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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-270.861154
Energy at 298.15K-270.868014
HF Energy-270.861154
Nuclear repulsion energy260.380109
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 3204 3084 17.49      
2 A1 3185 3066 9.87      
3 A1 3170 3052 8.21      
4 A1 3154 3036 8.99      
5 A1 1616 1556 1.05      
6 A1 1512 1456 10.09      
7 A1 1496 1440 0.14      
8 A1 1293 1244 3.23      
9 A1 1189 1144 0.03      
10 A1 1043 1004 2.61      
11 A1 997 960 0.42      
12 A1 835 804 0.34      
13 A1 532 512 0.33      
14 A2 956 920 0.00      
15 A2 824 793 0.00      
16 A2 491 473 0.00      
17 A2 387 372 0.00      
18 B1 978 941 0.00      
19 B1 890 856 5.82      
20 B1 767 739 63.54      
21 B1 693 667 1.43      
22 B1 682 656 65.46      
23 B1 475 457 17.98      
24 B1 199 191 1.69      
25 B2 3251 3130 11.70      
26 B2 3191 3072 48.62      
27 B2 3173 3055 0.58      
28 B2 1595 1536 0.91      
29 B2 1482 1427 6.64      
30 B2 1362 1312 0.05      
31 B2 1345 1295 1.13      
32 B2 1178 1134 0.04      
33 B2 1120 1078 3.78      
34 B2 974 938 1.54      
35 B2 626 602 0.00      
36 B2 356 342 0.17      

Unscaled Zero Point Vibrational Energy (zpe) 25108.9 cm-1
Scaled (by 0.9627) Zero Point Vibrational Energy (zpe) 24172.4 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
0.18571 0.09049 0.06084

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 2.157 0.791
H9 0.000 2.149 -1.673
H10 0.000 0.000 -2.919
H11 0.000 -2.149 -1.673
H12 0.000 -2.157 0.791
H13 0.000 0.926 2.959
H14 0.000 -0.926 2.959

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 C7 H8 H9 H10 H11 H12 H13 H14
C11.42152.44122.82492.44121.42151.40422.16583.42273.91043.42272.16582.17502.1750
C21.42151.38162.41252.78792.42762.46391.08652.13953.39483.87413.41332.72313.4515
C32.44121.38161.39772.41552.78793.72692.14301.08622.15843.39993.87444.09914.6128
C42.82492.41251.39771.39772.41254.22923.39722.15451.08542.15453.39724.88154.8815
C52.44122.78792.41551.39771.38163.72693.87443.39992.15841.08622.14304.61284.0991
C61.42152.42762.78792.41251.38162.46393.41333.87413.39482.13951.08653.45152.7231
C71.40422.46393.72694.22923.72692.46392.68784.60115.31464.60112.68781.08441.0844
H82.16581.08652.14303.39723.87443.41332.68782.46444.29164.96054.31322.49263.7689
H93.42272.13951.08622.15453.39993.87414.60112.46442.48364.29704.96054.79085.5600
H103.91043.39482.15841.08542.15843.39485.31464.29162.48362.48364.29165.95085.9508
H113.42273.87413.39992.15451.08622.13954.60114.96054.29702.48362.46445.56004.7908
H122.16583.41333.87443.39722.14301.08652.68784.31324.96054.29162.46443.76892.4926
H132.17502.72314.09914.88154.61283.45151.08442.49264.79085.95085.56003.76891.8528
H142.17503.45154.61284.88154.09912.72311.08443.76895.56005.95084.79082.49261.8528

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 121.118 C1 C2 H8 118.833
C1 C6 C5 121.118 C1 C6 H12 118.833
C1 C7 H13 121.318 C1 C7 H14 121.318
C2 C1 C6 117.264 C2 C1 C7 121.368
C2 C3 C4 120.465 C2 C3 H9 119.739
C3 C2 H8 120.049 C3 C4 C5 119.568
C3 C4 H10 120.216 C4 C3 H9 119.795
C4 C5 C6 120.465 C4 C5 H11 119.795
C5 C1 C7 150.348 C5 C4 H10 120.216
C5 C6 H12 120.049 C6 C5 H11 119.739
H13 C7 H14 117.364
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 0.048      
2 C -0.211      
3 C -0.205      
4 C -0.200      
5 C -0.205      
6 C -0.211      
7 C -0.464      
8 H 0.200      
9 H 0.202      
10 H 0.203      
11 H 0.202      
12 H 0.200      
13 H 0.221      
14 H 0.221      


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 -0.099 0.099
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -46.477 0.000 0.000
y 0.000 -36.468 0.000
z 0.000 0.000 -36.813
Traceless
 xyz
x -9.837 0.000 0.000
y 0.000 5.177 0.000
z 0.000 0.000 4.659
Polar
3z2-r29.319
x2-y2-10.009
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 4.757 0.000 0.000
y 0.000 11.792 0.000
z 0.000 0.000 16.436


<r2> (average value of r2) Å2
<r2> 189.840
(<r2>)1/2 13.778