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

using model chemistry: B3LYP/LANL2DZ

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/LANL2DZ
 hartrees
Energy at 0K-270.875731
Energy at 298.15K-270.882733
HF Energy-270.875731
Nuclear repulsion energy257.723267
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/LANL2DZ
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 3229 3104 21.23      
2 A1 3202 3078 9.92      
3 A1 3185 3061 7.33      
4 A1 3164 3041 9.73      
5 A1 1603 1541 1.04      
6 A1 1522 1463 12.29      
7 A1 1501 1443 4.88      
8 A1 1300 1250 3.21      
9 A1 1206 1159 0.11      
10 A1 1036 996 3.76      
11 A1 997 959 0.63      
12 A1 827 795 0.61      
13 A1 535 514 0.25      
14 A2 1012 973 0.00      
15 A2 862 828 0.00      
16 A2 512 492 0.00      
17 A2 397 382 0.00      
18 B1 1028 988 0.43      
19 B1 940 904 21.01      
20 B1 841 808 115.51      
21 B1 770 740 5.57      
22 B1 702 675 63.21      
23 B1 491 472 19.80      
24 B1 205 197 1.86      
25 B2 3275 3148 15.50      
26 B2 3211 3087 54.59      
27 B2 3187 3063 0.99      
28 B2 1584 1523 1.77      
29 B2 1474 1417 7.16      
30 B2 1373 1320 0.03      
31 B2 1364 1311 0.46      
32 B2 1199 1153 0.13      
33 B2 1124 1080 6.75      
34 B2 984 946 0.94      
35 B2 629 605 0.01      
36 B2 361 347 0.28      

Unscaled Zero Point Vibrational Energy (zpe) 25415.7 cm-1
Scaled (by 0.9612) Zero Point Vibrational Energy (zpe) 24429.6 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/LANL2DZ
ABC
0.18171 0.08857 0.05955

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/LANL2DZ

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.002
C2 0.000 1.229 0.255
C3 0.000 1.222 -1.143
C4 0.000 0.000 -1.855
C5 0.000 -1.222 -1.143
C6 0.000 -1.229 0.255
C7 0.000 0.000 2.421
H8 0.000 2.172 0.798
H9 0.000 2.163 -1.689
H10 0.000 0.000 -2.942
H11 0.000 -2.163 -1.689
H12 0.000 -2.172 0.798
H13 0.000 0.929 2.986
H14 0.000 -0.929 2.986

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 C7 H8 H9 H10 H11 H12 H13 H14
C11.43762.46882.85682.46881.43761.41952.18153.45253.94403.45252.18152.19112.1911
C21.43761.39842.44192.82192.45722.49021.08852.15723.42543.90973.44362.74723.4804
C32.46881.39841.41462.44492.82193.76822.16111.08782.17513.42963.91044.13964.6562
C42.85682.44191.41461.41462.44194.27633.42892.16981.08722.16983.42894.92954.9295
C52.46882.82192.44491.41461.39843.76823.91043.42962.17511.08782.16114.65624.1396
C61.43762.45722.82192.44191.39842.49023.44363.90973.42542.15721.08853.48042.7472
C71.41952.49023.76824.27633.76822.49022.71144.64485.36364.64482.71141.08741.0874
H82.18151.08852.16113.42893.91043.44362.71142.48714.32544.99824.34402.51623.7953
H93.45252.15721.08782.16983.42963.90974.64482.48712.50034.32704.99824.83515.6053
H103.94403.42542.17511.08722.17513.42545.36364.32542.50032.50034.32546.00076.0007
H113.45253.90973.42962.16981.08782.15724.64484.99824.32702.50032.48715.60534.8351
H122.18153.44363.91043.42892.16111.08852.71144.34404.99824.32542.48713.79532.5162
H132.19112.74724.13964.92954.65623.48041.08742.51624.83516.00075.60533.79531.8583
H142.19113.48044.65624.92954.13962.74721.08743.79535.60536.00074.83512.51621.8583

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 121.033 C1 C2 H8 118.793
C1 C6 C5 121.033 C1 C6 H12 118.793
C1 C7 H13 121.293 C1 C7 H14 121.293
C2 C1 C6 117.431 C2 C1 C7 121.285
C2 C3 C4 120.466 C2 C3 H9 119.858
C3 C2 H8 120.174 C3 C4 C5 119.571
C3 C4 H10 120.215 C4 C3 H9 119.676
C4 C5 C6 120.466 C4 C5 H11 119.676
C5 C1 C7 150.320 C5 C4 H10 120.215
C5 C6 H12 120.174 C6 C5 H11 119.858
H13 C7 H14 117.413
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/LANL2DZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.566      
2 C -0.378      
3 C -0.210      
4 C -0.236      
5 C -0.210      
6 C -0.378      
7 C -0.675      
8 H 0.221      
9 H 0.218      
10 H 0.222      
11 H 0.218      
12 H 0.221      
13 H 0.209      
14 H 0.209      


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 -0.161 0.161
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -46.890 0.000 0.000
y 0.000 -36.145 0.000
z 0.000 0.000 -36.826
Traceless
 xyz
x -10.405 0.000 0.000
y 0.000 5.713 0.000
z 0.000 0.000 4.692
Polar
3z2-r29.384
x2-y2-10.745
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 4.303 0.000 0.000
y 0.000 11.167 0.000
z 0.000 0.000 16.066


<r2> (average value of r2) Å2
<r2> 193.299
(<r2>)1/2 13.903