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

using model chemistry: PBEPBE/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 PBEPBE/6-31G
 hartrees
Energy at 0K-270.498298
Energy at 298.15K-270.505138
HF Energy-270.498298
Nuclear repulsion energy257.837626
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/6-31G
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 3160 3117 18.74      
2 A1 3138 3094 7.02      
3 A1 3121 3078 8.69      
4 A1 3111 3068 6.57      
5 A1 1583 1561 1.08      
6 A1 1495 1475 8.37      
7 A1 1480 1460 0.00      
8 A1 1301 1283 3.67      
9 A1 1193 1176 0.05      
10 A1 1028 1014 1.67      
11 A1 990 976 0.38      
12 A1 823 812 0.34      
13 A1 531 523 0.24      
14 A2 950 937 0.00      
15 A2 822 810 0.00      
16 A2 498 491 0.00      
17 A2 385 380 0.00      
18 B1 977 963 0.09      
19 B1 886 874 9.94      
20 B1 776 765 78.71      
21 B1 715 706 1.12      
22 B1 677 667 46.80      
23 B1 471 464 12.88      
24 B1 198 195 1.16      
25 B2 3214 3170 12.56      
26 B2 3144 3100 48.43      
27 B2 3123 3080 1.17      
28 B2 1553 1531 0.94      
29 B2 1461 1440 5.82      
30 B2 1367 1348 0.57      
31 B2 1342 1324 1.57      
32 B2 1183 1167 0.02      
33 B2 1112 1097 2.92      
34 B2 964 951 1.14      
35 B2 625 616 0.00      
36 B2 353 349 0.18      

Unscaled Zero Point Vibrational Energy (zpe) 24872.9 cm-1
Scaled (by 0.9862) Zero Point Vibrational Energy (zpe) 24529.7 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/6-31G
ABC
0.18184 0.08878 0.05966

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

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.003
C2 0.000 1.227 0.254
C3 0.000 1.221 -1.142
C4 0.000 0.000 -1.853
C5 0.000 -1.221 -1.142
C6 0.000 -1.227 0.254
C7 0.000 0.000 2.417
H8 0.000 2.176 0.801
H9 0.000 2.168 -1.689
H10 0.000 0.000 -2.946
H11 0.000 -2.168 -1.689
H12 0.000 -2.176 0.801
H13 0.000 0.934 2.983
H14 0.000 -0.934 2.983

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 C7 H8 H9 H10 H11 H12 H13 H14
C11.43792.46782.85572.46781.43791.41342.18493.45653.94893.45652.18492.18962.1896
C21.43791.39582.43832.81822.45502.48651.09462.15883.42743.91233.44672.74493.4816
C32.46781.39581.41272.44162.81823.76182.16491.09412.17843.43283.91284.13494.6540
C42.85572.43831.41271.41272.43834.26913.43172.17431.09332.17433.43174.92534.9253
C52.46782.81822.44161.41271.39583.76183.91283.43282.17841.09412.16494.65404.1349
C61.43792.45502.81822.43831.39582.48653.44673.91233.42742.15881.09463.48162.7449
C71.41342.48653.76184.26913.76182.48652.70964.64285.36244.64282.70961.09281.0928
H82.18491.09462.16493.43173.91283.44672.70962.49034.33305.00694.35112.51033.7989
H93.45652.15881.09412.17433.43283.91234.64282.49032.50624.33635.00694.83245.6085
H103.94893.42742.17841.09332.17843.42745.36244.33302.50622.50624.33306.00236.0023
H113.45653.91233.43282.17431.09412.15884.64285.00694.33632.50622.49035.60854.8324
H122.18493.44673.91283.43172.16491.09462.70964.35115.00694.33302.49033.79892.5103
H132.18962.74494.13494.92534.65403.48161.09282.51034.83246.00235.60853.79891.8686
H142.18963.48164.65404.92534.13492.74491.09283.79895.60856.00234.83242.51031.8686

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 121.113 C1 C2 H8 118.618
C1 C6 C5 121.113 C1 C6 H12 118.618
C1 C7 H13 121.243 C1 C7 H14 121.243
C2 C1 C6 117.223 C2 C1 C7 121.388
C2 C3 C4 120.489 C2 C3 H9 119.738
C3 C2 H8 120.269 C3 C4 C5 119.571
C3 C4 H10 120.214 C4 C3 H9 119.773
C4 C5 C6 120.489 C4 C5 H11 119.773
C5 C1 C7 150.351 C5 C4 H10 120.214
C5 C6 H12 120.269 C6 C5 H11 119.738
H13 C7 H14 117.513
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/6-31G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.118      
2 C -0.155      
3 C -0.140      
4 C -0.133      
5 C -0.140      
6 C -0.155      
7 C -0.355      
8 H 0.134      
9 H 0.137      
10 H 0.137      
11 H 0.137      
12 H 0.134      
13 H 0.141      
14 H 0.141      


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 -0.124 0.124
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -45.576 0.000 0.000
y 0.000 -36.674 0.000
z 0.000 0.000 -36.975
Traceless
 xyz
x -8.752 0.000 0.000
y 0.000 4.602 0.000
z 0.000 0.000 4.150
Polar
3z2-r28.299
x2-y2-8.902
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.323 0.000 0.000
y 0.000 11.611 0.000
z 0.000 0.000 16.300


<r2> (average value of r2) Å2
<r2> 192.950
(<r2>)1/2 13.891