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

using model chemistry: B3PW91/6-31+G**

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C1 2A'
Energy calculated at B3PW91/6-31+G**
 hartrees
Energy at 0K-157.746606
Energy at 298.15K-157.755291
Nuclear repulsion energy126.302630
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 B3PW91/6-31+G**
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 3158 3032 19.75      
2 A 3125 3001 52.00      
3 A 3123 2999 48.71      
4 A 3043 2922 21.33      
5 A 2931 2814 30.68      
6 A 1512 1451 10.77      
7 A 1502 1442 8.11      
8 A 1469 1410 3.37      
9 A 1411 1355 5.54      
10 A 1317 1265 4.13      
11 A 1205 1157 0.91      
12 A 1087 1043 1.06      
13 A 990 951 1.30      
14 A 822 790 0.06      
15 A 536 515 39.24      
16 A 409 393 17.16      
17 A 358 343 0.67      
18 A 262 251 0.18      
19 A 3263 3133 15.96      
20 A 3123 2999 18.31      
21 A 3120 2996 3.71      
22 A 3040 2918 43.42      
23 A 1491 1431 3.92      
24 A 1488 1428 0.22      
25 A 1396 1340 7.08      
26 A 1325 1272 0.75      
27 A 1185 1138 0.56      
28 A 972 933 0.00      
29 A 942 905 0.87      
30 A 907 871 0.68      
31 A 373 358 0.23      
32 A 235 226 0.01      
33 A 122 117 0.14      

Unscaled Zero Point Vibrational Energy (zpe) 25620.4 cm-1
Scaled (by 0.9601) Zero Point Vibrational Energy (zpe) 24598.1 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 B3PW91/6-31+G**
ABC
0.28122 0.26388 0.15413

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

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.354 0.000
C2 1.477 0.143 0.000
H3 -0.188 1.445 0.000
H4 2.040 0.137 0.930
H5 2.040 0.137 -0.930
C6 -0.653 -0.212 -1.268
C7 -0.653 -0.212 1.268
H8 -0.527 -1.300 -1.316
H9 -1.727 0.006 -1.288
H10 -0.206 0.218 -2.171
H11 -0.527 -1.300 1.316
H12 -1.727 0.006 1.288
H13 -0.206 0.218 2.171

Atom - Atom Distances (Å)
  C1 C2 H3 H4 H5 C6 C7 H8 H9 H10 H11 H12 H13
C11.49221.10752.25202.25201.53431.53432.17782.18222.18462.17782.18222.1846
C21.49222.11431.08661.08662.50432.50432.79783.45592.74762.79783.45592.7476
H31.10752.11432.74582.74582.13772.13773.06272.46952.49363.06272.46952.4936
H42.25201.08662.74581.85923.49312.73633.70044.37283.82882.96643.78562.5667
H52.25201.08662.74581.85922.73633.49312.96643.78562.56673.70044.37283.8288
C61.53432.50432.13773.49312.73632.53581.09611.09551.09552.80632.78113.4941
C71.53432.50432.13772.73633.49312.53582.80632.78113.49411.09611.09551.0955
H82.17782.79783.06273.70042.96641.09612.80631.77321.77122.63193.15063.8161
H92.18223.45592.46954.37283.78561.09552.78111.77321.77113.15062.57683.7847
H102.18462.74762.49363.82882.56671.09553.49411.77121.77113.81613.78474.3413
H112.17782.79783.06272.96643.70042.80631.09612.63193.15063.81611.77321.7712
H122.18223.45592.46953.78564.37282.78111.09553.15062.57683.78471.77321.7711
H132.18462.74762.49362.56673.82883.49411.09553.81613.78474.34131.77121.7711

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 120.878 C1 C2 H5 120.878
C1 C6 H8 110.669 C1 C6 H9 111.060
C1 C6 H10 111.249 C1 C7 H11 110.669
C1 C7 H12 111.060 C1 C7 H13 111.249
C2 C1 H3 107.918 C2 C1 C6 111.668
C2 C1 C7 111.668 H3 C1 C6 106.915
H3 C1 C7 106.915 H4 C2 H5 117.644
C6 C1 C7 111.456 H8 C6 H9 108.013
H8 C6 H10 107.834 H9 C6 H10 107.876
H11 C7 H12 108.013 H11 C7 H13 107.834
H12 C7 H13 107.876
Electronic energy levels

Electronic state

Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3PW91/6-31+G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.240      
2 C -0.442      
3 H 0.165      
4 H 0.148      
5 H 0.148      
6 C -0.610      
7 C -0.610      
8 H 0.165      
9 H 0.157      
10 H 0.158      
11 H 0.165      
12 H 0.157      
13 H 0.158      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -0.244 0.243 0.000 0.345
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -28.013 -0.020 0.000
y -0.020 -28.612 0.000
z 0.000 0.000 -27.464
Traceless
 xyz
x 0.026 -0.020 0.000
y -0.020 -0.874 0.000
z 0.000 0.000 0.848
Polar
3z2-r21.697
x2-y20.600
xy-0.020
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> 94.914
(<r2>)1/2 9.742