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

using model chemistry: TPSSh/6-31+G**

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 2B1
Energy calculated at TPSSh/6-31+G**
 hartrees
Energy at 0K-270.956078
Energy at 298.15K-270.962906
HF Energy-270.956078
Nuclear repulsion energy259.234220
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 TPSSh/6-31+G**
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 3209 3089 18.17      
2 A1 3190 3070 6.96      
3 A1 3175 3056 9.75      
4 A1 3162 3044 9.33      
5 A1 1603 1543 0.54      
6 A1 1514 1457 5.77      
7 A1 1502 1446 1.28      
8 A1 1287 1239 1.36      
9 A1 1189 1144 0.16      
10 A1 1036 997 2.35      
11 A1 990 952 0.66      
12 A1 826 795 0.30      
13 A1 522 503 0.31      
14 A2 972 935 0.00      
15 A2 832 801 0.00      
16 A2 491 473 0.00      
17 A2 384 370 0.00      
18 B1 985 948 0.00      
19 B1 897 864 5.32      
20 B1 765 737 78.89      
21 B1 701 674 1.99      
22 B1 677 652 53.03      
23 B1 470 453 16.42      
24 B1 197 190 1.64      
25 B2 3261 3139 11.54      
26 B2 3196 3076 47.97      
27 B2 3177 3058 2.21      
28 B2 1583 1523 0.48      
29 B2 1477 1421 4.26      
30 B2 1363 1312 0.03      
31 B2 1346 1295 1.25      
32 B2 1178 1133 0.01      
33 B2 1117 1075 3.05      
34 B2 972 936 2.26      
35 B2 616 593 0.00      
36 B2 344 331 0.10      

Unscaled Zero Point Vibrational Energy (zpe) 25101.7 cm-1
Scaled (by 0.9625) Zero Point Vibrational Energy (zpe) 24160.4 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 TPSSh/6-31+G**
ABC
0.18403 0.08963 0.06027

See section I.F.4 to change rotational constant units
Geometric Data calculated at TPSSh/6-31+G**

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 0.253
C3 0.000 1.214 -1.136
C4 0.000 0.000 -1.843
C5 0.000 -1.214 -1.136
C6 0.000 -1.220 0.253
C7 0.000 0.000 2.407
H8 0.000 2.163 0.794
H9 0.000 2.156 -1.679
H10 0.000 0.000 -2.929
H11 0.000 -2.156 -1.679
H12 0.000 -2.163 0.794
H13 0.000 0.929 2.969
H14 0.000 -0.929 2.969

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 C7 H8 H9 H10 H11 H12 H13 H14
C11.42882.45402.83962.45401.42881.41122.17293.43563.92563.43562.17292.18072.1807
C21.42881.38942.42572.80322.44072.47601.08712.14653.40843.88983.42672.73163.4636
C32.45401.38941.40522.42862.80323.74602.15071.08662.16563.41343.89034.11534.6312
C42.83962.42571.40521.40522.42574.25083.41092.16201.08602.16203.41094.90134.9013
C52.45402.80322.42861.40521.38943.74603.89033.41342.16561.08662.15074.63124.1153
C61.42882.44072.80322.42571.38942.47603.42673.88983.40842.14651.08713.46362.7316
C71.41122.47603.74604.25083.74602.47602.69904.62015.33684.62012.69901.08561.0856
H82.17291.08712.15073.41093.89033.42672.69902.47274.30604.97684.32692.50133.7810
H93.43562.14651.08662.16203.41343.88984.62012.47272.49214.31144.97684.80725.5785
H103.92563.40842.16561.08602.16563.40845.33684.30602.49212.49214.30605.97125.9712
H113.43563.88983.41342.16201.08662.14654.62014.97684.31142.49212.47275.57854.8072
H122.17293.42673.89033.41092.15071.08712.69904.32694.97684.30602.47273.78102.5013
H132.18072.73164.11534.90134.63123.46361.08562.50134.80725.97125.57853.78101.8580
H142.18073.46364.63124.90134.11532.73161.08563.78105.57855.97124.80722.50131.8580

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 121.091 C1 C2 H8 118.837
C1 C6 C5 121.091 C1 C6 H12 118.837
C1 C7 H13 121.157 C1 C7 H14 121.157
C2 C1 C6 117.319 C2 C1 C7 121.340
C2 C3 C4 120.461 C2 C3 H9 119.712
C3 C2 H8 120.072 C3 C4 C5 119.578
C3 C4 H10 120.211 C4 C3 H9 119.828
C4 C5 C6 120.461 C4 C5 H11 119.828
C5 C1 C7 150.342 C5 C4 H10 120.211
C5 C6 H12 120.072 C6 C5 H11 119.712
H13 C7 H14 117.686
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at TPSSh/6-31+G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.616      
2 C -0.337      
3 C -0.157      
4 C -0.178      
5 C -0.157      
6 C -0.337      
7 C -0.494      
8 H 0.146      
9 H 0.150      
10 H 0.150      
11 H 0.150      
12 H 0.146      
13 H 0.151      
14 H 0.151      


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 -0.116 0.116
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 6.937 0.000 0.000
y 0.000 12.614 0.000
z 0.000 0.000 17.622


<r2> (average value of r2) Å2
<r2> 191.719
(<r2>)1/2 13.846