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

using model chemistry: B2PLYP/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 B2PLYP/cc-pVTZ
 hartrees
Energy at 0K-270.755051
Energy at 298.15K-270.762024
HF Energy-270.400870
Nuclear repulsion energy260.992582
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 B2PLYP/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 3218 3088 11.96      
2 A1 3199 3069 4.16      
3 A1 3184 3055 8.23      
4 A1 3173 3044 4.91      
5 A1 1625 1559 1.02      
6 A1 1512 1450 8.31      
7 A1 1504 1443 1.09      
8 A1 1284 1232 1.74      
9 A1 1188 1140 0.01      
10 A1 1052 1010 2.33      
11 A1 1007 966 0.73      
12 A1 841 807 0.46      
13 A1 535 513 0.36      
14 A2 990 950 0.00      
15 A2 853 818 0.00      
16 A2 485 465 0.00      
17 A2 394 378 0.00      
18 B1 1002 961 0.00      
19 B1 921 883 3.81      
20 B1 781 749 56.08      
21 B1 705 676 6.53      
22 B1 693 665 46.00      
23 B1 486 467 15.43      
24 B1 205 197 1.46      
25 B2 3275 3142 6.85      
26 B2 3205 3075 31.68      
27 B2 3187 3057 1.13      
28 B2 1611 1546 0.65      
29 B2 1492 1432 6.73      
30 B2 1364 1308 0.38      
31 B2 1333 1279 0.95      
32 B2 1179 1131 0.06      
33 B2 1127 1081 2.66      
34 B2 981 941 2.05      
35 B2 631 606 0.00      
36 B2 355 341 0.16      

Unscaled Zero Point Vibrational Energy (zpe) 25287.7 cm-1
Scaled (by 0.9594) Zero Point Vibrational Energy (zpe) 24261.0 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 B2PLYP/cc-pVTZ
ABC
0.18679 0.09079 0.06109

See section I.F.4 to change rotational constant units
Geometric Data calculated at B2PLYP/cc-pVTZ

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 0.986
C2 0.000 1.210 0.251
C3 0.000 1.204 -1.128
C4 0.000 0.000 -1.829
C5 0.000 -1.204 -1.128
C6 0.000 -1.210 0.251
C7 0.000 0.000 2.391
H8 0.000 2.147 0.790
H9 0.000 2.140 -1.667
H10 0.000 0.000 -2.909
H11 0.000 -2.140 -1.667
H12 0.000 -2.147 0.790
H13 0.000 0.924 2.948
H14 0.000 -0.924 2.948

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 C7 H8 H9 H10 H11 H12 H13 H14
C11.41592.43302.81572.43301.41591.40452.15573.40943.89563.40942.15572.16812.1681
C21.41591.37832.40622.77972.41942.45841.08132.13193.38353.86033.39962.71223.4391
C32.43301.37831.39372.40842.77973.71892.13701.08072.15033.38793.86104.08504.5977
C42.81572.40621.39371.39372.40624.22023.38682.14661.07992.14663.38684.86574.8657
C52.43302.77972.40841.39371.37833.71893.86103.38792.15031.08072.13704.59774.0850
C61.41592.41942.77972.40621.37832.45843.39963.86033.38352.13191.08133.43912.7122
C71.40452.45843.71894.22023.71892.45842.67794.58815.30014.58812.67791.07891.0789
H82.15571.08132.13703.38683.86103.39962.67792.45754.27724.94174.29362.47993.7530
H93.40942.13191.08072.14663.38793.86034.58812.45752.47464.28094.94174.77275.5399
H103.89563.38352.15031.07992.15033.38355.30014.27722.47462.47464.27725.92945.9294
H113.40943.86033.38792.14661.08072.13194.58814.94174.28092.47462.45755.53994.7727
H122.15573.39963.86103.38682.13701.08132.67794.29364.94174.27722.45753.75302.4799
H132.16812.71224.08504.86574.59773.43911.07892.47994.77275.92945.53993.75301.8482
H142.16813.43914.59774.86574.08502.71221.07893.75305.53995.92944.77272.47991.8482

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 121.079 C1 C2 H8 118.760
C1 C6 C5 121.079 C1 C6 H12 118.760
C1 C7 H13 121.074 C1 C7 H14 121.074
C2 C1 C6 117.384 C2 C1 C7 121.308
C2 C3 C4 120.458 C2 C3 H9 119.730
C3 C2 H8 120.161 C3 C4 C5 119.542
C3 C4 H10 120.229 C4 C3 H9 119.811
C4 C5 C6 120.458 C4 C5 H11 119.811
C5 C1 C7 150.334 C5 C4 H10 120.229
C5 C6 H12 120.161 C6 C5 H11 119.730
H13 C7 H14 117.852
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B2PLYP/cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.132      
2 C -0.137      
3 C -0.125      
4 C -0.135      
5 C -0.125      
6 C -0.137      
7 C -0.318      
8 H 0.117      
9 H 0.125      
10 H 0.127      
11 H 0.125      
12 H 0.117      
13 H 0.117      
14 H 0.117      


Electric dipole moments


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 5.829 0.000 0.000
y 0.000 12.430 0.000
z 0.000 0.000 17.058


<r2> (average value of r2) Å2
<r2> 189.502
(<r2>)1/2 13.766