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

using model chemistry: B3LYP/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 B3LYP/3-21G
 hartrees
Energy at 0K-156.931504
Energy at 298.15K-156.940232
Nuclear repulsion energy125.776082
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/3-21G
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
(Å4/u)
Dep P Dep U
1 A 3143 3033 16.55      
2 A 3118 3008 53.95      
3 A 3111 3002 39.13      
4 A 3047 2940 13.59      
5 A 2939 2836 24.80      
6 A 1575 1520 10.42      
7 A 1568 1513 6.63      
8 A 1503 1450 0.94      
9 A 1458 1407 4.73      
10 A 1343 1296 3.20      
11 A 1225 1182 3.32      
12 A 1126 1087 2.32      
13 A 981 946 1.80      
14 A 806 778 0.06      
15 A 517 499 28.31      
16 A 409 394 20.57      
17 A 366 353 0.64      
18 A 266 256 0.10      
19 A 3247 3133 17.59      
20 A 3111 3002 3.43      
21 A 3108 2999 15.97      
22 A 3043 2936 31.10      
23 A 1557 1502 3.00      
24 A 1556 1501 0.72      
25 A 1446 1395 7.75      
26 A 1354 1307 1.15      
27 A 1192 1150 1.00      
28 A 988 953 0.02      
29 A 980 945 2.05      
30 A 919 887 0.94      
31 A 383 369 0.02      
32 A 243 234 0.00      
33 A 113 109 0.15      

Unscaled Zero Point Vibrational Energy (zpe) 25869.4 cm-1
Scaled (by 0.9649) Zero Point Vibrational Energy (zpe) 24961.4 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/3-21G
ABC
0.27809 0.26170 0.15316

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/3-21G

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.373 0.000
C2 1.483 0.145 0.000
H3 -0.200 1.461 0.000
H4 2.041 0.139 0.931
H5 2.041 0.139 -0.931
C6 -0.657 -0.219 -1.273
C7 -0.657 -0.219 1.273
H8 -0.512 -1.305 -1.296
H9 -1.732 -0.008 -1.286
H10 -0.208 0.209 -2.177
H11 -0.512 -1.305 1.296
H12 -1.732 -0.008 1.286
H13 -0.208 0.209 2.177

Atom - Atom Distances (Å)
  C1 C2 H3 H4 H5 C6 C7 H8 H9 H10 H11 H12 H13
C11.50081.10662.25602.25601.55021.55022.18132.19002.19322.18132.19002.1932
C21.50082.13711.08561.08562.51672.51672.78673.46592.75792.78673.46592.7579
H31.10662.13712.76422.76422.15722.15723.07082.48112.51143.07082.48112.5114
H42.25601.08562.76421.86223.50252.74313.68334.37863.83772.95643.79262.5728
H52.25601.08562.76421.86222.74313.50252.95643.79262.57283.68334.37863.8377
C61.55022.51672.15723.50252.74312.54671.09571.09581.09602.79312.78363.5057
C71.55022.51672.15722.74313.50252.54672.79312.78363.50571.09571.09581.0960
H82.18132.78673.07083.68332.95641.09572.79311.78051.77832.59203.13603.8011
H92.19003.46592.48114.37863.79261.09582.78361.78051.77833.13602.57113.7891
H102.19322.75792.51143.83772.57281.09603.50571.77831.77833.80113.78914.3542
H112.18132.78673.07082.95643.68332.79311.09572.59203.13603.80111.78051.7783
H122.19003.46592.48113.79264.37862.78361.09583.13602.57113.78911.78051.7783
H132.19322.75792.51142.57283.83773.50571.09603.80113.78914.35421.77831.7783

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 120.595 C1 C2 H5 120.595
C1 C6 H8 109.863 C1 C6 H9 110.547
C1 C6 H10 110.780 C1 C7 H11 109.863
C1 C7 H12 110.547 C1 C7 H13 110.780
C2 C1 H3 109.161 C2 C1 C6 111.137
C2 C1 C7 111.137 H3 C1 C6 107.399
H3 C1 C7 107.399 H4 C2 H5 118.124
C6 C1 C7 110.453 H8 C6 H9 108.673
H8 C6 H10 108.460 H9 C6 H10 108.456
H11 C7 H12 108.673 H11 C7 H13 108.460
H12 C7 H13 108.456
Electronic energy levels

Electronic state

Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/3-21G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.303     0.456
2 C -0.315     -0.523
3 H 0.203     -0.023
4 H 0.175     0.167
5 H 0.175     0.167
6 C -0.525     -0.469
7 C -0.525     -0.469
8 H 0.190     0.126
9 H 0.183     0.108
10 H 0.184     0.113
11 H 0.190     0.126
12 H 0.183     0.108
13 H 0.184     0.113


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -0.132 0.154 0.000 0.203
CHELPG        
AIM        
ESP -0.121 0.139 0.000 0.184


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -27.326 -0.054 0.000
y -0.054 -28.147 0.000
z 0.000 0.000 -27.085
Traceless
 xyz
x 0.290 -0.054 0.000
y -0.054 -0.942 0.000
z 0.000 0.000 0.651
Polar
3z2-r21.303
x2-y20.821
xy-0.054
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 6.374 -0.029 0.000
y -0.029 4.865 0.000
z 0.000 0.000 6.274


<r2> (average value of r2) Å2
<r2> 95.090
(<r2>)1/2 9.751