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

using model chemistry: B3LYP/cc-pVTZ

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/cc-pVTZ
 hartrees
Energy at 0K-271.012818
Energy at 298.15K-271.019778
HF Energy-271.012818
Nuclear repulsion energy260.700585
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/cc-pVTZ
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 3193 3086 13.25      
2 A1 3175 3069 5.54      
3 A1 3160 3054 8.21      
4 A1 3148 3043 4.69      
5 A1 1599 1546 1.13      
6 A1 1507 1457 9.70      
7 A1 1496 1446 0.09      
8 A1 1291 1248 1.66      
9 A1 1187 1147 0.08      
10 A1 1038 1003 2.00      
11 A1 1000 966 0.85      
12 A1 833 805 0.36      
13 A1 535 517 0.21      
14 A2 980 947 0.00      
15 A2 835 807 0.00      
16 A2 506 489 0.00      
17 A2 393 379 0.00      
18 B1 996 963 0.00      
19 B1 907 877 5.10      
20 B1 781 755 54.09      
21 B1 718 694 2.78      
22 B1 689 666 47.89      
23 B1 481 465 14.50      
24 B1 200 193 1.21      
25 B2 3242 3134 8.56      
26 B2 3179 3073 36.65      
27 B2 3162 3057 0.51      
28 B2 1578 1526 1.05      
29 B2 1479 1429 5.63      
30 B2 1359 1313 0.37      
31 B2 1329 1284 0.92      
32 B2 1177 1137 0.05      
33 B2 1119 1082 2.42      
34 B2 973 941 1.83      
35 B2 630 609 0.01      
36 B2 360 348 0.12      

Unscaled Zero Point Vibrational Energy (zpe) 25116.3 cm-1
Scaled (by 0.9666) Zero Point Vibrational Energy (zpe) 24277.4 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 B3LYP/cc-pVTZ
ABC
0.18597 0.09072 0.06097

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/cc-pVTZ

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 0.992
C2 0.000 1.214 0.251
C3 0.000 1.207 -1.129
C4 0.000 0.000 -1.832
C5 0.000 -1.207 -1.129
C6 0.000 -1.214 0.251
C7 0.000 0.000 2.392
H8 0.000 2.153 0.789
H9 0.000 2.144 -1.670
H10 0.000 0.000 -2.913
H11 0.000 -2.144 -1.670
H12 0.000 -2.153 0.789
H13 0.000 0.925 2.951
H14 0.000 -0.925 2.951

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 C7 H8 H9 H10 H11 H12 H13 H14
C11.42212.44032.82412.44031.42211.40042.16233.41823.90543.41822.16232.16602.1660
C21.42211.37952.41052.78612.42722.46171.08262.13423.38883.86833.40912.71543.4444
C32.44031.37951.39692.41402.78613.72242.13841.08222.15443.39463.86864.08924.6030
C42.82412.41051.39691.39692.41054.22453.39182.15031.08132.15033.39184.87134.8713
C52.44032.78612.41401.39691.37953.72243.86863.39462.15441.08222.13844.60304.0892
C61.42212.42722.78612.41051.37952.46173.40913.86833.38882.13421.08263.44442.7154
C71.40042.46173.72244.22453.72242.46172.68424.59365.30584.59362.68421.08041.0804
H82.16231.08262.13843.39183.86863.40912.68422.45914.28284.95084.30542.48583.7609
H93.41822.13421.08222.15033.39463.86834.59362.45912.47874.28844.95084.77875.5471
H103.90543.38882.15441.08132.15443.38885.30584.28282.47872.47874.28285.93655.9365
H113.41823.86833.39462.15031.08222.13424.59364.95084.28842.47872.45915.54714.7787
H122.16233.40913.86863.39182.13841.08262.68424.30544.95084.28282.45913.76092.4858
H132.16602.71544.08924.87134.60303.44441.08042.48584.77875.93655.54713.76091.8501
H142.16603.44444.60304.87134.08922.71541.08043.76095.54715.93654.77872.48581.8501

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 121.149 C1 C2 H8 118.749
C1 C6 C5 121.149 C1 C6 H12 118.749
C1 C7 H13 121.108 C1 C7 H14 121.108
C2 C1 C6 117.156 C2 C1 C7 121.422
C2 C3 C4 120.497 C2 C3 H9 119.730
C3 C2 H8 120.102 C3 C4 C5 119.550
C3 C4 H10 120.225 C4 C3 H9 119.773
C4 C5 C6 120.497 C4 C5 H11 119.773
C5 C1 C7 150.355 C5 C4 H10 120.225
C5 C6 H12 120.102 C6 C5 H11 119.730
H13 C7 H14 117.785
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.132      
2 C -0.111      
3 C -0.108      
4 C -0.113      
5 C -0.108      
6 C -0.111      
7 C -0.300      
8 H 0.097      
9 H 0.105      
10 H 0.107      
11 H 0.105      
12 H 0.097      
13 H 0.104      
14 H 0.104      


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 -0.142 0.142
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -46.189 0.000 0.000
y 0.000 -37.565 0.000
z 0.000 0.000 -38.070
Traceless
 xyz
x -8.372 0.000 0.000
y 0.000 4.564 0.000
z 0.000 0.000 3.807
Polar
3z2-r27.615
x2-y2-8.624
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 5.837 0.000 0.000
y 0.000 12.404 0.000
z 0.000 0.000 17.246


<r2> (average value of r2) Å2
<r2> 189.848
(<r2>)1/2 13.779