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: LSDA/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 LSDA/cc-pVTZ
 hartrees
Energy at 0K-269.444937
Energy at 298.15K-269.451727
HF Energy-269.444937
Nuclear repulsion energy261.703499
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 LSDA/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 3091 4.54      
2 A1 3107 3073 0.84      
3 A1 3093 3059 4.56      
4 A1 3077 3044 1.09      
5 A1 1600 1583 0.20      
6 A1 1492 1476 14.36      
7 A1 1426 1410 0.34      
8 A1 1291 1277 6.38      
9 A1 1145 1132 0.32      
10 A1 1027 1016 4.01      
11 A1 983 972 0.57      
12 A1 830 821 0.52      
13 A1 520 515 0.17      
14 A2 944 934 0.00      
15 A2 800 791 0.00      
16 A2 509 503 0.00      
17 A2 379 375 0.00      
18 B1 961 951 0.01      
19 B1 874 865 7.51      
20 B1 770 761 51.86      
21 B1 710 703 4.39      
22 B1 664 657 52.97      
23 B1 459 454 16.42      
24 B1 190 188 1.33      
25 B2 3179 3145 3.16      
26 B2 3112 3078 14.77      
27 B2 3094 3061 0.93      
28 B2 1564 1547 0.65      
29 B2 1454 1438 5.65      
30 B2 1388 1373 2.90      
31 B2 1290 1276 0.67      
32 B2 1131 1119 0.00      
33 B2 1085 1073 5.41      
34 B2 937 927 1.91      
35 B2 610 603 0.00      
36 B2 341 337 0.11      

Unscaled Zero Point Vibrational Energy (zpe) 24580.7 cm-1
Scaled (by 0.9891) Zero Point Vibrational Energy (zpe) 24312.7 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 LSDA/cc-pVTZ
ABC
0.18709 0.09187 0.06161

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

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 0.987
C2 0.000 1.208 0.251
C3 0.000 1.202 -1.122
C4 0.000 0.000 -1.821
C5 0.000 -1.202 -1.122
C6 0.000 -1.208 0.251
C7 0.000 0.000 2.373
H8 0.000 2.153 0.800
H9 0.000 2.147 -1.668
H10 0.000 0.000 -2.912
H11 0.000 -2.147 -1.668
H12 0.000 -2.153 0.800
H13 0.000 0.936 2.933
H14 0.000 -0.936 2.933

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 C7 H8 H9 H10 H11 H12 H13 H14
C11.41462.42672.80742.42671.41461.38632.16133.41453.89883.41452.16132.15962.1596
C21.41461.37242.39822.77342.41642.44191.09312.13643.38593.86563.40602.69583.4338
C32.42671.37241.39042.40362.77343.69542.14431.09222.15653.39363.86644.06314.5835
C42.80742.39821.39041.39042.39824.19373.39202.15291.09142.15293.39204.84494.8449
C52.42672.77342.40361.39041.37243.69543.86643.39362.15651.09222.14434.58354.0631
C61.41462.41642.77342.39821.37242.44193.40603.86563.38592.13641.09313.43382.6958
C71.38632.44193.69544.19373.69542.44192.66654.57625.28514.57622.66651.09081.0908
H82.16131.09312.14433.39203.86643.40602.66652.46824.29154.95874.30652.45563.7540
H93.41452.13641.09222.15293.39363.86564.57622.46822.48184.29504.95874.75775.5387
H103.89883.38592.15651.09142.15653.38595.28514.29152.48182.48184.29155.91945.9194
H113.41453.86563.39362.15291.09222.13644.57624.95874.29502.48182.46825.53874.7577
H122.16133.40603.86643.39202.14431.09312.66654.30654.95874.29152.46823.75402.4556
H132.15962.69584.06314.84494.58353.43381.09082.45564.75775.91945.53873.75401.8722
H142.15963.43384.58354.84494.06312.69581.09083.75405.53875.91944.75772.45561.8722

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 121.075 C1 C2 H8 118.491
C1 C6 C5 121.075 C1 C6 H12 118.491
C1 C7 H13 120.884 C1 C7 H14 120.884
C2 C1 C6 117.316 C2 C1 C7 121.342
C2 C3 C4 120.458 C2 C3 H9 119.759
C3 C2 H8 120.434 C3 C4 C5 119.618
C3 C4 H10 120.191 C4 C3 H9 119.783
C4 C5 C6 120.458 C4 C5 H11 119.783
C5 C1 C7 150.313 C5 C4 H10 120.191
C5 C6 H12 120.434 C6 C5 H11 119.759
H13 C7 H14 118.231
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at LSDA/cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.128      
2 C -0.093      
3 C -0.121      
4 C -0.112      
5 C -0.121      
6 C -0.093      
7 C -0.322      
8 H 0.096      
9 H 0.108      
10 H 0.110      
11 H 0.108      
12 H 0.096      
13 H 0.109      
14 H 0.109      


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 -0.193 0.193
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -46.308 0.000 0.000
y 0.000 -37.118 0.000
z 0.000 0.000 -37.704
Traceless
 xyz
x -8.897 0.000 0.000
y 0.000 4.888 0.000
z 0.000 0.000 4.010
Polar
3z2-r28.019
x2-y2-9.190
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 5.886 0.000 0.000
y 0.000 12.685 0.000
z 0.000 0.000 17.800


<r2> (average value of r2) Å2
<r2> 188.211
(<r2>)1/2 13.719