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

using model chemistry: HSEh1PBE/6-31+G**

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes CS 1A'
Energy calculated at HSEh1PBE/6-31+G**
 hartrees
Energy at 0K-420.411554
Energy at 298.15K-420.418667
HF Energy-420.411554
Nuclear repulsion energy405.394519
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 HSEh1PBE/6-31+G**
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' 3818 3645 105.43      
2 A' 3247 3100 2.86      
3 A' 3241 3094 6.90      
4 A' 3230 3084 9.20      
5 A' 3221 3076 9.06      
6 A' 3210 3065 0.37      
7 A' 1830 1747 388.15      
8 A' 1677 1601 20.22      
9 A' 1656 1581 4.88      
10 A' 1538 1469 5.20      
11 A' 1493 1426 18.31      
12 A' 1398 1335 104.76      
13 A' 1393 1330 75.62      
14 A' 1341 1281 3.76      
15 A' 1220 1165 127.05      
16 A' 1195 1141 104.19      
17 A' 1187 1133 0.38      
18 A' 1138 1086 66.37      
19 A' 1106 1056 42.92      
20 A' 1057 1009 12.61      
21 A' 1021 975 1.19      
22 A' 784 749 11.63      
23 A' 638 609 52.92      
24 A' 628 600 0.04      
25 A' 501 478 5.87      
26 A' 385 368 5.41      
27 A' 213 204 1.60      
28 A" 1020 973 0.04      
29 A" 1005 960 0.06      
30 A" 965 921 1.77      
31 A" 871 831 0.06      
32 A" 825 788 0.04      
33 A" 733 700 149.79      
34 A" 701 669 7.92      
35 A" 604 576 68.33      
36 A" 433 413 10.16      
37 A" 414 395 0.48      
38 A" 159 152 0.85      
39 A" 69 65 1.08      

Unscaled Zero Point Vibrational Energy (zpe) 25580.6 cm-1
Scaled (by 0.9548) Zero Point Vibrational Energy (zpe) 24424.3 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 HSEh1PBE/6-31+G**
ABC
0.12961 0.04103 0.03116

See section I.F.4 to change rotational constant units
Geometric Data calculated at HSEh1PBE/6-31+G**

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.227 0.000
C2 1.286 -0.320 0.000
C3 1.449 -1.699 0.000
C4 0.331 -2.533 0.000
C5 -0.953 -1.988 0.000
C6 -1.122 -0.608 0.000
C7 -0.129 1.689 0.000
O8 0.807 2.470 0.000
O9 -1.421 2.095 0.000
H10 2.140 0.349 0.000
H11 2.447 -2.125 0.000
H12 0.460 -3.611 0.000
H13 -1.821 -2.638 0.000
H14 -2.114 -0.170 0.000
H15 -1.370 3.059 0.000

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 C7 O8 O9 H10 H11 H12 H13 H14 H15
C11.39782.41072.78012.41111.39891.46722.38342.34662.14383.39483.86603.39552.15123.1457
C21.39781.38912.41082.79192.42592.45712.83093.62761.08492.14673.39373.87743.40384.2979
C32.41071.38911.39502.41892.79363.73754.21874.75732.16221.08542.15283.40263.87755.5307
C42.78012.41081.39501.39432.41214.24685.02584.94823.40352.15561.08592.15453.40005.8450
C52.41112.79192.41891.39431.39043.76774.79234.10933.87663.40272.15191.08552.15705.0640
C61.39892.42592.79362.41211.39042.50223.63232.71903.40023.87903.39482.14771.08403.6752
C71.46722.45713.73754.24683.76772.50221.21871.35432.63494.60275.33274.64652.71981.8486
O82.38342.83094.21875.02584.79233.63231.21872.25862.50534.87976.09135.74483.93712.2544
O92.34663.62764.75734.94824.10932.71901.35432.25863.96585.72486.00804.75022.36880.9656
H102.14381.08492.16223.40353.87663.40022.63492.50533.96582.49384.30254.96204.28604.4342
H113.39482.14671.08542.15563.40273.87904.60274.87975.72482.49382.48164.29944.96296.4381
H123.86603.39372.15281.08592.15193.39485.33276.09136.00804.30252.48162.47984.29726.9168
H133.39553.87743.40262.15451.08552.14774.64655.74484.75024.96204.29942.47982.48565.7155
H142.15123.40383.87753.40002.15701.08402.71983.93712.36884.28604.96294.29722.48563.3140
H153.14574.29795.53075.84505.06403.67521.84862.25440.96564.43426.43816.91685.71553.3140

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 119.765 C1 C2 H10 118.876
C1 C6 C5 119.632 C1 C6 H14 119.549
C1 C7 O8 124.838 C1 C7 O9 112.483
C2 C1 C6 120.315 C2 C1 C7 118.076
C2 C3 C4 119.977 C2 C3 H11 119.843
C3 C2 H10 121.359 C3 C4 C5 120.270
C3 C4 H12 119.876 C4 C3 H11 120.180
C4 C5 C6 120.041 C4 C5 H13 120.137
C5 C4 H12 119.854 C5 C6 H14 120.819
C6 C1 C7 121.609 C6 C5 H13 119.822
C7 O9 H15 104.412 O8 C7 O9 122.679
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HSEh1PBE/6-31+G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.055      
2 C -0.188      
3 C -0.204      
4 C -0.153      
5 C -0.240      
6 C -0.016      
7 C 0.446      
8 O -0.479      
9 O -0.468      
10 H 0.189      
11 H 0.164      
12 H 0.161      
13 H 0.162      
14 H 0.181      
15 H 0.390      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -1.236 -1.736 0.000 2.131
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -48.776 -6.170 0.000
y -6.170 -45.953 0.000
z 0.000 0.000 -54.892
Traceless
 xyz
x 1.646 -6.170 0.000
y -6.170 5.881 0.000
z 0.000 0.000 -7.528
Polar
3z2-r2-15.055
x2-y2-2.823
xy-6.170
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 13.833 -0.153 0.000
y -0.153 17.019 0.000
z 0.000 0.000 7.008


<r2> (average value of r2) Å2
<r2> 328.956
(<r2>)1/2 18.137