return to home page Computational Chemistry Comparison and Benchmark DataBase Release 22 (May 2022) Standard Reference Database 101 National Institute of Standards and Technology
You are here: Calculated > Energy > Optimized > Energy

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

using model chemistry: BLYP/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 BLYP/3-21G
 hartrees
Energy at 0K-269.291144
Energy at 298.15K-269.297967
HF Energy-269.291144
Nuclear repulsion energy257.662406
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 BLYP/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 3137 3119 15.15      
2 A1 3116 3099 5.19      
3 A1 3101 3084 7.36      
4 A1 3087 3070 5.02      
5 A1 1540 1531 2.22      
6 A1 1497 1489 1.57      
7 A1 1477 1469 6.58      
8 A1 1277 1270 1.78      
9 A1 1192 1185 0.02      
10 A1 1008 1003 0.97      
11 A1 988 983 0.89      
12 A1 808 803 0.31      
13 A1 535 532 0.16      
14 A2 951 946 0.00      
15 A2 807 803 0.00      
16 A2 501 498 0.00      
17 A2 387 385 0.00      
18 B1 973 968 0.00      
19 B1 872 867 6.43      
20 B1 759 754 60.25      
21 B1 695 691 9.57      
22 B1 677 673 53.16      
23 B1 464 461 13.96      
24 B1 196 195 1.26      
25 B2 3179 3162 10.55      
26 B2 3121 3103 38.23      
27 B2 3102 3085 0.35      
28 B2 1514 1506 2.89      
29 B2 1449 1441 4.63      
30 B2 1355 1347 1.58      
31 B2 1281 1274 0.97      
32 B2 1194 1188 0.06      
33 B2 1106 1100 1.84      
34 B2 959 954 0.98      
35 B2 631 627 0.00      
36 B2 358 356 0.25      

Unscaled Zero Point Vibrational Energy (zpe) 24645.7 cm-1
Scaled (by 0.9945) Zero Point Vibrational Energy (zpe) 24510.2 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 BLYP/3-21G
ABC
0.18124 0.08871 0.05956

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

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.005
C2 0.000 1.231 0.254
C3 0.000 1.222 -1.142
C4 0.000 0.000 -1.853
C5 0.000 -1.222 -1.142
C6 0.000 -1.231 0.254
C7 0.000 0.000 2.418
H8 0.000 2.177 0.800
H9 0.000 2.167 -1.690
H10 0.000 0.000 -2.944
H11 0.000 -2.167 -1.690
H12 0.000 -2.177 0.800
H13 0.000 0.934 2.982
H14 0.000 -0.934 2.982

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 C7 H8 H9 H10 H11 H12 H13 H14
C11.44242.47052.85842.47051.44241.41312.18653.45783.94903.45782.18652.18632.1863
C21.44241.39542.44022.82262.46232.49021.09202.15673.42633.91423.45142.74443.4830
C32.47051.39541.41442.44492.82263.76402.16321.09162.17763.43303.91454.13374.6534
C42.85842.44021.41441.41442.44024.27143.43162.17271.09072.17273.43164.92454.9245
C52.47052.82262.44491.41441.39543.76403.91453.43302.17761.09162.16324.65344.1337
C61.44242.46232.82262.44021.39542.49023.45143.91423.42632.15671.09203.48302.7444
C71.41312.49023.76404.27143.76402.49022.71274.64425.36214.64422.71271.09101.0910
H82.18651.09202.16323.43163.91453.45142.71272.48934.33045.00614.35362.51133.8000
H93.45782.15671.09162.17273.43303.91424.64422.48932.50344.33315.00614.83145.6069
H103.94903.42632.17761.09072.17763.42635.36214.33042.50342.50344.33045.99895.9989
H113.45783.91423.43302.17271.09162.15674.64425.00614.33312.50342.48935.60694.8314
H122.18653.45143.91453.43162.16321.09202.71274.35365.00614.33042.48933.80002.5113
H132.18632.74444.13374.92454.65343.48301.09102.51134.83145.99895.60693.80001.8682
H142.18633.48304.65344.92454.13372.74441.09103.80005.60695.99894.83142.51131.8682

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 121.043 C1 C2 H8 118.600
C1 C6 C5 121.043 C1 C6 H12 118.600
C1 C7 H13 121.107 C1 C7 H14 121.107
C2 C1 C6 117.198 C2 C1 C7 121.401
C2 C3 C4 120.558 C2 C3 H9 119.773
C3 C2 H8 120.357 C3 C4 C5 119.599
C3 C4 H10 120.201 C4 C3 H9 119.668
C4 C5 C6 120.558 C4 C5 H11 119.668
C5 C1 C7 150.343 C5 C4 H10 120.201
C5 C6 H12 120.357 C6 C5 H11 119.773
H13 C7 H14 117.786
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at BLYP/3-21G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.003      
2 C -0.164      
3 C -0.162      
4 C -0.164      
5 C -0.162      
6 C -0.164      
7 C -0.342      
8 H 0.161      
9 H 0.164      
10 H 0.164      
11 H 0.164      
12 H 0.161      
13 H 0.171      
14 H 0.171      


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 -0.101 0.101
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -46.454 0.000 0.000
y 0.000 -36.736 0.000
z 0.000 0.000 -36.913
Traceless
 xyz
x -9.630 0.000 0.000
y 0.000 4.947 0.000
z 0.000 0.000 4.683
Polar
3z2-r29.366
x2-y2-9.718
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 2.710 0.000 0.000
y 0.000 11.165 0.000
z 0.000 0.000 15.789


<r2> (average value of r2) Å2
<r2> 193.343
(<r2>)1/2 13.905