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

using model chemistry: HSEh1PBE/3-21G

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/3-21G
 hartrees
Energy at 0K-418.062720
Energy at 298.15K-418.070041
HF Energy-418.062720
Nuclear repulsion energy405.010452
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/3-21G
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' 3565 3435 48.16      
2 A' 3266 3146 1.12      
3 A' 3248 3129 7.01      
4 A' 3237 3119 5.45      
5 A' 3228 3110 7.48      
6 A' 3216 3098 0.36      
7 A' 1795 1729 205.42      
8 A' 1661 1600 14.58      
9 A' 1640 1580 5.22      
10 A' 1551 1494 2.40      
11 A' 1515 1459 19.35      
12 A' 1421 1369 110.92      
13 A' 1381 1331 7.49      
14 A' 1366 1316 3.66      
15 A' 1243 1198 8.14      
16 A' 1233 1188 0.88      
17 A' 1207 1163 130.87      
18 A' 1132 1090 24.74      
19 A' 1092 1052 187.58      
20 A' 1069 1029 29.08      
21 A' 1046 1008 4.23      
22 A' 789 760 4.22      
23 A' 660 635 0.24      
24 A' 641 617 52.28      
25 A' 507 488 6.14      
26 A' 395 381 8.77      
27 A' 217 209 1.21      
28 A" 1060 1021 0.22      
29 A" 1036 998 0.13      
30 A" 994 957 2.87      
31 A" 893 861 0.02      
32 A" 851 820 0.20      
33 A" 743 715 147.42      
34 A" 739 711 32.53      
35 A" 605 583 100.95      
36 A" 444 428 13.90      
37 A" 432 417 3.57      
38 A" 166 160 1.97      
39 A" 99 95 0.54      

Unscaled Zero Point Vibrational Energy (zpe) 25691.1 cm-1
Scaled (by 0.9633) Zero Point Vibrational Energy (zpe) 24748.2 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/3-21G
ABC
0.12810 0.04134 0.03125

See section I.F.4 to change rotational constant units
Geometric Data calculated at HSEh1PBE/3-21G

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.228 0.000
C2 1.292 -0.293 0.000
C3 1.477 -1.669 0.000
C4 0.371 -2.520 0.000
C5 -0.921 -1.993 0.000
C6 -1.110 -0.615 0.000
C7 -0.148 1.679 0.000
O8 0.784 2.487 0.000
O9 -1.473 2.037 0.000
H10 2.129 0.395 0.000
H11 2.480 -2.080 0.000
H12 0.516 -3.594 0.000
H13 -1.779 -2.655 0.000
H14 -2.101 -0.182 0.000
H15 -1.503 3.025 0.000

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 C7 O8 O9 H10 H11 H12 H13 H14 H15
C11.39322.40502.77282.40451.39431.45792.39062.33302.13583.38823.85693.38812.14103.1744
C21.39321.38882.40952.79042.42342.44132.82563.61621.08362.14603.39103.87403.39514.3377
C32.40501.38881.39542.42012.79373.72164.21344.73772.16461.08362.15153.40183.87565.5600
C42.77282.40951.39541.39512.41214.23025.02324.91583.40372.15461.08422.15363.40255.8520
C52.40452.79042.42011.39511.39023.75214.79314.06773.87353.40232.15121.08372.16175.0509
C61.39432.42342.79372.41211.39022.48793.63482.67753.39313.87743.39322.14671.08213.6611
C71.45792.44133.72164.23023.75212.48791.23341.37342.61404.58625.31434.63092.69791.9098
O82.39062.82564.21345.02324.79313.63481.23342.30202.48704.87146.08655.74543.93042.3495
O92.33303.61624.73774.91584.06772.67751.37342.30203.95945.70815.97224.70262.30620.9877
H102.13581.08362.16463.40373.87353.39312.61402.48703.95942.49954.30274.95724.26974.4841
H113.38822.14601.08362.15463.40233.87744.58624.87145.70812.49952.48024.29734.95926.4745
H123.85693.39102.15151.08422.15123.39325.31436.08655.97224.30272.48022.47864.30026.9194
H133.38813.87403.40182.15361.08372.14674.63095.74544.70264.95724.29732.47862.49475.6866
H142.14103.39513.87563.40252.16171.08212.69793.93042.30624.26974.95924.30022.49473.2617
H153.17444.33775.56005.85205.05093.66111.90982.34950.98774.48416.47456.91945.68663.2617

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 119.651 C1 C2 H10 118.626
C1 C6 C5 119.432 C1 C6 H14 119.131
C1 C7 O8 125.113 C1 C7 O9 110.940
C2 C1 C6 120.779 C2 C1 C7 117.787
C2 C3 C4 119.861 C2 C3 H11 119.943
C3 C2 H10 121.722 C3 C4 C5 120.281
C3 C4 H12 119.858 C4 C3 H11 120.196
C4 C5 C6 119.995 C4 C5 H13 120.117
C5 C4 H12 119.861 C5 C6 H14 121.438
C6 C1 C7 121.434 C6 C5 H13 119.888
C7 O9 H15 106.832 O8 C7 O9 123.948
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HSEh1PBE/3-21G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.138      
2 C -0.184      
3 C -0.219      
4 C -0.208      
5 C -0.217      
6 C -0.197      
7 C 0.685      
8 O -0.503      
9 O -0.586      
10 H 0.249      
11 H 0.228      
12 H 0.228      
13 H 0.227      
14 H 0.249      
15 H 0.385      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -1.159 -1.192 0.000 1.662
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -47.578 -6.239 0.000
y -6.239 -43.268 0.000
z 0.000 0.000 -54.695
Traceless
 xyz
x 1.403 -6.239 0.000
y -6.239 7.869 0.000
z 0.000 0.000 -9.272
Polar
3z2-r2-18.543
x2-y2-4.310
xy-6.239
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 11.705 -0.331 0.000
y -0.331 14.657 0.000
z 0.000 0.000 2.920


<r2> (average value of r2) Å2
<r2> 327.324
(<r2>)1/2 18.092