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

using model chemistry: HF/Def2TZVPP

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 2B1
Energy calculated at HF/Def2TZVPP
 hartrees
Energy at 0K-269.236202
Energy at 298.15K-269.243326
HF Energy-269.236202
Nuclear repulsion energy260.543020
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 HF/Def2TZVPP
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 3345 3032 17.49      
2 A1 3326 3015 13.02      
3 A1 3311 3001 5.53      
4 A1 3286 2979 10.87      
5 A1 1640 1486 0.49      
6 A1 1614 1463 4.32      
7 A1 1597 1448 3.04      
8 A1 1334 1209 0.74      
9 A1 1237 1121 0.06      
10 A1 1070 970 0.60      
11 A1 1029 933 0.05      
12 A1 848 769 0.02      
13 A1 554 502 0.22      
14 A2 1004 910 0.00      
15 A2 852 772 0.00      
16 A2 546 495 0.00      
17 A2 398 361 0.00      
18 B1 1012 918 0.07      
19 B1 921 835 5.55      
20 B1 788 714 76.06      
21 B1 737 668 0.89      
22 B1 688 624 45.96      
23 B1 491 445 15.15      
24 B1 206 187 1.42      
25 B2 3381 3065 12.01      
26 B2 3333 3021 46.80      
27 B2 3314 3004 0.45      
28 B2 1636 1483 1.83      
29 B2 1555 1409 3.14      
30 B2 1446 1311 0.60      
31 B2 1392 1261 0.01      
32 B2 1226 1111 0.00      
33 B2 1158 1049 0.72      
34 B2 1029 933 1.04      
35 B2 652 591 0.01      
36 B2 385 349 0.01      

Unscaled Zero Point Vibrational Energy (zpe) 26170.8 cm-1
Scaled (by 0.9064) Zero Point Vibrational Energy (zpe) 23721.2 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 HF/Def2TZVPP
ABC
0.18533 0.09060 0.06085

See section I.F.4 to change rotational constant units
Geometric Data calculated at HF/Def2TZVPP

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 0.993
C2 0.000 1.216 0.252
C3 0.000 1.210 -1.131
C4 0.000 0.000 -1.837
C5 0.000 -1.210 -1.131
C6 0.000 -1.216 0.252
C7 0.000 0.000 2.397
H8 0.000 2.147 0.786
H9 0.000 2.139 -1.669
H10 0.000 0.000 -2.909
H11 0.000 -2.139 -1.669
H12 0.000 -2.147 0.786
H13 0.000 0.917 2.952
H14 0.000 -0.917 2.952

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 C7 H8 H9 H10 H11 H12 H13 H14
C11.42412.44532.83022.44531.42411.40332.15743.41523.90253.41522.15742.16232.1623
C21.42411.38402.41742.79322.43222.46511.07332.13163.38743.86633.40562.71573.4403
C32.44531.38401.40062.42022.79323.73002.13431.07322.15043.39193.86644.09364.6039
C42.83022.41741.40061.40062.41744.23343.38972.14551.07242.14553.38974.87544.8754
C52.44532.79322.42021.40061.38403.73003.86643.39192.15041.07322.13434.60394.0936
C61.42412.43222.79322.41741.38402.46513.40563.86633.38742.13161.07333.44032.7157
C71.40332.46513.73004.23343.73002.46512.68444.59415.30584.59412.68441.07181.0718
H82.15741.07332.13433.38973.86643.40562.68442.45504.27374.93964.29482.49083.7524
H93.41522.13161.07322.14553.39193.86634.59412.45502.47244.27794.93964.77955.5398
H103.90253.38742.15041.07242.15043.38745.30584.27372.47242.47244.27375.93205.9320
H113.41523.86633.39192.14551.07322.13164.59414.93964.27792.47242.45505.53984.7795
H122.15743.40563.86643.38972.13431.07332.68444.29484.93964.27372.45503.75242.4908
H132.16232.71574.09364.87544.60393.44031.07182.49084.77955.93205.53983.75241.8340
H142.16233.44034.60394.87544.09362.71571.07183.75245.53985.93204.77952.49081.8340

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 121.104 C1 C2 H8 118.840
C1 C6 C5 121.104 C1 C6 H12 118.840
C1 C7 H13 121.178 C1 C7 H14 121.178
C2 C1 C6 117.293 C2 C1 C7 121.354
C2 C3 C4 120.483 C2 C3 H9 119.809
C3 C2 H8 120.055 C3 C4 C5 119.533
C3 C4 H10 120.234 C4 C3 H9 119.708
C4 C5 C6 120.483 C4 C5 H11 119.708
C5 C1 C7 150.339 C5 C4 H10 120.234
C5 C6 H12 120.055 C6 C5 H11 119.809
H13 C7 H14 117.643
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HF/Def2TZVPP Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.014      
2 C -0.111      
3 C -0.080      
4 C -0.102      
5 C -0.080      
6 C -0.111      
7 C -0.107      
8 H 0.083      
9 H 0.093      
10 H 0.093      
11 H 0.093      
12 H 0.083      
13 H 0.067      
14 H 0.067      


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 -0.053 0.053
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -46.832 0.000 0.000
y 0.000 -37.529 0.000
z 0.000 0.000 -37.858
Traceless
 xyz
x -9.139 0.000 0.000
y 0.000 4.816 0.000
z 0.000 0.000 4.323
Polar
3z2-r28.645
x2-y2-9.303
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 6.610 0.000 0.000
y 0.000 11.171 0.000
z 0.000 0.000 14.420


<r2> (average value of r2) Å2
<r2> 190.111
(<r2>)1/2 13.788