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

using model chemistry: PBEPBE/cc-pVDZ

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/cc-pVDZ
 hartrees
Energy at 0K-420.359458
Energy at 298.15K-420.366394
Nuclear repulsion energy402.030024
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/cc-pVDZ
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
(Å4/u)
Dep P Dep U
1 A' 3591 3571 63.48      
2 A' 3151 3133 3.02      
3 A' 3145 3127 5.99      
4 A' 3134 3116 12.61      
5 A' 3124 3105 10.24      
6 A' 3112 3094 0.18      
7 A' 1755 1745 255.38      
8 A' 1613 1603 15.64      
9 A' 1592 1583 4.15      
10 A' 1474 1466 3.74      
11 A' 1434 1426 15.58      
12 A' 1378 1370 2.67      
13 A' 1345 1337 112.65      
14 A' 1277 1270 6.05      
15 A' 1175 1168 117.08      
16 A' 1143 1136 81.81      
17 A' 1138 1131 6.09      
18 A' 1086 1080 59.96      
19 A' 1061 1055 52.55      
20 A' 1021 1015 12.82      
21 A' 987 981 1.70      
22 A' 754 750 8.99      
23 A' 612 609 47.21      
24 A' 607 603 0.04      
25 A' 481 479 5.62      
26 A' 373 371 5.32      
27 A' 207 205 1.31      
28 A" 984 978 0.02      
29 A" 964 959 0.09      
30 A" 931 925 0.69      
31 A" 839 835 0.06      
32 A" 802 797 0.01      
33 A" 708 704 95.31      
34 A" 689 685 12.92      
35 A" 600 597 47.50      
36 A" 422 420 7.31      
37 A" 401 398 0.45      
38 A" 152 152 0.78      
39 A" 76 75 0.90      

Unscaled Zero Point Vibrational Energy (zpe) 24668.4 cm-1
Scaled (by 0.9942) Zero Point Vibrational Energy (zpe) 24525.3 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 PBEPBE/cc-pVDZ
ABC
0.12734 0.04042 0.03068

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBE/cc-pVDZ

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.225 0.000
C2 1.276 -0.373 0.000
C3 1.398 -1.767 0.000
C4 0.245 -2.572 0.000
C5 -1.029 -1.979 0.000
C6 -1.155 -0.584 0.000
C7 -0.068 1.714 0.000
O8 0.903 2.461 0.000
O9 -1.350 2.187 0.000
H10 2.157 0.285 0.000
H11 2.395 -2.232 0.000
H12 0.341 -3.668 0.000
H13 -1.929 -2.611 0.000
H14 -2.146 -0.110 0.000
H15 -1.244 3.165 0.000

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 C7 O8 O9 H10 H11 H12 H13 H14 H15
C11.40932.43342.80752.43241.40991.49112.41172.38162.15783.43053.90763.42962.17183.1926
C21.40931.39962.42882.80952.44052.48252.85853.66731.09902.16933.42543.90933.43214.3438
C32.43341.39961.40562.43562.81383.77744.25734.81502.18761.09972.17493.43203.91185.5952
C42.80752.42881.40561.40502.43204.29775.07595.01893.43712.17601.10012.17473.43185.9271
C52.43242.80952.43561.40501.40153.81674.84234.17843.90813.43242.17391.09982.17765.1489
C61.40992.44052.81382.43201.40152.54233.67492.77713.42403.91363.42782.17001.09803.7497
C71.49112.48253.77744.29773.81672.54231.22451.36662.64474.65135.39784.70882.76541.8677
O82.41172.85854.25735.07594.84233.67491.22452.26952.51234.92436.15485.80903.98812.2592
O92.38163.66734.81505.01894.17842.77711.36662.26953.98985.79186.09384.83232.43080.9841
H102.15781.09902.18763.43713.90813.42402.64472.51233.98982.52744.34985.00794.32094.4571
H113.43052.16931.09972.17603.43243.91364.65134.92435.79182.52742.50634.34015.01156.5088
H123.90763.42542.17491.10012.17393.42785.39786.15486.09384.34982.50632.50374.34047.0143
H133.42963.90933.43202.17471.09982.17004.70885.80904.83235.00794.34012.50372.51015.8164
H142.17183.43213.91183.43182.17761.09802.76543.98812.43084.32095.01154.34042.51013.3971
H153.19264.34385.59525.92715.14893.74971.86772.25920.98414.45716.50887.01435.81643.3971

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 120.069 C1 C2 H10 118.174
C1 C6 C5 119.808 C1 C6 H14 119.475
C1 C7 O8 124.977 C1 C7 O9 112.820
C2 C1 C6 119.921 C2 C1 C7 117.696
C2 C3 C4 119.950 C2 C3 H11 119.963
C3 C2 H10 121.756 C3 C4 C5 120.126
C3 C4 H12 119.958 C4 C3 H11 120.087
C4 C5 C6 120.125 C4 C5 H13 120.009
C5 C4 H12 119.915 C5 C6 H14 120.717
C6 C1 C7 122.383 C6 C5 H13 119.866
C7 O9 H15 104.029 O8 C7 O9 122.203
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.056      
2 C 0.054      
3 C 0.031      
4 C 0.032      
5 C 0.029      
6 C 0.038      
7 C 0.154      
8 O -0.214      
9 O -0.143      
10 H -0.016      
11 H -0.011      
12 H -0.013      
13 H -0.012      
14 H -0.019      
15 H 0.145      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -1.183 -1.261 0.000 1.729
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -48.622 -5.485 0.000
y -5.485 -44.743 0.000
z 0.000 0.000 -53.580
Traceless
 xyz
x 0.540 -5.485 0.000
y -5.485 6.358 0.000
z 0.000 0.000 -6.898
Polar
3z2-r2-13.796
x2-y2-3.879
xy-5.485
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 13.424 -0.388 0.000
y -0.388 17.019 0.000
z 0.000 0.000 4.631


<r2> (average value of r2) Å2
<r2> 333.130
(<r2>)1/2 18.252