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

using model chemistry: BLYP/cc-pVDZ

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 2B1
Energy calculated at BLYP/cc-pVDZ
 hartrees
Energy at 0K-270.794299
Energy at 298.15K-270.801066
HF Energy-270.794299
Nuclear repulsion energy257.354578
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 BLYP/cc-pVDZ
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 3116 3121 17.02      
2 A1 3097 3102 6.94      
3 A1 3082 3087 9.86      
4 A1 3067 3072 4.17      
5 A1 1553 1555 0.59      
6 A1 1460 1462 6.53      
7 A1 1436 1438 0.01      
8 A1 1266 1268 1.75      
9 A1 1150 1152 0.14      
10 A1 1005 1007 1.81      
11 A1 964 965 0.65      
12 A1 807 808 0.32      
13 A1 518 519 0.15      
14 A2 946 947 0.00      
15 A2 810 811 0.00      
16 A2 497 498 0.00      
17 A2 381 381 0.00      
18 B1 966 967 0.00      
19 B1 877 878 3.64      
20 B1 759 760 34.52      
21 B1 697 698 2.67      
22 B1 667 668 31.11      
23 B1 470 470 8.52      
24 B1 194 195 0.68      
25 B2 3170 3175 11.15      
26 B2 3102 3107 46.88      
27 B2 3084 3089 0.63      
28 B2 1522 1525 0.51      
29 B2 1427 1429 4.15      
30 B2 1325 1327 0.55      
31 B2 1292 1294 1.70      
32 B2 1137 1138 0.05      
33 B2 1081 1083 2.18      
34 B2 942 943 1.71      
35 B2 607 608 0.00      
36 B2 351 351 0.12      

Unscaled Zero Point Vibrational Energy (zpe) 24411.0 cm-1
Scaled (by 1.0016) Zero Point Vibrational Energy (zpe) 24450.0 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 BLYP/cc-pVDZ
ABC
0.18119 0.08850 0.05946

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

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.006
C2 0.000 1.229 0.254
C3 0.000 1.222 -1.143
C4 0.000 0.000 -1.856
C5 0.000 -1.222 -1.143
C6 0.000 -1.229 0.254
C7 0.000 0.000 2.420
H8 0.000 2.183 0.801
H9 0.000 2.175 -1.692
H10 0.000 0.000 -2.955
H11 0.000 -2.175 -1.692
H12 0.000 -2.183 0.801
H13 0.000 0.941 2.986
H14 0.000 -0.941 2.986

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 C7 H8 H9 H10 H11 H12 H13 H14
C11.44112.47242.86202.47241.44111.41392.19303.46613.96103.46612.19302.19222.1922
C21.44111.39682.44162.82132.45832.49071.10012.16413.43593.92123.45612.74733.4894
C32.47241.39681.41492.44432.82133.76692.16881.09992.18553.44123.92144.13854.6614
C42.86202.44161.41491.41492.44164.27593.43902.18091.09902.18093.43904.93244.9324
C52.47242.82132.44431.41491.39683.76693.92143.44122.18551.09992.16884.66144.1385
C61.44112.45832.82132.44161.39682.49073.45613.92123.43592.16411.10013.48942.7473
C71.41392.49073.76694.27593.76692.49072.71814.65255.37494.65252.71811.09831.0983
H82.19301.10012.16883.43903.92143.45612.71812.49394.34455.02134.36682.51313.8128
H93.46612.16411.09992.18093.44123.92124.65252.49392.51454.34975.02134.83855.6215
H103.96103.43592.18551.09902.18553.43595.37494.34452.51452.51454.34456.01496.0149
H113.46613.92123.44122.18091.09992.16414.65255.02134.34972.51452.49395.62154.8385
H122.19303.45613.92143.43902.16881.10012.71814.36685.02134.34452.49393.81282.5131
H132.19222.74734.13854.93244.66143.48941.09832.51314.83856.01495.62153.81281.8827
H142.19223.48944.66144.93244.13852.74731.09833.81285.62156.01494.83852.51311.8827

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 121.187 C1 C2 H8 118.686
C1 C6 C5 121.187 C1 C6 H12 118.686
C1 C7 H13 121.009 C1 C7 H14 121.009
C2 C1 C6 117.054 C2 C1 C7 121.473
C2 C3 C4 120.539 C2 C3 H9 119.701
C3 C2 H8 120.127 C3 C4 C5 119.494
C3 C4 H10 120.253 C4 C3 H9 119.760
C4 C5 C6 120.539 C4 C5 H11 119.760
C5 C1 C7 150.375 C5 C4 H10 120.253
C5 C6 H12 120.127 C6 C5 H11 119.701
H13 C7 H14 117.983
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at BLYP/cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.001      
2 C 0.028      
3 C 0.067      
4 C 0.048      
5 C 0.067      
6 C 0.028      
7 C 0.063      
8 H -0.066      
9 H -0.052      
10 H -0.052      
11 H -0.052      
12 H -0.066      
13 H -0.007      
14 H -0.007      


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 -0.168 0.168
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -45.507 0.000 0.000
y 0.000 -38.007 0.000
z 0.000 0.000 -38.439
Traceless
 xyz
x -7.284 0.000 0.000
y 0.000 3.966 0.000
z 0.000 0.000 3.317
Polar
3z2-r26.635
x2-y2-7.500
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 4.243 0.000 0.000
y 0.000 12.497 0.000
z 0.000 0.000 17.448


<r2> (average value of r2) Å2
<r2> 194.118
(<r2>)1/2 13.933