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

using model chemistry: PBEPBE/6-311G**

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 2B1
Energy calculated at PBEPBE/6-311G**
 hartrees
Energy at 0K-270.615007
Energy at 298.15K-270.621725
HF Energy-270.615007
Nuclear repulsion energy258.951938
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 PBEPBE/6-311G**
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 3128 3100 13.73      
2 A1 3109 3081 4.63      
3 A1 3094 3066 9.00      
4 A1 3083 3055 4.93      
5 A1 1565 1551 0.72      
6 A1 1466 1453 9.49      
7 A1 1438 1425 0.07      
8 A1 1271 1259 3.34      
9 A1 1154 1143 0.15      
10 A1 1013 1004 2.69      
11 A1 969 960 0.51      
12 A1 813 806 0.37      
13 A1 518 513 0.23      
14 A2 931 922 0.00      
15 A2 797 790 0.00      
16 A2 490 485 0.00      
17 A2 375 371 0.00      
18 B1 949 941 0.00      
19 B1 862 854 5.02      
20 B1 748 741 52.00      
21 B1 686 680 3.88      
22 B1 661 655 52.97      
23 B1 459 455 15.46      
24 B1 190 188 1.36      
25 B2 3181 3152 9.13      
26 B2 3114 3086 37.93      
27 B2 3097 3068 1.13      
28 B2 1535 1521 0.69      
29 B2 1433 1420 5.51      
30 B2 1340 1328 0.95      
31 B2 1297 1285 1.00      
32 B2 1142 1132 0.02      
33 B2 1086 1076 3.70      
34 B2 940 931 1.67      
35 B2 607 602 0.00      
36 B2 345 342 0.16      

Unscaled Zero Point Vibrational Energy (zpe) 24442.6 cm-1
Scaled (by 0.9909) Zero Point Vibrational Energy (zpe) 24220.2 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 PBEPBE/6-311G**
ABC
0.18345 0.08960 0.06020

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBE/6-311G**

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 0.999
C2 0.000 1.221 0.253
C3 0.000 1.215 -1.136
C4 0.000 0.000 -1.844
C5 0.000 -1.215 -1.136
C6 0.000 -1.221 0.253
C7 0.000 0.000 2.406
H8 0.000 2.169 0.798
H9 0.000 2.161 -1.682
H10 0.000 0.000 -2.936
H11 0.000 -2.161 -1.682
H12 0.000 -2.169 0.798
H13 0.000 0.935 2.969
H14 0.000 -0.935 2.969

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 C7 H8 H9 H10 H11 H12 H13 H14
C11.43142.45632.84262.45631.43141.40702.17843.44393.93463.44392.17842.18042.1804
C21.43141.38852.42632.80432.44292.47551.09342.15123.41433.89723.43422.73133.4679
C32.45631.38851.40612.42982.80433.74432.15651.09292.17153.42023.89774.11434.6335
C42.84262.42631.40611.40612.42634.24963.41822.16741.09202.16743.41824.90254.9025
C52.45632.80432.42981.40611.38853.74433.89773.42022.17151.09292.15654.63354.1143
C61.43142.44292.80432.42631.38852.47553.43423.89723.41432.15121.09343.46792.7313
C71.40702.47553.74434.24963.74432.47552.70014.62435.34164.62432.70011.09111.0911
H82.17841.09342.15653.41823.89773.43422.70012.48034.31814.99054.33832.49743.7876
H93.44392.15121.09292.16743.42023.89724.62432.48032.49854.32284.99054.81025.5873
H103.93463.41432.17151.09202.17153.41435.34164.31812.49852.49854.31815.97815.9781
H113.44393.89723.42022.16741.09292.15124.62434.99054.32282.49852.48035.58734.8102
H122.17843.43423.89773.41822.15651.09342.70014.33834.99054.31812.48033.78762.4974
H132.18042.73134.11434.90254.63353.46791.09112.49744.81025.97815.58733.78761.8692
H142.18043.46794.63354.90254.11432.73131.09113.78765.58735.97814.81022.49741.8692

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 121.151 C1 C2 H8 118.660
C1 C6 C5 121.151 C1 C6 H12 118.660
C1 C7 H13 121.066 C1 C7 H14 121.066
C2 C1 C6 117.157 C2 C1 C7 121.421
C2 C3 C4 120.497 C2 C3 H9 119.728
C3 C2 H8 120.190 C3 C4 C5 119.546
C3 C4 H10 120.227 C4 C3 H9 119.774
C4 C5 C6 120.497 C4 C5 H11 119.774
C5 C1 C7 150.355 C5 C4 H10 120.227
C5 C6 H12 120.190 C6 C5 H11 119.728
H13 C7 H14 117.867
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/6-311G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.097      
2 C -0.065      
3 C -0.100      
4 C -0.091      
5 C -0.100      
6 C -0.065      
7 C -0.173      
8 H 0.089      
9 H 0.096      
10 H 0.098      
11 H 0.096      
12 H 0.089      
13 H 0.112      
14 H 0.112      


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 -0.127 0.127
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -46.283 0.000 0.000
y 0.000 -37.101 0.000
z 0.000 0.000 -37.483
Traceless
 xyz
x -8.991 0.000 0.000
y 0.000 4.782 0.000
z 0.000 0.000 4.209
Polar
3z2-r28.418
x2-y2-9.182
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 4.948 0.000 0.000
y 0.000 12.334 0.000
z 0.000 0.000 17.319


<r2> (average value of r2) Å2
<r2> 191.821
(<r2>)1/2 13.850