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

using model chemistry: ROHF/cc-pVDZ

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/cc-pVDZ
 hartrees
Energy at 0K-269.136781
Energy at 298.15K-269.143857
HF Energy-269.136781
Nuclear repulsion energy260.811884
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/cc-pVDZ
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 3368 2899 14.87      
2 A1 3347 2881 15.05      
3 A1 3330 2867 7.77      
4 A1 3318 2856 5.44      
5 A1 1786 1537 2.04      
6 A1 1640 1412 16.38      
7 A1 1581 1361 0.07      
8 A1 1331 1145 0.37      
9 A1 1277 1099 0.41      
10 A1 1120 964 1.69      
11 A1 1077 927 0.43      
12 A1 877 754 0.46      
13 A1 569 490 0.61      
14 A2 1086 935 0.00      
15 A2 936 806 0.00      
16 A2 457 394 0.00      
17 A2 342 294 0.00      
18 B1 1104 950 0.06      
19 B1 1012 871 3.10      
20 B1 835 719 50.18      
21 B1 764 657 28.14      
22 B1 548 472 0.33      
23 B1 464 399 43.43      
24 B1 233 201 2.64      
25 B2 3430 2952 7.78      
26 B2 3356 2888 44.92      
27 B2 3335 2871 0.66      
28 B2 1765 1519 0.95      
29 B2 1594 1372 10.31      
30 B2 1450 1248 0.55      
31 B2 1330 1145 0.24      
32 B2 1213 1044 0.00      
33 B2 1176 1012 3.53      
34 B2 1029 886 1.40      
35 B2 676 581 0.03      
36 B2 375 323 0.25      

Unscaled Zero Point Vibrational Energy (zpe) 26566.0 cm-1
Scaled (by 0.8607) Zero Point Vibrational Energy (zpe) 22865.4 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/cc-pVDZ
ABC
0.18866 0.08983 0.06086

See section I.F.4 to change rotational constant units
Geometric Data calculated at ROHF/cc-pVDZ

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 0.971
C2 0.000 1.201 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 -1.201 0.251
C7 0.000 0.000 2.421
H8 0.000 2.141 0.787
H9 0.000 2.139 -1.671
H10 0.000 0.000 -2.916
H11 0.000 -2.139 -1.671
H12 0.000 -2.141 0.787
H13 0.000 0.928 2.973
H14 0.000 -0.928 2.973

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 C7 H8 H9 H10 H11 H12 H13 H14
C11.40032.42302.80522.42301.40031.44992.14943.39973.88713.39972.14942.20692.2069
C21.40031.38512.40622.77142.40182.48021.08262.13893.38703.85373.38502.73633.4559
C32.42301.38511.38892.39932.77143.75212.13951.08232.14813.38193.85404.11674.6259
C42.80522.40621.38891.38892.40624.25523.38462.14551.08192.14553.38464.89644.8964
C52.42302.77142.39931.38891.38513.75213.85403.38192.14811.08232.13954.62594.1167
C61.40032.40182.77142.40621.38512.48023.38503.85373.38702.13891.08263.45592.7363
C71.44992.48023.75214.25523.75212.48022.69374.61765.33714.61762.69371.07981.0798
H82.14941.08262.13953.38463.85403.38502.69372.45794.27754.93634.28292.50103.7684
H93.39972.13891.08232.14553.38193.85374.61762.45792.47524.27874.93634.80015.5659
H103.88713.38702.14811.08192.14813.38705.33714.27752.47522.47524.27755.96225.9622
H113.39973.85373.38192.14551.08232.13894.61764.93634.27872.47522.45795.56594.8001
H122.14943.38503.85403.38462.13951.08262.69374.28294.93634.27752.45793.76842.5010
H132.20692.73634.11674.89644.62593.45591.07982.50104.80015.96225.56593.76841.8554
H142.20693.45594.62594.89644.11672.73631.07983.76845.56595.96224.80012.50101.8554

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 120.900 C1 C2 H8 119.373
C1 C6 C5 120.900 C1 C6 H12 119.373
C1 C7 H13 120.778 C1 C7 H14 120.778
C2 C1 C6 118.098 C2 C1 C7 120.951
C2 C3 C4 120.315 C2 C3 H9 119.691
C3 C2 H8 119.727 C3 C4 C5 119.472
C3 C4 H10 120.264 C4 C3 H9 119.993
C4 C5 C6 120.315 C4 C5 H11 119.993
C5 C1 C7 150.324 C5 C4 H10 120.264
C5 C6 H12 119.727 C6 C5 H11 119.691
H13 C7 H14 118.445
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at ROHF/cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.195      
2 C 0.004      
3 C -0.005      
4 C -0.029      
5 C -0.005      
6 C 0.004      
7 C 0.044      
8 H 0.012      
9 H 0.022      
10 H 0.021      
11 H 0.022      
12 H 0.012      
13 H 0.047      
14 H 0.047      


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 0.083 0.083
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -46.964 0.000 0.000
y 0.000 -37.202 -0.001
z 0.000 -0.001 -37.424
Traceless
 xyz
x -9.651 0.000 0.000
y 0.000 4.992 -0.001
z 0.000 -0.001 4.659
Polar
3z2-r29.318
x2-y2-9.762
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> 190.148
(<r2>)1/2 13.789