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

using model chemistry: BLYP/6-311G*

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 2B1
Energy calculated at BLYP/6-311G*
 hartrees
Energy at 0K-270.841939
Energy at 298.15K-270.848631
HF Energy-270.841939
Nuclear repulsion energy258.272420
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 BLYP/6-311G*
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 3107 3099 23.71      
2 A1 3088 3080 12.51      
3 A1 3073 3065 15.73      
4 A1 3066 3058 5.10      
5 A1 1550 1546 0.92      
6 A1 1473 1469 8.71      
7 A1 1460 1456 0.99      
8 A1 1267 1264 1.62      
9 A1 1163 1160 0.20      
10 A1 1006 1003 1.95      
11 A1 970 968 0.96      
12 A1 806 804 0.34      
13 A1 522 521 0.15      
14 A2 909 907 0.00      
15 A2 790 788 0.00      
16 A2 491 490 0.00      
17 A2 378 377 0.00      
18 B1 935 932 0.00      
19 B1 850 847 6.47      
20 B1 743 741 55.88      
21 B1 679 677 6.17      
22 B1 659 657 53.52      
23 B1 461 460 14.87      
24 B1 190 190 1.26      
25 B2 3156 3148 17.03      
26 B2 3092 3085 65.17      
27 B2 3075 3067 0.56      
28 B2 1522 1519 1.18      
29 B2 1434 1431 5.05      
30 B2 1325 1321 0.15      
31 B2 1299 1296 1.72      
32 B2 1153 1150 0.07      
33 B2 1089 1087 2.41      
34 B2 949 947 1.75      
35 B2 613 612 0.00      
36 B2 353 352 0.14      

Unscaled Zero Point Vibrational Energy (zpe) 24348.3 cm-1
Scaled (by 0.9975) Zero Point Vibrational Energy (zpe) 24287.4 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 BLYP/6-311G*
ABC
0.18246 0.08906 0.05985

See section I.F.4 to change rotational constant units
Geometric Data calculated at BLYP/6-311G*

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.004
C2 0.000 1.225 0.252
C3 0.000 1.218 -1.139
C4 0.000 0.000 -1.849
C5 0.000 -1.218 -1.139
C6 0.000 -1.225 0.252
C7 0.000 0.000 2.413
H8 0.000 2.174 0.795
H9 0.000 2.165 -1.686
H10 0.000 0.000 -2.941
H11 0.000 -2.165 -1.686
H12 0.000 -2.174 0.795
H13 0.000 0.931 2.980
H14 0.000 -0.931 2.980

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 C7 H8 H9 H10 H11 H12 H13 H14
C11.43742.46502.85322.46501.43741.40942.18453.45223.94493.45222.18452.18492.1849
C21.43741.39162.43312.81232.45102.48401.09292.15353.42073.90493.44292.74363.4774
C32.46501.39161.41032.43672.81233.75542.15731.09272.17523.42683.90524.12944.6465
C42.85322.43311.41031.41032.43314.26263.42342.17081.09172.17083.42344.91874.9187
C52.46502.81232.43671.41031.39163.75543.90523.42682.17521.09272.15734.64654.1294
C61.43742.45102.81232.43311.39162.48403.44293.90493.42072.15351.09293.47742.7436
C71.40942.48403.75544.26263.75542.48402.71074.63515.35434.63512.71071.09031.0903
H82.18451.09292.15733.42343.90523.44292.71072.48024.32264.99794.34892.51443.7976
H93.45222.15351.09272.17083.42683.90494.63512.48022.50254.32934.99794.82605.5994
H103.94493.42072.17521.09172.17523.42075.35434.32262.50252.50254.32265.99425.9942
H113.45223.90493.42682.17081.09272.15354.63514.99794.32932.50252.48025.59944.8260
H122.18453.44293.90523.42342.15731.09292.71074.34894.99794.32262.48023.79762.5144
H132.18492.74364.12944.91874.64653.47741.09032.51444.82605.99425.59943.79761.8625
H142.18493.47744.64654.91874.12942.74361.09033.79765.59945.99424.82602.51441.8625

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 121.215 C1 C2 H8 118.748
C1 C6 C5 121.215 C1 C6 H12 118.748
C1 C7 H13 121.341 C1 C7 H14 121.341
C2 C1 C6 116.980 C2 C1 C7 121.510
C2 C3 C4 120.538 C2 C3 H9 119.704
C3 C2 H8 120.038 C3 C4 C5 119.515
C3 C4 H10 120.243 C4 C3 H9 119.759
C4 C5 C6 120.538 C4 C5 H11 119.759
C5 C1 C7 150.380 C5 C4 H10 120.243
C5 C6 H12 120.038 C6 C5 H11 119.704
H13 C7 H14 117.317
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at BLYP/6-311G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.106      
2 C -0.197      
3 C -0.180      
4 C -0.175      
5 C -0.180      
6 C -0.197      
7 C -0.444      
8 H 0.174      
9 H 0.176      
10 H 0.178      
11 H 0.176      
12 H 0.174      
13 H 0.194      
14 H 0.194      


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 -0.176 0.176
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -46.604 0.000 0.000
y 0.000 -37.540 0.000
z 0.000 0.000 -38.048
Traceless
 xyz
x -8.811 0.000 0.000
y 0.000 4.786 0.000
z 0.000 0.000 4.025
Polar
3z2-r28.049
x2-y2-9.064
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 4.784 0.000 0.000
y 0.000 12.319 0.000
z 0.000 0.000 17.398


<r2> (average value of r2) Å2
<r2> 193.039
(<r2>)1/2 13.894