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

using model chemistry: ROHF/6-311G*

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/6-311G*
 hartrees
Energy at 0K-269.160709
Energy at 298.15K-269.167758
HF Energy-269.160709
Nuclear repulsion energy261.507427
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/6-311G*
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 3364 2879 21.97      
2 A1 3343 2861 23.76      
3 A1 3327 2847 11.39      
4 A1 3319 2839 7.86      
5 A1 1782 1525 2.14      
6 A1 1652 1413 16.71      
7 A1 1609 1376 0.19      
8 A1 1330 1138 0.27      
9 A1 1290 1103 0.52      
10 A1 1121 959 1.30      
11 A1 1080 924 0.61      
12 A1 875 749 0.42      
13 A1 571 488 0.64      
14 A2 1082 926 0.00      
15 A2 938 803 0.00      
16 A2 458 392 0.00      
17 A2 339 290 0.00      
18 B1 1104 944 0.08      
19 B1 1013 867 4.08      
20 B1 836 716 68.12      
21 B1 765 654 34.16      
22 B1 546 467 0.62      
23 B1 453 388 61.31      
24 B1 233 199 3.67      
25 B2 3421 2927 14.95      
26 B2 3352 2868 66.77      
27 B2 3332 2850 1.19      
28 B2 1762 1507 1.16      
29 B2 1606 1374 10.11      
30 B2 1473 1260 0.57      
31 B2 1333 1141 0.14      
32 B2 1212 1037 0.09      
33 B2 1172 1003 3.16      
34 B2 1040 890 1.21      
35 B2 679 581 0.03      
36 B2 376 322 0.26      

Unscaled Zero Point Vibrational Energy (zpe) 26592.8 cm-1
Scaled (by 0.8556) Zero Point Vibrational Energy (zpe) 22752.8 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/6-311G*
ABC
0.18969 0.09022 0.06114

See section I.F.4 to change rotational constant units
Geometric Data calculated at ROHF/6-311G*

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 0.968
C2 0.000 1.198 0.250
C3 0.000 1.197 -1.132
C4 0.000 0.000 -1.831
C5 0.000 -1.197 -1.132
C6 0.000 -1.198 0.250
C7 0.000 0.000 2.416
H8 0.000 2.133 0.782
H9 0.000 2.131 -1.666
H10 0.000 0.000 -2.906
H11 0.000 -2.131 -1.666
H12 0.000 -2.133 0.782
H13 0.000 0.920 2.968
H14 0.000 -0.920 2.968

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 C7 H8 H9 H10 H11 H12 H13 H14
C11.39712.41762.79892.41761.39711.44782.14153.38813.87423.38812.14152.20112.2011
C21.39711.38192.40072.76522.39622.47561.07612.13063.37543.84083.37372.73253.4459
C32.41761.38191.38592.39402.76523.74482.13091.07562.13983.37053.84124.10964.6143
C42.79892.40071.38591.38592.40074.24673.37292.13731.07532.13733.37294.88604.8860
C52.41762.76522.39401.38591.38193.74483.84123.37052.13981.07562.13094.61434.1096
C61.39712.39622.76522.40071.38192.47563.37373.84083.37542.13061.07613.44592.7325
C71.44782.47563.74484.24673.74482.47562.68744.60465.32204.60462.68741.07261.0726
H82.14151.07612.13093.37293.84123.37372.68742.44774.26044.91694.26682.50053.7550
H93.38812.13061.07562.13733.37053.84084.60462.44772.46554.26194.91694.78955.5478
H103.87423.37542.13981.07532.13983.37545.32204.26042.46552.46554.26045.94555.9455
H113.38813.84083.37052.13731.07562.13064.60464.91694.26192.46552.44775.54784.7895
H122.14153.37373.84123.37292.13091.07612.68744.26684.91694.26042.44773.75502.5005
H132.20112.73254.10964.88604.61433.44591.07262.50054.78955.94555.54783.75501.8393
H142.20113.44594.61434.88604.10962.73251.07263.75505.54785.94554.78952.50051.8393

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 120.907 C1 C2 H8 119.407
C1 C6 C5 120.907 C1 C6 H12 119.407
C1 C7 H13 120.970 C1 C7 H14 120.970
C2 C1 C6 118.093 C2 C1 C7 120.953
C2 C3 C4 120.309 C2 C3 H9 119.694
C3 C2 H8 119.686 C3 C4 C5 119.474
C3 C4 H10 120.263 C4 C3 H9 119.996
C4 C5 C6 120.309 C4 C5 H11 119.996
C5 C1 C7 150.323 C5 C4 H10 120.263
C5 C6 H12 119.686 C6 C5 H11 119.694
H13 C7 H14 118.060
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at ROHF/6-311G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.054      
2 C -0.248      
3 C -0.203      
4 C -0.230      
5 C -0.203      
6 C -0.248      
7 C -0.468      
8 H 0.214      
9 H 0.217      
10 H 0.216      
11 H 0.217      
12 H 0.214      
13 H 0.234      
14 H 0.234      


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 0.086 0.086
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -47.436 0.000 0.000
y 0.000 -36.939 -0.001
z 0.000 -0.001 -37.152
Traceless
 xyz
x -10.390 0.000 0.000
y 0.000 5.355 -0.001
z 0.000 -0.001 5.035
Polar
3z2-r210.071
x2-y2-10.496
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> 189.321
(<r2>)1/2 13.759