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All results from a given calculation for C6H5COOH (benzoic acid)

using model chemistry: mPW1PW91/6-31G**

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes CS 1A'
Energy calculated at mPW1PW91/6-31G**
 hartrees
Energy at 0K-420.733317
Energy at 298.15K-420.740452
Nuclear repulsion energy405.821818
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 mPW1PW91/6-31G**
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' 3834 3648 92.31      
2 A' 3254 3097 2.95      
3 A' 3250 3092 5.42      
4 A' 3237 3080 12.96      
5 A' 3228 3071 10.43      
6 A' 3216 3060 0.36      
7 A' 1857 1767 309.53      
8 A' 1687 1605 18.67      
9 A' 1666 1585 4.40      
10 A' 1548 1473 4.03      
11 A' 1503 1430 20.35      
12 A' 1416 1348 165.49      
13 A' 1394 1326 5.06      
14 A' 1348 1282 4.72      
15 A' 1228 1169 148.44      
16 A' 1201 1143 103.22      
17 A' 1193 1135 0.25      
18 A' 1147 1091 51.54      
19 A' 1112 1058 30.73      
20 A' 1062 1011 9.42      
21 A' 1024 974 0.97      
22 A' 787 749 13.90      
23 A' 641 610 55.55      
24 A' 631 600 0.02      
25 A' 502 478 5.66      
26 A' 386 367 5.66      
27 A' 214 204 1.48      
28 A" 1021 972 0.05      
29 A" 1001 953 0.10      
30 A" 966 919 1.40      
31 A" 875 832 0.05      
32 A" 825 785 0.04      
33 A" 736 700 138.25      
34 A" 709 674 4.75      
35 A" 614 584 64.92      
36 A" 435 414 7.71      
37 A" 415 395 0.43      
38 A" 159 152 0.64      
39 A" 70 66 1.03      

Unscaled Zero Point Vibrational Energy (zpe) 25695.7 cm-1
Scaled (by 0.9515) Zero Point Vibrational Energy (zpe) 24449.4 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 mPW1PW91/6-31G**
ABC
0.12991 0.04110 0.03122

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/6-31G**

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.220 0.000
C2 1.267 -0.368 0.000
C3 1.388 -1.751 0.000
C4 0.246 -2.549 0.000
C5 -1.018 -1.964 0.000
C6 -1.145 -0.580 0.000
C7 -0.072 1.701 0.000
O8 0.889 2.439 0.000
O9 -1.335 2.171 0.000
H10 2.137 0.278 0.000
H11 2.372 -2.208 0.000
H12 0.342 -3.630 0.000
H13 -1.905 -2.588 0.000
H14 -2.123 -0.115 0.000
H15 -1.255 3.135 0.000

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 C7 O8 O9 H10 H11 H12 H13 H14 H15
C11.39672.41132.78062.41011.39701.48252.38982.36332.13743.39473.86563.39362.14953.1727
C21.39671.38812.40782.78662.42062.46452.83263.63501.08392.14643.39033.87113.39914.3158
C32.41131.38811.39352.41572.79073.74834.21974.77462.16251.08452.15093.39823.87395.5547
C42.78062.40781.39351.39292.41084.26235.02944.97783.40092.15281.08502.15163.39675.8787
C52.41012.78662.41571.39291.38973.78564.79814.14713.87013.39852.15011.08452.15415.1043
C61.39702.42062.79072.41081.38972.52133.64012.75763.39183.87523.39272.14681.08323.7165
C71.48252.46453.74834.26233.78562.52131.21091.34762.62724.61025.34724.66462.74021.8585
O82.38982.83264.21975.02944.79813.64011.21092.23942.49554.87816.09365.75103.94902.2532
O92.36333.63504.77464.97784.14712.75761.34762.23943.95395.73716.03824.79282.41820.9672
H102.13741.08392.16253.40093.87013.39182.62722.49553.95392.49724.30054.95464.27784.4340
H113.39472.14641.08452.15283.39853.87524.61024.87815.73712.49722.47864.29384.95836.4573
H123.86563.39032.15091.08502.15013.39275.34726.09366.03824.30052.47862.47664.29286.9504
H133.39363.87113.39822.15161.08452.14684.66465.75104.79284.95464.29382.47662.48225.7594
H142.14953.39913.87393.39672.15411.08322.74023.94902.41824.27784.95834.29282.48223.3641
H153.17274.31585.55475.87875.10433.71651.85852.25320.96724.43406.45736.95045.75943.3641

picture of benzoic acid state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 C3 119.974 C1 C2 H10 118.463
C1 C6 C5 119.729 C1 C6 H14 119.609
C1 C7 O8 124.765 C1 C7 O9 113.163
C2 C1 C6 120.096 C2 C1 C7 117.703
C2 C3 C4 119.906 C2 C3 H11 119.971
C3 C2 H10 121.563 C3 C4 C5 120.217
C3 C4 H12 119.904 C4 C3 H11 120.123
C4 C5 C6 120.078 C4 C5 H13 120.056
C5 C4 H12 119.879 C5 C6 H14 120.662
C6 C1 C7 122.201 C6 C5 H13 119.865
C7 O9 H15 105.635 O8 C7 O9 122.071
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/6-31G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.028      
2 C -0.116      
3 C -0.138      
4 C -0.113      
5 C -0.138      
6 C -0.118      
7 C 0.592      
8 O -0.489      
9 O -0.519      
10 H 0.162      
11 H 0.137      
12 H 0.136      
13 H 0.136      
14 H 0.156      
15 H 0.340      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -1.248 -1.455 0.000 1.917
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -47.681 -5.850 0.000
y -5.850 -43.870 0.000
z 0.000 0.000 -53.098
Traceless
 xyz
x 0.804 -5.850 0.000
y -5.850 6.519 0.000
z 0.000 0.000 -7.323
Polar
3z2-r2-14.646
x2-y2-3.810
xy-5.850
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 12.442 -0.198 0.000
y -0.198 15.538 0.000
z 0.000 0.000 4.180


<r2> (average value of r2) Å2
<r2> 327.348
(<r2>)1/2 18.093