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

using model chemistry: M06-2X/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 M06-2X/3-21G*
 hartrees
Energy at 0K-269.292832
Energy at 298.15K-269.299919
HF Energy-269.292832
Nuclear repulsion energy259.857938
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 M06-2X/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 3228 3057 4.65      
2 A1 3206 3036 3.19      
3 A1 3197 3029 6.23      
4 A1 3194 3025 0.76      
5 A1 1625 1539 2.20      
6 A1 1535 1454 0.15      
7 A1 1520 1440 9.21      
8 A1 1291 1223 5.14      
9 A1 1214 1150 0.69      
10 A1 1061 1005 1.61      
11 A1 1024 970 0.11      
12 A1 848 804 0.36      
13 A1 552 523 0.64      
14 A2 1033 979 0.00      
15 A2 874 828 0.00      
16 A2 501 474 0.00      
17 A2 407 386 0.00      
18 B1 1061 1005 0.05      
19 B1 954 904 5.25      
20 B1 808 766 77.13      
21 B1 729 690 0.00      
22 B1 719 681 68.91      
23 B1 489 463 19.95      
24 B1 212 200 1.95      
25 B2 3299 3125 3.62      
26 B2 3218 3048 13.00      
27 B2 3197 3029 1.21      
28 B2 1607 1522 2.12      
29 B2 1511 1431 9.37      
30 B2 1399 1325 1.15      
31 B2 1308 1239 0.63      
32 B2 1223 1158 0.19      
33 B2 1149 1088 2.98      
34 B2 998 945 0.78      
35 B2 655 620 0.01      
36 B2 373 353 0.36      

Unscaled Zero Point Vibrational Energy (zpe) 25608.4 cm-1
Scaled (by 0.9472) Zero Point Vibrational Energy (zpe) 24256.2 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 M06-2X/3-21G*
ABC
0.18492 0.09007 0.06057

See section I.F.4 to change rotational constant units
Geometric Data calculated at M06-2X/3-21G*

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 0.989
C2 0.000 1.217 0.253
C3 0.000 1.211 -1.134
C4 0.000 0.000 -1.838
C5 0.000 -1.211 -1.134
C6 0.000 -1.217 0.253
C7 0.000 0.000 2.403
H8 0.000 2.155 0.797
H9 0.000 2.148 -1.677
H10 0.000 0.000 -2.920
H11 0.000 -2.148 -1.677
H12 0.000 -2.155 0.797
H13 0.000 0.928 2.961
H14 0.000 -0.928 2.961

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 C7 H8 H9 H10 H11 H12 H13 H14
C11.42282.44422.82732.44421.42281.41392.16383.42423.90993.42422.16382.17912.1791
C21.42281.38642.41922.79622.43452.47121.08462.14253.39863.87963.41622.72353.4551
C32.44421.38641.40092.42202.79623.73862.14951.08342.15853.40303.88074.10424.6197
C42.82732.41921.40091.40092.41924.24123.40432.15441.08262.15443.40434.88774.8877
C52.44422.79622.42201.40091.38643.73863.88073.40302.15851.08342.14954.61974.1042
C61.42282.43452.79622.41921.38642.47123.41623.87963.39862.14251.08463.45512.7235
C71.41392.47123.73864.24123.73862.47122.68784.61135.32384.61132.68781.08291.0829
H82.16381.08462.14953.40433.88073.41622.68782.47424.29734.96424.31052.48723.7668
H93.42422.14251.08342.15443.40303.87964.61132.47422.48244.29684.96424.79555.5655
H103.90993.39862.15851.08262.15853.39865.32384.29732.48242.48244.29735.95415.9541
H113.42423.87963.40302.15441.08342.14254.61134.96424.29682.48242.47425.56554.7955
H122.16383.41623.88073.40432.14951.08462.68784.31054.96424.29732.47423.76682.4872
H132.17912.72354.10424.88774.61973.45511.08292.48724.79555.95415.56553.76681.8567
H142.17913.45514.61974.88774.10422.72351.08293.76685.56555.95414.79552.48721.8567

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 120.923 C1 C2 H8 118.676
C1 C6 C5 120.923 C1 C6 H12 118.676
C1 C7 H13 120.985 C1 C7 H14 120.985
C2 C1 C6 117.635 C2 C1 C7 121.182
C2 C3 C4 120.439 C2 C3 H9 119.832
C3 C2 H8 120.401 C3 C4 C5 119.642
C3 C4 H10 120.179 C4 C3 H9 119.729
C4 C5 C6 120.439 C4 C5 H11 119.729
C5 C1 C7 150.300 C5 C4 H10 120.179
C5 C6 H12 120.401 C6 C5 H11 119.832
H13 C7 H14 118.030
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at M06-2X/3-21G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.100      
2 C -0.186      
3 C -0.208      
4 C -0.213      
5 C -0.208      
6 C -0.186      
7 C -0.338      
8 H 0.204      
9 H 0.211      
10 H 0.210      
11 H 0.211      
12 H 0.204      
13 H 0.200      
14 H 0.200      


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 0.045 0.045
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -47.170 0.000 0.000
y 0.000 -36.422 0.000
z 0.000 0.000 -36.275
Traceless
 xyz
x -10.822 0.000 0.000
y 0.000 5.300 0.000
z 0.000 0.000 5.522
Polar
3z2-r211.043
x2-y2-10.748
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 2.643 0.000 0.000
y 0.000 10.683 0.000
z 0.000 0.000 14.918


<r2> (average value of r2) Å2
<r2> 190.523
(<r2>)1/2 13.803