return to home page Computational Chemistry Comparison and Benchmark DataBase Release 22 (May 2022) Standard Reference Database 101 National Institute of Standards and Technology
You are here: Calculated > Energy > Optimized > Energy

All results from a given calculation for C4H4N2 (1,3-Diazine)

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 C2V 1A1
Energy calculated at PBEPBE/cc-pVDZ
 hartrees
Energy at 0K-264.020169
Energy at 298.15K-264.025905
Nuclear repulsion energy207.164368
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 A1 3133 3115 10.69      
2 A1 3086 3068 17.32      
3 A1 3076 3058 14.49      
4 A1 1569 1560 37.47      
5 A1 1384 1376 46.82      
6 A1 1128 1121 1.84      
7 A1 1053 1047 1.29      
8 A1 978 973 4.82      
9 A1 669 665 3.77      
10 A2 959 953 0.00      
11 A2 380 378 0.00      
12 B1 983 977 0.00      
13 B1 942 937 0.00      
14 B1 793 788 2.27      
15 B1 718 714 31.11      
16 B1 319 317 2.67      
17 B2 3078 3060 26.13      
18 B2 1570 1561 69.71      
19 B2 1438 1430 5.32      
20 B2 1331 1324 0.13      
21 B2 1264 1257 1.32      
22 B2 1199 1192 7.30      
23 B2 1057 1051 3.58      
24 B2 607 604 10.32      

Unscaled Zero Point Vibrational Energy (zpe) 16357.5 cm-1
Scaled (by 0.9942) Zero Point Vibrational Energy (zpe) 16262.7 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-pVDZ
ABC
0.20706 0.19899 0.10147

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

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.363
C2 0.000 0.000 -1.311
C3 0.000 1.191 0.625
C4 0.000 -1.191 0.625
N5 0.000 1.212 -0.722
N6 0.000 -1.212 -0.722
H7 0.000 0.000 2.463
H8 0.000 0.000 -2.415
H9 0.000 2.174 1.129
H10 0.000 -2.174 1.129

Atom - Atom Distances (Å)
  C1 C2 C3 C4 N5 N6 H7 H8 H9 H10
C12.67451.40171.40172.41212.41211.09953.77852.18652.1865
C22.67452.27332.27331.34731.34733.77401.10403.26793.2679
C31.40172.27332.38281.34742.75502.19033.26531.10413.4028
C41.40172.27332.38282.75501.34742.19033.26533.40281.1041
N52.41211.34731.34742.75502.42353.40782.08192.08623.8586
N62.41211.34732.75501.34742.42353.40782.08193.85862.0862
H71.09953.77402.19032.19033.40783.40784.87812.55062.5506
H83.77851.10403.26533.26532.08192.08194.87814.15764.1576
H92.18653.26791.10413.40282.08623.85862.55064.15764.3478
H102.18653.26793.40281.10413.85862.08622.55064.15764.3478

picture of 1,3-Diazine state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C3 N5 122.651 C1 C3 H9 121.063
C1 C4 N6 122.651 C1 C4 H10 121.063
C2 N5 C3 115.056 C2 N6 C4 115.056
C3 C1 C4 116.424 C3 C1 H7 121.788
C4 C1 H7 121.788 N5 C2 N6 128.161
N5 C2 H8 115.920 N5 C3 H9 116.285
N6 C2 H8 115.920 N6 C4 H10 116.285
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 -0.043      
2 C 0.121      
3 C 0.109      
4 C 0.109      
5 N -0.174      
6 N -0.174      
7 H -0.006      
8 H 0.025      
9 H 0.017      
10 H 0.017      


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 2.077 2.077
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -35.350 0.000 0.000
y 0.000 -36.352 0.000
z 0.000 0.000 -30.766
Traceless
 xyz
x -1.791 0.000 0.000
y 0.000 -3.294 0.000
z 0.000 0.000 5.085
Polar
3z2-r210.171
x2-y21.002
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.441 0.000 0.000
y 0.000 8.853 0.000
z 0.000 0.000 9.727


<r2> (average value of r2) Å2
<r2> 116.279
(<r2>)1/2 10.783