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 C6H5CH3 (toluene)

using model chemistry: B1B95/6-31G

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes CS 1A'
Energy calculated at B1B95/6-31G
 hartrees
Energy at 0K-271.371696
Energy at 298.15K-271.379817
Nuclear repulsion energy269.062210
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 B1B95/6-31G
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
4/u)
Dep P Dep U
1 A' 3244 3094 17.92      
2 A' 3219 3070 9.91      
3 A' 3203 3055 9.71      
4 A' 3130 2985 21.79      
5 A' 3057 2915 29.56      
6 A' 1685 1607 6.38      
7 A' 1561 1488 14.95      
8 A' 1532 1461 9.12      
9 A' 1457 1389 4.14      
10 A' 1266 1207 0.57      
11 A' 1238 1180 0.29      
12 A' 1098 1047 12.22      
13 A' 1072 1023 2.61      
14 A' 1037 989 0.07      
15 A' 1035 987 0.05      
16 A' 939 895 0.28      
17 A' 815 777 0.82      
18 A' 764 729 51.17      
19 A' 728 695 23.66      
20 A' 535 510 0.61      
21 A' 483 461 8.69      
22 A' 214 204 2.47      
23 A" 3229 3079 45.92      
24 A" 3205 3056 5.99      
25 A" 3157 3011 16.16      
26 A" 1665 1588 0.41      
27 A" 1541 1469 15.06      
28 A" 1506 1436 0.30      
29 A" 1393 1328 0.00      
30 A" 1385 1321 0.07      
31 A" 1220 1163 0.08      
32 A" 1140 1087 6.22      
33 A" 1028 980 0.02      
34 A" 1005 958 0.00      
35 A" 882 841 0.01      
36 A" 644 614 0.11      
37 A" 421 402 0.01      
38 A" 344 328 0.31      
39 A" 40 38 0.41      

Unscaled Zero Point Vibrational Energy (zpe) 28557.0 cm-1
Scaled (by 0.9537) Zero Point Vibrational Energy (zpe) 27234.8 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 B1B95/6-31G
ABC
0.18488 0.08403 0.05840

See section I.F.4 to change rotational constant units
Geometric Data calculated at B1B95/6-31G

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.004 0.913 0.000
C2 0.007 0.195 1.202
C3 0.007 -1.199 1.204
C4 0.006 -1.902 0.000
C5 0.007 -1.199 -1.204
C6 0.007 0.195 -1.202
C7 -0.028 2.419 0.000
H8 0.012 0.736 2.143
H9 0.012 -1.736 2.147
H10 0.009 -2.986 0.000
H11 0.012 -1.736 -2.147
H12 0.012 0.736 -2.143
H13 -1.058 2.793 0.000
H14 0.467 2.828 0.885
H15 0.467 2.828 -0.885

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 C7 H8 H9 H10 H11 H12 H13 H14 H15
C11.40012.43152.81502.43151.40011.50582.15053.40953.89893.40952.15052.15882.15952.1595
C21.40011.39422.41712.78112.40392.52791.08542.14963.40043.86543.38853.05412.69133.3906
C32.43151.39421.39452.40882.78113.81312.15051.08432.15473.39373.86654.30354.06574.5597
C42.81502.41711.39451.39452.41714.32073.39862.15301.08392.15303.39864.81384.83374.8337
C52.43152.78112.40881.39451.39423.81313.86653.39372.15471.08432.15054.30354.55974.0657
C61.40012.40392.78112.41711.39422.52793.38853.86543.40042.14961.08543.05413.39062.6913
C71.50582.52793.81314.32073.81312.52792.72534.67645.40464.67642.72531.09631.09311.0931
H82.15051.08542.15053.39863.86653.38852.72532.47154.29454.95084.28643.15752.48363.7083
H93.40952.14961.08432.15303.39373.86544.67642.47152.48404.29314.95085.12444.75675.4974
H103.89893.40042.15471.08392.15473.40045.40464.29452.48402.48404.29455.87625.89835.8983
H113.40953.86543.39372.15301.08432.14964.67644.95084.29312.48402.47155.12445.49744.7567
H122.15053.38853.86653.39862.15051.08542.72534.28644.95084.29452.47153.15753.70832.4836
H132.15883.05414.30354.81384.30353.05411.09633.15755.12445.87625.12443.15751.76381.7638
H142.15952.69134.06574.83374.55973.39061.09312.48364.75675.89835.49743.70831.76381.7692
H152.15953.39064.55974.83374.06572.69131.09313.70835.49745.89834.75672.48361.76381.7692

picture of toluene state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 C3 120.955 C1 C2 H8 119.278
C1 C6 C5 120.955 C1 C6 H12 119.278
C1 C7 H13 111.145 C1 C7 H14 111.391
C1 C7 H15 111.391 C2 C1 C6 118.293
C2 C1 C7 120.849 C2 C3 C4 120.163
C2 C3 H9 119.770 C3 C2 H8 119.767
C3 C4 C5 119.471 C3 C4 H10 120.264
C4 C3 H9 120.066 C4 C5 C6 120.163
C4 C5 H11 120.066 C5 C4 H10 120.264
C5 C6 H12 119.767 C6 C1 C7 120.849
C6 C5 H11 119.770 H13 C7 H14 107.339
H13 C7 H15 107.339 H14 C7 H15 108.038
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B1B95/6-31G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.061      
2 C -0.164      
3 C -0.154      
4 C -0.152      
5 C -0.154      
6 C -0.164      
7 C -0.517      
8 H 0.145      
9 H 0.150      
10 H 0.150      
11 H 0.150      
12 H 0.145      
13 H 0.177      
14 H 0.164      
15 H 0.164      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -0.051 0.375 0.000 0.379
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -45.206 -0.143 0.000
y -0.143 -37.307 0.000
z 0.000 0.000 -37.935
Traceless
 xyz
x -7.585 -0.143 0.000
y -0.143 4.263 0.000
z 0.000 0.000 3.321
Polar
3z2-r26.642
x2-y2-7.899
xy-0.143
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 4.275 -0.104 0.000
y -0.104 13.152 0.000
z 0.000 0.000 11.485


<r2> (average value of r2) Å2
<r2> 200.682
(<r2>)1/2 14.166