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

using model chemistry: B97D3/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 B97D3/TZVP
 hartrees
Energy at 0K-270.821084
Energy at 298.15K-270.827806
HF Energy-270.821084
Nuclear repulsion energy259.568201
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 B97D3/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 3144 3099 16.25      
2 A1 3126 3081 6.78      
3 A1 3111 3066 10.48      
4 A1 3101 3056 6.15      
5 A1 1567 1545 0.69      
6 A1 1480 1459 10.04      
7 A1 1465 1444 0.01      
8 A1 1278 1260 1.29      
9 A1 1171 1154 0.23      
10 A1 1017 1002 2.51      
11 A1 982 968 0.86      
12 A1 819 807 0.42      
13 A1 527 519 0.20      
14 A2 910 897 0.00      
15 A2 797 785 0.00      
16 A2 489 482 0.00      
17 A2 371 366 0.00      
18 B1 932 918 0.00      
19 B1 853 841 5.24      
20 B1 736 725 74.93      
21 B1 685 676 0.13      
22 B1 642 633 38.82      
23 B1 455 448 13.83      
24 B1 187 184 1.34      
25 B2 3198 3152 10.88      
26 B2 3130 3085 45.64      
27 B2 3113 3069 0.52      
28 B2 1539 1517 0.89      
29 B2 1446 1425 4.43      
30 B2 1335 1316 0.07      
31 B2 1316 1298 1.44      
32 B2 1161 1145 0.04      
33 B2 1098 1082 3.15      
34 B2 953 940 1.90      
35 B2 618 609 0.00      
36 B2 356 351 0.16      

Unscaled Zero Point Vibrational Energy (zpe) 24554.5 cm-1
Scaled (by 0.9856) Zero Point Vibrational Energy (zpe) 24200.9 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 B97D3/TZVP
ABC
0.18419 0.09002 0.06047

See section I.F.4 to change rotational constant units
Geometric Data calculated at B97D3/TZVP

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 0.996
C2 0.000 1.220 0.252
C3 0.000 1.213 -1.133
C4 0.000 0.000 -1.840
C5 0.000 -1.213 -1.133
C6 0.000 -1.220 0.252
C7 0.000 0.000 2.401
H8 0.000 2.163 0.794
H9 0.000 2.155 -1.678
H10 0.000 0.000 -2.926
H11 0.000 -2.155 -1.678
H12 0.000 -2.163 0.794
H13 0.000 0.930 2.961
H14 0.000 -0.930 2.961

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 C7 H8 H9 H10 H11 H12 H13 H14
C11.42862.45052.83572.45051.42861.40462.17233.43393.92263.43392.17232.17392.1739
C21.42861.38552.42132.79922.43922.47051.08802.14443.40463.88713.42572.72423.4583
C32.45051.38551.40342.42542.79923.73632.14921.08792.16473.41103.88724.10404.6212
C42.83572.42131.40341.40342.42134.24033.40822.16061.08692.16063.40824.88984.8898
C52.45052.79922.42541.40341.38553.73633.88723.41102.16471.08792.14924.62124.1040
C61.42862.43922.79922.42131.38552.47053.42573.88713.40462.14441.08803.45832.7242
C71.40462.47053.73634.24033.73632.47052.69424.61255.32714.61252.69421.08601.0860
H82.17231.08802.14923.40823.88723.42572.69422.47214.30384.97514.32582.49273.7765
H93.43392.14441.08792.16063.41103.88714.61252.47212.49034.30914.97514.79755.5707
H103.92263.40462.16471.08692.16473.40465.32714.30382.49032.49034.30385.96055.9605
H113.43393.88713.41102.16061.08792.14444.61254.97514.30912.49032.47215.57074.7975
H122.17233.42573.88723.40822.14921.08802.69424.32584.97514.30382.47213.77652.4927
H132.17392.72424.10404.88984.62123.45831.08602.49274.79755.96055.57073.77651.8605
H142.17393.45834.62124.88984.10402.72421.08603.77655.57075.96054.79752.49271.8605

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 121.096 C1 C2 H8 118.728
C1 C6 C5 121.096 C1 C6 H12 118.728
C1 C7 H13 121.060 C1 C7 H14 121.060
C2 C1 C6 117.235 C2 C1 C7 121.383
C2 C3 C4 120.503 C2 C3 H9 119.741
C3 C2 H8 120.177 C3 C4 C5 119.567
C3 C4 H10 120.217 C4 C3 H9 119.756
C4 C5 C6 120.503 C4 C5 H11 119.756
C5 C1 C7 150.339 C5 C4 H10 120.217
C5 C6 H12 120.177 C6 C5 H11 119.741
H13 C7 H14 117.881
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B97D3/TZVP Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.183      
2 C -0.139      
3 C -0.075      
4 C -0.091      
5 C -0.075      
6 C -0.139      
7 C -0.303      
8 H 0.080      
9 H 0.083      
10 H 0.088      
11 H 0.083      
12 H 0.080      
13 H 0.113      
14 H 0.113      


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 -46.379 0.000 0.000
y 0.000 -37.358 0.000
z 0.000 0.000 -37.909
Traceless
 xyz
x -8.745 0.000 0.000
y 0.000 4.786 0.000
z 0.000 0.000 3.959
Polar
3z2-r27.918
x2-y2-9.020
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 6.457 0.000 0.000
y 0.000 12.586 0.000
z 0.000 0.000 17.797


<r2> (average value of r2) Å2
<r2> 191.197
(<r2>)1/2 13.827