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

using model chemistry: B3LYPultrafine/cc-pVTZ

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 2B1
Energy calculated at B3LYPultrafine/cc-pVTZ
 hartrees
Energy at 0K-271.012822
Energy at 298.15K-271.019789
HF Energy-271.012822
Nuclear repulsion energy260.698613
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 B3LYPultrafine/cc-pVTZ
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 3192 3086 13.06      
2 A1 3174 3068 5.90      
3 A1 3159 3054 7.86      
4 A1 3147 3043 4.83      
5 A1 1599 1546 1.12      
6 A1 1507 1457 9.62      
7 A1 1496 1446 0.19      
8 A1 1291 1248 1.65      
9 A1 1188 1148 0.08      
10 A1 1038 1004 2.01      
11 A1 1000 966 0.85      
12 A1 833 806 0.36      
13 A1 536 518 0.22      
14 A2 981 948 0.00      
15 A2 836 809 0.00      
16 A2 509 492 0.00      
17 A2 394 381 0.00      
18 B1 996 963 0.00      
19 B1 907 877 5.42      
20 B1 781 755 53.70      
21 B1 719 695 2.80      
22 B1 689 666 48.12      
23 B1 481 465 14.25      
24 B1 200 193 1.20      
25 B2 3242 3134 8.44      
26 B2 3179 3073 36.84      
27 B2 3162 3057 0.38      
28 B2 1578 1526 1.05      
29 B2 1479 1430 5.62      
30 B2 1359 1314 0.37      
31 B2 1329 1284 0.93      
32 B2 1177 1137 0.06      
33 B2 1120 1082 2.42      
34 B2 974 941 1.83      
35 B2 630 609 0.01      
36 B2 359 347 0.12      

Unscaled Zero Point Vibrational Energy (zpe) 25119.4 cm-1
Scaled (by 0.9667) Zero Point Vibrational Energy (zpe) 24282.9 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 B3LYPultrafine/cc-pVTZ
ABC
0.18596 0.09072 0.06097

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYPultrafine/cc-pVTZ

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 0.990
C2 0.000 1.214 0.251
C3 0.000 1.207 -1.129
C4 0.000 0.000 -1.830
C5 0.000 -1.207 -1.129
C6 0.000 -1.214 0.251
C7 0.000 0.000 2.391
H8 0.000 2.152 0.790
H9 0.000 2.143 -1.672
H10 0.000 0.000 -2.911
H11 0.000 -2.143 -1.672
H12 0.000 -2.152 0.790
H13 0.000 0.922 2.954
H14 0.000 -0.922 2.954

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 C7 H8 H9 H10 H11 H12 H13 H14
C11.42092.43832.81952.43831.42091.40152.16143.41713.90093.41712.16142.17042.1704
C21.42091.38012.40912.78662.42782.46041.08182.13573.38733.86863.40882.71893.4455
C32.43831.38011.39572.41392.78663.72132.13881.08212.15253.39363.86844.09324.6052
C42.81952.40911.39571.39572.40914.22103.39012.14871.08142.14873.39014.87234.8723
C52.43832.78662.41391.39571.38013.72133.86843.39362.15251.08212.13884.60524.0932
C61.42092.42782.78662.40911.38012.46043.40883.86863.38732.13571.08183.44552.7189
C71.40152.46043.72134.22103.72132.46042.68264.59375.30244.59372.68261.08081.0808
H82.16141.08182.13883.39013.86843.40882.68262.46174.28114.95044.30422.48953.7602
H93.41712.13571.08212.14873.39363.86864.59372.46172.47544.28574.95044.78465.5497
H103.90093.38732.15251.08142.15253.38735.30244.28112.47542.47544.28115.93765.9376
H113.41713.86863.39362.14871.08212.13574.59374.95044.28572.47542.46175.54974.7846
H122.16143.40883.86843.39012.13881.08182.68264.30424.95044.28112.46173.76022.4895
H132.17042.71894.09324.87234.60523.44551.08082.48954.78465.93765.54973.76021.8450
H142.17043.44554.60524.87234.09322.71891.08083.76025.54975.93764.78462.48951.8450

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 121.030 C1 C2 H8 118.824
C1 C6 C5 121.030 C1 C6 H12 118.824
C1 C7 H13 121.402 C1 C7 H14 121.402
C2 C1 C6 117.364 C2 C1 C7 121.318
C2 C3 C4 120.431 C2 C3 H9 119.836
C3 C2 H8 120.146 C3 C4 C5 119.715
C3 C4 H10 120.143 C4 C3 H9 119.733
C4 C5 C6 120.431 C4 C5 H11 119.733
C5 C1 C7 150.330 C5 C4 H10 120.143
C5 C6 H12 120.146 C6 C5 H11 119.836
H13 C7 H14 117.196
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYPultrafine/cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.132      
2 C -0.112      
3 C -0.108      
4 C -0.113      
5 C -0.108      
6 C -0.112      
7 C -0.300      
8 H 0.097      
9 H 0.105      
10 H 0.107      
11 H 0.105      
12 H 0.097      
13 H 0.104      
14 H 0.104      


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 -0.143 0.143
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -46.190 0.000 0.000
y 0.000 -37.564 -0.001
z 0.000 -0.001 -38.072
Traceless
 xyz
x -8.372 0.000 0.000
y 0.000 4.567 -0.001
z 0.000 -0.001 3.805
Polar
3z2-r27.610
x2-y2-8.626
xy0.000
xz0.000
yz-0.001


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 5.837 0.000 0.000
y 0.000 12.404 -0.003
z 0.000 -0.003 17.246


<r2> (average value of r2) Å2
<r2> 189.848
(<r2>)1/2 13.779