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

using model chemistry: wB97X-D/aug-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 wB97X-D/aug-cc-pVTZ
 hartrees
Energy at 0K-270.907815
Energy at 298.15K-270.914790
HF Energy-270.907815
Nuclear repulsion energy261.268011
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 wB97X-D/aug-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 3226 3086 11.77      
2 A1 3206 3067 4.12      
3 A1 3192 3053 6.44      
4 A1 3168 3031 7.02      
5 A1 1622 1552 0.82      
6 A1 1515 1450 8.53      
7 A1 1501 1436 1.76      
8 A1 1290 1234 1.72      
9 A1 1194 1142 0.03      
10 A1 1050 1004 2.51      
11 A1 1002 959 0.78      
12 A1 842 805 0.31      
13 A1 537 513 0.26      
14 A2 994 951 0.00      
15 A2 844 808 0.00      
16 A2 495 473 0.00      
17 A2 391 374 0.00      
18 B1 1006 962 0.03      
19 B1 916 876 5.17      
20 B1 783 749 53.03      
21 B1 716 685 3.49      
22 B1 688 658 55.48      
23 B1 483 462 17.39      
24 B1 199 190 1.65      
25 B2 3269 3127 7.14      
26 B2 3212 3073 30.28      
27 B2 3194 3055 1.15      
28 B2 1605 1535 0.63      
29 B2 1489 1425 5.65      
30 B2 1365 1305 0.45      
31 B2 1329 1271 0.43      
32 B2 1176 1125 0.10      
33 B2 1127 1078 3.05      
34 B2 981 939 2.06      
35 B2 629 602 0.00      
36 B2 363 347 0.13      

Unscaled Zero Point Vibrational Energy (zpe) 25298.2 cm-1
Scaled (by 0.9566) Zero Point Vibrational Energy (zpe) 24200.2 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 wB97X-D/aug-cc-pVTZ
ABC
0.18683 0.09115 0.06126

See section I.F.4 to change rotational constant units
Geometric Data calculated at wB97X-D/aug-cc-pVTZ

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 0.988
C2 0.000 1.210 0.251
C3 0.000 1.204 -1.127
C4 0.000 0.000 -1.829
C5 0.000 -1.204 -1.127
C6 0.000 -1.210 0.251
C7 0.000 0.000 2.390
H8 0.000 2.149 0.790
H9 0.000 2.141 -1.669
H10 0.000 0.000 -2.910
H11 0.000 -2.141 -1.669
H12 0.000 -2.149 0.790
H13 0.000 0.926 2.947
H14 0.000 -0.926 2.947

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 C7 H8 H9 H10 H11 H12 H13 H14
C11.41702.43362.81662.43361.41701.40172.15773.41163.89783.41162.15772.16682.1668
C21.41701.37762.40572.77942.42022.45761.08262.13283.38423.86143.40182.71133.4399
C32.43361.37761.39342.40782.77943.71702.13731.08212.15133.38813.86204.08344.5970
C42.81662.40571.39341.39342.40574.21833.38752.14671.08122.14673.38754.86454.8645
C52.43362.77942.40781.39341.37763.71703.86203.38812.15131.08212.13734.59704.0834
C61.41702.42022.77942.40571.37762.45763.40183.86143.38422.13281.08263.43992.7113
C71.40172.45763.71704.21833.71702.45762.67854.58815.29954.58812.67851.08071.0807
H82.15771.08262.13733.38753.86203.40182.67852.45874.27874.94404.29722.47923.7555
H93.41162.13281.08212.14673.38813.86144.58812.45872.47464.28144.94404.77265.5413
H103.89783.38422.15131.08122.15133.38425.29954.27872.47462.47464.27875.92955.9295
H113.41163.86143.38812.14671.08212.13284.58814.94404.28142.47462.45875.54134.7726
H122.15773.40183.86203.38752.13731.08262.67854.29724.94404.27872.45873.75552.4792
H132.16682.71134.08344.86454.59703.43991.08072.47924.77265.92955.54133.75551.8518
H142.16683.43994.59704.86454.08342.71131.08073.75555.54135.92954.77262.47921.8518

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 121.097 C1 C2 H8 118.746
C1 C6 C5 121.097 C1 C6 H12 118.746
C1 C7 H13 121.042 C1 C7 H14 121.042
C2 C1 C6 117.290 C2 C1 C7 121.355
C2 C3 C4 120.493 C2 C3 H9 119.770
C3 C2 H8 120.157 C3 C4 C5 119.529
C3 C4 H10 120.235 C4 C3 H9 119.737
C4 C5 C6 120.493 C4 C5 H11 119.737
C5 C1 C7 150.350 C5 C4 H10 120.235
C5 C6 H12 120.157 C6 C5 H11 119.770
H13 C7 H14 117.915
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at wB97X-D/aug-cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 1.427      
2 C -0.922      
3 C -0.423      
4 C -0.424      
5 C -0.423      
6 C -0.922      
7 C -1.191      
8 H 0.457      
9 H 0.413      
10 H 0.526      
11 H 0.413      
12 H 0.457      
13 H 0.306      
14 H 0.306      


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 -0.099 0.099
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -46.303 0.000 0.000
y 0.000 -37.097 0.000
z 0.000 0.000 -37.587
Traceless
 xyz
x -8.961 0.000 0.000
y 0.000 4.848 0.000
z 0.000 0.000 4.113
Polar
3z2-r28.225
x2-y2-9.206
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 7.686 0.000 0.000
y 0.000 12.892 0.000
z 0.000 0.000 17.658


<r2> (average value of r2) Å2
<r2> 188.928
(<r2>)1/2 13.745