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All results from a given calculation for C3H3N3O3 (cyanuric acid)

using model chemistry: BLYP/6-31G(2df,p)

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes D3H 1A1'
Energy calculated at BLYP/6-31G(2df,p)
 hartrees
Energy at 0K-506.065868
Energy at 298.15K-506.073050
HF Energy-506.065868
Nuclear repulsion energy443.055951
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 BLYP/6-31G(2df,p)
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
4/u)
Dep P Dep U
1 A1' 3537 3517 0.00      
2 A1' 1787 1777 0.00      
3 A1' 953 948 0.00      
4 A1' 636 632 0.00      
5 A2' 1317 1310 0.00      
6 A2' 1127 1121 0.00      
7 A2' 601 597 0.00      
8 A2" 721 717 47.65      
9 A2" 649 646 241.74      
10 A2" 121 120 1.68      
11 E' 3534 3515 115.10      
11 E' 3534 3515 115.08      
12 E' 1768 1758 727.40      
12 E' 1768 1758 727.40      
13 E' 1383 1376 225.97      
13 E' 1383 1376 225.86      
14 E' 1349 1341 102.85      
14 E' 1349 1341 102.88      
15 E' 981 976 9.77      
15 E' 981 976 9.77      
16 E' 494 491 26.67      
16 E' 494 491 26.67      
17 E' 373 370 19.39      
17 E' 373 370 19.39      
18 E" 723 719 0.00      
18 E" 723 719 0.00      
19 E" 578 575 0.00      
19 E" 578 575 0.00      
20 E" 146 145 0.00      
20 E" 146 145 0.00      

Unscaled Zero Point Vibrational Energy (zpe) 17051.5 cm-1
Scaled (by 0.9945) Zero Point Vibrational Energy (zpe) 16957.7 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 BLYP/6-31G(2df,p)
ABC
0.06597 0.06597 0.03299

See section I.F.4 to change rotational constant units
Geometric Data calculated at BLYP/6-31G(2df,p)

Point Group is D3h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 1.258 0.726 0.000
C2 -1.258 0.726 0.000
C3 0.000 -1.452 0.000
N4 0.000 1.347 0.000
N5 -1.167 -0.674 0.000
N6 1.167 -0.674 0.000
O7 2.312 1.335 0.000
O8 -2.312 1.335 0.000
O9 0.000 -2.670 0.000
H10 0.000 2.364 0.000
H11 -2.047 -1.182 0.000
H12 2.047 -1.182 0.000

Atom - Atom Distances (Å)
  C1 C2 C3 N4 N5 N6 O7 O8 O9 H10 H11 H12
C12.51532.51531.40262.79941.40261.21753.62123.62122.06523.81652.0652
C22.51532.51531.40261.40262.79943.62121.21753.62122.06522.06523.8165
C32.51532.51532.79941.40261.40263.62123.62121.21753.81652.06522.0652
N41.40261.40262.79942.33332.33332.31212.31214.01681.01713.25413.2541
N52.79941.40261.40262.33332.33334.01682.31212.31213.25411.01713.2541
N61.40262.79941.40262.33332.33332.31214.01682.31213.25413.25411.0171
O71.21753.62123.62122.31214.01682.31214.62414.62412.53085.03402.5308
O83.62121.21753.62122.31212.31214.01684.62414.62412.53082.53085.0340
O93.62123.62121.21754.01682.31212.31214.62414.62415.03402.53082.5308
H102.06522.06523.81651.01713.25413.25412.53082.53085.03404.09504.0950
H113.81652.06522.06523.25411.01713.25415.03402.53082.53084.09504.0950
H122.06523.81652.06523.25413.25411.01712.53085.03402.53084.09504.0950

picture of cyanuric acid state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 N4 C2 127.442 C1 N4 H10 116.279
C1 N6 C3 127.442 C1 N6 H12 116.279
C2 N4 H10 116.279 C2 N5 C3 127.442
C2 N5 H11 116.279 C3 N5 H11 116.279
C3 N6 H12 116.279 N4 C1 N6 112.558
N4 C1 O7 123.721 N4 C2 N5 112.558
N4 C2 O8 123.721 N5 C2 O8 123.721
N5 C3 N6 112.558 N5 C3 O9 123.721
N6 C1 O7 123.721 N6 C3 O9 123.721
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at BLYP/6-31G(2df,p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.443      
2 C 0.443      
3 C 0.443      
4 N -0.380      
5 N -0.380      
6 N -0.380      
7 O -0.331      
8 O -0.331      
9 O -0.331      
10 H 0.268      
11 H 0.268      
12 H 0.268      


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


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -55.476 0.000 0.000
y 0.000 -55.476 0.000
z 0.000 0.000 -48.241
Traceless
 xyz
x -3.618 0.000 0.000
y 0.000 -3.618 0.000
z 0.000 0.000 7.235
Polar
3z2-r214.470
x2-y20.000
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 11.244 0.000 0.000
y 0.000 11.244 0.000
z 0.000 0.000 4.462


<r2> (average value of r2) Å2
<r2> 297.040
(<r2>)1/2 17.235