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

using model chemistry: PBEPBE/STO-3G

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes CS 1A'
Energy calculated at PBEPBE/STO-3G
 hartrees
Energy at 0K-414.934146
Energy at 298.15K-414.940302
Nuclear repulsion energy394.701104
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 PBEPBE/STO-3G
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' 3550 3243 17.01      
2 A' 3411 3117 2.27      
3 A' 3403 3109 13.34      
4 A' 3396 3102 6.39      
5 A' 3388 3095 2.11      
6 A' 3380 3088 1.57      
7 A' 1792 1637 49.20      
8 A' 1695 1549 3.35      
9 A' 1680 1535 1.99      
10 A' 1570 1434 4.21      
11 A' 1528 1396 18.18      
12 A' 1418 1295 39.26      
13 A' 1376 1257 0.88      
14 A' 1361 1243 5.22      
15 A' 1240 1133 62.79      
16 A' 1216 1111 0.09      
17 A' 1204 1100 55.16      
18 A' 1126 1029 6.52      
19 A' 1099 1004 49.19      
20 A' 1068 976 7.48      
21 A' 1033 944 2.88      
22 A' 761 695 3.22      
23 A' 634 579 0.03      
24 A' 570 521 33.16      
25 A' 460 420 3.66      
26 A' 346 316 5.14      
27 A' 168 154 0.58      
28 A" 1021 932 0.02      
29 A" 1006 919 0.01      
30 A" 953 870 1.37      
31 A" 881 805 0.02      
32 A" 784 716 15.06      
33 A" 716 654 8.56      
34 A" 660 603 73.73      
35 A" 617 564 6.50      
36 A" 421 384 2.80      
37 A" 409 373 0.19      
38 A" 153 140 0.73      
39 A" 56 51 0.30      

Unscaled Zero Point Vibrational Energy (zpe) 25774.4 cm-1
Scaled (by 0.9136) Zero Point Vibrational Energy (zpe) 23547.5 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 PBEPBE/STO-3G
ABC
0.12267 0.03893 0.02955

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

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.217 0.000
C2 1.328 -0.291 0.000
C3 1.558 -1.683 0.000
C4 0.462 -2.580 0.000
C5 -0.863 -2.081 0.000
C6 -1.096 -0.688 0.000
C7 -0.198 1.737 0.000
O8 0.705 2.625 0.000
O9 -1.600 2.063 0.000
H10 2.168 0.428 0.000
H11 2.591 -2.073 0.000
H12 0.641 -3.670 0.000
H13 -1.716 -2.783 0.000
H14 -2.125 -0.288 0.000
H15 -1.547 3.103 0.000

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 C7 O8 O9 H10 H11 H12 H13 H14 H15
C11.42162.45722.83512.45521.42171.53272.50852.44252.17813.45793.93953.45582.18463.2742
C21.42161.41142.44752.82932.45622.53762.98103.75631.10562.18433.44813.93363.45324.4477
C32.45721.41141.41572.45282.83393.84454.39134.89922.19771.10432.18773.45313.93845.7049
C42.83512.44751.41571.41552.45064.36725.21025.08003.45792.18831.10442.18743.45666.0274
C52.45522.82932.45281.41551.41243.87604.96034.20923.93473.45362.18731.10432.19345.2290
C61.42172.45622.83392.45061.41242.58653.77092.79693.44953.93823.45052.18401.10463.8177
C71.53272.53763.84454.36723.87602.58651.26601.43952.70374.72145.47164.76792.79581.9200
O82.50852.98104.39135.21024.96033.77091.26602.37262.63905.06176.29465.92444.06142.3029
O92.44253.75634.89925.08004.20922.79691.43952.37264.10725.88776.15504.84672.40871.0411
H102.17811.10562.19773.45793.93473.44952.70372.63904.10722.53634.37295.03904.35264.5780
H113.45792.18431.10432.18833.45363.93824.72145.06175.88772.53632.52034.36485.04276.6265
H123.93953.44812.18771.10442.18733.45055.47166.29466.15504.37292.52032.51844.36927.1172
H133.45583.93363.45312.18741.10432.18404.76795.92444.84675.03904.36482.51842.52805.8875
H142.18463.45323.93843.45662.19341.10462.79584.06142.40874.35265.04274.36922.52803.4394
H153.27424.44775.70496.02745.22903.81771.92002.30291.04114.57806.62657.11725.88753.4394

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 120.302 C1 C2 H10 118.524
C1 C6 C5 120.061 C1 C6 H14 119.177
C1 C7 O8 127.090 C1 C7 O9 110.486
C2 C1 C6 119.501 C2 C1 C7 118.344
C2 C3 C4 119.931 C2 C3 H11 120.026
C3 C2 H10 121.174 C3 C4 C5 120.077
C3 C4 H12 119.973 C4 C3 H11 120.043
C4 C5 C6 120.128 C4 C5 H13 119.962
C5 C4 H12 119.949 C5 C6 H14 120.761
C6 C1 C7 122.155 C6 C5 H13 119.910
C7 O9 H15 100.190 O8 C7 O9 122.424
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/STO-3G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.022      
2 C -0.078      
3 C -0.084      
4 C -0.080      
5 C -0.083      
6 C -0.080      
7 C 0.159      
8 O -0.198      
9 O -0.188      
10 H 0.096      
11 H 0.089      
12 H 0.088      
13 H 0.089      
14 H 0.097      
15 H 0.196      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -0.740 -0.504 0.000 0.896
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -44.593 -4.251 0.000
y -4.251 -41.793 0.000
z 0.000 0.000 -48.442
Traceless
 xyz
x 0.524 -4.251 0.000
y -4.251 4.725 0.000
z 0.000 0.000 -5.249
Polar
3z2-r2-10.497
x2-y2-2.800
xy-4.251
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 8.847 -0.619 0.000
y -0.619 11.772 0.000
z 0.000 0.000 1.360


<r2> (average value of r2) Å2
<r2> 341.743
(<r2>)1/2 18.486