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

using model chemistry: B3LYP/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 B3LYP/6-31+G**
 hartrees
Energy at 0K-270.937858
Energy at 298.15K-270.944745
HF Energy-270.937858
Nuclear repulsion energy259.398424
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/6-31+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 3208 3093 14.32      
2 A1 3190 3076 5.80      
3 A1 3176 3062 8.52      
4 A1 3163 3050 5.17      
5 A1 1604 1547 0.58      
6 A1 1510 1456 9.21      
7 A1 1498 1444 0.08      
8 A1 1291 1245 1.38      
9 A1 1188 1146 0.18      
10 A1 1037 1000 2.64      
11 A1 993 957 0.86      
12 A1 830 800 0.38      
13 A1 532 513 0.23      
14 A2 974 939 0.00      
15 A2 832 802 0.00      
16 A2 498 481 0.00      
17 A2 391 377 0.00      
18 B1 989 953 0.00      
19 B1 900 868 5.41      
20 B1 771 744 75.10      
21 B1 710 684 2.38      
22 B1 680 655 51.82      
23 B1 477 460 17.16      
24 B1 199 192 1.58      
25 B2 3261 3144 9.58      
26 B2 3195 3080 39.30      
27 B2 3178 3064 0.88      
28 B2 1583 1526 0.64      
29 B2 1477 1424 4.50      
30 B2 1357 1308 0.03      
31 B2 1340 1292 1.16      
32 B2 1177 1135 0.03      
33 B2 1118 1078 3.20      
34 B2 974 939 2.14      
35 B2 626 603 0.00      
36 B2 358 345 0.15      

Unscaled Zero Point Vibrational Energy (zpe) 25141.2 cm-1
Scaled (by 0.9642) Zero Point Vibrational Energy (zpe) 24241.1 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/6-31+G**
ABC
0.18418 0.08978 0.06036

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/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 1.219 0.253
C3 0.000 1.213 -1.135
C4 0.000 0.000 -1.842
C5 0.000 -1.213 -1.135
C6 0.000 -1.219 0.253
C7 0.000 0.000 2.405
H8 0.000 2.162 0.793
H9 0.000 2.155 -1.678
H10 0.000 0.000 -2.928
H11 0.000 -2.155 -1.678
H12 0.000 -2.162 0.793
H13 0.000 0.929 2.966
H14 0.000 -0.929 2.966

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 C7 H8 H9 H10 H11 H12 H13 H14
C11.42842.45262.83842.45261.42841.40832.17173.43403.92423.43402.17172.17712.1771
C21.42841.38752.42362.80052.43882.47371.08692.14473.40603.88703.42452.72863.4604
C32.45261.38751.40422.42652.80053.74192.14911.08652.16463.41123.88744.11054.6263
C42.83842.42361.40421.40422.42364.24673.40872.16081.08572.16083.40874.89644.8964
C52.45262.80052.42651.40421.38753.74193.88743.41122.16461.08652.14914.62634.1105
C61.42842.43882.80052.42361.38752.47373.42453.88703.40602.14471.08693.46042.7286
C71.40832.47373.74194.24673.74192.47372.69674.61605.33254.61602.69671.08481.0848
H82.17171.08692.14913.40873.88743.42452.69672.47084.30354.97394.32442.49813.7778
H93.43402.14471.08652.16083.41123.88704.61602.47082.49104.30924.97394.80235.5736
H103.92423.40602.16461.08572.16463.40605.33254.30352.49102.49104.30355.96605.9660
H113.43403.88703.41122.16081.08652.14474.61604.97394.30922.49102.47085.57364.8023
H122.17173.42453.88743.40872.14911.08692.69674.32444.97394.30352.47083.77782.4981
H132.17712.72864.11054.89644.62633.46041.08482.49814.80235.96605.57363.77781.8572
H142.17713.46044.62634.89644.11052.72861.08483.77785.57365.96604.80232.49811.8572

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 121.133 C1 C2 H8 118.776
C1 C6 C5 121.133 C1 C6 H12 118.776
C1 C7 H13 121.129 C1 C7 H14 121.129
C2 C1 C6 117.225 C2 C1 C7 121.387
C2 C3 C4 120.484 C2 C3 H9 119.703
C3 C2 H8 120.090 C3 C4 C5 119.541
C3 C4 H10 120.230 C4 C3 H9 119.813
C4 C5 C6 120.484 C4 C5 H11 119.813
C5 C1 C7 150.351 C5 C4 H10 120.230
C5 C6 H12 120.090 C6 C5 H11 119.703
H13 C7 H14 117.742
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/6-31+G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.511      
2 C -0.300      
3 C -0.119      
4 C -0.133      
5 C -0.119      
6 C -0.300      
7 C -0.434      
8 H 0.121      
9 H 0.126      
10 H 0.125      
11 H 0.126      
12 H 0.121      
13 H 0.137      
14 H 0.137      


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 -0.158 0.158
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -47.132 0.000 0.000
y 0.000 -37.686 0.000
z 0.000 0.000 -38.362
Traceless
 xyz
x -9.108 0.000 0.000
y 0.000 5.061 0.000
z 0.000 0.000 4.047
Polar
3z2-r28.094
x2-y2-9.446
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 7.125 0.000 0.000
y 0.000 12.654 0.000
z 0.000 0.000 17.821


<r2> (average value of r2) Å2
<r2> 191.794
(<r2>)1/2 13.849