return to home page Computational Chemistry Comparison and Benchmark DataBase Release 22 (May 2022) Standard Reference Database 101 National Institute of Standards and Technology
You are here: Calculated > Energy > Optimized > Energy

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

using model chemistry: PBEPBE/cc-pVTZ

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/cc-pVTZ
 hartrees
Energy at 0K-270.641559
Energy at 298.15K-270.648306
HF Energy-270.641559
Nuclear repulsion energy259.473366
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/cc-pVTZ
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 3125 3103 12.71      
2 A1 3106 3084 4.05      
3 A1 3091 3070 8.92      
4 A1 3081 3060 4.30      
5 A1 1563 1552 0.70      
6 A1 1467 1457 9.45      
7 A1 1441 1432 0.10      
8 A1 1271 1263 2.48      
9 A1 1154 1146 0.15      
10 A1 1014 1007 2.56      
11 A1 973 966 0.65      
12 A1 814 809 0.35      
13 A1 517 513 0.20      
14 A2 937 931 0.00      
15 A2 802 796 0.00      
16 A2 492 489 0.00      
17 A2 376 373 0.00      
18 B1 954 947 0.00      
19 B1 869 863 5.13      
20 B1 754 749 48.31      
21 B1 695 690 3.88      
22 B1 664 659 46.47      
23 B1 460 457 13.99      
24 B1 190 189 1.18      
25 B2 3177 3155 8.13      
26 B2 3111 3089 35.06      
27 B2 3093 3072 1.21      
28 B2 1534 1523 0.68      
29 B2 1435 1426 5.28      
30 B2 1338 1329 0.73      
31 B2 1302 1293 1.09      
32 B2 1142 1134 0.02      
33 B2 1086 1079 3.15      
34 B2 941 935 1.85      
35 B2 607 603 0.00      
36 B2 344 341 0.12      

Unscaled Zero Point Vibrational Energy (zpe) 24459.6 cm-1
Scaled (by 0.9931) Zero Point Vibrational Energy (zpe) 24290.9 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/cc-pVTZ
ABC
0.18421 0.08996 0.06044

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBE/cc-pVTZ

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 0.997
C2 0.000 1.219 0.252
C3 0.000 1.212 -1.134
C4 0.000 0.000 -1.840
C5 0.000 -1.212 -1.134
C6 0.000 -1.219 0.252
C7 0.000 0.000 2.401
H8 0.000 2.165 0.797
H9 0.000 2.157 -1.679
H10 0.000 0.000 -2.930
H11 0.000 -2.157 -1.679
H12 0.000 -2.165 0.797
H13 0.000 0.933 2.963
H14 0.000 -0.933 2.963

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 C7 H8 H9 H10 H11 H12 H13 H14
C11.42832.45122.83692.45121.42831.40412.17413.43733.92713.43732.17412.17642.1764
C21.42831.38562.42122.79832.43762.47051.09172.14713.40773.88953.42722.72603.4612
C32.45121.38561.40322.42482.79833.73672.15251.09122.16753.41373.89004.10614.6244
C42.83692.42121.40321.40322.42124.24103.41172.16341.09022.16343.41174.89284.8928
C52.45122.79832.42481.40321.38563.73673.89003.41372.16751.09122.15254.62444.1061
C61.42832.43762.79832.42121.38562.47053.42723.88953.40772.14711.09173.46122.7260
C71.40412.47053.73674.24103.73672.47052.69454.61535.33124.61532.69451.08941.0894
H82.17411.09172.15253.41173.89003.42722.69452.47584.31024.98124.32982.49203.7803
H93.43732.14711.09122.16343.41373.88954.61532.47582.49404.31494.98124.80085.5768
H103.92713.40772.16751.09022.16753.40775.33124.31022.49402.49404.31025.96675.9667
H113.43733.88953.41372.16341.09122.14714.61534.98124.31492.49402.47585.57684.8008
H122.17413.42723.89003.41172.15251.09172.69454.32984.98124.31022.47583.78032.4920
H132.17642.72604.10614.89284.62443.46121.08942.49204.80085.96675.57683.78031.8663
H142.17643.46124.62444.89284.10612.72601.08943.78035.57685.96674.80082.49201.8663

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 121.165 C1 C2 H8 118.642
C1 C6 C5 121.165 C1 C6 H12 118.642
C1 C7 H13 121.061 C1 C7 H14 121.061
C2 C1 C6 117.143 C2 C1 C7 121.428
C2 C3 C4 120.493 C2 C3 H9 119.732
C3 C2 H8 120.193 C3 C4 C5 119.541
C3 C4 H10 120.230 C4 C3 H9 119.775
C4 C5 C6 120.493 C4 C5 H11 119.775
C5 C1 C7 150.355 C5 C4 H10 120.230
C5 C6 H12 120.193 C6 C5 H11 119.732
H13 C7 H14 117.879
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.106      
2 C -0.102      
3 C -0.102      
4 C -0.104      
5 C -0.102      
6 C -0.102      
7 C -0.260      
8 H 0.087      
9 H 0.099      
10 H 0.100      
11 H 0.099      
12 H 0.087      
13 H 0.098      
14 H 0.098      


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 -0.140 0.140
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -46.113 0.000 0.000
y 0.000 -37.443 0.000
z 0.000 0.000 -37.904
Traceless
 xyz
x -8.440 0.000 0.000
y 0.000 4.565 0.000
z 0.000 0.000 3.875
Polar
3z2-r27.749
x2-y2-8.670
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 5.906 0.000 0.000
y 0.000 12.802 0.000
z 0.000 0.000 17.853


<r2> (average value of r2) Å2
<r2> 191.275
(<r2>)1/2 13.830