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 C4H6N2 (1H-Imidazole, 2-methyl-)

using model chemistry: HF/aug-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 HF/aug-cc-pVTZ
 hartrees
Energy at 0K-263.956579
Energy at 298.15K-263.964692
Nuclear repulsion energy227.334377
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 HF/aug-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 3904 3555 78.42      
2 A 3427 3120 3.26      
3 A 3397 3093 5.34      
4 A 3278 2984 7.40      
5 A 3211 2923 23.71      
6 A 3165 2882 30.53      
7 A 1757 1600 59.28      
8 A 1657 1509 15.10      
9 A 1623 1477 12.68      
10 A 1603 1460 6.57      
11 A 1573 1432 46.05      
12 A 1541 1403 1.34      
13 A 1494 1360 2.97      
14 A 1373 1250 15.20      
15 A 1244 1132 15.06      
16 A 1228 1118 1.37      
17 A 1164 1060 28.38      
18 A 1164 1060 1.59      
19 A 1093 995 10.97      
20 A 1049 955 5.98      
21 A 1003 913 4.89      
22 A 1001 911 1.52      
23 A 839 763 66.64      
24 A 758 690 10.00      
25 A 717 653 1.20      
26 A 691 629 6.59      
27 A 547 498 84.92      
28 A 375 341 5.88      
29 A 283 257 9.08      
30 A 81 73 0.37      

Unscaled Zero Point Vibrational Energy (zpe) 23119.0 cm-1
Scaled (by 0.9104) Zero Point Vibrational Energy (zpe) 21047.5 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 HF/aug-cc-pVTZ
ABC
0.30697 0.12183 0.08864

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

Point Group is C1

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 2.098 -0.026 0.000
H2 2.474 0.486 0.879
H3 2.478 -1.036 -0.002
H4 2.474 0.489 -0.877
N5 -0.162 1.038 0.000
H6 0.163 1.972 -0.002
C7 0.607 -0.072 -0.000
N8 -0.115 -1.139 -0.000
C9 -1.421 -0.715 -0.000
H10 -2.234 -1.407 0.000
C11 -1.473 0.628 0.000
H12 -2.289 1.314 0.000

Atom - Atom Distances (Å)
  C1 H2 H3 H4 N5 H6 C7 N8 C9 H10 C11 H12
C11.08411.07851.08412.49812.78231.49212.47743.58614.54743.63064.5879
H21.08411.75831.75512.83242.88542.13753.18054.16955.15014.04584.9139
H31.07851.75831.75833.35673.79592.10462.59483.91184.72674.28665.3147
H41.08411.75511.75832.83142.88212.13753.18174.17015.15104.04544.9132
N52.49812.83243.35672.83140.98911.34992.17752.15843.20501.37372.1456
H62.78232.88543.79592.88210.98912.09183.12383.11944.14292.11722.5392
C71.49212.13752.10462.13751.34992.09181.28852.12753.13932.19433.2107
N82.47743.18052.59483.18172.17753.12381.28851.37302.13632.22843.2777
C93.58614.16953.91184.17012.15843.11942.12751.37301.06771.34402.2068
H104.54745.15014.72675.15103.20504.14293.13932.13631.06772.17242.7206
C113.63064.04584.28664.04541.37372.11722.19432.22841.34402.17241.0664
H124.58794.91395.31474.91322.14562.53923.21073.27772.20682.72061.0664

picture of 1H-Imidazole, 2-methyl- state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C7 N5 122.962 C1 C7 N8 125.824
H2 C1 H3 108.785 H2 C1 H4 108.081
H2 C1 C7 111.141 H3 C1 H4 108.786
H3 C1 C7 108.844 H4 C1 C7 111.146
N5 C7 N8 111.214 N5 C11 C9 105.152
N5 C11 H12 122.623 H6 N5 C7 126.145
H6 N5 C11 126.511 C7 N5 C11 107.343
C7 N8 C9 106.093 N8 C9 H10 121.656
N8 C9 C11 110.198 C9 C11 H12 132.225
H10 C9 C11 128.146
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HF/aug-cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.659      
2 H 0.278      
3 H 0.303      
4 H 0.278      
5 N 0.037      
6 H 0.052      
7 C -0.055      
8 N -0.408      
9 C -0.365      
10 H 0.555      
11 C -0.612      
12 H 0.596      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.705 3.612 -0.003 3.680
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -30.875 0.690 -0.002
y 0.690 -34.763 -0.007
z -0.002 -0.007 -38.474
Traceless
 xyz
x 5.744 0.690 -0.002
y 0.690 -0.088 -0.007
z -0.002 -0.007 -5.655
Polar
3z2-r2-11.311
x2-y23.888
xy0.690
xz-0.002
yz-0.007


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 10.429 0.035 0.000
y 0.035 8.940 -0.000
z 0.000 -0.000 6.220


<r2> (average value of r2) Å2
<r2> 137.126
(<r2>)1/2 11.710