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

using model chemistry: PBEPBE/cc-pVTZ

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-pVTZ
 hartrees
Energy at 0K-420.477935
Energy at 298.15K-420.484855
Nuclear repulsion energy403.693838
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-pVTZ
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' 3635 3610 67.01      
2 A' 3139 3117 3.44      
3 A' 3131 3110 7.42      
4 A' 3121 3099 12.20      
5 A' 3111 3090 9.99      
6 A' 3100 3078 0.23      
7 A' 1735 1723 282.06      
8 A' 1602 1591 16.32      
9 A' 1581 1570 4.49      
10 A' 1480 1470 1.29      
11 A' 1441 1431 14.82      
12 A' 1354 1344 2.93      
13 A' 1333 1323 100.65      
14 A' 1299 1290 4.80      
15 A' 1176 1167 56.51      
16 A' 1152 1144 82.69      
17 A' 1149 1141 49.42      
18 A' 1083 1076 28.08      
19 A' 1060 1053 124.40      
20 A' 1023 1016 20.31      
21 A' 994 987 1.64      
22 A' 754 749 7.54      
23 A' 615 611 44.91      
24 A' 611 607 0.54      
25 A' 482 479 6.08      
26 A' 373 371 4.71      
27 A' 210 208 1.41      
28 A" 980 973 0.10      
29 A" 961 954 0.10      
30 A" 930 923 1.34      
31 A" 837 831 0.07      
32 A" 797 792 0.33      
33 A" 705 700 97.51      
34 A" 687 682 24.66      
35 A" 590 586 49.43      
36 A" 420 417 8.11      
37 A" 398 395 0.48      
38 A" 151 150 0.72      
39 A" 63 63 0.97      

Unscaled Zero Point Vibrational Energy (zpe) 24629.6 cm-1
Scaled (by 0.9931) Zero Point Vibrational Energy (zpe) 24459.7 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-pVTZ
ABC
0.12853 0.04069 0.03090

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

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.222 0.000
C2 1.275 -0.363 0.000
C3 1.407 -1.749 0.000
C4 0.267 -2.559 0.000
C5 -1.005 -1.980 0.000
C6 -1.142 -0.593 0.000
C7 -0.081 1.707 0.000
O8 0.876 2.461 0.000
O9 -1.367 2.170 0.000
H10 2.146 0.292 0.000
H11 2.399 -2.201 0.000
H12 0.370 -3.645 0.000
H13 -1.893 -2.613 0.000
H14 -2.130 -0.134 0.000
H15 -1.282 3.144 0.000

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 C7 O8 O9 H10 H11 H12 H13 H14 H15
C11.40262.42172.79422.42091.40301.48732.40382.37992.14703.41003.88523.40942.15943.1908
C21.40261.39232.41632.79502.42752.47492.85173.66021.09002.15473.40443.88563.41214.3403
C32.42171.39231.39832.42262.79863.76314.24314.80162.17081.09062.16083.41093.88765.5833
C42.79422.41631.39831.39752.41904.28075.05685.00383.41462.16201.09092.16063.40945.9100
C52.42092.79502.42261.39751.39423.80144.82294.16623.88473.41122.15971.09062.16165.1318
C61.40302.42752.79862.41901.39422.53283.66022.77223.40483.88913.40662.15561.08903.7395
C71.48732.47493.76314.28073.80142.53281.21841.36672.63904.62915.37164.68512.75451.8726
O82.40382.85174.24315.05684.82293.66021.21842.26232.51314.90436.12685.78053.97122.2641
O92.37993.66024.80165.00384.16622.77221.36672.26233.98385.77016.06954.81232.42740.9776
H102.14701.09002.17083.41463.88473.40482.63902.51313.98382.50594.31904.97534.29694.4595
H113.41002.15471.09062.16203.41123.88914.62914.90435.77012.50592.49004.31184.97816.4903
H123.88523.40442.16081.09092.15973.40665.37166.12686.06954.31902.49002.48764.31026.9876
H133.40943.88563.41092.16061.09062.15564.68515.78054.81234.97534.31182.48762.49035.7897
H142.15943.41213.88763.40942.16161.08902.75453.97122.42744.29694.97814.31022.49033.3862
H153.19084.34035.58335.91005.13183.73951.87262.26410.97764.45956.49036.98765.78973.3862

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 120.103 C1 C2 H10 118.399
C1 C6 C5 119.880 C1 C6 H14 119.585
C1 C7 O8 125.057 C1 C7 O9 112.934
C2 C1 C6 119.817 C2 C1 C7 117.802
C2 C3 C4 119.969 C2 C3 H11 119.930
C3 C2 H10 121.498 C3 C4 C5 120.118
C3 C4 H12 119.958 C4 C3 H11 120.101
C4 C5 C6 120.113 C4 C5 H13 120.038
C5 C4 H12 119.924 C5 C6 H14 120.535
C6 C1 C7 122.381 C6 C5 H13 119.848
C7 O9 H15 104.810 O8 C7 O9 122.009
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.014      
2 C -0.091      
3 C -0.100      
4 C -0.088      
5 C -0.096      
6 C -0.111      
7 C 0.267      
8 O -0.287      
9 O -0.226      
10 H 0.114      
11 H 0.106      
12 H 0.106      
13 H 0.104      
14 H 0.110      
15 H 0.205      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -1.187 -1.541 0.000 1.945
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -48.909 -5.680 0.000
y -5.680 -45.771 0.000
z 0.000 0.000 -54.094
Traceless
 xyz
x 1.024 -5.680 0.000
y -5.680 5.730 0.000
z 0.000 0.000 -6.754
Polar
3z2-r2-13.508
x2-y2-3.138
xy-5.680
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 14.012 -0.390 0.000
y -0.390 17.786 0.000
z 0.000 0.000 6.235


<r2> (average value of r2) Å2
<r2> 331.240
(<r2>)1/2 18.200