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

using model chemistry: G4

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 2B1
Energy calculated at G4
 hartrees
Energy at 0K-270.734682
Energy at 298.15K-270.727981
HF Energy-270.934152
Nuclear repulsion energy260.187808
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 B3LYP/6-31G(2df,p)
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 3200 3088 13.74      
2 A1 3181 3070 5.67      
3 A1 3166 3055 8.90      
4 A1 3156 3046 3.23      
5 A1 1597 1541 1.33      
6 A1 1502 1449 6.88      
7 A1 1493 1441 0.02      
8 A1 1291 1246 2.44      
9 A1 1186 1145 0.02      
10 A1 1037 1001 1.17      
11 A1 992 957 0.44      
12 A1 831 802 0.26      
13 A1 530 512 0.27      
14 A2 950 916 0.00      
15 A2 841 811 0.00      
16 A2 507 489 0.00      
17 A2 390 377 0.00      
18 B1 981 946 0.05      
19 B1 895 863 4.83      
20 B1 781 754 44.86      
21 B1 712 687 0.72      
22 B1 689 665 35.80      
23 B1 483 466 8.74      
24 B1 203 195 0.74      
25 B2 3254 3140 8.20      
26 B2 3186 3074 38.46      
27 B2 3168 3057 0.53      
28 B2 1574 1519 0.97      
29 B2 1471 1420 6.31      
30 B2 1347 1300 0.16      
31 B2 1331 1284 1.62      
32 B2 1175 1134 0.04      
33 B2 1117 1078 1.63      
34 B2 972 938 1.64      
35 B2 623 602 0.01      
36 B2 355 343 0.06      

Unscaled Zero Point Vibrational Energy (zpe) 25083.4 cm-1
Scaled (by 0.965) Zero Point Vibrational Energy (zpe) 24205.5 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 B3LYP/6-31G(2df,p)
ABC
0.18530 0.09038 0.06075

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/6-31G(2df,p)

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 0.994
C2 0.000 1.216 0.251
C3 0.000 1.209 -1.131
C4 0.000 0.000 -1.836
C5 0.000 -1.209 -1.131
C6 0.000 -1.216 0.251
C7 0.000 0.000 2.396
H8 0.000 2.156 0.793
H9 0.000 2.150 -1.673
H10 0.000 0.000 -2.920
H11 0.000 -2.150 -1.673
H12 0.000 -2.156 0.793
H13 0.000 0.927 2.957
H14 0.000 -0.927 2.957

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 C7 H8 H9 H10 H11 H12 H13 H14
C11.42432.44472.82932.44471.42431.40272.16563.42533.91383.42532.16562.17152.1715
C21.42431.38232.41522.79122.43122.46551.08572.13923.39643.87663.41522.72133.4516
C32.44471.38231.39962.41852.79123.72892.14481.08542.15943.40233.87694.09804.6128
C42.82932.41521.39961.39962.41524.23203.40022.15561.08452.15563.40024.88174.8817
C52.44472.79122.41851.39961.38233.72893.87693.40232.15941.08542.14484.61284.0980
C61.42432.43122.79122.41521.38232.46553.41523.87663.39642.13921.08573.45162.7213
C71.40272.46553.72894.23203.72892.46552.68684.60245.31644.60242.68681.08361.0836
H82.16561.08572.14483.40023.87693.41522.68682.46664.29414.96234.31262.48863.7669
H93.42532.13921.08542.15563.40233.87664.60242.46662.48504.29904.96234.78915.5594
H103.91383.39642.15941.08452.15943.39645.31644.29412.48502.48504.29415.95005.9500
H113.42533.87663.40232.15561.08542.13924.60244.96234.29902.48502.46665.55944.7891
H122.16563.41523.87693.40022.14481.08572.68684.31264.96234.29412.46663.76692.4886
H132.17152.72134.09804.88174.61283.45161.08362.48864.78915.95005.55943.76691.8542
H142.17153.45164.61284.88174.09802.72131.08363.76695.55945.95004.78912.48861.8542

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 121.089 C1 C2 H8 118.764
C1 C6 C5 121.089 C1 C6 H12 118.764
C1 C7 H13 121.165 C1 C7 H14 121.165
C2 C1 C6 117.287 C2 C1 C7 121.357
C2 C3 C4 120.469 C2 C3 H9 119.703
C3 C2 H8 120.147 C3 C4 C5 119.597
C3 C4 H10 120.201 C4 C3 H9 119.828
C4 C5 C6 120.469 C4 C5 H11 119.828
C5 C1 C7 150.338 C5 C4 H10 120.201
C5 C6 H12 120.147 C6 C5 H11 119.703
H13 C7 H14 117.670
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/6-31G(2df,p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.384      
2 C -0.196      
3 C -0.080      
4 C -0.133      
5 C -0.080      
6 C -0.196      
7 C -0.401      
8 H 0.093      
9 H 0.095      
10 H 0.097      
11 H 0.095      
12 H 0.093      
13 H 0.114      
14 H 0.114      


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 -0.137 0.137
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 0.000 0.000 0.000
y 0.000 0.000 0.000
z 0.000 0.000 0.000


<r2> (average value of r2) Å2
<r2> 189.917
(<r2>)1/2 13.781