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

using model chemistry: wB97X-D/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 wB97X-D/3-21G*
 hartrees
Energy at 0K-156.881739
Energy at 298.15K-156.890608
HF Energy-156.881739
Nuclear repulsion energy126.100742
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 wB97X-D/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' 3167 3001 13.94      
2 A' 3150 2985 46.11      
3 A' 3144 2980 32.32      
4 A' 3069 2909 11.79      
5 A' 3002 2846 19.86      
6 A' 1582 1499 15.55      
7 A' 1569 1487 7.51      
8 A' 1506 1427 2.16      
9 A' 1469 1392 9.35      
10 A' 1358 1287 2.66      
11 A' 1238 1174 4.11      
12 A' 1136 1077 3.33      
13 A' 998 946 2.73      
14 A' 824 781 0.18      
15 A' 521 494 31.51      
16 A' 418 396 26.35      
17 A' 382 362 0.74      
18 A' 266 252 0.25      
19 A" 3276 3105 13.62      
20 A" 3145 2981 0.02      
21 A" 3142 2978 16.21      
22 A" 3067 2906 27.64      
23 A" 1559 1478 1.09      
24 A" 1557 1476 4.51      
25 A" 1456 1380 15.69      
26 A" 1370 1299 0.53      
27 A" 1208 1145 1.26      
28 A" 1003 950 0.12      
29 A" 989 938 2.39      
30 A" 937 888 1.45      
31 A" 394 373 0.01      
32 A" 232 220 0.00      
33 A" 178 169 0.15      

Unscaled Zero Point Vibrational Energy (zpe) 26154.8 cm-1
Scaled (by 0.9478) Zero Point Vibrational Energy (zpe) 24789.6 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 wB97X-D/3-21G*
ABC
0.27946 0.26365 0.15432

See section I.F.4 to change rotational constant units
Geometric Data calculated at wB97X-D/3-21G*

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 -0.284 0.254 0.000
C2 0.888 1.200 0.000
H3 -1.217 0.842 0.000
H4 1.350 1.512 0.932
H5 1.350 1.512 -0.932
C6 -0.284 -0.626 -1.269
C7 -0.284 -0.626 1.269
H8 0.624 -1.237 -1.292
H9 -1.155 -1.292 -1.274
H10 -0.315 -0.012 -2.176
H11 0.624 -1.237 1.292
H12 -1.155 -1.292 1.274
H13 -0.315 -0.012 2.176

Atom - Atom Distances (Å)
  C1 C2 H3 H4 H5 C6 C7 H8 H9 H10 H11 H12 H13
C11.50601.10172.26332.26331.54421.54422.17232.18442.19292.17232.18442.1929
C21.50602.13441.08651.08652.51362.51362.77143.46482.76622.77143.46482.7662
H31.10172.13442.81212.81212.15232.15233.06232.48582.50573.06232.48582.5057
H42.26331.08652.81211.86473.47652.71203.61004.35923.84172.86613.77522.5772
H52.26331.08652.81211.86472.71203.47652.86613.77522.57723.61004.35923.8417
C61.54422.51362.15233.47652.71202.53731.09501.09581.09632.78462.76873.4995
C71.54422.51362.15232.71203.47652.53732.78462.76873.49951.09501.09581.0963
H82.17232.77143.06233.61002.86611.09502.78461.77921.77912.58343.12223.7961
H92.18443.46482.48584.35923.77521.09582.76871.77921.77713.12222.54803.7748
H102.19292.76622.50573.84172.57721.09633.49951.77911.77713.79613.77484.3528
H112.17232.77143.06232.86613.61002.78461.09502.58343.12223.79611.77921.7791
H122.18443.46482.48583.77524.35922.76871.09583.12222.54803.77481.77921.7771
H132.19292.76622.50572.57723.84173.49951.09633.79613.77484.35281.77911.7771

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 120.764 C1 C2 H5 120.764
C1 C6 H8 109.615 C1 C6 H9 110.519
C1 C6 H10 111.161 C1 C7 H11 109.615
C1 C7 H12 110.519 C1 C7 H13 111.161
C2 C1 H3 108.883 C2 C1 C6 110.983
C2 C1 C7 110.983 H3 C1 C6 107.691
H3 C1 C7 107.691 H4 C2 H5 118.212
C6 C1 C7 110.482 H8 C6 H9 108.604
H8 C6 H10 108.558 H9 C6 H10 108.319
H11 C7 H12 108.604 H11 C7 H13 108.558
H12 C7 H13 108.319
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at wB97X-D/3-21G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.340      
2 C -0.358      
3 H 0.225      
4 H 0.199      
5 H 0.199      
6 C -0.578      
7 C -0.578      
8 H 0.209      
9 H 0.203      
10 H 0.204      
11 H 0.209      
12 H 0.203      
13 H 0.204      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -0.199 -0.000 0.000 0.199
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -27.509 0.464 0.000
y 0.464 -27.588 0.000
z 0.000 0.000 -26.847
Traceless
 xyz
x -0.292 0.464 0.000
y 0.464 -0.410 0.000
z 0.000 0.000 0.702
Polar
3z2-r21.403
x2-y20.079
xy0.464
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 5.545 0.711 0.000
y 0.711 5.587 0.000
z 0.000 0.000 6.187


<r2> (average value of r2) Å2
<r2> 94.447
(<r2>)1/2 9.718