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

using model chemistry: PBE1PBE/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 PBE1PBE/6-31G*
 hartrees
Energy at 0K-420.346525
Energy at 298.15K-420.353637
HF Energy-420.346525
Nuclear repulsion energy405.636167
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 PBE1PBE/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' 3759 3572 88.43      
2 A' 3253 3092 3.09      
3 A' 3249 3088 5.43      
4 A' 3237 3076 14.15      
5 A' 3227 3067 10.77      
6 A' 3215 3055 0.35      
7 A' 1861 1769 310.30      
8 A' 1690 1606 18.94      
9 A' 1669 1586 4.19      
10 A' 1553 1475 3.98      
11 A' 1506 1432 20.12      
12 A' 1420 1349 150.30      
13 A' 1399 1329 4.44      
14 A' 1352 1284 5.44      
15 A' 1237 1175 183.98      
16 A' 1207 1147 80.99      
17 A' 1196 1137 0.24      
18 A' 1148 1091 48.86      
19 A' 1115 1060 31.17      
20 A' 1064 1012 8.96      
21 A' 1024 973 1.07      
22 A' 787 748 13.54      
23 A' 640 609 55.45      
24 A' 630 599 0.02      
25 A' 502 477 5.68      
26 A' 386 367 5.61      
27 A' 214 204 1.45      
28 A" 1018 967 0.10      
29 A" 995 945 0.11      
30 A" 963 916 1.52      
31 A" 873 830 0.06      
32 A" 825 784 0.05      
33 A" 737 700 144.83      
34 A" 709 673 6.29      
35 A" 622 591 61.79      
36 A" 436 414 7.26      
37 A" 415 395 0.41      
38 A" 160 152 0.66      
39 A" 71 68 0.98      

Unscaled Zero Point Vibrational Energy (zpe) 25681.0 cm-1
Scaled (by 0.9503) Zero Point Vibrational Energy (zpe) 24404.6 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 PBE1PBE/6-31G*
ABC
0.12979 0.04108 0.03120

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBE1PBE/6-31G*

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.221 0.000
C2 1.271 -0.359 0.000
C3 1.402 -1.742 0.000
C4 0.265 -2.548 0.000
C5 -1.003 -1.971 0.000
C6 -1.140 -0.588 0.000
C7 -0.084 1.700 0.000
O8 0.869 2.449 0.000
O9 -1.353 2.158 0.000
H10 2.139 0.293 0.000
H11 2.391 -2.193 0.000
H12 0.368 -3.630 0.000
H13 -1.888 -2.602 0.000
H14 -2.123 -0.129 0.000
H15 -1.277 3.127 0.000

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 C7 O8 O9 H10 H11 H12 H13 H14 H15
C11.39722.41252.78222.41151.39781.48152.39062.36282.14003.39743.86913.39662.15163.1745
C21.39721.38862.40882.78772.42122.46542.83653.63641.08582.14833.39323.87413.40154.3187
C32.41251.38861.39412.41662.79133.74944.22414.77522.16391.08642.15313.40113.87645.5578
C42.78222.40881.39411.39352.41154.26305.03304.97703.40332.15501.08692.15403.39925.8815
C52.41152.78772.41661.39351.39003.78534.80014.14463.87313.40132.15231.08652.15575.1062
C61.39782.42122.79132.41151.39002.52033.64062.75483.39473.87773.39512.14861.08513.7181
C71.48152.46543.74944.26303.78532.52031.21121.34912.63104.61315.34984.66542.73941.8602
O82.39062.83654.22415.03304.80013.64061.21122.24052.50204.88436.09935.75393.94892.2508
O92.36283.63644.77524.97704.14462.75481.34912.24053.95895.73996.03904.79042.41360.9720
H102.14001.08582.16393.40333.87313.39472.63102.50203.95892.49834.30424.95964.28254.4390
H113.39742.14831.08642.15503.40133.87774.61314.88435.73992.49832.48154.29844.96286.4620
H123.86913.39322.15311.08692.15233.39515.34986.09936.03904.30422.48152.47944.29676.9551
H133.39663.87413.40112.15401.08652.14864.66545.75394.79044.95964.29842.47942.48405.7619
H142.15163.40153.87643.39922.15571.08512.73943.94892.41364.28254.96284.29672.48403.3646
H153.17454.31875.55785.88155.10623.71811.86022.25080.97204.43906.46206.95515.76193.3646

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 119.991 C1 C2 H10 118.519
C1 C6 C5 119.768 C1 C6 H14 119.594
C1 C7 O8 124.888 C1 C7 O9 113.093
C2 C1 C6 120.055 C2 C1 C7 117.810
C2 C3 C4 119.913 C2 C3 H11 119.954
C3 C2 H10 121.490 C3 C4 C5 120.207
C3 C4 H12 119.915 C4 C3 H11 120.133
C4 C5 C6 120.067 C4 C5 H13 120.075
C5 C4 H12 119.878 C5 C6 H14 120.638
C6 C1 C7 122.135 C6 C5 H13 119.858
C7 O9 H15 105.376 O8 C7 O9 122.019
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBE1PBE/6-31G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.002      
2 C -0.174      
3 C -0.180      
4 C -0.155      
5 C -0.179      
6 C -0.177      
7 C 0.572      
8 O -0.479      
9 O -0.599      
10 H 0.205      
11 H 0.180      
12 H 0.179      
13 H 0.178      
14 H 0.201      
15 H 0.430      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -1.212 -1.467 0.000 1.903
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -47.672 -5.836 0.000
y -5.836 -43.931 0.000
z 0.000 0.000 -53.296
Traceless
 xyz
x 0.941 -5.836 0.000
y -5.836 6.553 0.000
z 0.000 0.000 -7.494
Polar
3z2-r2-14.989
x2-y2-3.742
xy-5.836
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 12.394 -0.225 0.000
y -0.225 15.499 0.000
z 0.000 0.000 4.123


<r2> (average value of r2) Å2
<r2> 327.607
(<r2>)1/2 18.100