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

using model chemistry: PBEPBE/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 PBEPBE/6-31G
 hartrees
Energy at 0K-420.218754
Energy at 298.15K-420.225736
Nuclear repulsion energy400.337182
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/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' 3494 3446 32.25      
2 A' 3179 3135 4.13      
3 A' 3167 3123 12.29      
4 A' 3156 3112 16.23      
5 A' 3145 3101 12.98      
6 A' 3132 3089 0.42      
7 A' 1677 1654 224.84      
8 A' 1619 1597 18.17      
9 A' 1594 1572 11.38      
10 A' 1505 1484 3.29      
11 A' 1465 1445 15.23      
12 A' 1381 1362 3.21      
13 A' 1350 1331 101.06      
14 A' 1337 1319 2.57      
15 A' 1204 1187 5.42      
16 A' 1190 1174 0.29      
17 A' 1167 1151 126.41      
18 A' 1098 1083 6.17      
19 A' 1049 1034 97.52      
20 A' 1028 1014 141.45      
21 A' 1008 995 0.15      
22 A' 759 748 1.09      
23 A' 629 621 0.71      
24 A' 612 603 43.75      
25 A' 486 480 7.42      
26 A' 377 372 8.32      
27 A' 207 204 1.09      
28 A" 1003 989 0.37      
29 A" 978 964 0.10      
30 A" 946 933 3.60      
31 A" 857 845 0.04      
32 A" 803 791 8.39      
33 A" 703 694 129.67      
34 A" 696 686 18.80      
35 A" 611 602 89.88      
36 A" 427 421 9.22      
37 A" 408 403 0.58      
38 A" 157 155 0.76      
39 A" 75 74 0.73      

Unscaled Zero Point Vibrational Energy (zpe) 24838.9 cm-1
Scaled (by 0.9862) Zero Point Vibrational Energy (zpe) 24496.1 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/6-31G
ABC
0.12564 0.04025 0.03048

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

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.225 0.000
C2 1.297 -0.335 0.000
C3 1.459 -1.727 0.000
C4 0.329 -2.567 0.000
C5 -0.964 -2.012 0.000
C6 -1.133 -0.618 0.000
C7 -0.119 1.700 0.000
O8 0.833 2.509 0.000
O9 -1.444 2.140 0.000
H10 2.157 0.340 0.000
H11 2.464 -2.159 0.000
H12 0.456 -3.654 0.000
H13 -1.841 -2.665 0.000
H14 -2.130 -0.174 0.000
H15 -1.432 3.132 0.000

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 C7 O8 O9 H10 H11 H12 H13 H14 H15
C11.41292.43752.81192.43581.41291.47922.43102.39762.16023.42853.90583.42692.16733.2402
C21.41291.40172.43342.81532.44702.47912.88153.69251.09302.16543.42383.90873.43124.4121
C32.43751.40171.40832.44032.81973.77304.28234.83512.18151.09332.17213.43083.91125.6542
C42.81192.43341.40831.40792.43664.29055.10145.02963.43412.17321.09382.17213.43185.9651
C52.43582.81532.44031.40791.40323.80614.86484.17863.90803.43122.17151.09342.17625.1645
C61.41292.44702.81972.43661.40322.53013.69422.77543.42713.91303.42642.16571.09163.7621
C71.47922.47913.77304.29053.80612.53011.24991.39532.65184.64355.38434.69212.74831.9428
O82.43102.88154.28235.10144.86483.69421.24992.30632.54154.94486.17435.82443.99732.3493
O92.39763.69254.83515.02964.17862.77541.39532.30634.02555.80906.09694.82132.41320.9922
H102.16021.09302.18153.43413.90803.42712.65182.54154.02552.51764.34065.00144.31804.5474
H113.42852.16541.09332.17323.43123.91304.64354.94485.80902.51762.50264.33405.00456.5705
H123.90583.42382.17211.09382.17153.42645.38436.17436.09694.34062.50262.50074.33597.0434
H133.42693.90873.43082.17211.09342.16574.69215.82444.82135.00144.33402.50072.50825.8115
H142.16733.43123.91123.43182.17621.09162.74833.99732.41324.31805.00454.33592.50823.3785
H153.24024.41215.65425.96515.16453.76211.94282.34930.99224.54746.57057.04345.81153.3785

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 119.995 C1 C2 H10 118.536
C1 C6 C5 119.753 C1 C6 H14 119.300
C1 C7 O8 125.730 C1 C7 O9 113.010
C2 C1 C6 119.981 C2 C1 C7 117.984
C2 C3 C4 119.985 C2 C3 H11 119.917
C3 C2 H10 121.470 C3 C4 C5 120.118
C3 C4 H12 119.948 C4 C3 H11 120.098
C4 C5 C6 120.168 C4 C5 H13 120.018
C5 C4 H12 119.933 C5 C6 H14 120.947
C6 C1 C7 122.035 C6 C5 H13 119.814
C7 O9 H15 107.729 O8 C7 O9 121.260
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/6-31G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.049      
2 C -0.129      
3 C -0.150      
4 C -0.118      
5 C -0.150      
6 C -0.119      
7 C 0.360      
8 O -0.385      
9 O -0.528      
10 H 0.174      
11 H 0.147      
12 H 0.146      
13 H 0.146      
14 H 0.174      
15 H 0.382      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -1.095 -1.669 0.000 1.997
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -48.449 -6.276 0.000
y -6.276 -44.863 0.000
z 0.000 0.000 -53.737
Traceless
 xyz
x 0.851 -6.276 0.000
y -6.276 6.230 0.000
z 0.000 0.000 -7.081
Polar
3z2-r2-14.162
x2-y2-3.585
xy-6.276
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 12.850 -0.441 0.000
y -0.441 16.591 0.000
z 0.000 0.000 3.684


<r2> (average value of r2) Å2
<r2> 335.021
(<r2>)1/2 18.304