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All results from a given calculation for C6H5CH2 (benzyl radical)

using model chemistry: B3PW91/6-31G*

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 2B1
Energy calculated at B3PW91/6-31G*
 hartrees
Energy at 0K-270.810693
Energy at 298.15K-270.817545
HF Energy-270.810693
Nuclear repulsion energy259.948905
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 B3PW91/6-31G*
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
4/u)
Dep P Dep U
1 A1 3224 3084 15.96      
2 A1 3205 3066 7.62      
3 A1 3191 3053 8.73      
4 A1 3182 3044 5.59      
5 A1 1627 1557 1.08      
6 A1 1524 1458 6.65      
7 A1 1511 1445 0.10      
8 A1 1300 1244 3.11      
9 A1 1197 1145 0.02      
10 A1 1050 1005 1.64      
11 A1 997 954 0.29      
12 A1 837 801 0.29      
13 A1 530 507 0.36      
14 A2 962 920 0.00      
15 A2 834 798 0.00      
16 A2 496 474 0.00      
17 A2 389 372 0.00      
18 B1 985 942 0.04      
19 B1 896 858 6.51      
20 B1 772 738 62.87      
21 B1 701 671 0.73      
22 B1 683 653 46.33      
23 B1 478 457 11.30      
24 B1 202 193 1.09      
25 B2 3278 3136 9.57      
26 B2 3211 3072 42.65      
27 B2 3193 3055 0.78      
28 B2 1606 1537 0.73      
29 B2 1492 1427 6.12      
30 B2 1374 1315 0.19      
31 B2 1353 1294 1.31      
32 B2 1186 1134 0.03      
33 B2 1127 1079 2.76      
34 B2 980 938 1.37      
35 B2 625 598 0.00      
36 B2 353 338 0.12      

Unscaled Zero Point Vibrational Energy (zpe) 25274.5 cm-1
Scaled (by 0.9567) Zero Point Vibrational Energy (zpe) 24180.1 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 B3PW91/6-31G*
ABC
0.18509 0.09018 0.06064

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3PW91/6-31G*

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 0.992
C2 0.000 1.216 0.252
C3 0.000 1.210 -1.133
C4 0.000 0.000 -1.837
C5 0.000 -1.210 -1.133
C6 0.000 -1.216 0.252
C7 0.000 0.000 2.399
H8 0.000 2.159 0.794
H9 0.000 2.152 -1.676
H10 0.000 0.000 -2.924
H11 0.000 -2.152 -1.676
H12 0.000 -2.159 0.794
H13 0.000 0.928 2.963
H14 0.000 -0.928 2.963

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 C7 H8 H9 H10 H11 H12 H13 H14
C11.42362.44542.82962.44541.42361.40682.16773.42773.91613.42772.16772.17802.1780
C21.42361.38452.41712.79312.43172.46771.08752.14283.40043.88033.41772.72643.4562
C32.44541.38451.40022.42012.79313.73342.14751.08722.16153.40553.88074.10534.6200
C42.82962.41711.40021.40022.41714.23643.40332.15801.08652.15803.40334.88904.8890
C52.44542.79312.42011.40021.38453.73343.88073.40552.16151.08722.14754.62004.1053
C61.42362.43172.79312.41711.38452.46773.41773.88033.40042.14281.08753.45622.7264
C71.40682.46773.73344.23643.73342.46772.69004.60825.32294.60822.69001.08561.0856
H82.16771.08752.14753.40333.88073.41772.69002.46974.29904.96794.31712.49383.7722
H93.42772.14281.08722.15803.40553.88034.60822.46972.48774.30394.96794.79755.5679
H103.91613.40042.16151.08652.16153.40045.32294.29902.48772.48774.29905.95945.9594
H113.42773.88033.40552.15801.08722.14284.60824.96794.30392.48772.46975.56794.7975
H122.16773.41773.88073.40332.14751.08752.69004.31714.96794.29902.46973.77222.4938
H132.17802.72644.10534.88904.62003.45621.08562.49384.79755.95945.56793.77221.8556
H142.17803.45624.62004.88904.10532.72641.08563.77225.56795.95944.79752.49381.8556

picture of benzyl radical state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 C3 121.107 C1 C2 H8 118.748
C1 C6 C5 121.107 C1 C6 H12 118.748
C1 C7 H13 121.285 C1 C7 H14 121.285
C2 C1 C6 117.308 C2 C1 C7 121.346
C2 C3 C4 120.450 C2 C3 H9 119.726
C3 C2 H8 120.145 C3 C4 C5 119.580
C3 C4 H10 120.210 C4 C3 H9 119.825
C4 C5 C6 120.450 C4 C5 H11 119.825
C5 C1 C7 150.342 C5 C4 H10 120.210
C5 C6 H12 120.145 C6 C5 H11 119.726
H13 C7 H14 117.429
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3PW91/6-31G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.194      
2 C -0.208      
3 C -0.160      
4 C -0.167      
5 C -0.160      
6 C -0.208      
7 C -0.441      
8 H 0.160      
9 H 0.163      
10 H 0.163      
11 H 0.163      
12 H 0.160      
13 H 0.171      
14 H 0.171      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.000 0.000 -0.093 0.093
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -45.229 0.000 0.000
y 0.000 -36.187 0.000
z 0.000 0.000 -36.437
Traceless
 xyz
x -8.917 0.000 0.000
y 0.000 4.646 0.000
z 0.000 0.000 4.272
Polar
3z2-r28.544
x2-y2-9.042
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.633 0.000 0.000
y 0.000 11.407 0.000
z 0.000 0.000 15.776


<r2> (average value of r2) Å2
<r2> 189.984
(<r2>)1/2 13.783