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

using model chemistry: B3LYP/6-31G

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 2B1
Energy calculated at B3LYP/6-31G
 hartrees
Energy at 0K-270.856195
Energy at 298.15K-270.863223
HF Energy-270.856195
Nuclear repulsion energy259.063503
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 B3LYP/6-31G
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 3225 3102 19.90      
2 A1 3203 3081 9.37      
3 A1 3187 3066 8.67      
4 A1 3175 3054 7.22      
5 A1 1618 1557 1.41      
6 A1 1532 1474 8.36      
7 A1 1527 1469 0.02      
8 A1 1316 1266 2.82      
9 A1 1222 1176 0.00      
10 A1 1052 1012 1.28      
11 A1 1016 977 0.40      
12 A1 841 809 0.31      
13 A1 547 526 0.26      
14 A2 992 954 0.00      
15 A2 854 822 0.00      
16 A2 508 488 0.00      
17 A2 400 385 0.00      
18 B1 1019 980 0.14      
19 B1 923 888 9.05      
20 B1 800 770 79.57      
21 B1 735 707 1.16      
22 B1 700 674 44.14      
23 B1 489 471 11.92      
24 B1 207 199 1.06      
25 B2 3275 3151 13.91      
26 B2 3209 3087 51.65      
27 B2 3189 3068 0.68      
28 B2 1595 1535 1.21      
29 B2 1501 1444 6.17      
30 B2 1391 1338 0.76      
31 B2 1361 1309 0.91      
32 B2 1216 1170 0.04      
33 B2 1142 1098 2.20      
34 B2 992 954 1.18      
35 B2 645 621 0.00      
36 B2 366 352 0.15      

Unscaled Zero Point Vibrational Energy (zpe) 25485.0 cm-1
Scaled (by 0.962) Zero Point Vibrational Energy (zpe) 24516.6 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 B3LYP/6-31G
ABC
0.18368 0.08952 0.06019

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/6-31G

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 0.998
C2 0.000 1.222 0.253
C3 0.000 1.215 -1.137
C4 0.000 0.000 -1.844
C5 0.000 -1.215 -1.137
C6 0.000 -1.222 0.253
C7 0.000 0.000 2.408
H8 0.000 2.163 0.795
H9 0.000 2.155 -1.680
H10 0.000 0.000 -2.930
H11 0.000 -2.155 -1.680
H12 0.000 -2.163 0.795
H13 0.000 0.927 2.971
H14 0.000 -0.927 2.971

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 C7 H8 H9 H10 H11 H12 H13 H14
C11.43082.45632.84222.45631.43081.41042.17263.43753.92733.43752.17262.18042.1804
C21.43081.38982.42712.80522.44322.47751.08622.14663.40883.89103.42782.73433.4650
C32.45631.38981.40612.43022.80523.74762.15171.08582.16563.41393.89144.11834.6332
C42.84222.42711.40611.40612.42714.25263.41232.16161.08512.16163.41234.90414.9041
C52.45632.80522.43021.40611.38983.74763.89143.41392.16561.08582.15174.63324.1183
C61.43082.44322.80522.42711.38982.47753.42783.89103.40882.14661.08623.46502.7343
C71.41042.47753.74764.25263.74762.47752.69864.62165.33774.62162.69861.08461.0846
H82.17261.08622.15173.41233.89143.42782.69862.47474.30684.97724.32612.50313.7797
H93.43752.14661.08582.16163.41393.89104.62162.47472.49134.31074.97724.81075.5799
H103.92733.40882.16561.08512.16563.40885.33774.30682.49132.49134.30685.97325.9732
H113.43753.89103.41392.16161.08582.14664.62164.97724.31072.49132.47475.57994.8107
H122.17263.42783.89143.41232.15171.08622.69864.32614.97724.30682.47473.77972.5031
H132.18042.73434.11834.90414.63323.46501.08462.50314.81075.97325.57993.77971.8541
H142.18043.46504.63324.90414.11832.73431.08463.77975.57995.97324.81072.50311.8541

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 121.107 C1 C2 H8 118.706
C1 C6 C5 121.107 C1 C6 H12 118.706
C1 C7 H13 121.273 C1 C7 H14 121.273
C2 C1 C6 117.251 C2 C1 C7 121.375
C2 C3 C4 120.477 C2 C3 H9 119.744
C3 C2 H8 120.187 C3 C4 C5 119.580
C3 C4 H10 120.210 C4 C3 H9 119.779
C4 C5 C6 120.477 C4 C5 H11 119.779
C5 C1 C7 150.351 C5 C4 H10 120.210
C5 C6 H12 120.187 C6 C5 H11 119.744
H13 C7 H14 117.453
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/6-31G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.135      
2 C -0.153      
3 C -0.126      
4 C -0.124      
5 C -0.126      
6 C -0.153      
7 C -0.338      
8 H 0.124      
9 H 0.126      
10 H 0.126      
11 H 0.126      
12 H 0.124      
13 H 0.129      
14 H 0.129      


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 -0.131 0.131
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -45.456 0.000 0.000
y 0.000 -36.973 0.000
z 0.000 0.000 -37.336
Traceless
 xyz
x -8.301 0.000 0.000
y 0.000 4.423 0.000
z 0.000 0.000 3.878
Polar
3z2-r27.756
x2-y2-8.483
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.237 0.000 0.000
y 0.000 11.319 0.000
z 0.000 0.000 15.734


<r2> (average value of r2) Å2
<r2> 191.535
(<r2>)1/2 13.840