return to home page Computational Chemistry Comparison and Benchmark DataBase Release 22 (May 2022) Standard Reference Database 101 National Institute of Standards and Technology
You are here: Calculated > Energy > Optimized > Energy

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

using model chemistry: B3LYP/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 B3LYP/6-31G
 hartrees
Energy at 0K-157.749433
Energy at 298.15K-157.758165
Nuclear repulsion energy125.736633
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 B3LYP/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 3154 3034 20.62      
2 A 3119 3000 73.01      
3 A 3115 2997 51.53      
4 A 3040 2924 19.93      
5 A 2905 2795 39.64      
6 A 1553 1494 9.16      
7 A 1547 1488 6.71      
8 A 1498 1441 1.11      
9 A 1456 1400 3.58      
10 A 1347 1296 4.22      
11 A 1231 1185 2.10      
12 A 1126 1083 1.65      
13 A 997 959 1.66      
14 A 819 788 0.04      
15 A 543 522 29.95      
16 A 423 407 16.24      
17 A 366 352 0.41      
18 A 258 248 0.06      
19 A 3262 3138 24.38      
20 A 3113 2994 17.92      
21 A 3112 2994 7.40      
22 A 3035 2920 41.94      
23 A 1537 1478 2.64      
24 A 1535 1476 0.97      
25 A 1443 1388 5.59      
26 A 1355 1304 1.79      
27 A 1201 1155 0.72      
28 A 990 953 0.01      
29 A 973 936 1.38      
30 A 925 890 0.68      
31 A 382 367 0.08      
32 A 233 224 0.01      
33 A 115 111 0.10      

Unscaled Zero Point Vibrational Energy (zpe) 25852.2 cm-1
Scaled (by 0.962) Zero Point Vibrational Energy (zpe) 24869.9 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 B3LYP/6-31G
ABC
0.27819 0.26118 0.15253

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/6-31G

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.359 0.000
C2 1.486 0.151 0.000
H3 -0.201 1.450 0.000
H4 2.046 0.135 0.930
H5 2.046 0.135 -0.930
C6 -0.656 -0.216 -1.275
C7 -0.656 -0.216 1.275
H8 -0.525 -1.305 -1.318
H9 -1.731 -0.001 -1.294
H10 -0.208 0.214 -2.179
H11 -0.525 -1.305 1.318
H12 -1.731 -0.001 1.294
H13 -0.208 0.214 2.179

Atom - Atom Distances (Å)
  C1 C2 H3 H4 H5 C6 C7 H8 H9 H10 H11 H12 H13
C11.50011.10972.25922.25921.54561.54562.18652.19142.19372.18652.19142.1937
C21.50012.12931.08651.08652.52002.52002.81053.47082.76052.81053.47082.7605
H31.10972.12932.76572.76572.14762.14763.07122.47452.50553.07122.47452.5055
H42.25921.08652.76571.86083.50632.74733.70674.38623.84152.97233.79762.5784
H52.25921.08652.76571.86082.74733.50632.97233.79762.57843.70674.38623.8415
C61.54562.52002.14763.50632.74732.55081.09691.09631.09662.81552.79373.5098
C71.54562.52002.14762.74733.50632.55082.81552.79373.50981.09691.09631.0966
H82.18652.81053.07123.70672.97231.09692.81551.77611.77392.63613.15873.8255
H92.19143.47082.47454.38623.79761.09632.79371.77611.77453.15872.58853.7986
H102.19372.76052.50553.84152.57841.09663.50981.77391.77453.82553.79864.3579
H112.18652.81053.07122.97233.70672.81551.09692.63613.15873.82551.77611.7739
H122.19143.47082.47453.79764.38622.79371.09633.15872.58853.79861.77611.7745
H132.19372.76052.50552.57843.84153.50981.09663.82553.79864.35791.77391.7745

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 120.883 C1 C2 H5 120.883
C1 C6 H8 110.528 C1 C6 H9 110.941
C1 C6 H10 111.113 C1 C7 H11 110.528
C1 C7 H12 110.941 C1 C7 H13 111.113
C2 C1 H3 108.423 C2 C1 C6 111.650
C2 C1 C7 111.650 H3 C1 C6 106.812
H3 C1 C7 106.812 H4 C2 H5 117.817
C6 C1 C7 111.213 H8 C6 H9 108.153
H8 C6 H10 107.949 H9 C6 H10 108.038
H11 C7 H12 108.153 H11 C7 H13 107.949
H12 C7 H13 108.038
Electronic energy levels

Electronic state

Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/6-31G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.113      
2 C -0.248      
3 H 0.135      
4 H 0.119      
5 H 0.119      
6 C -0.399      
7 C -0.399      
8 H 0.135      
9 H 0.128      
10 H 0.130      
11 H 0.135      
12 H 0.128      
13 H 0.130      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -0.159 0.163 0.000 0.228
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -27.515 -0.059 0.000
y -0.059 -28.104 0.000
z 0.000 0.000 -27.156
Traceless
 xyz
x 0.115 -0.059 0.000
y -0.059 -0.769 0.000
z 0.000 0.000 0.654
Polar
3z2-r21.307
x2-y20.589
xy-0.059
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 6.696 -0.025 0.000
y -0.025 5.180 0.000
z 0.000 0.000 6.563


<r2> (average value of r2) Å2
<r2> 95.375
(<r2>)1/2 9.766