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

using model chemistry: B97D3/6-31+G**

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 2B1
Energy calculated at B97D3/6-31+G**
 hartrees
Energy at 0K-270.752470
Energy at 298.15K-270.759189
HF Energy-270.752470
Nuclear repulsion energy258.548276
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 B97D3/6-31+G**
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 3154 3100 20.56      
2 A1 3135 3081 7.74      
3 A1 3120 3067 12.33      
4 A1 3111 3057 7.55      
5 A1 1574 1547 0.40      
6 A1 1485 1460 8.25      
7 A1 1467 1442 0.13      
8 A1 1279 1257 1.05      
9 A1 1171 1150 0.26      
10 A1 1018 1000 2.66      
11 A1 976 959 0.87      
12 A1 816 802 0.41      
13 A1 523 514 0.18      
14 A2 937 921 0.00      
15 A2 801 787 0.00      
16 A2 486 478 0.00      
17 A2 376 370 0.00      
18 B1 951 934 0.00      
19 B1 864 850 5.52      
20 B1 745 732 68.00      
21 B1 686 674 2.84      
22 B1 658 646 53.94      
23 B1 460 452 16.81      
24 B1 188 185 1.54      
25 B2 3210 3154 12.79      
26 B2 3140 3086 55.02      
27 B2 3122 3069 1.19      
28 B2 1545 1519 0.46      
29 B2 1447 1422 3.57      
30 B2 1347 1324 0.44      
31 B2 1317 1295 1.12      
32 B2 1158 1138 0.03      
33 B2 1097 1078 3.14      
34 B2 956 940 2.16      
35 B2 614 603 0.00      
36 B2 354 348 0.16      

Unscaled Zero Point Vibrational Energy (zpe) 24642.8 cm-1
Scaled (by 0.9828) Zero Point Vibrational Energy (zpe) 24218.9 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 B97D3/6-31+G**
ABC
0.18276 0.08929 0.05998

See section I.F.4 to change rotational constant units
Geometric Data calculated at B97D3/6-31+G**

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.000
C2 0.000 1.224 0.254
C3 0.000 1.218 -1.138
C4 0.000 0.000 -1.848
C5 0.000 -1.218 -1.138
C6 0.000 -1.224 0.254
C7 0.000 0.000 2.410
H8 0.000 2.170 0.798
H9 0.000 2.162 -1.683
H10 0.000 0.000 -2.937
H11 0.000 -2.162 -1.683
H12 0.000 -2.170 0.798
H13 0.000 0.932 2.973
H14 0.000 -0.932 2.973

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 C7 H8 H9 H10 H11 H12 H13 H14
C11.43372.46052.84742.46051.43371.41072.17903.44593.93693.44592.17902.18202.1820
C21.43371.39202.43212.81102.44862.48001.09072.15223.41783.90143.43732.73443.4703
C32.46051.39201.40952.43582.81103.75192.15721.09042.17243.42393.90174.12074.6392
C42.84742.43211.40951.40952.43214.25813.42132.16861.08952.16863.42134.90964.9096
C52.46052.81102.43581.40951.39203.75193.90173.42392.17241.09042.15724.63924.1207
C61.43372.44862.81102.43211.39202.48003.43733.90143.41782.15221.09073.47032.7344
C71.41072.48003.75194.25813.75192.48002.70344.62975.34764.62972.70341.08881.0888
H82.17901.09072.15723.42133.90173.43732.70342.48094.31934.99214.33932.50213.7885
H93.44592.15221.09042.16863.42393.90144.62972.48092.49964.32474.99214.81545.5905
H103.93693.41782.17241.08952.17243.41785.34764.31932.49962.49964.31935.98285.9828
H113.44593.90143.42392.16861.09042.15224.62974.99214.32472.49962.48095.59054.8154
H122.17903.43733.90173.42132.15721.09072.70344.33934.99214.31932.48093.78852.5021
H132.18202.73444.12074.90964.63923.47031.08882.50214.81545.98285.59053.78851.8649
H142.18203.47034.63924.90964.12072.73441.08883.78855.59055.98284.81542.50211.8649

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 121.156 C1 C2 H8 118.631
C1 C6 C5 121.156 C1 C6 H12 118.631
C1 C7 H13 121.175 C1 C7 H14 121.175
C2 C1 C6 117.183 C2 C1 C7 121.408
C2 C3 C4 120.525 C2 C3 H9 119.766
C3 C2 H8 120.214 C3 C4 C5 119.456
C3 C4 H10 120.272 C4 C3 H9 119.709
C4 C5 C6 120.525 C4 C5 H11 119.709
C5 C1 C7 150.359 C5 C4 H10 120.272
C5 C6 H12 120.214 C6 C5 H11 119.766
H13 C7 H14 117.651
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B97D3/6-31+G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.571      
2 C -0.301      
3 C -0.133      
4 C -0.159      
5 C -0.133      
6 C -0.301      
7 C -0.499      
8 H 0.130      
9 H 0.135      
10 H 0.135      
11 H 0.135      
12 H 0.130      
13 H 0.146      
14 H 0.146      


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 -0.148 0.148
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -46.862 0.000 0.000
y 0.000 -37.506 0.000
z 0.000 0.000 -38.100
Traceless
 xyz
x -9.059 0.000 0.000
y 0.000 4.975 0.000
z 0.000 0.000 4.084
Polar
3z2-r28.169
x2-y2-9.356
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 7.180 0.000 0.000
y 0.000 12.975 0.000
z 0.000 0.000 18.350


<r2> (average value of r2) Å2
<r2> 192.688
(<r2>)1/2 13.881