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

using model chemistry: BLYP/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 BLYP/6-31G**
 hartrees
Energy at 0K-270.790520
Energy at 298.15K-270.797247
HF Energy-270.790520
Nuclear repulsion energy257.900253
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/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 3125 3101 18.97      
2 A1 3107 3083 8.33      
3 A1 3092 3069 12.88      
4 A1 3087 3063 2.13      
5 A1 1560 1548 0.72      
6 A1 1481 1470 4.39      
7 A1 1465 1453 0.79      
8 A1 1273 1263 1.51      
9 A1 1165 1157 0.11      
10 A1 1010 1002 1.11      
11 A1 967 960 0.64      
12 A1 808 801 0.27      
13 A1 520 516 0.18      
14 A2 926 919 0.00      
15 A2 807 800 0.00      
16 A2 499 495 0.00      
17 A2 381 378 0.00      
18 B1 949 942 0.03      
19 B1 864 858 5.44      
20 B1 751 745 46.62      
21 B1 690 685 2.36      
22 B1 664 659 30.94      
23 B1 467 463 7.30      
24 B1 196 194 0.63      
25 B2 3182 3158 12.45      
26 B2 3111 3087 51.42      
27 B2 3094 3070 0.56      
28 B2 1532 1520 0.67      
29 B2 1440 1429 3.94      
30 B2 1329 1318 0.03      
31 B2 1309 1299 2.02      
32 B2 1154 1145 0.04      
33 B2 1093 1084 1.45      
34 B2 951 944 1.49      
35 B2 611 606 0.01      
36 B2 349 347 0.10      

Unscaled Zero Point Vibrational Energy (zpe) 24503.1 cm-1
Scaled (by 0.9923) Zero Point Vibrational Energy (zpe) 24314.4 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 BLYP/6-31G**
ABC
0.18187 0.08882 0.05968

See section I.F.4 to change rotational constant units
Geometric Data calculated at BLYP/6-31G**

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.004
C2 0.000 1.228 0.253
C3 0.000 1.221 -1.141
C4 0.000 0.000 -1.852
C5 0.000 -1.221 -1.141
C6 0.000 -1.228 0.253
C7 0.000 0.000 2.416
H8 0.000 2.176 0.799
H9 0.000 2.168 -1.688
H10 0.000 0.000 -2.945
H11 0.000 -2.168 -1.688
H12 0.000 -2.176 0.799
H13 0.000 0.933 2.982
H14 0.000 -0.933 2.982

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 C7 H8 H9 H10 H11 H12 H13 H14
C11.43902.46842.85672.46841.43901.41172.18543.45633.94933.45632.18542.18672.1867
C21.43901.39462.43742.81752.45512.48671.09372.15673.42593.91103.44672.74433.4805
C32.46841.39461.41272.44122.81753.76072.16221.09352.17803.43213.91124.13304.6517
C42.85672.43741.41271.41272.43744.26833.42952.17401.09262.17403.42954.92354.9235
C52.46842.81752.44121.41271.39463.76073.91123.43212.17801.09352.16224.65174.1330
C61.43902.45512.81752.43741.39462.48673.44673.91103.42592.15671.09373.48052.7443
C71.41172.48673.76074.26833.76072.48672.71104.64105.36104.64102.71101.09141.0914
H82.18541.09372.16223.42953.91123.44672.71102.48634.33005.00474.35142.51203.7989
H93.45632.15671.09352.17403.43213.91104.64102.48632.50604.33555.00474.82995.6054
H103.94933.42592.17801.09262.17803.42595.36104.33002.50602.50604.33005.99995.9999
H113.45633.91103.43212.17401.09352.15674.64105.00474.33552.50602.48635.60544.8299
H122.18543.44673.91123.42952.16221.09372.71104.35145.00474.33002.48633.79892.5120
H132.18672.74434.13304.92354.65173.48051.09142.51204.82995.99995.60543.79891.8665
H142.18673.48054.65174.92354.13302.74431.09143.79895.60545.99994.82992.51201.8665

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 121.168 C1 C2 H8 118.642
C1 C6 C5 121.168 C1 C6 H12 118.642
C1 C7 H13 121.231 C1 C7 H14 121.231
C2 C1 C6 117.091 C2 C1 C7 121.455
C2 C3 C4 120.515 C2 C3 H9 119.697
C3 C2 H8 120.190 C3 C4 C5 119.543
C3 C4 H10 120.229 C4 C3 H9 119.788
C4 C5 C6 120.515 C4 C5 H11 119.788
C5 C1 C7 150.364 C5 C4 H10 120.229
C5 C6 H12 120.190 C6 C5 H11 119.697
H13 C7 H14 117.537
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at BLYP/6-31G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.213      
2 C -0.111      
3 C -0.053      
4 C -0.064      
5 C -0.053      
6 C -0.111      
7 C -0.274      
8 H 0.055      
9 H 0.059      
10 H 0.059      
11 H 0.059      
12 H 0.055      
13 H 0.084      
14 H 0.084      


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 -0.159 0.159
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -44.861 0.000 0.000
y 0.000 -37.271 0.000
z 0.000 0.000 -37.659
Traceless
 xyz
x -7.396 0.000 0.000
y 0.000 3.989 0.000
z 0.000 0.000 3.407
Polar
3z2-r26.814
x2-y2-7.589
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.712 0.000 0.000
y 0.000 11.908 0.000
z 0.000 0.000 16.684


<r2> (average value of r2) Å2
<r2> 192.995
(<r2>)1/2 13.892