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

using model chemistry: HF/daug-cc-pVTZ

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/daug-cc-pVTZ
 hartrees
Energy at 0K-269.230397
Energy at 298.15K-269.237511
HF Energy-269.230397
Nuclear repulsion energy260.525932
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/daug-cc-pVTZ
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 3343 3025 16.74      
2 A1 3324 3007 12.28      
3 A1 3309 2994 5.54      
4 A1 3284 2971 10.43      
5 A1 1639 1482 0.35      
6 A1 1613 1459 4.13      
7 A1 1596 1444 2.79      
8 A1 1334 1207 0.57      
9 A1 1236 1118 0.06      
10 A1 1070 968 0.56      
11 A1 1029 931 0.06      
12 A1 848 767 0.02      
13 A1 554 501 0.20      
14 A2 1009 913 0.00      
15 A2 853 772 0.00      
16 A2 546 494 0.00      
17 A2 398 360 0.00      
18 B1 1019 922 0.06      
19 B1 923 835 5.17      
20 B1 788 713 73.32      
21 B1 736 666 1.22      
22 B1 690 624 46.56      
23 B1 492 445 15.28      
24 B1 206 186 1.45      
25 B2 3378 3056 11.50      
26 B2 3331 3013 44.28      
27 B2 3312 2996 0.50      
28 B2 1635 1479 1.61      
29 B2 1553 1405 2.84      
30 B2 1445 1307 0.62      
31 B2 1391 1259 0.00      
32 B2 1224 1108 0.00      
33 B2 1157 1046 0.66      
34 B2 1028 930 1.11      
35 B2 651 589 0.01      
36 B2 384 347 0.01      

Unscaled Zero Point Vibrational Energy (zpe) 26163.2 cm-1
Scaled (by 0.9046) Zero Point Vibrational Energy (zpe) 23667.2 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/daug-cc-pVTZ
ABC
0.18530 0.09059 0.06084

See section I.F.4 to change rotational constant units
Geometric Data calculated at HF/daug-cc-pVTZ

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 0.993
C2 0.000 1.217 0.254
C3 0.000 1.211 -1.131
C4 0.000 0.000 -1.835
C5 0.000 -1.211 -1.131
C6 0.000 -1.217 0.254
C7 0.000 0.000 2.393
H8 0.000 2.149 0.786
H9 0.000 2.140 -1.668
H10 0.000 0.000 -2.908
H11 0.000 -2.140 -1.668
H12 0.000 -2.149 0.786
H13 0.000 0.918 2.947
H14 0.000 -0.918 2.947

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 C7 H8 H9 H10 H11 H12 H13 H14
C11.42412.44492.82822.44491.42411.40022.15943.41473.90083.41472.15942.15912.1591
C21.42411.38462.41742.79482.43422.46171.07362.13163.38753.86813.40832.71013.4374
C32.44491.38461.40062.42142.79483.72652.13431.07322.15003.39353.86844.08864.6005
C42.82822.41741.40061.40062.41744.22843.38962.14661.07262.14663.38964.86964.8696
C52.44492.79482.42141.40061.38463.72653.86843.39352.15001.07322.13434.60054.0886
C61.42412.43422.79482.41741.38462.46173.40833.86813.38752.13161.07363.43742.7101
C71.40022.46173.72654.22843.72652.46172.68414.59055.30104.59052.68411.07241.0724
H82.15941.07362.13433.38963.86843.40832.68412.45364.27344.94164.29892.48743.7527
H93.41472.13161.07322.14663.39353.86814.59052.45362.47334.28014.94164.77395.5364
H103.90083.38752.15001.07262.15003.38755.30104.27342.47332.47334.27345.92645.9264
H113.41473.86813.39352.14661.07322.13164.59054.94164.28012.47332.45365.53644.7739
H122.15943.40833.86843.38962.13431.07362.68414.29894.94164.27342.45363.75272.4874
H132.15912.71014.08864.86964.60053.43741.07242.48744.77395.92645.53643.75271.8368
H142.15913.43744.60054.86964.08862.71011.07243.75275.53645.92644.77392.48741.8368

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 121.020 C1 C2 H8 118.998
C1 C6 C5 121.020 C1 C6 H12 118.998
C1 C7 H13 121.092 C1 C7 H14 121.092
C2 C1 C6 117.433 C2 C1 C7 121.284
C2 C3 C4 120.445 C2 C3 H9 119.751
C3 C2 H8 119.982 C3 C4 C5 119.638
C3 C4 H10 120.181 C4 C3 H9 119.805
C4 C5 C6 120.445 C4 C5 H11 119.805
C5 C1 C7 150.317 C5 C4 H10 120.181
C5 C6 H12 119.982 C6 C5 H11 119.751
H13 C7 H14 117.817
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HF/daug-cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 2.926      
2 C -0.378      
3 C -0.669      
4 C -0.072      
5 C -0.669      
6 C -0.378      
7 C -2.979      
8 H 0.280      
9 H 0.415      
10 H 0.242      
11 H 0.415      
12 H 0.280      
13 H 0.294      
14 H 0.294      


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 -0.040 0.040
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -46.883 0.000 0.000
y 0.000 -37.673 0.000
z 0.000 0.000 -37.996
Traceless
 xyz
x -9.048 0.000 0.000
y 0.000 4.767 0.000
z 0.000 0.000 4.282
Polar
3z2-r28.563
x2-y2-9.210
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 7.379 0.000 0.000
y 0.000 11.654 0.000
z 0.000 0.000 14.874


<r2> (average value of r2) Å2
<r2> 190.203
(<r2>)1/2 13.791