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

using model chemistry: B3PW91/6-311G**

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 2B1
Energy calculated at B3PW91/6-311G**
 hartrees
Energy at 0K-270.873529
Energy at 298.15K-270.880430
HF Energy-270.873529
Nuclear repulsion energy260.425656
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 B3PW91/6-311G**
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 3203 3085 12.69      
2 A1 3185 3067 5.37      
3 A1 3170 3053 7.16      
4 A1 3155 3038 6.03      
5 A1 1611 1551 1.04      
6 A1 1504 1448 9.72      
7 A1 1483 1428 0.30      
8 A1 1289 1242 3.42      
9 A1 1183 1139 0.04      
10 A1 1041 1003 2.64      
11 A1 995 958 0.39      
12 A1 834 803 0.35      
13 A1 531 511 0.32      
14 A2 974 938 0.00      
15 A2 831 800 0.00      
16 A2 496 477 0.00      
17 A2 387 373 0.00      
18 B1 990 954 0.00      
19 B1 900 867 4.79      
20 B1 773 744 58.92      
21 B1 703 678 1.50      
22 B1 684 659 57.64      
23 B1 476 459 17.01      
24 B1 198 191 1.56      
25 B2 3256 3136 8.02      
26 B2 3190 3072 35.31      
27 B2 3173 3056 0.58      
28 B2 1589 1530 0.85      
29 B2 1476 1421 6.55      
30 B2 1357 1307 0.16      
31 B2 1338 1289 1.01      
32 B2 1173 1129 0.03      
33 B2 1116 1075 3.82      
34 B2 967 932 1.56      
35 B2 624 601 0.00      
36 B2 354 341 0.17      

Unscaled Zero Point Vibrational Energy (zpe) 25103.8 cm-1
Scaled (by 0.9631) Zero Point Vibrational Energy (zpe) 24177.5 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 B3PW91/6-311G**
ABC
0.18572 0.09053 0.06086

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3PW91/6-311G**

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 0.991
C2 0.000 1.214 0.251
C3 0.000 1.208 -1.130
C4 0.000 0.000 -1.834
C5 0.000 -1.208 -1.130
C6 0.000 -1.214 0.251
C7 0.000 0.000 2.395
H8 0.000 2.156 0.792
H9 0.000 2.148 -1.672
H10 0.000 0.000 -2.918
H11 0.000 -2.148 -1.672
H12 0.000 -2.156 0.792
H13 0.000 0.928 2.954
H14 0.000 -0.928 2.954

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 C7 H8 H9 H10 H11 H12 H13 H14
C11.42172.44112.82502.44111.42171.40392.16483.42193.90963.42192.16482.17152.1715
C21.42171.38142.41252.78792.42772.46381.08572.13843.39403.87323.41252.71823.4490
C32.44111.38141.39772.41542.78793.72652.14281.08542.15783.39913.87364.09414.6093
C42.82502.41251.39771.39772.41254.22903.39692.15391.08452.15393.39694.87724.8772
C52.44112.78792.41541.39771.38143.72653.87363.39912.15781.08542.14284.60934.0941
C61.42172.42772.78792.41251.38142.46383.41253.87323.39402.13841.08573.44902.7182
C71.40392.46383.72654.22903.72652.46382.68674.60005.31354.60002.68671.08361.0836
H82.16481.08572.14283.39693.87363.41252.68672.46414.29064.95894.31112.48683.7666
H93.42192.13841.08542.15393.39913.87324.60002.46412.48304.29584.95894.78495.5561
H103.90963.39402.15781.08452.15783.39405.31354.29062.48302.48304.29065.94565.9456
H113.42193.87323.39912.15391.08542.13844.60004.95894.29582.48302.46415.55614.7849
H122.16483.41253.87363.39692.14281.08572.68674.31114.95894.29062.46413.76662.4868
H132.17152.71824.09414.87724.60933.44901.08362.48684.78495.94565.55613.76661.8565
H142.17153.44904.60934.87724.09412.71821.08363.76665.55615.94564.78492.48681.8565

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 121.117 C1 C2 H8 118.779
C1 C6 C5 121.117 C1 C6 H12 118.779
C1 C7 H13 121.063 C1 C7 H14 121.063
C2 C1 C6 117.256 C2 C1 C7 121.372
C2 C3 C4 120.478 C2 C3 H9 119.723
C3 C2 H8 120.104 C3 C4 C5 119.554
C3 C4 H10 120.223 C4 C3 H9 119.799
C4 C5 C6 120.478 C4 C5 H11 119.799
C5 C1 C7 150.348 C5 C4 H10 120.223
C5 C6 H12 120.104 C6 C5 H11 119.723
H13 C7 H14 117.873
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3PW91/6-311G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.120      
2 C -0.072      
3 C -0.107      
4 C -0.101      
5 C -0.107      
6 C -0.072      
7 C -0.170      
8 H 0.098      
9 H 0.105      
10 H 0.106      
11 H 0.105      
12 H 0.098      
13 H 0.118      
14 H 0.118      


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 -0.088 0.088
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -46.172 0.000 0.000
y 0.000 -36.636 0.000
z 0.000 0.000 -36.978
Traceless
 xyz
x -9.365 0.000 0.000
y 0.000 4.939 0.000
z 0.000 0.000 4.426
Polar
3z2-r28.852
x2-y2-9.536
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 4.906 0.000 0.000
y 0.000 11.885 0.000
z 0.000 0.000 16.543


<r2> (average value of r2) Å2
<r2> 189.765
(<r2>)1/2 13.776