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

using model chemistry: PBEPBEultrafine/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 PBEPBEultrafine/6-31G*
 hartrees
Energy at 0K-270.549582
Energy at 298.15K-270.556263
HF Energy-270.549582
Nuclear repulsion energy258.455210
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 PBEPBEultrafine/6-31G*
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
(Å4/u)
Dep P Dep U
1 A1 3142 3090 16.09      
2 A1 3124 3072 5.80      
3 A1 3109 3058 13.05      
4 A1 3106 3054 0.86      
5 A1 1582 1556 0.78      
6 A1 1487 1462 6.00      
7 A1 1465 1441 0.05      
8 A1 1283 1262 2.95      
9 A1 1169 1150 0.10      
10 A1 1022 1005 1.64      
11 A1 970 954 0.41      
12 A1 816 802 0.30      
13 A1 517 509 0.26      
14 A2 920 905 0.00      
15 A2 804 791 0.00      
16 A2 494 486 0.00      
17 A2 379 372 0.00      
18 B1 945 929 0.04      
19 B1 861 847 7.04      
20 B1 749 736 55.57      
21 B1 685 673 2.34      
22 B1 662 651 40.73      
23 B1 463 455 9.89      
24 B1 195 192 0.94      
25 B2 3201 3148 9.60      
26 B2 3128 3077 42.81      
27 B2 3111 3060 1.09      
28 B2 1553 1528 0.57      
29 B2 1450 1426 4.86      
30 B2 1359 1337 0.92      
31 B2 1312 1290 1.26      
32 B2 1154 1135 0.02      
33 B2 1098 1080 2.58      
34 B2 953 938 1.42      
35 B2 608 598 0.00      
36 B2 344 338 0.12      

Unscaled Zero Point Vibrational Energy (zpe) 24609.5 cm-1
Scaled (by 0.9835) Zero Point Vibrational Energy (zpe) 24203.4 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 PBEPBEultrafine/6-31G*
ABC
0.18279 0.08925 0.05997

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

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 0.999
C2 0.000 1.225 0.254
C3 0.000 1.218 -1.139
C4 0.000 0.000 -1.847
C5 0.000 -1.218 -1.139
C6 0.000 -1.225 0.254
C7 0.000 0.000 2.411
H8 0.000 2.174 0.801
H9 0.000 2.166 -1.688
H10 0.000 0.000 -2.942
H11 0.000 -2.166 -1.688
H12 0.000 -2.174 0.801
H13 0.000 0.933 2.982
H14 0.000 -0.933 2.982

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 C7 H8 H9 H10 H11 H12 H13 H14
C11.43342.46082.84582.46081.43341.41222.18263.45163.94073.45162.18262.19212.1921
C21.43341.39352.43212.81252.44962.48031.09532.15873.42283.90813.44222.74383.4784
C32.46081.39351.40892.43652.81253.75352.16321.09552.17563.42873.90784.13164.6493
C42.84582.43211.40891.40892.43214.25813.42622.17211.09492.17213.42624.91874.9187
C52.46082.81252.43651.40891.39353.75353.90783.42872.17561.09552.16324.64934.1316
C61.43342.44962.81252.43211.39352.48033.44223.90813.42282.15871.09533.47842.7438
C71.41222.48033.75354.25813.75352.48032.70474.63665.35294.63662.70471.09401.0940
H82.18261.09532.16323.42623.90783.44222.70472.48984.32875.00344.34722.50923.7957
H93.45162.15871.09552.17213.42873.90814.63662.48982.50284.33255.00344.83095.6055
H103.94073.42282.17561.09492.17563.42285.35294.32872.50282.50284.32875.99745.9974
H113.45163.90813.42872.17211.09552.15874.63665.00344.33252.50282.48985.60554.8309
H122.18263.44223.90783.42622.16321.09532.70474.34725.00344.32872.48983.79572.5092
H132.19212.74384.13164.91874.64933.47841.09402.50924.83095.99745.60553.79571.8658
H142.19213.47844.64934.91874.13162.74381.09403.79575.60555.99744.83092.50921.8658

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 121.026 C1 C2 H8 118.728
C1 C6 C5 121.026 C1 C6 H12 118.728
C1 C7 H13 121.487 C1 C7 H14 121.487
C2 C1 C6 117.406 C2 C1 C7 121.297
C2 C3 C4 120.424 C2 C3 H9 119.806
C3 C2 H8 120.246 C3 C4 C5 119.693
C3 C4 H10 120.153 C4 C3 H9 119.770
C4 C5 C6 120.424 C4 C5 H11 119.770
C5 C1 C7 150.327 C5 C4 H10 120.153
C5 C6 H12 120.246 C6 C5 H11 119.806
H13 C7 H14 117.025
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBEultrafine/6-31G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.223      
2 C -0.190      
3 C -0.135      
4 C -0.142      
5 C -0.135      
6 C -0.190      
7 C -0.423      
8 H 0.134      
9 H 0.139      
10 H 0.139      
11 H 0.139      
12 H 0.134      
13 H 0.155      
14 H 0.155      


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 -0.125 0.125
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -45.192 0.000 0.000
y 0.000 -36.544 -0.001
z 0.000 -0.001 -36.846
Traceless
 xyz
x -8.497 0.000 0.000
y 0.000 4.474 -0.001
z 0.000 -0.001 4.022
Polar
3z2-r28.045
x2-y2-8.647
xy0.000
xz0.000
yz-0.001


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.670 0.000 0.000
y 0.000 11.753 -0.003
z 0.000 -0.003 16.437


<r2> (average value of r2) Å2
<r2> 191.991
(<r2>)1/2 13.856