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

using model chemistry: B3LYP/CEP-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/CEP-31G
 hartrees
Energy at 0K-43.638962
Energy at 298.15K-43.645912
HF Energy-43.638962
Nuclear repulsion energy129.214372
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/CEP-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 3210 3109 24.62      
2 A1 3182 3081 19.27      
3 A1 3156 3057 5.66      
4 A1 3150 3050 13.29      
5 A1 1596 1545 0.78      
6 A1 1511 1463 9.03      
7 A1 1493 1446 4.07      
8 A1 1289 1248 3.28      
9 A1 1194 1156 0.13      
10 A1 1028 995 3.31      
11 A1 983 952 0.28      
12 A1 816 790 0.46      
13 A1 521 505 0.32      
14 A2 1022 990 0.00      
15 A2 880 852 0.00      
16 A2 507 491 0.00      
17 A2 392 380 0.00      
18 B1 1032 999 1.32      
19 B1 961 930 31.33      
20 B1 832 806 169.45      
21 B1 769 744 3.42      
22 B1 689 667 53.68      
23 B1 481 466 20.33      
24 B1 208 201 1.80      
25 B2 3252 3149 24.77      
26 B2 3192 3091 61.95      
27 B2 3164 3064 0.01      
28 B2 1577 1528 1.09      
29 B2 1466 1419 6.89      
30 B2 1373 1330 0.39      
31 B2 1353 1310 0.36      
32 B2 1181 1144 0.03      
33 B2 1114 1079 5.74      
34 B2 972 942 1.18      
35 B2 615 595 0.02      
36 B2 345 334 0.10      

Unscaled Zero Point Vibrational Energy (zpe) 25251.4 cm-1
Scaled (by 0.9684) Zero Point Vibrational Energy (zpe) 24453.4 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 B3LYP/CEP-31G
ABC
0.17775 0.08688 0.05836

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

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.009
C2 0.000 1.244 0.259
C3 0.000 1.236 -1.155
C4 0.000 0.000 -1.874
C5 0.000 -1.236 -1.155
C6 0.000 -1.244 0.259
C7 0.000 0.000 2.445
H8 0.000 2.190 0.806
H9 0.000 2.183 -1.703
H10 0.000 0.000 -2.967
H11 0.000 -2.183 -1.703
H12 0.000 -2.190 0.806
H13 0.000 0.935 3.013
H14 0.000 -0.935 3.013

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 C7 H8 H9 H10 H11 H12 H13 H14
C11.45242.49262.88292.49261.45241.43612.19973.48123.97593.48122.19972.21142.2114
C21.45241.41412.46862.85482.48722.51531.09332.17483.45703.94813.47712.77133.5119
C32.49261.41411.42992.47272.85483.80682.18071.09342.19323.46283.94814.17904.7000
C42.88292.46861.42991.42992.46864.31893.46072.18951.09312.18953.46074.97534.9753
C52.49262.85482.47271.42991.41413.80683.94813.46282.19321.09342.18074.70004.1790
C61.45242.48722.85482.46861.41412.51533.47713.94813.45702.17481.09333.51192.7713
C71.43612.51533.80684.31893.80682.51532.73594.68725.41204.68722.73591.09431.0943
H82.19971.09332.18073.46073.94813.47712.73592.50844.36225.04154.38052.53893.8265
H93.48122.17481.09342.18953.46283.94814.68722.50842.52254.36575.04154.87785.6534
H103.97593.45702.19321.09312.19323.45705.41204.36222.52252.52254.36226.05246.0524
H113.48123.94813.46282.18951.09342.17484.68725.04154.36572.52252.50845.65344.8778
H122.19973.47713.94813.46072.18071.09332.73594.38055.04154.36222.50843.82652.5389
H132.21142.77134.17904.97534.70003.51191.09432.53894.87786.05245.65343.82651.8710
H142.21143.51194.70004.97534.17902.77131.09433.82655.65346.05244.87782.53891.8710

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 120.814 C1 C2 H8 118.876
C1 C6 C5 120.814 C1 C6 H12 118.876
C1 C7 H13 121.251 C1 C7 H14 121.251
C2 C1 C6 117.787 C2 C1 C7 121.107
C2 C3 C4 120.453 C2 C3 H9 119.751
C3 C2 H8 120.310 C3 C4 C5 119.679
C3 C4 H10 120.161 C4 C3 H9 119.796
C4 C5 C6 120.453 C4 C5 H11 119.796
C5 C1 C7 150.264 C5 C4 H10 120.161
C5 C6 H12 120.310 C6 C5 H11 119.751
H13 C7 H14 117.498
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/CEP-31G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.397      
2 C -0.195      
3 C -0.368      
4 C -0.252      
5 C -0.368      
6 C -0.195      
7 C -0.869      
8 H 0.303      
9 H 0.274      
10 H 0.270      
11 H 0.274      
12 H 0.303      
13 H 0.213      
14 H 0.213      


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 -0.159 0.159
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -46.770 0.000 0.000
y 0.000 -36.210 0.000
z 0.000 0.000 -36.917
Traceless
 xyz
x -10.207 0.000 0.000
y 0.000 5.634 0.000
z 0.000 0.000 4.573
Polar
3z2-r29.146
x2-y2-10.560
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 4.356 0.000 0.000
y 0.000 11.501 0.000
z 0.000 0.000 16.499


<r2> (average value of r2) Å2
<r2> 157.736
(<r2>)1/2 12.559