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

using model chemistry: B3LYP/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 B3LYP/6-31G*
 hartrees
Energy at 0K-270.915143
Energy at 298.15K-270.922017
HF Energy-270.915143
Nuclear repulsion energy259.634655
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 B3LYP/6-31G*
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 3212 3085 17.52      
2 A1 3195 3068 9.46      
3 A1 3180 3054 10.03      
4 A1 3173 3047 3.80      
5 A1 1617 1553 1.07      
6 A1 1524 1464 5.27      
7 A1 1515 1454 0.84      
8 A1 1298 1247 2.15      
9 A1 1197 1149 0.03      
10 A1 1045 1003 1.18      
11 A1 997 957 0.45      
12 A1 834 801 0.29      
13 A1 533 512 0.28      
14 A2 959 921 0.00      
15 A2 835 802 0.00      
16 A2 504 484 0.00      
17 A2 393 377 0.00      
18 B1 984 945 0.06      
19 B1 896 860 6.20      
20 B1 774 743 55.71      
21 B1 704 676 0.88      
22 B1 683 656 40.20      
23 B1 482 462 9.20      
24 B1 204 196 0.83      
25 B2 3265 3135 11.32      
26 B2 3200 3073 47.40      
27 B2 3183 3057 0.52      
28 B2 1596 1533 0.80      
29 B2 1490 1431 5.45      
30 B2 1365 1311 0.22      
31 B2 1347 1294 1.40      
32 B2 1186 1139 0.05      
33 B2 1127 1082 1.83      
34 B2 982 943 1.46      
35 B2 628 603 0.01      
36 B2 357 343 0.09      

Unscaled Zero Point Vibrational Energy (zpe) 25229.8 cm-1
Scaled (by 0.9603) Zero Point Vibrational Energy (zpe) 24228.2 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 B3LYP/6-31G*
ABC
0.18451 0.08997 0.06048

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/6-31G*

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 0.995
C2 0.000 1.218 0.252
C3 0.000 1.212 -1.134
C4 0.000 0.000 -1.840
C5 0.000 -1.212 -1.134
C6 0.000 -1.218 0.252
C7 0.000 0.000 2.402
H8 0.000 2.160 0.794
H9 0.000 2.154 -1.677
H10 0.000 0.000 -2.926
H11 0.000 -2.154 -1.677
H12 0.000 -2.160 0.794
H13 0.000 0.927 2.966
H14 0.000 -0.927 2.966

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 C7 H8 H9 H10 H11 H12 H13 H14
C11.42682.44962.83442.44961.42681.40692.16983.43173.92063.43172.16982.17812.1781
C21.42681.38602.42052.79772.43642.47091.08712.14383.40333.88453.42192.72913.4593
C32.44961.38601.40252.42412.79773.73762.14871.08692.16333.40913.88484.10944.6242
C42.83442.42051.40251.40252.42054.24133.40652.15971.08622.15973.40654.89384.8938
C52.44962.79772.42411.40251.38603.73763.88483.40912.16331.08692.14874.62424.1094
C61.42682.43642.79772.42051.38602.47093.42193.88453.40332.14381.08713.45932.7291
C71.40692.47093.73764.24133.73762.47092.69294.61245.32754.61242.69291.08531.0853
H82.16981.08712.14873.40653.88483.42192.69292.47124.30184.97174.32092.49713.7749
H93.43172.14381.08692.15973.40913.88454.61242.47122.48944.30714.97174.80185.5718
H103.92063.40332.16331.08622.16333.40335.32754.30182.48942.48944.30185.96395.9639
H113.43173.88453.40912.15971.08692.14384.61244.97174.30712.48942.47125.57184.8018
H122.16983.42193.88483.40652.14871.08712.69294.32094.97174.30182.47123.77492.4971
H132.17812.72914.10944.89384.62423.45931.08532.49714.80185.96395.57183.77491.8547
H142.17813.45934.62424.89384.10942.72911.08533.77495.57185.96394.80182.49711.8547

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 121.119 C1 C2 H8 118.713
C1 C6 C5 121.119 C1 C6 H12 118.713
C1 C7 H13 121.299 C1 C7 H14 121.299
C2 C1 C6 117.255 C2 C1 C7 121.373
C2 C3 C4 120.462 C2 C3 H9 119.723
C3 C2 H8 120.168 C3 C4 C5 119.584
C3 C4 H10 120.208 C4 C3 H9 119.815
C4 C5 C6 120.462 C4 C5 H11 119.815
C5 C1 C7 150.344 C5 C4 H10 120.208
C5 C6 H12 120.168 C6 C5 H11 119.723
H13 C7 H14 117.402
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/6-31G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.230      
2 C -0.186      
3 C -0.125      
4 C -0.135      
5 C -0.125      
6 C -0.186      
7 C -0.408      
8 H 0.127      
9 H 0.130      
10 H 0.130      
11 H 0.130      
12 H 0.127      
13 H 0.146      
14 H 0.146      


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 -0.134 0.134
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -45.085 0.000 0.000
y 0.000 -36.799 0.000
z 0.000 0.000 -37.150
Traceless
 xyz
x -8.110 0.000 0.000
y 0.000 4.318 0.000
z 0.000 0.000 3.792
Polar
3z2-r27.584
x2-y2-8.286
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.600 0.000 0.000
y 0.000 11.442 0.000
z 0.000 0.000 15.894


<r2> (average value of r2) Å2
<r2> 190.629
(<r2>)1/2 13.807