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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-269.114467
Energy at 298.15K-269.121511
HF Energy-269.114467
Nuclear repulsion energy261.403204
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 3015 19.92      
2 A1 3366 2997 20.74      
3 A1 3353 2985 15.15      
4 A1 3348 2981 0.17      
5 A1 1795 1599 1.75      
6 A1 1663 1481 15.29      
7 A1 1621 1444 0.01      
8 A1 1339 1193 0.17      
9 A1 1299 1156 0.47      
10 A1 1130 1006 0.90      
11 A1 1085 966 0.40      
12 A1 880 784 0.38      
13 A1 572 509 0.66      
14 A2 1095 975 0.00      
15 A2 949 845 0.00      
16 A2 460 409 0.00      
17 A2 339 302 0.00      
18 B1 1120 998 0.18      
19 B1 1024 912 4.49      
20 B1 844 751 63.71      
21 B1 770 686 21.39      
22 B1 548 488 0.02      
23 B1 454 404 53.89      
24 B1 235 209 2.61      
25 B2 3452 3074 11.92      
26 B2 3374 3004 57.29      
27 B2 3354 2986 1.46      
28 B2 1774 1580 1.03      
29 B2 1617 1440 10.13      
30 B2 1480 1318 0.74      
31 B2 1341 1194 0.23      
32 B2 1226 1091 0.00      
33 B2 1187 1057 2.60      
34 B2 1047 932 1.20      
35 B2 681 606 0.02      
36 B2 376 335 0.21      

Unscaled Zero Point Vibrational Energy (zpe) 26791.9 cm-1
Scaled (by 0.8904) Zero Point Vibrational Energy (zpe) 23855.5 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
0.18951 0.09015 0.06109

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 0.969
C2 0.000 1.199 0.250
C3 0.000 1.198 -1.133
C4 0.000 0.000 -1.831
C5 0.000 -1.198 -1.133
C6 0.000 -1.199 0.250
C7 0.000 0.000 2.417
H8 0.000 2.134 0.783
H9 0.000 2.132 -1.666
H10 0.000 0.000 -2.907
H11 0.000 -2.132 -1.666
H12 0.000 -2.134 0.783
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
C11.39772.41862.79992.41861.39771.44862.14173.38933.87523.38932.14172.20112.2011
C21.39771.38262.40182.76672.39762.47671.07612.13133.37653.84243.37482.73243.4465
C32.41861.38261.38652.39532.76673.74652.13211.07572.14033.37173.84284.11024.6154
C42.79992.40181.38651.38652.40184.24853.37442.13791.07532.13793.37444.88684.8868
C52.41862.76672.39531.38651.38263.74653.84283.37172.14031.07572.13214.61544.1102
C61.39772.39762.76672.40181.38262.47673.37483.84243.37652.13131.07613.44652.7324
C71.44862.47673.74654.24853.74652.47672.68754.60655.32384.60652.68751.07251.0725
H82.14171.07612.13213.37443.84283.37482.68752.44954.26214.91854.26732.49953.7551
H93.38932.13131.07572.13793.37173.84244.60652.44952.46614.26314.91854.79035.5491
H103.87523.37652.14031.07532.14033.37655.32384.26212.46612.46614.26215.94645.9464
H113.38933.84243.37172.13791.07572.13134.60654.91854.26312.46612.44955.54914.7903
H122.14173.37483.84283.37442.13211.07612.68754.26734.91854.26212.44953.75512.4995
H132.20112.73244.11024.88684.61543.44651.07252.49954.79035.94645.54913.75511.8403
H142.20113.44654.61544.88684.11022.73241.07253.75515.54915.94644.79032.49951.8403

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 120.894 C1 C2 H8 119.364
C1 C6 C5 120.894 C1 C6 H12 119.364
C1 C7 H13 120.911 C1 C7 H14 120.911
C2 C1 C6 118.115 C2 C1 C7 120.943
C2 C3 C4 120.303 C2 C3 H9 119.701
C3 C2 H8 119.741 C3 C4 C5 119.491
C3 C4 H10 120.254 C4 C3 H9 119.997
C4 C5 C6 120.303 C4 C5 H11 119.997
C5 C1 C7 150.319 C5 C4 H10 120.254
C5 C6 H12 119.741 C6 C5 H11 119.701
H13 C7 H14 118.178
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 0.070      
2 C -0.227      
3 C -0.192      
4 C -0.209      
5 C -0.192      
6 C -0.227      
7 C -0.396      
8 H 0.198      
9 H 0.200      
10 H 0.200      
11 H 0.200      
12 H 0.198      
13 H 0.188      
14 H 0.188      


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 0.093 0.093
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -46.334 0.000 0.000
y 0.000 -36.785 -0.001
z 0.000 -0.001 -36.889
Traceless
 xyz
x -9.497 0.000 0.000
y 0.000 4.827 -0.001
z 0.000 -0.001 4.670
Polar
3z2-r29.339
x2-y2-9.549
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> 189.129
(<r2>)1/2 13.752