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

using model chemistry: B3LYP/CEP-121G

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 2B1
Energy calculated at B3LYP/CEP-121G
 hartrees
Energy at 0K-43.658595
Energy at 298.15K-43.665614
HF Energy-43.658595
Nuclear repulsion energy129.971584
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/CEP-121G
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 3179 3098 27.84      
2 A1 3154 3074 15.32      
3 A1 3137 3057 9.37      
4 A1 3107 3028 15.04      
5 A1 1580 1540 1.01      
6 A1 1507 1469 7.13      
7 A1 1492 1454 4.64      
8 A1 1276 1243 2.03      
9 A1 1192 1161 0.05      
10 A1 1021 995 2.09      
11 A1 984 959 0.72      
12 A1 812 791 0.35      
13 A1 528 515 0.25      
14 A2 988 963 0.00      
15 A2 863 841 0.00      
16 A2 507 494 0.00      
17 A2 395 385 0.00      
18 B1 1010 985 1.42      
19 B1 937 914 23.29      
20 B1 826 805 99.13      
21 B1 757 737 2.65      
22 B1 689 671 44.82      
23 B1 489 476 14.40      
24 B1 206 201 1.35      
25 B2 3219 3137 22.15      
26 B2 3163 3082 73.32      
27 B2 3140 3060 1.95      
28 B2 1562 1523 0.99      
29 B2 1460 1423 6.17      
30 B2 1355 1320 0.53      
31 B2 1337 1303 0.72      
32 B2 1183 1153 0.04      
33 B2 1113 1084 3.40      
34 B2 974 949 1.73      
35 B2 623 607 0.01      
36 B2 356 347 0.15      

Unscaled Zero Point Vibrational Energy (zpe) 25059.3 cm-1
Scaled (by 0.9745) Zero Point Vibrational Energy (zpe) 24420.3 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/CEP-121G
ABC
0.18023 0.08779 0.05903

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/CEP-121G

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.006
C2 0.000 1.234 0.256
C3 0.000 1.228 -1.149
C4 0.000 0.000 -1.864
C5 0.000 -1.228 -1.149
C6 0.000 -1.234 0.256
C7 0.000 0.000 2.433
H8 0.000 2.178 0.799
H9 0.000 2.171 -1.691
H10 0.000 0.000 -2.952
H11 0.000 -2.171 -1.691
H12 0.000 -2.178 0.799
H13 0.000 0.931 2.997
H14 0.000 -0.931 2.997

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 C7 H8 H9 H10 H11 H12 H13 H14
C11.44392.48002.87002.48001.44391.42712.18803.46273.95783.46272.18802.19782.1978
C21.44391.40482.45302.83432.46772.50231.08902.16143.43703.92273.45492.75733.4926
C32.48001.40481.42102.45572.83433.78642.16671.08832.18153.44213.92334.15604.6739
C42.87002.45301.42101.42102.45304.29703.44002.17801.08782.17803.44004.94914.9491
C52.48002.83432.45571.42101.40483.78643.92333.44212.18151.08832.16674.67394.1560
C61.44392.46772.83432.45301.40482.50233.45493.92273.43702.16141.08903.49262.7573
C71.42712.50233.78644.29703.78642.50232.72334.66115.38494.66112.72331.08851.0885
H82.18801.08902.16673.44003.92333.45492.72332.49004.33705.01174.35632.52733.8079
H93.46272.16141.08832.17803.44213.92274.66112.49002.51044.34235.01174.84945.6217
H103.95783.43702.18151.08782.18153.43705.38494.33702.51042.51044.33706.02106.0210
H113.46273.92273.44212.17801.08832.16144.66115.01174.34232.51042.49005.62174.8494
H122.18803.45493.92333.44002.16671.08902.72334.35635.01174.33702.49003.80792.5273
H132.19782.75734.15604.94914.67393.49261.08852.52734.84946.02105.62173.80791.8624
H142.19783.49264.67394.94914.15602.75731.08853.80795.62176.02104.84942.52731.8624

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 121.045 C1 C2 H8 118.835
C1 C6 C5 121.045 C1 C6 H12 118.835
C1 C7 H13 121.187 C1 C7 H14 121.187
C2 C1 C6 117.420 C2 C1 C7 121.290
C2 C3 C4 120.468 C2 C3 H9 119.674
C3 C2 H8 120.120 C3 C4 C5 119.554
C3 C4 H10 120.223 C4 C3 H9 119.858
C4 C5 C6 120.468 C4 C5 H11 119.858
C5 C1 C7 150.323 C5 C4 H10 120.223
C5 C6 H12 120.120 C6 C5 H11 119.674
H13 C7 H14 117.626
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/CEP-121G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.618      
2 C -0.301      
3 C -0.137      
4 C -0.168      
5 C -0.137      
6 C -0.301      
7 C -0.638      
8 H 0.169      
9 H 0.148      
10 H 0.150      
11 H 0.148      
12 H 0.169      
13 H 0.141      
14 H 0.141      


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 -0.145 0.145
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -46.905 0.000 0.000
y 0.000 -37.288 0.000
z 0.000 0.000 -37.856
Traceless
 xyz
x -9.333 0.000 0.000
y 0.000 5.093 0.000
z 0.000 0.000 4.241
Polar
3z2-r28.481
x2-y2-9.617
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 5.113 0.000 0.000
y 0.000 12.297 0.000
z 0.000 0.000 17.082


<r2> (average value of r2) Å2
<r2> 156.678
(<r2>)1/2 12.517