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

using model chemistry: B2PLYP/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 B2PLYP/6-31+G**
 hartrees
Energy at 0K-270.629271
Energy at 298.15K-270.636061
HF Energy-270.329946
Nuclear repulsion energy259.879177
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 B2PLYP/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 3243 3088 13.74      
2 A1 3224 3070 4.21      
3 A1 3209 3057 9.81      
4 A1 3200 3047 5.42      
5 A1 1636 1558 0.48      
6 A1 1520 1448 8.32      
7 A1 1516 1444 0.21      
8 A1 1289 1227 1.50      
9 A1 1198 1141 0.05      
10 A1 1056 1006 3.06      
11 A1 1004 956 0.76      
12 A1 840 800 0.46      
13 A1 535 509 0.35      
14 A2 967 921 0.00      
15 A2 842 802 0.00      
16 A2 468 445 0.00      
17 A2 385 367 0.00      
18 B1 962 916 0.27      
19 B1 895 852 2.12      
20 B1 740 705 113.92      
21 B1 671 639 16.77      
22 B1 612 583 11.70      
23 B1 461 439 16.06      
24 B1 196 187 1.91      
25 B2 3305 3147 8.15      
26 B2 3230 3076 35.23      
27 B2 3211 3058 1.89      
28 B2 1622 1545 0.42      
29 B2 1498 1427 5.33      
30 B2 1369 1304 0.16      
31 B2 1348 1284 1.08      
32 B2 1188 1132 0.04      
33 B2 1132 1078 3.41      
34 B2 986 939 2.43      
35 B2 632 601 0.00      
36 B2 356 339 0.20      

Unscaled Zero Point Vibrational Energy (zpe) 25271.9 cm-1
Scaled (by 0.9524) Zero Point Vibrational Energy (zpe) 24068.9 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 B2PLYP/6-31+G**
ABC
0.18526 0.08997 0.06056

See section I.F.4 to change rotational constant units
Geometric Data calculated at B2PLYP/6-31+G**

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 0.990
C2 0.000 1.216 0.252
C3 0.000 1.210 -1.134
C4 0.000 0.000 -1.838
C5 0.000 -1.210 -1.134
C6 0.000 -1.216 0.252
C7 0.000 0.000 2.404
H8 0.000 2.156 0.793
H9 0.000 2.149 -1.677
H10 0.000 0.000 -2.922
H11 0.000 -2.149 -1.677
H12 0.000 -2.156 0.793
H13 0.000 0.924 2.968
H14 0.000 -0.924 2.968

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 C7 H8 H9 H10 H11 H12 H13 H14
C11.42262.44532.82882.44531.42261.41332.16463.42523.91203.42522.16462.18262.1826
C21.42261.38672.41872.79492.43242.47131.08392.14293.39903.87873.41482.73113.4574
C32.44531.38671.40032.42092.79493.73932.14661.08382.15863.40263.87884.11214.6241
C42.82882.41871.40031.40032.41874.24213.40162.15461.08322.15463.40164.89414.8941
C52.44532.79492.42091.40031.38673.73933.87883.40262.15861.08382.14664.62414.1121
C61.42262.43242.79492.41871.38672.47133.41483.87873.39902.14291.08393.45742.7311
C71.41332.47133.73934.24213.73932.47132.69084.61195.32534.61192.69081.08251.0825
H82.16461.08392.14663.40163.87883.41482.69082.47024.29484.96264.31112.49923.7699
H93.42522.14291.08382.15463.40263.87874.61192.47022.48294.29714.96264.80365.5691
H103.91203.39902.15861.08322.15863.39905.32534.29482.48292.48294.29485.96145.9614
H113.42523.87873.40262.15461.08382.14294.61194.96264.29712.48292.47025.56914.8036
H122.16463.41483.87883.40162.14661.08392.69084.31114.96264.29482.47023.76992.4992
H132.18262.73114.11214.89414.62413.45741.08252.49924.80365.96145.56913.76991.8479
H142.18263.45744.62414.89414.11212.73111.08253.76995.56915.96144.80362.49921.8479

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 118.822
C1 C6 C5 121.014 C1 C6 H12 118.822
C1 C7 H13 121.405 C1 C7 H14 121.405
C2 C1 C6 117.497 C2 C1 C7 121.252
C2 C3 C4 120.421 C2 C3 H9 119.818
C3 C2 H8 120.164 C3 C4 C5 119.632
C3 C4 H10 120.184 C4 C3 H9 119.760
C4 C5 C6 120.421 C4 C5 H11 119.760
C5 C1 C7 150.330 C5 C4 H10 120.184
C5 C6 H12 120.164 C6 C5 H11 119.818
H13 C7 H14 117.191
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B2PLYP/6-31+G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.443      
2 C -0.297      
3 C -0.136      
4 C -0.163      
5 C -0.136      
6 C -0.297      
7 C -0.404      
8 H 0.140      
9 H 0.143      
10 H 0.143      
11 H 0.143      
12 H 0.140      
13 H 0.141      
14 H 0.141      


Electric dipole moments


Electric Quadrupole moment
Quadrupole components in D Å


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 7.142 0.000 0.000
y 0.000 12.645 0.000
z 0.000 0.000 17.496


<r2> (average value of r2) Å2
<r2> 191.200
(<r2>)1/2 13.827