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

using model chemistry: B3PW91/3-21G

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 2B1
Energy calculated at B3PW91/3-21G
 hartrees
Energy at 0K-269.323583
Energy at 298.15K-269.330588
HF Energy-269.323583
Nuclear repulsion energy259.754634
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 B3PW91/3-21G
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 3229 3103 10.44      
2 A1 3207 3083 3.22      
3 A1 3192 3068 4.79      
4 A1 3172 3049 5.18      
5 A1 1602 1539 2.11      
6 A1 1525 1466 0.08      
7 A1 1519 1460 11.67      
8 A1 1305 1254 3.39      
9 A1 1221 1173 0.01      
10 A1 1047 1006 1.75      
11 A1 1020 980 0.40      
12 A1 840 807 0.33      
13 A1 550 528 0.31      
14 A2 999 960 0.00      
15 A2 845 812 0.00      
16 A2 497 478 0.00      
17 A2 395 380 0.00      
18 B1 1022 983 0.01      
19 B1 918 882 7.63      
20 B1 789 759 75.98      
21 B1 714 686 6.72      
22 B1 703 675 71.63      
23 B1 479 461 19.36      
24 B1 203 195 1.87      
25 B2 3272 3145 6.76      
26 B2 3213 3088 25.96      
27 B2 3194 3070 0.48      
28 B2 1579 1517 2.48      
29 B2 1495 1437 8.21      
30 B2 1391 1337 1.18      
31 B2 1333 1281 0.64      
32 B2 1223 1175 0.07      
33 B2 1138 1094 3.25      
34 B2 990 951 0.82      
35 B2 649 623 0.00      
36 B2 366 352 0.29      

Unscaled Zero Point Vibrational Energy (zpe) 25416.3 cm-1
Scaled (by 0.9612) Zero Point Vibrational Energy (zpe) 24430.1 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 B3PW91/3-21G
ABC
0.18454 0.09010 0.06054

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3PW91/3-21G

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 0.993
C2 0.000 1.219 0.252
C3 0.000 1.212 -1.133
C4 0.000 0.000 -1.838
C5 0.000 -1.212 -1.133
C6 0.000 -1.219 0.252
C7 0.000 0.000 2.401
H8 0.000 2.159 0.795
H9 0.000 2.151 -1.677
H10 0.000 0.000 -2.923
H11 0.000 -2.151 -1.677
H12 0.000 -2.159 0.795
H13 0.000 0.930 2.960
H14 0.000 -0.930 2.960

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 C7 H8 H9 H10 H11 H12 H13 H14
C11.42642.44722.83132.44721.42641.40792.16833.42863.91583.42862.16832.17562.1756
C21.42641.38542.41992.79762.43782.47031.08582.14253.40103.88293.42152.72323.4566
C32.44721.38541.40182.42322.79763.73602.14861.08532.16123.40613.88344.10294.6194
C42.83132.41991.40181.40182.41994.23923.40552.15691.08452.15693.40554.88754.8875
C52.44722.79762.42321.40181.38543.73603.88343.40612.16121.08532.14864.61944.1029
C61.42642.43782.79762.41991.38542.47033.42153.88293.40102.14251.08583.45662.7232
C71.40792.47033.73604.23923.73602.47032.69094.61035.32374.61032.69091.08481.0848
H82.16831.08582.14863.40553.88343.42152.69092.47214.29954.96874.31862.48973.7720
H93.42862.14251.08532.15693.40613.88294.61032.47212.48564.30174.96874.79515.5669
H103.91583.40102.16121.08452.16123.40105.32374.29952.48562.48564.29955.95585.9558
H113.42863.88293.40612.15691.08532.14254.61034.96874.30172.48562.47215.56694.7951
H122.16833.42153.88343.40552.14861.08582.69094.31864.96874.29952.47213.77202.4897
H132.17562.72324.10294.88754.61943.45661.08482.48974.79515.95585.56693.77201.8592
H142.17563.45664.61944.88754.10292.72321.08483.77205.56695.95584.79512.48971.8592

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 120.987 C1 C2 H8 118.712
C1 C6 C5 120.987 C1 C6 H12 118.712
C1 C7 H13 121.024 C1 C7 H14 121.024
C2 C1 C6 117.420 C2 C1 C7 121.290
C2 C3 C4 120.500 C2 C3 H9 119.767
C3 C2 H8 120.300 C3 C4 C5 119.605
C3 C4 H10 120.197 C4 C3 H9 119.733
C4 C5 C6 120.500 C4 C5 H11 119.733
C5 C1 C7 150.324 C5 C4 H10 120.197
C5 C6 H12 120.300 C6 C5 H11 119.767
H13 C7 H14 117.952
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3PW91/3-21G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.054      
2 C -0.202      
3 C -0.216      
4 C -0.216      
5 C -0.216      
6 C -0.202      
7 C -0.390      
8 H 0.213      
9 H 0.217      
10 H 0.217      
11 H 0.217      
12 H 0.213      
13 H 0.211      
14 H 0.211      


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 -0.040 0.040
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -46.882 0.000 0.000
y 0.000 -35.917 0.000
z 0.000 0.000 -35.989
Traceless
 xyz
x -10.930 0.000 0.000
y 0.000 5.519 0.000
z 0.000 0.000 5.411
Polar
3z2-r210.822
x2-y2-10.965
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 2.677 0.000 0.000
y 0.000 10.807 0.000
z 0.000 0.000 15.019


<r2> (average value of r2) Å2
<r2> 190.385
(<r2>)1/2 13.798