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

using model chemistry: B3LYP/CEP-121G*

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/CEP-121G*
 hartrees
Energy at 0K-27.971571
Energy at 298.15K-27.980082
Nuclear repulsion energy72.588272
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/CEP-121G*
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 3105 3010 28.41      
2 A 3080 2986 96.03      
3 A 3077 2983 64.64      
4 A 3010 2917 24.53      
5 A 2901 2812 44.46      
6 A 1521 1474 9.19      
7 A 1512 1466 5.43      
8 A 1469 1424 1.22      
9 A 1418 1374 2.89      
10 A 1316 1276 5.03      
11 A 1194 1158 1.33      
12 A 1082 1049 0.57      
13 A 972 942 0.41      
14 A 801 777 0.00      
15 A 509 493 28.86      
16 A 395 383 18.38      
17 A 352 342 1.07      
18 A 256 248 0.14      
19 A 3208 3110 29.88      
20 A 3075 2981 34.39      
21 A 3073 2979 0.00      
22 A 3004 2912 49.95      
23 A 1501 1456 2.81      
24 A 1499 1453 0.01      
25 A 1403 1360 3.16      
26 A 1326 1285 1.37      
27 A 1171 1135 0.56      
28 A 958 929 0.00      
29 A 937 908 0.76      
30 A 900 872 0.21      
31 A 368 357 0.21      
32 A 229 222 0.01      
33 A 69 67 0.22      

Unscaled Zero Point Vibrational Energy (zpe) 25345.3 cm-1
Scaled (by 0.9694) Zero Point Vibrational Energy (zpe) 24569.8 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/CEP-121G*
ABC
0.27646 0.25935 0.15149

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/CEP-121G*

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.367 0.000
C2 1.499 0.199 0.000
H3 -0.227 1.453 0.000
H4 2.064 0.215 0.932
H5 2.064 0.215 -0.932
C6 -0.638 -0.231 -1.280
C7 -0.638 -0.231 1.280
H8 -0.474 -1.316 -1.327
H9 -1.721 -0.049 -1.302
H10 -0.203 0.214 -2.185
H11 -0.474 -1.316 1.327
H12 -1.721 -0.049 1.302
H13 -0.203 0.214 2.185

Atom - Atom Distances (Å)
  C1 C2 H3 H4 H5 C6 C7 H8 H9 H10 H11 H12 H13
C11.50841.10922.27002.27001.54971.54972.19512.19732.20002.19512.19732.2000
C21.50842.13331.09011.09012.52742.52742.81973.48182.77022.81973.48182.7702
H31.10922.13332.76622.76622.15392.15393.08012.48592.51173.08012.48592.5117
H42.27001.09012.76621.86393.52012.76043.72714.40283.85482.99063.81222.5910
H52.27001.09012.76621.86392.76043.52012.99063.81222.59103.72714.40283.8548
C61.54972.52742.15393.52012.76042.55961.09861.09841.09842.82862.80533.5204
C71.54972.52742.15392.76043.52012.55962.82862.80533.52041.09861.09841.0984
H82.19512.81973.08013.72712.99061.09862.82861.77741.77542.65443.17323.8409
H92.19733.48182.48594.40283.81221.09842.80531.77741.77553.17322.60323.8118
H102.20002.77022.51173.85482.59101.09843.52041.77541.77553.84093.81184.3704
H112.19512.81973.08012.99063.72712.82861.09862.65443.17323.84091.77741.7754
H122.19733.48182.48593.81224.40282.80531.09843.17322.60323.81181.77741.7755
H132.20002.77022.51172.59103.85483.52041.09843.84093.81184.37041.77541.7755

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 120.913 C1 C2 H5 120.913
C1 C6 H8 110.811 C1 C6 H9 111.003
C1 C6 H10 111.215 C1 C7 H11 110.811
C1 C7 H12 111.003 C1 C7 H13 111.215
C2 C1 H3 108.205 C2 C1 C6 111.471
C2 C1 C7 111.471 H3 C1 C6 107.043
H3 C1 C7 107.043 H4 C2 H5 117.503
C6 C1 C7 111.352 H8 C6 H9 108.002
H8 C6 H10 107.819 H9 C6 H10 107.848
H11 C7 H12 108.002 H11 C7 H13 107.819
H12 C7 H13 107.848
Electronic energy levels

Electronic state

Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/CEP-121G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.144      
2 C -0.433      
3 H 0.146      
4 H 0.159      
5 H 0.159      
6 C -0.571      
7 C -0.571      
8 H 0.157      
9 H 0.160      
10 H 0.165      
11 H 0.157      
12 H 0.160      
13 H 0.165      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -0.194 0.231 0.000 0.302
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -28.086 -0.026 0.000
y -0.026 -28.637 0.000
z 0.000 0.000 -27.710
Traceless
 xyz
x 0.087 -0.026 0.000
y -0.026 -0.739 0.000
z 0.000 0.000 0.652
Polar
3z2-r21.304
x2-y20.551
xy-0.026
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 7.746 0.088 0.000
y 0.088 6.253 0.000
z 0.000 0.000 7.596


<r2> (average value of r2) Å2
<r2> 83.035
(<r2>)1/2 9.112