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

using model chemistry: ROHF/6-31G(2df,p)

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 2B1
Energy calculated at ROHF/6-31G(2df,p)
 hartrees
Energy at 0K-269.141307
Energy at 298.15K-269.148371
HF Energy-269.141307
Nuclear repulsion energy261.815384
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 ROHF/6-31G(2df,p)
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 3353 3353 16.84      
2 A1 3332 3332 17.18      
3 A1 3316 3316 13.84      
4 A1 3312 3312 0.71      
5 A1 1776 1776 1.67      
6 A1 1645 1645 15.97      
7 A1 1599 1599 0.04      
8 A1 1326 1326 0.18      
9 A1 1285 1285 0.42      
10 A1 1120 1120 0.69      
11 A1 1078 1078 0.44      
12 A1 874 874 0.37      
13 A1 568 568 0.69      
14 A2 1077 1077 0.00      
15 A2 948 948 0.00      
16 A2 459 459 0.00      
17 A2 341 341 0.00      
18 B1 1105 1105 0.17      
19 B1 1018 1018 3.20      
20 B1 846 846 49.49      
21 B1 773 773 20.20      
22 B1 550 550 0.03      
23 B1 455 455 44.81      
24 B1 235 235 2.13      
25 B2 3418 3418 9.08      
26 B2 3339 3339 50.86      
27 B2 3320 3320 0.92      
28 B2 1755 1755 1.05      
29 B2 1600 1600 11.04      
30 B2 1464 1464 0.91      
31 B2 1320 1320 0.19      
32 B2 1209 1209 0.01      
33 B2 1171 1171 2.49      
34 B2 1034 1034 1.12      
35 B2 676 676 0.01      
36 B2 374 374 0.16      

Unscaled Zero Point Vibrational Energy (zpe) 26532.6 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 26532.6 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 ROHF/6-31G(2df,p)
ABC
0.19013 0.09046 0.06130

See section I.F.4 to change rotational constant units
Geometric Data calculated at ROHF/6-31G(2df,p)

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 0.967
C2 0.000 1.197 0.249
C3 0.000 1.195 -1.131
C4 0.000 0.000 -1.828
C5 0.000 -1.195 -1.131
C6 0.000 -1.197 0.249
C7 0.000 0.000 2.413
H8 0.000 2.131 0.783
H9 0.000 2.129 -1.664
H10 0.000 0.000 -2.903
H11 0.000 -2.129 -1.664
H12 0.000 -2.131 0.783
H13 0.000 0.921 2.964
H14 0.000 -0.921 2.964

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 C7 H8 H9 H10 H11 H12 H13 H14
C11.39522.41402.79452.41401.39521.44662.13903.38483.86983.38482.13902.19892.1989
C21.39521.37982.39712.76142.39322.47291.07622.12883.37183.83723.37022.72843.4425
C32.41401.37981.38392.39082.76143.74012.13001.07572.13803.36733.83764.10334.6087
C42.79452.39711.38391.38392.39714.24123.37012.13561.07532.13563.37014.87914.8791
C52.41402.76142.39081.38391.37983.74013.83763.36732.13801.07572.13004.60874.1033
C61.39522.39322.76142.39711.37982.47293.37023.83723.37182.12881.07623.44252.7284
C71.44662.47293.74014.24123.74012.47292.68324.60025.31644.60022.68321.07261.0726
H82.13901.07622.13003.37013.83763.37022.68322.44744.25784.91334.26222.49403.7508
H93.38482.12881.07572.13563.36733.83724.60022.44742.46344.25874.91334.78325.5427
H103.86983.37182.13801.07532.13803.37185.31644.25782.46342.46344.25785.93855.9385
H113.38483.83723.36732.13561.07572.12884.60024.91334.25872.46342.44745.54274.7832
H122.13903.37023.83763.37012.13001.07622.68324.26224.91334.25782.44743.75082.4940
H132.19892.72844.10334.87914.60873.44251.07262.49404.78325.93855.54273.75081.8414
H142.19893.44254.60874.87914.10332.72841.07263.75085.54275.93854.78322.49401.8414

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 120.896 C1 C2 H8 119.320
C1 C6 C5 120.896 C1 C6 H12 119.320
C1 C7 H13 120.865 C1 C7 H14 120.865
C2 C1 C6 118.107 C2 C1 C7 120.946
C2 C3 C4 120.306 C2 C3 H9 119.701
C3 C2 H8 119.784 C3 C4 C5 119.489
C3 C4 H10 120.255 C4 C3 H9 119.993
C4 C5 C6 120.306 C4 C5 H11 119.993
C5 C1 C7 150.318 C5 C4 H10 120.255
C5 C6 H12 119.784 C6 C5 H11 119.701
H13 C7 H14 118.271
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at ROHF/6-31G(2df,p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.202      
2 C -0.199      
3 C -0.138      
4 C -0.166      
5 C -0.138      
6 C -0.199      
7 C -0.391      
8 H 0.141      
9 H 0.144      
10 H 0.145      
11 H 0.144      
12 H 0.141      
13 H 0.157      
14 H 0.157      


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 0.082 0.082
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -45.768 0.000 0.000
y 0.000 -36.765 -0.001
z 0.000 -0.001 -36.961
Traceless
 xyz
x -8.905 0.000 0.000
y 0.000 4.600 -0.001
z 0.000 -0.001 4.305
Polar
3z2-r28.611
x2-y2-9.003
xy0.000
xz0.000
yz-0.001


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


<r2> (average value of r2) Å2
<r2> 188.496
(<r2>)1/2 13.729