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

using model chemistry: B3LYP/TZVP

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/TZVP
 hartrees
Energy at 0K-271.006816
Energy at 298.15K-271.013713
HF Energy-271.006816
Nuclear repulsion energy260.430918
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/TZVP
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 3197 3087 11.90      
2 A1 3180 3070 4.95      
3 A1 3166 3056 7.63      
4 A1 3152 3043 4.56      
5 A1 1598 1543 0.97      
6 A1 1505 1453 11.03      
7 A1 1496 1444 0.12      
8 A1 1291 1246 1.56      
9 A1 1190 1148 0.14      
10 A1 1038 1002 2.51      
11 A1 999 964 0.91      
12 A1 833 804 0.40      
13 A1 537 518 0.23      
14 A2 954 921 0.00      
15 A2 828 799 0.00      
16 A2 500 483 0.00      
17 A2 387 373 0.00      
18 B1 970 937 0.00      
19 B1 890 859 5.14      
20 B1 763 737 87.56      
21 B1 711 686 0.06      
22 B1 663 640 37.17      
23 B1 473 457 14.86      
24 B1 197 190 1.44      
25 B2 3248 3136 8.24      
26 B2 3184 3074 33.85      
27 B2 3168 3058 0.49      
28 B2 1576 1522 1.13      
29 B2 1478 1426 5.32      
30 B2 1358 1311 0.30      
31 B2 1327 1281 0.84      
32 B2 1181 1140 0.05      
33 B2 1120 1081 3.22      
34 B2 972 939 1.88      
35 B2 631 609 0.00      
36 B2 362 349 0.15      

Unscaled Zero Point Vibrational Energy (zpe) 25059.8 cm-1
Scaled (by 0.9654) Zero Point Vibrational Energy (zpe) 24192.7 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/TZVP
ABC
0.18561 0.09053 0.06085

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/TZVP

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 0.991
C2 0.000 1.215 0.251
C3 0.000 1.208 -1.130
C4 0.000 0.000 -1.832
C5 0.000 -1.208 -1.130
C6 0.000 -1.215 0.251
C7 0.000 0.000 2.394
H8 0.000 2.155 0.790
H9 0.000 2.145 -1.674
H10 0.000 0.000 -2.915
H11 0.000 -2.145 -1.674
H12 0.000 -2.155 0.790
H13 0.000 0.923 2.958
H14 0.000 -0.923 2.958

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 C7 H8 H9 H10 H11 H12 H13 H14
C11.42262.44112.82292.44111.42261.40322.16413.42103.90563.42102.16412.17332.1733
C21.42261.38162.41172.78942.43042.46351.08302.13813.39113.87273.41272.72273.4499
C32.44111.38161.39702.41612.78943.72582.14091.08332.15483.39693.87254.09854.6109
C42.82292.41171.39701.39702.41174.22613.39372.15091.08272.15093.39374.87844.8784
C52.44112.78942.41611.39701.38163.72583.87253.39692.15481.08332.14094.61094.0985
C61.42262.43042.78942.41171.38162.46353.41273.87273.39112.13811.08303.44992.7227
C71.40322.46353.72584.22613.72582.46352.68644.59915.30884.59912.68641.08211.0821
H82.16411.08302.14093.39373.87253.41272.68642.46404.28564.95584.30962.49373.7653
H93.42102.13811.08332.15093.39693.87274.59912.46402.47804.29014.95584.79085.5565
H103.90563.39112.15481.08272.15483.39115.30884.28562.47802.47804.28565.94515.9451
H113.42103.87273.39692.15091.08332.13814.59914.95584.29012.47802.46405.55654.7908
H122.16413.41273.87253.39372.14091.08302.68644.30964.95584.28562.46403.76532.4937
H132.17332.72274.09854.87844.61093.44991.08212.49374.79085.94515.55653.76531.8468
H142.17333.44994.61094.87844.09852.72271.08213.76535.55655.94514.79082.49371.8468

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 121.033 C1 C2 H8 118.847
C1 C6 C5 121.033 C1 C6 H12 118.847
C1 C7 H13 121.424 C1 C7 H14 121.424
C2 C1 C6 117.343 C2 C1 C7 121.328
C2 C3 C4 120.443 C2 C3 H9 119.831
C3 C2 H8 120.120 C3 C4 C5 119.706
C3 C4 H10 120.147 C4 C3 H9 119.727
C4 C5 C6 120.443 C4 C5 H11 119.727
C5 C1 C7 150.338 C5 C4 H10 120.147
C5 C6 H12 120.120 C6 C5 H11 119.831
H13 C7 H14 117.152
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/TZVP Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.096      
2 C -0.139      
3 C -0.104      
4 C -0.115      
5 C -0.104      
6 C -0.139      
7 C -0.278      
8 H 0.109      
9 H 0.111      
10 H 0.114      
11 H 0.111      
12 H 0.109      
13 H 0.115      
14 H 0.115      


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 -0.152 0.152
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -46.784 0.000 0.000
y 0.000 -37.532 0.000
z 0.000 0.000 -38.145
Traceless
 xyz
x -8.946 0.000 0.000
y 0.000 4.932 0.000
z 0.000 0.000 4.014
Polar
3z2-r28.027
x2-y2-9.252
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 6.397 0.000 0.000
y 0.000 12.286 0.000
z 0.000 0.000 17.287


<r2> (average value of r2) Å2
<r2> 190.325
(<r2>)1/2 13.796