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

using model chemistry: LSDA/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 LSDA/6-31+G**
 hartrees
Energy at 0K-269.362864
Energy at 298.15K-269.369594
HF Energy-269.362864
Nuclear repulsion energy260.320866
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 LSDA/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 3142 3095 6.41      
2 A1 3124 3077 0.99      
3 A1 3110 3063 5.53      
4 A1 3095 3049 1.73      
5 A1 1608 1584 0.01      
6 A1 1498 1475 14.90      
7 A1 1433 1412 0.45      
8 A1 1294 1275 5.09      
9 A1 1151 1134 0.50      
10 A1 1027 1012 4.56      
11 A1 973 959 0.67      
12 A1 825 813 0.62      
13 A1 518 510 0.18      
14 A2 936 922 0.00      
15 A2 800 788 0.00      
16 A2 502 494 0.00      
17 A2 379 373 0.00      
18 B1 953 939 0.03      
19 B1 870 857 8.68      
20 B1 762 751 74.57      
21 B1 704 694 1.85      
22 B1 658 648 55.93      
23 B1 459 452 18.33      
24 B1 190 187 1.64      
25 B2 3199 3151 4.39      
26 B2 3129 3082 19.09      
27 B2 3111 3064 1.61      
28 B2 1570 1546 0.43      
29 B2 1459 1437 3.78      
30 B2 1400 1379 3.41      
31 B2 1286 1267 0.66      
32 B2 1135 1118 0.00      
33 B2 1088 1072 6.22      
34 B2 940 926 2.01      
35 B2 607 598 0.00      
36 B2 341 336 0.14      

Unscaled Zero Point Vibrational Energy (zpe) 24637.5 cm-1
Scaled (by 0.985) Zero Point Vibrational Energy (zpe) 24268.0 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 LSDA/6-31+G**
ABC
0.18520 0.09083 0.06094

See section I.F.4 to change rotational constant units
Geometric Data calculated at LSDA/6-31+G**

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 0.992
C2 0.000 1.214 0.253
C3 0.000 1.208 -1.128
C4 0.000 0.000 -1.832
C5 0.000 -1.208 -1.128
C6 0.000 -1.214 0.253
C7 0.000 0.000 2.386
H8 0.000 2.163 0.803
H9 0.000 2.158 -1.675
H10 0.000 0.000 -2.927
H11 0.000 -2.158 -1.675
H12 0.000 -2.163 0.803
H13 0.000 0.938 2.950
H14 0.000 -0.938 2.950

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 C7 H8 H9 H10 H11 H12 H13 H14
C11.42162.44022.82342.44021.42161.39452.17103.43093.91863.43092.17102.17132.1713
C21.42161.38072.41212.78852.42862.45511.09682.14653.40343.88443.42172.71153.4510
C32.44021.38071.39822.41672.78853.71642.15451.09592.16693.41043.88534.08704.6086
C42.82342.41211.39821.39822.41214.21803.40892.16351.09522.16353.40894.87284.8728
C52.44022.78852.41671.39821.38073.71643.88533.41042.16691.09592.15454.60864.0870
C61.42162.42862.78852.41211.38072.45513.42173.88443.40342.14651.09683.45102.7115
C71.39452.45513.71644.21803.71642.45512.68024.59945.31314.59942.68021.09461.0946
H82.17101.09682.15453.40893.88533.42172.68022.47884.31184.98124.32562.47133.7715
H93.43092.14651.09592.16353.41043.88444.59942.47882.49444.31574.98124.78355.5660
H103.91863.40342.16691.09522.16693.40345.31314.31182.49442.49444.31185.95125.9512
H113.43093.88443.41042.16351.09592.14654.59944.98124.31572.49442.47885.56604.7835
H122.17103.42173.88533.40892.15451.09682.68024.32564.98124.31182.47883.77152.4713
H132.17132.71154.08704.87284.60863.45101.09462.47134.78355.95125.56603.77151.8766
H142.17133.45104.60864.87284.08702.71151.09463.77155.56605.95124.78352.47131.8766

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 121.086 C1 C2 H8 118.522
C1 C6 C5 121.086 C1 C6 H12 118.522
C1 C7 H13 120.993 C1 C7 H14 120.993
C2 C1 C6 117.335 C2 C1 C7 121.333
C2 C3 C4 120.453 C2 C3 H9 119.713
C3 C2 H8 120.392 C3 C4 C5 119.587
C3 C4 H10 120.206 C4 C3 H9 119.833
C4 C5 C6 120.453 C4 C5 H11 119.833
C5 C1 C7 150.317 C5 C4 H10 120.206
C5 C6 H12 120.392 C6 C5 H11 119.713
H13 C7 H14 118.013
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at LSDA/6-31+G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.467      
2 C -0.330      
3 C -0.146      
4 C -0.159      
5 C -0.146      
6 C -0.330      
7 C -0.455      
8 H 0.151      
9 H 0.156      
10 H 0.155      
11 H 0.156      
12 H 0.151      
13 H 0.164      
14 H 0.164      


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 -0.228 0.228
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -47.151 0.000 0.000
y 0.000 -37.188 0.000
z 0.000 0.000 -37.950
Traceless
 xyz
x -9.582 0.000 0.000
y 0.000 5.363 0.000
z 0.000 0.000 4.219
Polar
3z2-r28.438
x2-y2-9.963
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 7.119 0.000 0.000
y 0.000 12.925 0.000
z 0.000 0.000 18.456


<r2> (average value of r2) Å2
<r2> 190.218
(<r2>)1/2 13.792