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All results from a given calculation for CH2CH(CH3)2 (Isobutyl 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 2A'
Energy calculated at B3PW91/3-21G*
 hartrees
Energy at 0K-156.877212
Energy at 298.15K-156.885932
Nuclear repulsion energy126.031731
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 3149 3021 16.85      
2 A 3130 3003 48.05      
3 A 3125 2998 35.13      
4 A 3051 2927 13.44      
5 A 2955 2835 22.30      
6 A 1569 1505 13.03      
7 A 1561 1498 7.99      
8 A 1495 1435 1.62      
9 A 1451 1392 7.50      
10 A 1340 1285 2.94      
11 A 1227 1177 3.70      
12 A 1124 1078 2.92      
13 A 990 950 2.69      
14 A 818 784 0.17      
15 A 516 495 30.85      
16 A 408 391 21.98      
17 A 366 351 0.64      
18 A 270 259 0.13      
19 A 3256 3124 15.96      
20 A 3125 2998 2.78      
21 A 3122 2995 15.19      
22 A 3047 2923 30.37      
23 A 1548 1486 4.09      
24 A 1548 1485 0.62      
25 A 1438 1380 12.23      
26 A 1350 1295 0.90      
27 A 1196 1148 1.21      
28 A 990 950 0.05      
29 A 976 937 2.23      
30 A 926 888 1.65      
31 A 382 366 0.01      
32 A 244 234 0.01      
33 A 111 107 0.16      

Unscaled Zero Point Vibrational Energy (zpe) 25899.6 cm-1
Scaled (by 0.9594) Zero Point Vibrational Energy (zpe) 24848.1 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 B3PW91/3-21G*
ABC
0.27940 0.26329 0.15418

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

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.374 0.000
C2 1.479 0.138 0.000
H3 -0.195 1.464 0.000
H4 2.037 0.129 0.932
H5 2.037 0.129 -0.932
C6 -0.655 -0.216 -1.268
C7 -0.655 -0.216 1.268
H8 -0.509 -1.303 -1.289
H9 -1.731 -0.006 -1.280
H10 -0.208 0.211 -2.174
H11 -0.509 -1.303 1.289
H12 -1.731 -0.006 1.280
H13 -0.208 0.211 2.174

Atom - Atom Distances (Å)
  C1 C2 H3 H4 H5 C6 C7 H8 H9 H10 H11 H12 H13
C11.49821.10742.25402.25401.54461.54462.17612.18642.18962.17612.18642.1896
C21.49822.13621.08661.08662.50772.50772.77363.45932.75252.77363.45932.7525
H31.10742.13622.76312.76312.15532.15533.06932.48232.50903.06932.48232.5090
H42.25401.08662.76311.86473.49422.73513.67054.37213.83332.94383.78702.5666
H52.25401.08662.76311.86472.73513.49422.94383.78702.56663.67054.37213.8333
C61.54462.50772.15533.49422.73512.53601.09671.09671.09702.78202.77393.4968
C71.54462.50772.15532.73513.49422.53602.78202.77393.49681.09671.09671.0970
H82.17612.77363.06933.67052.94381.09672.78201.78201.77992.57773.12643.7913
H92.18643.45932.48234.37213.78701.09672.77391.78201.77973.12642.56003.7810
H102.18962.75252.50903.83332.56661.09703.49681.77991.77973.79133.78104.3473
H112.17612.77363.06932.94383.67052.78201.09672.57773.12643.79131.78201.7799
H122.18643.45932.48233.78704.37212.77391.09673.12642.56003.78101.78201.7797
H132.18962.75252.50902.56663.83333.49681.09703.79133.78104.34731.77991.7797

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 120.549 C1 C2 H5 120.549
C1 C6 H8 109.781 C1 C6 H9 110.593
C1 C6 H10 110.833 C1 C7 H11 109.781
C1 C7 H12 110.593 C1 C7 H13 110.833
C2 C1 H3 109.224 C2 C1 C6 110.992
C2 C1 C7 110.992 H3 C1 C6 107.577
H3 C1 C7 107.577 H4 C2 H5 118.194
C6 C1 C7 110.351 H8 C6 H9 108.667
H8 C6 H10 108.462 H9 C6 H10 108.442
H11 C7 H12 108.667 H11 C7 H13 108.462
H12 C7 H13 108.442
Electronic energy levels

Electronic state

Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3PW91/3-21G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.351      
2 C -0.348      
3 H 0.229      
4 H 0.197      
5 H 0.197      
6 C -0.585      
7 C -0.585      
8 H 0.211      
9 H 0.206      
10 H 0.206      
11 H 0.211      
12 H 0.206      
13 H 0.206      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -0.132 0.152 0.000 0.201
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -27.106 -0.065 0.000
y -0.065 -28.037 0.000
z 0.000 0.000 -26.867
Traceless
 xyz
x 0.346 -0.065 0.000
y -0.065 -1.051 0.000
z 0.000 0.000 0.705
Polar
3z2-r21.410
x2-y20.931
xy-0.065
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> 94.554
(<r2>)1/2 9.724