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

using model chemistry: B3LYP/CEP-121G*

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-121G*
 hartrees
Energy at 0K-43.725349
Energy at 298.15K-43.732214
HF Energy-43.725349
Nuclear repulsion energy130.598143
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-121G*
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 3179 3081 24.66      
2 A1 3160 3063 10.91      
3 A1 3145 3049 12.06      
4 A1 3129 3033 10.54      
5 A1 1577 1528 0.92      
6 A1 1502 1456 4.14      
7 A1 1486 1440 4.23      
8 A1 1263 1225 1.23      
9 A1 1170 1134 0.12      
10 A1 1018 987 1.84      
11 A1 977 947 0.79      
12 A1 813 788 0.33      
13 A1 522 506 0.25      
14 A2 956 927 0.00      
15 A2 841 816 0.00      
16 A2 503 487 0.00      
17 A2 390 378 0.00      
18 B1 990 960 1.16      
19 B1 911 883 17.24      
20 B1 797 772 77.17      
21 B1 723 701 0.31      
22 B1 683 662 52.69      
23 B1 483 468 14.45      
24 B1 203 196 1.29      
25 B2 3228 3129 17.30      
26 B2 3165 3068 63.95      
27 B2 3148 3051 1.80      
28 B2 1559 1512 0.83      
29 B2 1457 1412 5.04      
30 B2 1338 1297 0.39      
31 B2 1312 1272 0.81      
32 B2 1157 1121 0.05      
33 B2 1102 1068 2.45      
34 B2 966 937 2.00      
35 B2 614 596 0.00      
36 B2 352 341 0.10      

Unscaled Zero Point Vibrational Energy (zpe) 24907.6 cm-1
Scaled (by 0.9694) Zero Point Vibrational Energy (zpe) 24145.5 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-121G*
ABC
0.18212 0.08880 0.05969

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/CEP-121G*

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.000
C2 0.000 1.227 0.254
C3 0.000 1.220 -1.141
C4 0.000 0.000 -1.853
C5 0.000 -1.220 -1.141
C6 0.000 -1.227 0.254
C7 0.000 0.000 2.419
H8 0.000 2.172 0.796
H9 0.000 2.165 -1.684
H10 0.000 0.000 -2.942
H11 0.000 -2.165 -1.684
H12 0.000 -2.172 0.796
H13 0.000 0.931 2.983
H14 0.000 -0.931 2.983

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 C7 H8 H9 H10 H11 H12 H13 H14
C11.43582.46512.85322.46511.43581.41812.18173.44913.94213.44912.18172.18972.1897
C21.43581.39562.43802.81712.45332.48771.08992.15393.42323.90663.44172.74433.4781
C32.46511.39561.41272.44092.81713.76332.15891.08962.17503.42873.90704.13404.6512
C42.85322.43801.41271.41272.43804.27133.42592.17151.08892.17153.42594.92404.9240
C52.46512.81712.44091.41271.39563.76333.90703.42872.17501.08962.15894.65124.1340
C61.43582.45332.81712.43801.39562.48773.44173.90663.42322.15391.08993.47812.7443
C71.41812.48773.76334.27133.76332.48772.71104.63925.36024.63922.71101.08821.0882
H82.18171.08992.15893.42593.90703.44172.71102.48094.32334.99664.34432.51403.7956
H93.44912.15391.08962.17153.42873.90664.63922.48092.50354.33004.99664.82745.6003
H103.94213.42322.17501.08892.17503.42325.36024.32332.50352.50354.32335.99685.9968
H113.44913.90663.42872.17151.08962.15394.63924.99664.33002.50352.48095.60034.8274
H122.18173.44173.90703.42592.15891.08992.71104.34434.99664.32332.48093.79562.5140
H132.18972.74434.13404.92404.65123.47811.08822.51404.82745.99685.60033.79561.8613
H142.18973.47814.65124.92404.13402.74431.08823.79565.60035.99684.82742.51401.8613

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 121.060 C1 C2 H8 118.855
C1 C6 C5 121.060 C1 C6 H12 118.855
C1 C7 H13 121.215 C1 C7 H14 121.215
C2 C1 C6 117.372 C2 C1 C7 121.314
C2 C3 C4 120.492 C2 C3 H9 119.646
C3 C2 H8 120.086 C3 C4 C5 119.523
C3 C4 H10 120.239 C4 C3 H9 119.861
C4 C5 C6 120.492 C4 C5 H11 119.861
C5 C1 C7 150.325 C5 C4 H10 120.239
C5 C6 H12 120.086 C6 C5 H11 119.646
H13 C7 H14 117.570
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/CEP-121G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.711      
2 C -0.378      
3 C -0.190      
4 C -0.226      
5 C -0.190      
6 C -0.378      
7 C -0.747      
8 H 0.218      
9 H 0.201      
10 H 0.201      
11 H 0.201      
12 H 0.218      
13 H 0.180      
14 H 0.180      


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 -0.145 0.145
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -46.597 0.000 0.000
y 0.000 -36.928 0.000
z 0.000 0.000 -37.450
Traceless
 xyz
x -9.408 0.000 0.000
y 0.000 5.096 0.000
z 0.000 0.000 4.312
Polar
3z2-r28.625
x2-y2-9.669
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 5.390 0.000 0.000
y 0.000 12.430 0.000
z 0.000 0.000 17.270


<r2> (average value of r2) Å2
<r2> 155.139
(<r2>)1/2 12.455