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

using model chemistry: HF/CEP-31G

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 2B1
Energy calculated at HF/CEP-31G
 hartrees
Energy at 0K-42.364694
Energy at 298.15K-42.371805
HF Energy-42.364694
Nuclear repulsion energy129.622818
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 HF/CEP-31G
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 3403 3068 37.56      
2 A1 3374 3042 35.06      
3 A1 3353 3022 4.12      
4 A1 3323 2995 27.49      
5 A1 1654 1491 0.04      
6 A1 1623 1463 6.12      
7 A1 1596 1439 3.91      
8 A1 1357 1223 1.53      
9 A1 1259 1135 0.12      
10 A1 1069 963 1.67      
11 A1 1023 922 0.14      
12 A1 837 755 0.05      
13 A1 548 494 0.19      
14 A2 1025 924 0.00      
15 A2 881 795 0.00      
16 A2 541 488 0.00      
17 A2 391 353 0.00      
18 B1 1035 933 0.15      
19 B1 955 861 16.84      
20 B1 818 737 166.34      
21 B1 771 695 0.21      
22 B1 680 613 42.02      
23 B1 485 437 17.90      
24 B1 209 189 1.68      
25 B2 3423 3086 41.23      
26 B2 3386 3052 96.79      
27 B2 3359 3028 0.90      
28 B2 1637 1476 1.42      
29 B2 1552 1399 4.27      
30 B2 1468 1323 0.00      
31 B2 1453 1310 0.26      
32 B2 1259 1135 0.03      
33 B2 1160 1046 2.49      
34 B2 1030 929 0.81      
35 B2 645 582 0.01      
36 B2 373 336 0.01      

Unscaled Zero Point Vibrational Energy (zpe) 26478.3 cm-1
Scaled (by 0.9014) Zero Point Vibrational Energy (zpe) 23867.5 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 HF/CEP-31G
ABC
0.17836 0.08723 0.05858

See section I.F.4 to change rotational constant units
Geometric Data calculated at HF/CEP-31G

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.009
C2 0.000 1.243 0.262
C3 0.000 1.236 -1.155
C4 0.000 0.000 -1.872
C5 0.000 -1.236 -1.155
C6 0.000 -1.243 0.262
C7 0.000 0.000 2.439
H8 0.000 2.178 0.799
H9 0.000 2.169 -1.694
H10 0.000 0.000 -2.950
H11 0.000 -2.169 -1.694
H12 0.000 -2.178 0.799
H13 0.000 0.924 2.999
H14 0.000 -0.924 2.999

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 C7 H8 H9 H10 H11 H12 H13 H14
C11.45022.49242.88162.49241.45021.42932.18783.46663.95963.46662.18782.19332.1933
C21.45021.41682.46972.85542.48562.50651.07832.16493.44433.93343.46252.75523.4905
C32.49241.41681.42942.47252.85543.80012.16921.07812.17993.44823.93374.16524.6816
C42.88162.46971.42941.42942.46974.31093.44682.17671.07802.17673.44684.95784.9578
C52.49242.85542.47251.42941.41683.80013.93373.44822.17991.07812.16924.68164.1652
C61.45022.48562.85542.46971.41682.50653.46253.93343.44432.16491.07833.49052.7552
C71.42932.50653.80014.31093.80012.50652.72574.66795.38884.66792.72571.08031.0803
H82.18781.07832.16923.44683.93373.46252.72572.49404.33625.01184.35542.53163.8020
H93.46662.16491.07812.17673.44823.93344.66792.49402.50674.33905.01184.85575.6209
H103.95963.44432.17991.07802.17993.44435.38884.33622.50672.50674.33626.02026.0202
H113.46663.93343.44822.17671.07812.16494.66795.01184.33902.50672.49405.62094.8557
H122.18783.46253.93373.44682.16921.07832.72574.35545.01184.33622.49403.80202.5316
H132.19332.75524.16524.95784.68163.49051.08032.53164.85576.02025.62093.80201.8475
H142.19333.49054.68164.95784.16522.75521.08033.80205.62096.02024.85572.53161.8475

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 120.755 C1 C2 H8 119.085
C1 C6 C5 120.755 C1 C6 H12 119.085
C1 C7 H13 121.228 C1 C7 H14 121.228
C2 C1 C6 117.959 C2 C1 C7 121.021
C2 C3 C4 120.394 C2 C3 H9 119.776
C3 C2 H8 120.160 C3 C4 C5 119.743
C3 C4 H10 120.128 C4 C3 H9 119.830
C4 C5 C6 120.394 C4 C5 H11 119.830
C5 C1 C7 150.264 C5 C4 H10 120.128
C5 C6 H12 120.160 C6 C5 H11 119.776
H13 C7 H14 117.544
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HF/CEP-31G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.232      
2 C -0.136      
3 C -0.329      
4 C -0.228      
5 C -0.329      
6 C -0.136      
7 C -0.706      
8 H 0.268      
9 H 0.247      
10 H 0.243      
11 H 0.247      
12 H 0.268      
13 H 0.180      
14 H 0.180      


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 -0.074 0.074
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -47.394 0.000 0.000
y 0.000 -37.432 0.000
z 0.000 0.000 -37.951
Traceless
 xyz
x -9.702 0.000 0.000
y 0.000 5.240 0.000
z 0.000 0.000 4.462
Polar
3z2-r28.924
x2-y2-9.962
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 4.227 0.000 0.000
y 0.000 9.933 0.000
z 0.000 0.000 12.865


<r2> (average value of r2) Å2
<r2> 157.561
(<r2>)1/2 12.552