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All results from a given calculation for C4H6N2 (1H-Imidazole, 2-methyl-)

using model chemistry: HSEh1PBE/6-31+G**

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes CS 1A'
Energy calculated at HSEh1PBE/6-31+G**
 hartrees
Energy at 0K-265.272823
Energy at 298.15K-265.280591
HF Energy-265.272823
Nuclear repulsion energy225.325760
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 HSEh1PBE/6-31+G**
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 3704 3537 53.75      
2 A 3314 3164 1.80      
3 A 3284 3136 4.65      
4 A 3187 3043 2.37      
5 A 3123 2982 14.51      
6 A 3060 2922 31.45      
7 A 1625 1552 41.91      
8 A 1543 1473 6.99      
9 A 1511 1443 7.26      
10 A 1485 1418 10.14      
11 A 1457 1391 43.18      
12 A 1430 1366 0.60      
13 A 1404 1340 0.80      
14 A 1292 1234 15.28      
15 A 1213 1158 3.94      
16 A 1147 1095 6.44      
17 A 1117 1066 29.92      
18 A 1059 1011 1.17      
19 A 1012 967 7.58      
20 A 973 929 2.03      
21 A 931 889 2.61      
22 A 872 832 10.63      
23 A 732 699 62.67      
24 A 692 661 5.09      
25 A 688 657 0.66      
26 A 644 615 14.98      
27 A 533 509 74.03      
28 A 350 334 5.60      
29 A 252 241 6.84      
30 A 72 69 0.29      

Unscaled Zero Point Vibrational Energy (zpe) 21852.3 cm-1
Scaled (by 0.9548) Zero Point Vibrational Energy (zpe) 20864.6 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 HSEh1PBE/6-31+G**
ABC
0.29845 0.12063 0.08732

See section I.F.4 to change rotational constant units
Geometric Data calculated at HSEh1PBE/6-31+G**

Point Group is C1

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 2.081 -0.034 0.002
H2 2.468 0.145 1.008
H3 2.456 -0.992 -0.350
H4 2.460 0.755 -0.656
N5 -0.169 1.025 -0.002
H6 0.146 1.956 -0.002
C7 0.611 -0.056 -0.001
N8 -0.135 -1.131 -0.002
C9 -1.402 -0.723 0.002
H10 -2.233 -1.362 0.002
C11 -1.439 0.641 0.001
H12 -2.275 1.271 0.003

Atom - Atom Distances (Å)
  C1 H2 H3 H4 N5 H6 C7 N8 C9 H10 C11 H12
C11.09341.08791.09462.48642.77531.47042.47313.55044.51393.58374.5474
H21.09341.77211.77282.95773.11292.12343.07064.09205.03844.06484.9777
H31.08791.77211.77423.32843.76142.09812.61803.88294.71624.23745.2562
H41.09461.77281.77422.72232.68752.12273.27404.18665.19013.95504.8083
N52.48642.95773.32842.72230.98341.33262.15542.13823.15541.32642.1206
H62.77533.11293.76142.68750.98342.06503.09953.09374.08302.05962.5164
C71.47042.12342.09812.12271.33262.06501.30832.12023.12942.16463.1765
N82.47313.07062.61803.27402.15543.09951.30831.33062.11022.19903.2165
C93.55044.09203.88294.18662.13823.09372.12021.33061.04881.36352.1763
H104.51395.03844.71625.19013.15544.08303.12942.11021.04882.15462.6336
C113.58374.06484.23743.95501.32642.05962.16462.19901.36352.15461.0475
H124.54744.97775.25624.80832.12062.51643.17653.21652.17632.63361.0475

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 124.943 C1 C7 N8 125.653
H2 C1 H3 108.667 H2 C1 H4 108.237
H2 C1 C7 110.977 H3 C1 H4 108.767
H3 C1 C7 109.287 H4 C1 C7 110.848
N5 C7 N8 109.404 N5 C11 C9 105.281
N5 C11 H12 126.176 H6 N5 C7 125.489
H6 N5 C11 125.519 C7 N5 C11 108.992
C7 N8 C9 106.913 N8 C9 H10 124.539
N8 C9 C11 109.409 C9 C11 H12 128.543
H10 C9 C11 126.052
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HSEh1PBE/6-31+G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.825      
2 H 0.180      
3 H 0.208      
4 H 0.180      
5 N -0.374      
6 H 0.319      
7 C 0.412      
8 N -0.283      
9 C -0.052      
10 H 0.151      
11 C -0.082      
12 H 0.167      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.598 3.710 -0.002 3.758
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -30.722 0.668 -0.001
y 0.668 -34.497 -0.006
z -0.001 -0.006 -38.507
Traceless
 xyz
x 5.780 0.668 -0.001
y 0.668 0.118 -0.006
z -0.001 -0.006 -5.898
Polar
3z2-r2-11.796
x2-y23.775
xy0.668
xz-0.001
yz-0.006


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 10.723 -0.018 0.000
y -0.018 9.107 0.000
z 0.000 0.000 5.956


<r2> (average value of r2) Å2
<r2> 138.835
(<r2>)1/2 11.783