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

using model chemistry: ROHF/6-31G

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 2B1
Energy calculated at ROHF/6-31G
 hartrees
Energy at 0K-269.023236
Energy at 298.15K-269.030502
HF Energy-269.023236
Nuclear repulsion energy261.155035
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 ROHF/6-31G
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 3387 3033 18.51      
2 A1 3363 3011 17.84      
3 A1 3347 2996 9.40      
4 A1 3335 2986 11.37      
5 A1 1797 1609 1.29      
6 A1 1673 1498 16.04      
7 A1 1623 1453 0.68      
8 A1 1360 1218 0.87      
9 A1 1325 1186 0.24      
10 A1 1142 1023 1.10      
11 A1 1110 994 0.55      
12 A1 893 799 0.24      
13 A1 589 528 0.62      
14 A2 1143 1023 0.00      
15 A2 981 878 0.00      
16 A2 471 422 0.00      
17 A2 339 304 0.00      
18 B1 1178 1054 0.52      
19 B1 1070 958 7.29      
20 B1 876 785 79.13      
21 B1 795 712 38.52      
22 B1 590 528 9.38      
23 B1 521 467 54.65      
24 B1 240 215 2.92      
25 B2 3445 3084 13.49      
26 B2 3372 3019 53.58      
27 B2 3350 2999 1.57      
28 B2 1773 1588 1.16      
29 B2 1629 1458 11.09      
30 B2 1509 1351 0.83      
31 B2 1375 1231 0.28      
32 B2 1282 1148 0.23      
33 B2 1215 1088 2.53      
34 B2 1062 950 1.11      
35 B2 704 630 0.04      
36 B2 386 345 0.29      

Unscaled Zero Point Vibrational Energy (zpe) 27123.9 cm-1
Scaled (by 0.8953) Zero Point Vibrational Energy (zpe) 24284.1 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 ROHF/6-31G
ABC
0.18911 0.08994 0.06095

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

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 0.970
C2 0.000 1.200 0.251
C3 0.000 1.200 -1.134
C4 0.000 0.000 -1.834
C5 0.000 -1.200 -1.134
C6 0.000 -1.200 0.251
C7 0.000 0.000 2.420
H8 0.000 2.133 0.783
H9 0.000 2.131 -1.668
H10 0.000 0.000 -2.907
H11 0.000 -2.131 -1.668
H12 0.000 -2.133 0.783
H13 0.000 0.919 2.970
H14 0.000 -0.919 2.970

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 C7 H8 H9 H10 H11 H12 H13 H14
C11.39952.42242.80372.42241.39951.44992.14113.39103.87683.39102.14112.20152.2015
C21.39951.38502.40522.77092.40082.47941.07402.13203.37783.84433.37562.73443.4484
C32.42241.38501.38842.39902.77093.75142.13291.07342.14013.37313.84494.11444.6195
C42.80372.40521.38841.38842.40524.25363.37612.13761.07312.13763.37614.89134.8913
C52.42242.77092.39901.38841.38503.75143.84493.37312.14011.07342.13294.61954.1144
C61.39952.40082.77092.40521.38502.47943.37563.84433.37782.13201.07403.44842.7344
C71.44992.47943.75144.25363.75142.47942.68844.60985.32674.60982.68841.07161.0716
H82.14111.07402.13293.37613.84493.37562.68842.45104.26224.91834.26582.50113.7550
H93.39102.13201.07342.13763.37313.84434.60982.45102.46524.26234.91834.79375.5513
H103.87683.37782.14011.07312.14013.37785.32674.26222.46522.46524.26225.94865.9486
H113.39103.84433.37312.13761.07342.13204.60984.91834.26232.46522.45105.55134.7937
H122.14113.37563.84493.37612.13291.07402.68844.26584.91834.26222.45103.75502.5011
H132.20152.73444.11444.89134.61953.44841.07162.50114.79375.94865.55133.75501.8388
H142.20153.44844.61954.89134.11442.73441.07163.75505.55135.94864.79372.50111.8388

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 120.903 C1 C2 H8 119.317
C1 C6 C5 120.903 C1 C6 H12 119.317
C1 C7 H13 120.909 C1 C7 H14 120.909
C2 C1 C6 118.122 C2 C1 C7 120.939
C2 C3 C4 120.274 C2 C3 H9 119.744
C3 C2 H8 119.780 C3 C4 C5 119.524
C3 C4 H10 120.238 C4 C3 H9 119.983
C4 C5 C6 120.274 C4 C5 H11 119.983
C5 C1 C7 150.318 C5 C4 H10 120.238
C5 C6 H12 119.780 C6 C5 H11 119.744
H13 C7 H14 118.182
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at ROHF/6-31G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.007      
2 C -0.211      
3 C -0.193      
4 C -0.203      
5 C -0.193      
6 C -0.211      
7 C -0.318      
8 H 0.200      
9 H 0.199      
10 H 0.199      
11 H 0.199      
12 H 0.200      
13 H 0.170      
14 H 0.170      


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 0.076 0.076
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -46.845 0.000 0.000
y 0.000 -37.129 -0.001
z 0.000 -0.001 -37.277
Traceless
 xyz
x -9.642 0.000 0.000
y 0.000 4.932 -0.001
z 0.000 -0.001 4.710
Polar
3z2-r29.419
x2-y2-9.716
xy0.000
xz0.000
yz-0.001


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


<r2> (average value of r2) Å2
<r2> 189.714
(<r2>)1/2 13.774