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

using model chemistry: wB97X-D/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 wB97X-D/6-311G**
 hartrees
Energy at 0K-270.878688
Energy at 298.15K-270.885643
HF Energy-270.878688
Nuclear repulsion energy260.668381
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 wB97X-D/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 3223 3083 14.03      
2 A1 3203 3064 5.03      
3 A1 3188 3050 6.93      
4 A1 3163 3025 7.92      
5 A1 1625 1554 1.13      
6 A1 1512 1447 9.54      
7 A1 1496 1431 1.43      
8 A1 1289 1233 3.33      
9 A1 1193 1141 0.00      
10 A1 1049 1003 2.41      
11 A1 999 956 0.45      
12 A1 841 804 0.35      
13 A1 537 514 0.34      
14 A2 989 946 0.00      
15 A2 840 804 0.00      
16 A2 498 477 0.00      
17 A2 392 375 0.00      
18 B1 1003 959 0.01      
19 B1 909 869 5.55      
20 B1 777 743 56.99      
21 B1 704 674 2.19      
22 B1 687 657 61.93      
23 B1 482 461 17.21      
24 B1 199 191 1.66      
25 B2 3266 3124 8.39      
26 B2 3209 3070 35.88      
27 B2 3191 3052 1.06      
28 B2 1607 1538 0.85      
29 B2 1487 1422 7.21      
30 B2 1358 1299 0.34      
31 B2 1331 1273 0.65      
32 B2 1178 1127 0.12      
33 B2 1126 1077 3.63      
34 B2 978 936 1.57      
35 B2 630 603 0.00      
36 B2 364 348 0.17      

Unscaled Zero Point Vibrational Energy (zpe) 25261.9 cm-1
Scaled (by 0.9565) Zero Point Vibrational Energy (zpe) 24163.0 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 wB97X-D/6-311G**
ABC
0.18598 0.09074 0.06099

See section I.F.4 to change rotational constant units
Geometric Data calculated at wB97X-D/6-311G**

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 0.990
C2 0.000 1.213 0.251
C3 0.000 1.207 -1.130
C4 0.000 0.000 -1.833
C5 0.000 -1.207 -1.130
C6 0.000 -1.213 0.251
C7 0.000 0.000 2.396
H8 0.000 2.154 0.792
H9 0.000 2.146 -1.673
H10 0.000 0.000 -2.917
H11 0.000 -2.146 -1.673
H12 0.000 -2.154 0.792
H13 0.000 0.928 2.955
H14 0.000 -0.928 2.955

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 C7 H8 H9 H10 H11 H12 H13 H14
C11.42062.43992.82392.43991.42061.40532.16293.42043.90783.42042.16292.17262.1726
C21.42061.38122.41192.78642.42622.46391.08532.13843.39293.87123.41012.71873.4488
C32.43991.38121.39692.41372.78643.72662.14301.08482.15673.39653.87174.09444.6091
C42.82392.41191.39691.39692.41194.22923.39622.15201.08402.15203.39624.87744.8774
C52.43992.78642.41371.39691.38123.72663.87173.39652.15671.08482.14304.60914.0944
C61.42062.42622.78642.41191.38122.46393.41013.87123.39292.13841.08533.44882.7187
C71.40532.46393.72664.22923.72662.46392.68514.60005.31324.60002.68511.08341.0834
H82.16291.08532.14303.39623.87173.41012.68512.46544.28974.95644.30762.48573.7648
H93.42042.13841.08482.15203.39653.87124.60002.46542.48074.29204.95644.78545.5558
H103.90783.39292.15671.08402.15673.39295.31324.28972.48072.48074.28975.94525.9452
H113.42043.87123.39652.15201.08482.13844.60004.95644.29202.48072.46545.55584.7854
H122.16293.41013.87173.39622.14301.08532.68514.30764.95644.28972.46543.76482.4857
H132.17262.71874.09444.87744.60913.44881.08342.48574.78545.94525.55583.76481.8560
H142.17263.44884.60914.87744.09442.71871.08343.76485.55585.94524.78542.48571.8560

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 121.098 C1 C2 H8 118.726
C1 C6 C5 121.098 C1 C6 H12 118.726
C1 C7 H13 121.068 C1 C7 H14 121.068
C2 C1 C6 117.284 C2 C1 C7 121.358
C2 C3 C4 120.495 C2 C3 H9 119.774
C3 C2 H8 120.176 C3 C4 C5 119.529
C3 C4 H10 120.236 C4 C3 H9 119.730
C4 C5 C6 120.495 C4 C5 H11 119.730
C5 C1 C7 150.354 C5 C4 H10 120.236
C5 C6 H12 120.176 C6 C5 H11 119.774
H13 C7 H14 117.864
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at wB97X-D/6-311G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.085      
2 C -0.087      
3 C -0.107      
4 C -0.111      
5 C -0.107      
6 C -0.087      
7 C -0.200      
8 H 0.105      
9 H 0.109      
10 H 0.111      
11 H 0.109      
12 H 0.105      
13 H 0.123      
14 H 0.123      


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 -0.094 0.094
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -46.276 0.000 0.000
y 0.000 -36.659 0.000
z 0.000 0.000 -37.028
Traceless
 xyz
x -9.433 0.000 0.000
y 0.000 4.993 0.000
z 0.000 0.000 4.439
Polar
3z2-r28.879
x2-y2-9.617
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 4.878 0.000 0.000
y 0.000 11.810 0.000
z 0.000 0.000 16.372


<r2> (average value of r2) Å2
<r2> 189.467
(<r2>)1/2 13.765