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

using model chemistry: HF/6-31G**

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 2B1
Energy calculated at HF/6-31G**
 hartrees
Energy at 0K-269.152853
Energy at 298.15K-269.159935
HF Energy-269.152853
Nuclear repulsion energy259.732953
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 HF/6-31G**
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 3368 3040 20.78      
2 A1 3348 3022 16.76      
3 A1 3334 3009 5.92      
4 A1 3309 2987 12.20      
5 A1 1653 1492 0.31      
6 A1 1625 1467 2.72      
7 A1 1604 1448 3.12      
8 A1 1344 1213 0.89      
9 A1 1243 1122 0.06      
10 A1 1074 969 0.54      
11 A1 1034 933 0.00      
12 A1 851 768 0.02      
13 A1 554 500 0.23      
14 A2 994 897 0.00      
15 A2 848 765 0.00      
16 A2 540 487 0.00      
17 A2 394 356 0.00      
18 B1 1012 914 0.00      
19 B1 914 825 5.42      
20 B1 780 704 76.13      
21 B1 727 656 2.88      
22 B1 684 617 34.83      
23 B1 488 440 9.93      
24 B1 206 186 0.93      
25 B2 3406 3074 15.40      
26 B2 3356 3029 55.41      
27 B2 3336 3011 1.23      
28 B2 1647 1487 1.66      
29 B2 1560 1408 3.44      
30 B2 1449 1308 0.56      
31 B2 1415 1278 0.08      
32 B2 1237 1117 0.01      
33 B2 1161 1048 0.71      
34 B2 1033 932 0.76      
35 B2 652 589 0.01      
36 B2 384 347 0.02      

Unscaled Zero Point Vibrational Energy (zpe) 26281.3 cm-1
Scaled (by 0.9026) Zero Point Vibrational Energy (zpe) 23721.5 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 HF/6-31G**
ABC
0.18427 0.09000 0.06046

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

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 0.996
C2 0.000 1.221 0.255
C3 0.000 1.214 -1.135
C4 0.000 0.000 -1.841
C5 0.000 -1.214 -1.135
C6 0.000 -1.221 0.255
C7 0.000 0.000 2.401
H8 0.000 2.155 0.789
H9 0.000 2.146 -1.673
H10 0.000 0.000 -2.916
H11 0.000 -2.146 -1.673
H12 0.000 -2.155 0.789
H13 0.000 0.919 2.958
H14 0.000 -0.919 2.958

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 C7 H8 H9 H10 H11 H12 H13 H14
C11.42812.45312.83712.45311.42811.40452.16503.42513.91243.42512.16502.16612.1661
C21.42811.39022.42522.80372.44112.46871.07612.13873.39783.87943.41752.71963.4473
C32.45311.39021.40432.42852.80373.73882.14171.07572.15543.40273.87994.10364.6157
C42.83712.42521.40431.40432.42524.24163.39972.15221.07532.15223.39974.88584.8858
C52.45312.80372.42851.40431.39023.73883.87993.40272.15541.07572.14174.61574.1036
C61.42812.44112.80372.42521.39022.46873.41753.87943.39782.13871.07613.44732.7196
C71.40452.46873.73884.24163.73882.46872.69124.60475.31694.60472.69121.07481.0748
H82.16501.07612.14173.39973.87993.41752.69122.46214.28604.95564.31002.49633.7624
H93.42512.13871.07572.15223.40273.87944.60472.46212.47964.29144.95564.79075.5534
H103.91243.39782.15541.07532.15543.39785.31694.28602.47962.47964.28605.94535.9453
H113.42513.87943.40272.15221.07572.13874.60474.95564.29142.47962.46215.55344.7907
H122.16503.41753.87993.39972.14171.07612.69124.31004.95564.28602.46213.76242.4963
H132.16612.71964.10364.88584.61573.44731.07482.49634.79075.94535.55343.76241.8385
H142.16613.44734.61574.88584.10362.71961.07483.76245.55345.94534.79072.49631.8385

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 121.014 C1 C2 H8 118.987
C1 C6 C5 121.014 C1 C6 H12 118.987
C1 C7 H13 121.209 C1 C7 H14 121.209
C2 C1 C6 117.450 C2 C1 C7 121.275
C2 C3 C4 120.419 C2 C3 H9 119.755
C3 C2 H8 119.999 C3 C4 C5 119.684
C3 C4 H10 120.158 C4 C3 H9 119.827
C4 C5 C6 120.419 C4 C5 H11 119.827
C5 C1 C7 150.332 C5 C4 H10 120.158
C5 C6 H12 119.999 C6 C5 H11 119.755
H13 C7 H14 117.581
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HF/6-31G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.021      
2 C -0.146      
3 C -0.144      
4 C -0.151      
5 C -0.144      
6 C -0.146      
7 C -0.281      
8 H 0.145      
9 H 0.147      
10 H 0.147      
11 H 0.147      
12 H 0.145      
13 H 0.130      
14 H 0.130      


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 -0.054 0.054
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -46.023 0.000 0.000
y 0.000 -37.028 0.000
z 0.000 0.000 -37.265
Traceless
 xyz
x -8.877 0.000 0.000
y 0.000 4.616 0.000
z 0.000 0.000 4.260
Polar
3z2-r28.521
x2-y2-8.995
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.633 0.000 0.000
y 0.000 10.190 0.000
z 0.000 0.000 13.038


<r2> (average value of r2) Å2
<r2> 190.765
(<r2>)1/2 13.812