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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-27.930652
Energy at 298.15K-27.939249
Nuclear repulsion energy72.342238
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
(Å4/u)
Dep P Dep U
1 A 3074 2996 40.10      
2 A 3070 2991 106.88      
3 A 3066 2988 62.19      
4 A 2979 2903 27.60      
5 A 2876 2803 47.80      
6 A 1530 1491 11.26      
7 A 1523 1484 7.50      
8 A 1465 1428 1.54      
9 A 1427 1390 5.40      
10 A 1324 1290 4.57      
11 A 1208 1177 2.30      
12 A 1100 1072 0.93      
13 A 979 954 0.91      
14 A 802 781 0.03      
15 A 532 518 37.43      
16 A 413 403 16.49      
17 A 355 346 0.40      
18 A 251 244 0.07      
19 A 3194 3113 36.35      
20 A 3063 2984 35.80      
21 A 3061 2983 0.00      
22 A 2974 2898 57.54      
23 A 1513 1474 3.72      
24 A 1511 1473 0.32      
25 A 1415 1379 7.77      
26 A 1332 1298 1.45      
27 A 1182 1152 1.11      
28 A 972 947 0.03      
29 A 948 924 1.26      
30 A 908 885 0.46      
31 A 370 361 0.12      
32 A 224 219 0.02      
33 A 70 68 0.10      

Unscaled Zero Point Vibrational Energy (zpe) 25354.6 cm-1
Scaled (by 0.9745) Zero Point Vibrational Energy (zpe) 24708.0 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
0.27387 0.25721 0.15012

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 0.370 0.000
C2 1.508 0.202 0.000
H3 -0.230 1.457 0.000
H4 2.071 0.198 0.935
H5 2.071 0.198 -0.935
C6 -0.641 -0.230 -1.286
C7 -0.641 -0.230 1.286
H8 -0.476 -1.316 -1.330
H9 -1.725 -0.048 -1.305
H10 -0.206 0.216 -2.191
H11 -0.476 -1.316 1.330
H12 -1.725 -0.048 1.305
H13 -0.206 0.216 2.191

Atom - Atom Distances (Å)
  C1 C2 H3 H4 H5 C6 C7 H8 H9 H10 H11 H12 H13
C11.51761.11052.27892.27891.55771.55772.20022.20302.20612.20022.20302.2061
C21.51762.14401.09131.09132.54202.54202.83063.49542.78172.83063.49542.7817
H31.11052.14402.78472.78472.16102.16103.08542.49032.51823.08542.49032.5182
H42.27891.09132.78471.86983.53192.76853.73014.41453.86722.98983.82192.6003
H52.27891.09132.78471.86982.76853.53192.98983.82192.60033.73014.41453.8672
C61.55772.54202.16103.53192.76852.57231.09911.09891.09902.83762.81453.5327
C71.55772.54202.16102.76853.53192.57232.83762.81453.53271.09911.09891.0990
H82.20022.83063.08543.73012.98981.09912.83761.77991.77802.66053.18003.8496
H92.20303.49542.49034.41453.82191.09892.81451.77991.77843.18002.61013.8210
H102.20612.78172.51823.86722.60031.09903.53271.77801.77843.84963.82104.3820
H112.20022.83063.08542.98983.73012.83761.09912.66053.18003.84961.77991.7780
H122.20303.49542.49033.82194.41452.81451.09893.18002.61013.82101.77991.7784
H132.20612.78172.51822.60033.86723.53271.09903.84963.82104.38201.77801.7784

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 120.867 C1 C2 H5 120.867
C1 C6 H8 110.629 C1 C6 H9 110.859
C1 C6 H10 111.096 C1 C7 H11 110.629
C1 C7 H12 110.859 C1 C7 H13 111.096
C2 C1 H3 108.337 C2 C1 C6 111.490
C2 C1 C7 111.490 H3 C1 C6 106.978
H3 C1 C7 106.978 H4 C2 H5 117.890
C6 C1 C7 111.311 H8 C6 H9 108.147
H8 C6 H10 107.969 H9 C6 H10 108.022
H11 C7 H12 108.147 H11 C7 H13 107.969
H12 C7 H13 108.022
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 0.091      
2 C -0.304      
3 H 0.130      
4 H 0.121      
5 H 0.121      
6 C -0.505      
7 C -0.505      
8 H 0.143      
9 H 0.139      
10 H 0.144      
11 H 0.143      
12 H 0.139      
13 H 0.144      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -0.222 0.204 0.000 0.302
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -28.165 -0.054 0.000
y -0.054 -28.738 0.000
z 0.000 0.000 -27.678
Traceless
 xyz
x 0.043 -0.054 0.000
y -0.054 -0.817 0.000
z 0.000 0.000 0.774
Polar
3z2-r21.547
x2-y20.574
xy-0.054
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 7.601 0.056 0.000
y 0.056 6.150 0.000
z 0.000 0.000 7.428


<r2> (average value of r2) Å2
<r2> 83.547
(<r2>)1/2 9.140