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

using model chemistry: BLYP/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 BLYP/cc-pVTZ
 hartrees
Energy at 0K-270.882331
Energy at 298.15K-270.889114
HF Energy-270.882331
Nuclear repulsion energy258.961969
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-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 3115 3105 16.06      
2 A1 3097 3087 6.48      
3 A1 3082 3073 11.21      
4 A1 3073 3064 4.01      
5 A1 1546 1542 0.80      
6 A1 1470 1465 8.81      
7 A1 1458 1453 0.53      
8 A1 1268 1264 0.95      
9 A1 1162 1159 0.23      
10 A1 1006 1003 1.92      
11 A1 974 971 1.20      
12 A1 808 805 0.34      
13 A1 523 521 0.12      
14 A2 940 937 0.00      
15 A2 804 801 0.00      
16 A2 497 496 0.00      
17 A2 380 379 0.00      
18 B1 956 953 0.00      
19 B1 871 868 5.05      
20 B1 757 754 50.18      
21 B1 701 699 2.97      
22 B1 665 663 43.53      
23 B1 464 463 13.10      
24 B1 191 191 1.01      
25 B2 3164 3154 10.92      
26 B2 3101 3091 44.60      
27 B2 3084 3075 0.62      
28 B2 1519 1514 1.06      
29 B2 1434 1430 4.38      
30 B2 1324 1320 0.21      
31 B2 1297 1293 1.51      
32 B2 1153 1149 0.05      
33 B2 1090 1086 2.09      
34 B2 947 944 1.92      
35 B2 614 612 0.01      
36 B2 352 351 0.12      

Unscaled Zero Point Vibrational Energy (zpe) 24441.5 cm-1
Scaled (by 0.997) Zero Point Vibrational Energy (zpe) 24368.1 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-pVTZ
ABC
0.18337 0.08954 0.06016

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

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.001
C2 0.000 1.223 0.252
C3 0.000 1.215 -1.136
C4 0.000 0.000 -1.845
C5 0.000 -1.215 -1.136
C6 0.000 -1.223 0.252
C7 0.000 0.000 2.407
H8 0.000 2.167 0.793
H9 0.000 2.158 -1.681
H10 0.000 0.000 -2.932
H11 0.000 -2.158 -1.681
H12 0.000 -2.167 0.793
H13 0.000 0.930 2.969
H14 0.000 -0.930 2.969

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 C7 H8 H9 H10 H11 H12 H13 H14
C11.43402.45882.84592.45881.43401.40572.17743.44243.93363.44242.17742.17692.1769
C21.43401.38812.42702.80552.44532.47771.08892.14723.41093.89413.43312.73333.4668
C32.45881.38811.40692.43092.80553.74582.15151.08862.16873.41723.89444.11564.6324
C42.84592.42701.40691.40692.42704.25173.41422.16431.08762.16433.41424.90324.9032
C52.45882.80552.43091.40691.38813.74583.89443.41722.16871.08862.15154.63244.1156
C61.43402.44532.80552.42701.38812.47773.43313.89413.41092.14721.08893.46682.7333
C71.40572.47773.74584.25173.74582.47772.70234.62245.33934.62242.70231.08681.0868
H82.17741.08892.15153.41423.89443.43312.70232.47404.31024.98314.33502.50363.7855
H93.44242.14721.08862.16433.41723.89414.62242.47402.49474.31614.98314.80985.5821
H103.93363.41092.16871.08762.16873.41095.33934.31022.49472.49474.31025.97465.9746
H113.44243.89413.41722.16431.08862.14724.62244.98314.31612.49472.47405.58214.8098
H122.17743.43313.89443.41422.15151.08892.70234.33504.98314.31022.47403.78552.5036
H132.17692.73334.11564.90324.63243.46681.08682.50364.80985.97465.58213.78551.8597
H142.17693.46684.63244.90324.11562.73331.08683.78555.58215.97464.80982.50361.8597

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 121.207 C1 C2 H8 118.688
C1 C6 C5 121.207 C1 C6 H12 118.688
C1 C7 H13 121.173 C1 C7 H14 121.173
C2 C1 C6 116.994 C2 C1 C7 121.503
C2 C3 C4 120.535 C2 C3 H9 119.722
C3 C2 H8 120.105 C3 C4 C5 119.523
C3 C4 H10 120.239 C4 C3 H9 119.743
C4 C5 C6 120.535 C4 C5 H11 119.743
C5 C1 C7 150.375 C5 C4 H10 120.239
C5 C6 H12 120.105 C6 C5 H11 119.722
H13 C7 H14 117.654
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at BLYP/cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.135      
2 C -0.095      
3 C -0.089      
4 C -0.094      
5 C -0.089      
6 C -0.095      
7 C -0.275      
8 H 0.079      
9 H 0.086      
10 H 0.088      
11 H 0.086      
12 H 0.079      
13 H 0.091      
14 H 0.091      


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 -0.175 0.175
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -46.253 0.000 0.000
y 0.000 -38.073 0.000
z 0.000 0.000 -38.630
Traceless
 xyz
x -7.902 0.000 0.000
y 0.000 4.368 0.000
z 0.000 0.000 3.533
Polar
3z2-r27.066
x2-y2-8.180
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 5.884 0.000 0.000
y 0.000 12.852 0.000
z 0.000 0.000 18.026


<r2> (average value of r2) Å2
<r2> 192.292
(<r2>)1/2 13.867