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All results from a given calculation for C6H5CH3 (toluene)

using model chemistry: M06-2X/3-21G*

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes CS 1A'
Energy calculated at M06-2X/3-21G*
 hartrees
Energy at 0K-269.947901
Energy at 298.15K 
HF Energy-269.947901
Nuclear repulsion energy268.860825
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 M06-2X/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 A' 3224 3053 4.82      
2 A' 3201 3032 4.62      
3 A' 3191 3022 2.74      
4 A' 3113 2948 9.33      
5 A' 3050 2889 12.63      
6 A' 1670 1582 5.01      
7 A' 1562 1479 16.39      
8 A' 1554 1472 9.61      
9 A' 1461 1384 6.26      
10 A' 1253 1187 0.28      
11 A' 1245 1180 0.18      
12 A' 1108 1049 12.70      
13 A' 1078 1021 2.51      
14 A' 1069 1013 0.15      
15 A' 1051 996 0.17      
16 A' 961 911 0.10      
17 A' 817 774 1.14      
18 A' 778 737 42.76      
19 A' 747 707 43.06      
20 A' 545 516 0.67      
21 A' 485 459 12.15      
22 A' 216 204 3.29      
23 A" 3213 3043 13.77      
24 A" 3192 3024 2.26      
25 A" 3120 2955 6.90      
26 A" 1658 1570 0.40      
27 A" 1559 1476 16.79      
28 A" 1514 1434 2.07      
29 A" 1402 1328 0.11      
30 A" 1316 1246 0.02      
31 A" 1230 1165 0.07      
32 A" 1142 1082 6.23      
33 A" 1037 982 0.00      
34 A" 1032 978 0.10      
35 A" 896 848 0.00      
36 A" 663 628 0.14      
37 A" 430 407 0.00      
38 A" 348 330 0.43      
39 A" 78i 74i 0.36      

Unscaled Zero Point Vibrational Energy (zpe) 28526.3 cm-1
Scaled (by 0.9472) Zero Point Vibrational Energy (zpe) 27020.1 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 M06-2X/3-21G*
ABC
0.18440 0.08392 0.05831

See section I.F.4 to change rotational constant units
Geometric Data calculated at M06-2X/3-21G*

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.005 0.909 0.000
C2 0.008 0.196 1.204
C3 0.008 -1.199 1.206
C4 0.007 -1.902 0.000
C5 0.008 -1.199 -1.206
C6 0.008 0.196 -1.204
C7 -0.030 2.425 0.000
H8 0.011 0.739 2.143
H9 0.011 -1.738 2.146
H10 0.009 -2.984 0.000
H11 0.011 -1.738 -2.146
H12 0.011 0.739 -2.143
H13 -1.067 2.781 0.000
H14 0.468 2.827 0.887
H15 0.468 2.827 -0.887

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 C7 H8 H9 H10 H11 H12 H13 H14 H15
C11.39932.42872.81022.42871.39931.51702.14943.40753.89303.40752.14942.15732.16392.1639
C21.39931.39512.41822.78472.40792.53411.08492.15103.40033.86823.39063.04732.69033.3929
C32.42871.39511.39562.41222.78473.82022.15321.08342.15423.39533.86964.29544.06554.5618
C42.81022.41821.39561.39562.41824.32693.40092.15251.08292.15253.40094.80374.83344.8334
C52.42872.78472.41221.39561.39513.82023.86963.39532.15421.08342.15324.29544.56184.0655
C61.39932.40792.78472.41821.39512.53413.39063.86823.40032.15101.08493.04733.39292.6903
C71.51702.53413.82024.32693.82022.53412.72674.68405.40974.68402.72671.09631.09381.0938
H82.14941.08492.15323.40093.86963.39062.72672.47744.29634.95314.28553.14962.47863.7081
H93.40752.15101.08342.15253.39533.86824.68402.47742.48194.29254.95315.11724.75765.5003
H103.89303.40032.15421.08292.15423.40035.40974.29632.48192.48194.29635.86465.89695.8969
H113.40753.86823.39532.15251.08342.15104.68404.95314.29252.48192.47745.11725.50034.7576
H122.14943.39063.86963.40092.15321.08492.72674.28554.95314.29632.47743.14963.70812.4786
H132.15733.04734.29544.80374.29543.04731.09633.14965.11725.86465.11723.14961.77301.7730
H142.16392.69034.06554.83344.56183.39291.09382.47864.75765.89695.50033.70811.77301.7750
H152.16393.39294.56184.83344.06552.69031.09383.70815.50035.89694.75762.47861.77301.7750

picture of toluene state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 C3 120.722 C1 C2 H8 119.286
C1 C6 C5 120.722 C1 C6 H12 119.286
C1 C7 H13 110.238 C1 C7 H14 110.921
C1 C7 H15 110.921 C2 C1 C6 118.732
C2 C1 C7 120.627 C2 C3 C4 120.116
C2 C3 H9 119.891 C3 C2 H8 119.992
C3 C4 C5 119.593 C3 C4 H10 120.203
C4 C3 H9 119.993 C4 C5 C6 120.116
C4 C5 H11 119.993 C5 C4 H10 120.203
C5 C6 H12 119.992 C6 C1 C7 120.627
C6 C5 H11 119.891 H13 C7 H14 108.102
H13 C7 H15 108.102 H14 C7 H15 108.459
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at M06-2X/3-21G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.046      
2 C -0.198      
3 C -0.208      
4 C -0.214      
5 C -0.208      
6 C -0.198      
7 C -0.590      
8 H 0.200      
9 H 0.208      
10 H 0.208      
11 H 0.208      
12 H 0.200      
13 H 0.222      
14 H 0.208      
15 H 0.208      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -0.056 0.368 0.000 0.372
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -46.729 -0.144 0.000
y -0.144 -37.256 0.000
z 0.000 0.000 -37.866
Traceless
 xyz
x -9.168 -0.144 0.000
y -0.144 5.042 0.000
z 0.000 0.000 4.126
Polar
3z2-r28.253
x2-y2-9.473
xy-0.144
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.656 -0.086 0.000
y -0.086 12.437 0.000
z 0.000 0.000 10.853


<r2> (average value of r2) Å2
<r2> 201.196
(<r2>)1/2 14.184