 106.917 H4 C2 H5 117.523
C6 C1 C7 111.346 H8 C6 H9 108.003
H8 C6 H10 107.795 H9 C6 H10 107.860
H11 C7 H12 108.003 H11 C7 H13 107.795
H12 C7 H13 107.860
Electronic energy levels

Electronic state

Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3PW91/6-31G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.127     0.546
2 C -0.340     -0.536
3 H 0.166     -0.047
4 H 0.159     0.161
5 H 0.159     0.161
6 C -0.505     -0.466
7 C -0.505     -0.466
8 H 0.168     0.117
9 H 0.163     0.100
10 H 0.165     0.105
11 H 0.168     0.117
12 H 0.163     0.100
13 H 0.165     0.105


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -0.145 0.188 0.000 0.238
CHELPG        
AIM        
ESP -0.133 0.171 0.000 0.217


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -27.156 -0.042 0.000
y -0.042 -27.775 0.000
z 0.000 0.000 -26.862
Traceless
 xyz
x 0.163 -0.042 0.000
y -0.042 -0.766 0.000
z 0.000 0.000 0.603
Polar
3z2-r21.206
x2-y20.619
xy-0.042
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> 94.406
(<r2>)1/2 9.716