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

using model chemistry: B3LYP/3-21G*

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 2B1
Energy calculated at B3LYP/3-21G*
 hartrees
Energy at 0K-269.427400
Energy at 298.15K-269.434400
HF Energy-269.427400
Nuclear repulsion energy259.569597
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 B3LYP/3-21G*
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 3220 3098 12.34      
2 A1 3200 3078 4.01      
3 A1 3185 3064 5.84      
4 A1 3166 3046 4.98      
5 A1 1594 1533 2.28      
6 A1 1532 1474 0.53      
7 A1 1520 1463 9.39      
8 A1 1302 1253 2.36      
9 A1 1220 1174 0.00      
10 A1 1043 1003 1.24      
11 A1 1018 980 0.59      
12 A1 836 804 0.32      
13 A1 551 531 0.25      
14 A2 998 960 0.00      
15 A2 844 812 0.00      
16 A2 505 486 0.00      
17 A2 399 384 0.00      
18 B1 1021 983 0.01      
19 B1 916 881 6.84      
20 B1 789 759 66.94      
21 B1 715 688 5.27      
22 B1 703 677 63.78      
23 B1 482 464 16.22      
24 B1 204 197 1.51      
25 B2 3262 3138 8.37      
26 B2 3205 3083 30.55      
27 B2 3187 3065 0.48      
28 B2 1572 1512 2.71      
29 B2 1495 1439 6.57      
30 B2 1396 1343 1.47      
31 B2 1313 1263 0.60      
32 B2 1223 1177 0.09      
33 B2 1138 1095 2.29      
34 B2 989 951 0.94      
35 B2 651 626 0.00      
36 B2 368 354 0.25      

Unscaled Zero Point Vibrational Energy (zpe) 25382.1 cm-1
Scaled (by 0.962) Zero Point Vibrational Energy (zpe) 24417.6 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 B3LYP/3-21G*
ABC
0.18418 0.08996 0.06044

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/3-21G*

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 0.995
C2 0.000 1.221 0.252
C3 0.000 1.213 -1.134
C4 0.000 0.000 -1.840
C5 0.000 -1.213 -1.134
C6 0.000 -1.221 0.252
C7 0.000 0.000 2.403
H8 0.000 2.160 0.794
H9 0.000 2.151 -1.678
H10 0.000 0.000 -2.923
H11 0.000 -2.151 -1.678
H12 0.000 -2.160 0.794
H13 0.000 0.928 2.962
H14 0.000 -0.928 2.962

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 C7 H8 H9 H10 H11 H12 H13 H14
C11.42902.45042.83502.45041.42901.40742.16943.43093.91843.43092.16942.17492.1749
C21.42901.38602.42192.80052.44122.47281.08472.14233.40183.88473.42392.72583.4586
C32.45041.38601.40332.42582.80053.73882.14831.08432.16163.40753.88524.10604.6219
C42.83502.42191.40331.40332.42194.24243.40652.15711.08342.15713.40654.89084.8908
C52.45042.80052.42581.40331.38603.73883.88523.40752.16161.08432.14834.62194.1060
C61.42902.44122.80052.42191.38602.47283.42393.88473.40182.14231.08473.45862.7258
C71.40742.47283.73884.24243.73882.47282.69314.61255.32584.61252.69311.08381.0838
H82.16941.08472.14833.40653.88523.42392.69312.47204.29954.96944.32012.49343.7731
H93.43092.14231.08432.15713.40753.88474.61252.47202.48564.30194.96944.79825.5685
H103.91843.40182.16161.08342.16163.40185.32584.29952.48562.48564.29955.95815.9581
H113.43093.88473.40752.15711.08432.14234.61254.96944.30192.48562.47205.56854.7982
H122.16943.42393.88523.40652.14831.08472.69314.32014.96944.29952.47203.77312.4934
H132.17492.72584.10604.89084.62193.45861.08382.49344.79825.95815.56853.77311.8564
H142.17493.45864.62194.89084.10602.72581.08383.77315.56855.95814.79822.49341.8564

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 121.016 C1 C2 H8 118.671
C1 C6 C5 121.016 C1 C6 H12 118.671
C1 C7 H13 121.081 C1 C7 H14 121.081
C2 C1 C6 117.330 C2 C1 C7 121.335
C2 C3 C4 120.515 C2 C3 H9 119.775
C3 C2 H8 120.313 C3 C4 C5 119.608
C3 C4 H10 120.196 C4 C3 H9 119.710
C4 C5 C6 120.515 C4 C5 H11 119.710
C5 C1 C7 150.332 C5 C4 H10 120.196
C5 C6 H12 120.313 C6 C5 H11 119.775
H13 C7 H14 117.838
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/3-21G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.028      
2 C -0.180      
3 C -0.185      
4 C -0.187      
5 C -0.185      
6 C -0.180      
7 C -0.357      
8 H 0.183      
9 H 0.187      
10 H 0.187      
11 H 0.187      
12 H 0.183      
13 H 0.187      
14 H 0.187      


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 -46.610 0.000 0.000
y 0.000 -36.481 0.000
z 0.000 0.000 -36.633
Traceless
 xyz
x -10.053 0.000 0.000
y 0.000 5.140 0.000
z 0.000 0.000 4.913
Polar
3z2-r29.825
x2-y2-10.129
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 2.653 0.000 0.000
y 0.000 10.828 0.000
z 0.000 0.000 15.114


<r2> (average value of r2) Å2
<r2> 190.829
(<r2>)1/2 13.814