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

using model chemistry: HSEh1PBE/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 HSEh1PBE/6-31G*
 hartrees
Energy at 0K-420.382396
Energy at 298.15K-420.389507
Nuclear repulsion energy405.656860
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/6-31G*
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' 3752 3568 87.13      
2 A' 3253 3094 2.99      
3 A' 3248 3088 6.65      
4 A' 3235 3077 14.88      
5 A' 3225 3067 11.67      
6 A' 3213 3056 0.41      
7 A' 1858 1767 310.39      
8 A' 1688 1605 19.21      
9 A' 1667 1585 4.26      
10 A' 1552 1476 3.88      
11 A' 1506 1432 19.82      
12 A' 1418 1349 147.03      
13 A' 1398 1329 4.36      
14 A' 1351 1285 5.62      
15 A' 1236 1176 184.01      
16 A' 1205 1146 82.65      
17 A' 1196 1137 0.22      
18 A' 1146 1090 50.49      
19 A' 1114 1059 32.49      
20 A' 1063 1011 9.06      
21 A' 1024 974 1.08      
22 A' 787 749 12.94      
23 A' 641 609 55.19      
24 A' 631 600 0.03      
25 A' 502 477 5.71      
26 A' 386 367 5.67      
27 A' 214 203 1.44      
28 A" 1017 967 0.10      
29 A" 994 945 0.12      
30 A" 963 916 1.51      
31 A" 873 830 0.07      
32 A" 825 784 0.03      
33 A" 736 700 143.03      
34 A" 708 674 5.56      
35 A" 621 591 62.63      
36 A" 436 414 7.19      
37 A" 416 395 0.42      
38 A" 160 152 0.64      
39 A" 72 68 0.97      

Unscaled Zero Point Vibrational Energy (zpe) 25663.5 cm-1
Scaled (by 0.951) Zero Point Vibrational Energy (zpe) 24405.9 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/6-31G*
ABC
0.12977 0.04109 0.03121

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

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.228 0.000
C2 1.280 -0.330 0.000
C3 1.431 -1.710 0.000
C4 0.307 -2.533 0.000
C5 -0.971 -1.977 0.000
C6 -1.129 -0.597 0.000
C7 -0.112 1.690 0.000
O8 0.832 2.458 0.000
O9 -1.400 2.104 0.000
H10 2.139 0.333 0.000
H11 2.426 -2.144 0.000
H12 0.426 -3.612 0.000
H13 -1.845 -2.621 0.000
H14 -2.116 -0.150 0.000
H15 -1.323 3.070 0.000

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 C7 O8 O9 H10 H11 H12 H13 H14 H15
C11.39632.40852.77742.40891.39761.46652.38052.34152.14123.39303.86363.39372.14983.1351
C21.39631.38772.40822.78902.42332.45322.82403.62071.08492.14593.39143.87483.40114.2821
C32.40851.38771.39372.41692.79113.73334.21054.75002.16161.08572.15183.40093.87515.5163
C42.77742.40821.39371.39322.40994.24335.01844.94133.40142.15481.08622.15383.39815.8349
C52.40892.78902.41691.39321.38913.76604.78744.10393.87363.40112.15111.08582.15615.0591
C61.39762.42332.79112.40991.38912.50243.62982.71493.39693.87693.39292.14691.08403.6718
C71.46652.45323.73334.24333.76602.50241.21711.35312.62804.59825.32954.64582.72081.8361
O82.38052.82404.21055.01844.78743.62981.21712.25982.49464.87076.08405.74113.93642.2403
O92.34153.62074.75004.94134.10392.71491.35312.25983.95735.71776.00154.74592.36570.9684
H102.14121.08492.16163.40143.87363.39692.62802.49463.95732.49404.30094.95944.28234.4130
H113.39302.14591.08572.15483.40113.87694.59824.87075.71772.49402.48074.29794.96086.4223
H123.86363.39142.15181.08622.15113.39295.32956.08406.00154.30092.48072.47894.29566.9075
H133.39373.87483.40092.15381.08582.14694.64585.74114.74594.95944.29792.47892.48515.7143
H142.14983.40113.87513.39812.15611.08402.72083.93642.36574.28234.96084.29562.48513.3163
H153.13514.28215.51635.83495.05913.67181.83612.24030.96844.41306.42236.90755.71433.3163

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 119.800 C1 C2 H10 118.775
C1 C6 C5 119.634 C1 C6 H14 119.521
C1 C7 O8 124.757 C1 C7 O9 112.226
C2 C1 C6 120.305 C2 C1 C7 117.927
C2 C3 C4 119.949 C2 C3 H11 119.863
C3 C2 H10 121.425 C3 C4 C5 120.281
C3 C4 H12 119.869 C4 C3 H11 120.188
C4 C5 C6 120.032 C4 C5 H13 120.135
C5 C4 H12 119.851 C5 C6 H14 120.845
C6 C1 C7 121.769 C6 C5 H13 119.833
C7 O9 H15 103.296 O8 C7 O9 123.017
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HSEh1PBE/6-31G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.009      
2 C -0.174      
3 C -0.176      
4 C -0.152      
5 C -0.175      
6 C -0.177      
7 C 0.566      
8 O -0.479      
9 O -0.598      
10 H 0.202      
11 H 0.176      
12 H 0.175      
13 H 0.175      
14 H 0.197      
15 H 0.428      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -1.209 -1.478 0.000 1.910
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -47.711 -5.839 0.000
y -5.839 -43.991 0.000
z 0.000 0.000 -53.251
Traceless
 xyz
x 0.911 -5.839 0.000
y -5.839 6.490 0.000
z 0.000 0.000 -7.401
Polar
3z2-r2-14.801
x2-y2-3.720
xy-5.839
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 12.410 -0.232 0.000
y -0.232 15.547 0.000
z 0.000 0.000 4.117


<r2> (average value of r2) Å2
<r2> 327.560
(<r2>)1/2 18.099