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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-43.697609
Energy at 298.15K-43.704424
HF Energy-43.697609
Nuclear repulsion energy129.615647
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 3192 3082 16.31      
2 A1 3171 3062 14.48      
3 A1 3151 3043 13.41      
4 A1 3147 3039 0.01      
5 A1 1603 1548 0.54      
6 A1 1507 1455 6.03      
7 A1 1484 1434 2.57      
8 A1 1280 1236 2.01      
9 A1 1170 1130 0.23      
10 A1 1028 992 3.44      
11 A1 973 940 0.23      
12 A1 817 789 0.46      
13 A1 512 494 0.33      
14 A2 996 961 0.00      
15 A2 860 830 0.00      
16 A2 503 486 0.00      
17 A2 385 372 0.00      
18 B1 1002 968 0.71      
19 B1 933 901 24.46      
20 B1 799 771 150.68      
21 B1 736 711 0.61      
22 B1 672 649 47.44      
23 B1 470 454 18.00      
24 B1 204 197 1.60      
25 B2 3240 3128 15.71      
26 B2 3179 3070 43.62      
27 B2 3156 3048 0.19      
28 B2 1583 1528 0.81      
29 B2 1463 1413 4.68      
30 B2 1370 1323 0.49      
31 B2 1326 1280 0.26      
32 B2 1153 1113 0.02      
33 B2 1102 1065 5.08      
34 B2 963 930 1.43      
35 B2 602 582 0.00      
36 B2 338 326 0.07      

Unscaled Zero Point Vibrational Energy (zpe) 25033.4 cm-1
Scaled (by 0.9657) Zero Point Vibrational Energy (zpe) 24174.8 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
0.17896 0.08754 0.05879

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 1.005
C2 0.000 1.239 0.258
C3 0.000 1.231 -1.150
C4 0.000 0.000 -1.866
C5 0.000 -1.231 -1.150
C6 0.000 -1.239 0.258
C7 0.000 0.000 2.435
H8 0.000 2.187 0.805
H9 0.000 2.179 -1.698
H10 0.000 0.000 -2.961
H11 0.000 -2.179 -1.698
H12 0.000 -2.187 0.805
H13 0.000 0.936 3.003
H14 0.000 -0.936 3.003

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 C7 H8 H9 H10 H11 H12 H13 H14
C11.44672.48252.87172.48251.44671.43012.19583.47233.96593.47232.19582.20602.2060
C21.44671.40822.45912.84342.47742.50511.09452.17043.44873.93813.46872.76173.5019
C32.48251.40821.42462.46302.84343.79132.17611.09472.18953.45463.93784.16384.6847
C42.87172.45911.42461.42462.45914.30183.45222.18591.09422.18593.45224.95854.9585
C52.48252.84342.46301.42461.40823.79133.93783.45462.18951.09472.17614.68474.1638
C61.44672.47742.84342.45911.40822.50513.46873.93813.44872.17041.09453.50192.7617
C71.43012.50513.79134.30183.79132.50512.72764.67275.39604.67272.72761.09441.0944
H82.19581.09452.17613.45223.93783.46872.72762.50294.35445.03264.37332.52913.8185
H93.47232.17041.09472.18593.45463.93814.67272.50292.51874.35885.03264.86265.6394
H103.96593.44872.18951.09422.18953.44875.39604.35442.51872.51874.35446.03666.0366
H113.47233.93813.45462.18591.09472.17044.67275.03264.35882.51872.50295.63944.8626
H122.19583.46873.93783.45222.17611.09452.72764.37335.03264.35442.50293.81852.5291
H132.20602.76174.16384.95854.68473.50191.09442.52914.86266.03665.63943.81851.8715
H142.20603.50194.68474.95854.16382.76171.09443.81855.63946.03664.86262.52911.8715

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 120.811 C1 C2 H8 118.910
C1 C6 C5 120.811 C1 C6 H12 118.910
C1 C7 H13 121.239 C1 C7 H14 121.239
C2 C1 C6 117.792 C2 C1 C7 121.104
C2 C3 C4 120.471 C2 C3 H9 119.726
C3 C2 H8 120.279 C3 C4 C5 119.644
C3 C4 H10 120.178 C4 C3 H9 119.804
C4 C5 C6 120.471 C4 C5 H11 119.804
C5 C1 C7 150.260 C5 C4 H10 120.178
C5 C6 H12 120.279 C6 C5 H11 119.726
H13 C7 H14 117.523
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 0.436      
2 C -0.216      
3 C -0.396      
4 C -0.278      
5 C -0.396      
6 C -0.216      
7 C -0.948      
8 H 0.326      
9 H 0.297      
10 H 0.293      
11 H 0.297      
12 H 0.326      
13 H 0.237      
14 H 0.237      


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 -0.162 0.162
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -46.378 0.000 0.000
y 0.000 -35.867 0.000
z 0.000 0.000 -36.565
Traceless
 xyz
x -10.162 0.000 0.000
y 0.000 5.605 0.000
z 0.000 0.000 4.557
Polar
3z2-r29.114
x2-y2-10.511
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 4.713 0.000 0.000
y 0.000 11.656 0.000
z 0.000 0.000 16.719


<r2> (average value of r2) Å2
<r2> 156.638
(<r2>)1/2 12.515