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

using model chemistry: HF/6-311+G(3df,2p)

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/6-311+G(3df,2p)
 hartrees
Energy at 0K-269.222315
Energy at 298.15K-269.229429
HF Energy-269.222315
Nuclear repulsion energy260.502950
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/6-311+G(3df,2p)
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 3341 3035 15.68      
2 A1 3321 3018 13.75      
3 A1 3305 3003 4.38      
4 A1 3282 2982 10.34      
5 A1 1636 1487 0.29      
6 A1 1612 1465 4.00      
7 A1 1594 1449 3.10      
8 A1 1328 1206 0.60      
9 A1 1235 1123 0.06      
10 A1 1060 963 0.62      
11 A1 1015 922 0.00      
12 A1 843 766 0.01      
13 A1 552 502 0.21      
14 A2 1008 916 0.00      
15 A2 852 774 0.00      
16 A2 545 496 0.00      
17 A2 396 360 0.00      
18 B1 1015 922 0.08      
19 B1 922 837 4.94      
20 B1 784 712 82.16      
21 B1 736 668 0.61      
22 B1 677 615 39.72      
23 B1 488 443 14.68      
24 B1 205 186 1.43      
25 B2 3376 3068 11.18      
26 B2 3329 3025 43.46      
27 B2 3310 3007 0.43      
28 B2 1633 1483 1.67      
29 B2 1550 1409 2.91      
30 B2 1443 1311 0.60      
31 B2 1389 1262 0.00      
32 B2 1225 1113 0.00      
33 B2 1156 1051 0.66      
34 B2 1027 933 1.08      
35 B2 648 589 0.01      
36 B2 384 349 0.01      

Unscaled Zero Point Vibrational Energy (zpe) 26110.9 cm-1
Scaled (by 0.9086) Zero Point Vibrational Energy (zpe) 23724.4 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 HF/6-311+G(3df,2p)
ABC
0.18532 0.09055 0.06083

See section I.F.4 to change rotational constant units
Geometric Data calculated at HF/6-311+G(3df,2p)

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 0.994
C2 0.000 1.217 0.253
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 0.253
C7 0.000 0.000 2.394
H8 0.000 2.150 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 -2.150 0.786
H13 0.000 0.918 2.948
H14 0.000 -0.918 2.948

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 C7 H8 H9 H10 H11 H12 H13 H14
C11.42432.44572.82872.44571.42431.40012.15963.41573.90173.41572.15962.15962.1596
C21.42431.38482.41712.79482.43372.46211.07392.13213.38763.86833.40822.71153.4382
C32.44571.38481.40032.42142.79483.72722.13461.07352.15003.39383.86864.09024.6018
C42.82872.41711.40031.40032.41714.22883.38952.14681.07302.14683.38954.87074.8707
C52.44572.79482.42141.40031.38483.72723.86863.39382.15001.07352.13464.60184.0902
C61.42432.43372.79482.41711.38482.46213.40823.86833.38762.13211.07393.43822.7115
C71.40012.46213.72724.22883.72722.46212.68454.59145.30184.59142.68451.07271.0727
H82.15961.07392.13463.38953.86863.40822.68452.45394.27374.94224.29912.48873.7534
H93.41572.13211.07352.14683.39383.86834.59142.45392.47354.28074.94224.77575.5378
H103.90173.38762.15001.07302.15003.38765.30184.27372.47352.47354.27375.92805.9280
H113.41573.86833.39382.14681.07352.13214.59144.94224.28072.47352.45395.53784.7757
H122.15963.40823.86863.38952.13461.07392.68454.29914.94224.27372.45393.75342.4887
H132.15962.71154.09024.87074.60183.43821.07272.48874.77575.92805.53783.75341.8363
H142.15963.43824.60184.87074.09022.71151.07273.75345.53785.92804.77572.48871.8363

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 121.059 C1 C2 H8 118.975
C1 C6 C5 121.059 C1 C6 H12 118.975
C1 C7 H13 121.135 C1 C7 H14 121.135
C2 C1 C6 117.373 C2 C1 C7 121.314
C2 C3 C4 120.419 C2 C3 H9 119.752
C3 C2 H8 119.966 C3 C4 C5 119.672
C3 C4 H10 120.164 C4 C3 H9 119.830
C4 C5 C6 120.419 C4 C5 H11 119.830
C5 C1 C7 150.329 C5 C4 H10 120.164
C5 C6 H12 119.966 C6 C5 H11 119.752
H13 C7 H14 117.731
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HF/6-311+G(3df,2p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.632      
2 C -0.288      
3 C -0.236      
4 C -0.051      
5 C -0.236      
6 C -0.288      
7 C -0.336      
8 H 0.102      
9 H 0.116      
10 H 0.117      
11 H 0.116      
12 H 0.102      
13 H 0.126      
14 H 0.126      


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 -0.044 0.044
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -47.110 0.000 0.000
y 0.000 -37.566 0.000
z 0.000 0.000 -37.864
Traceless
 xyz
x -9.395 0.000 0.000
y 0.000 4.922 0.000
z 0.000 0.000 4.473
Polar
3z2-r28.947
x2-y2-9.544
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 7.334 0.000 0.000
y 0.000 11.541 0.000
z 0.000 0.000 14.777


<r2> (average value of r2) Å2
<r2> 190.242
(<r2>)1/2 13.793