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

using model chemistry: HSEh1PBE/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 HSEh1PBE/cc-pVTZ
 hartrees
Energy at 0K-265.345223
Energy at 298.15K-265.353054
HF Energy-265.345223
Nuclear repulsion energy226.092483
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/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 3689 3545 48.62      
2 A 3289 3161 2.21      
3 A 3257 3131 5.21      
4 A 3165 3042 2.66      
5 A 3099 2979 15.04      
6 A 3045 2927 28.60      
7 A 1617 1554 40.91      
8 A 1536 1476 4.38      
9 A 1504 1446 6.58      
10 A 1478 1421 7.69      
11 A 1450 1393 36.80      
12 A 1422 1367 0.23      
13 A 1396 1342 0.81      
14 A 1288 1238 13.80      
15 A 1202 1155 3.39      
16 A 1145 1100 3.84      
17 A 1110 1067 28.53      
18 A 1060 1019 1.27      
19 A 1012 973 8.49      
20 A 971 934 1.64      
21 A 934 898 2.91      
22 A 881 846 8.17      
23 A 741 713 48.47      
24 A 701 674 5.05      
25 A 688 662 0.93      
26 A 652 627 10.92      
27 A 541 520 66.20      
28 A 348 335 5.24      
29 A 256 246 5.94      
30 A 79 76 0.25      

Unscaled Zero Point Vibrational Energy (zpe) 21780.0 cm-1
Scaled (by 0.9611) Zero Point Vibrational Energy (zpe) 20932.7 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 HSEh1PBE/cc-pVTZ
ABC
0.30090 0.12136 0.08790

See section I.F.4 to change rotational constant units
Geometric Data calculated at HSEh1PBE/cc-pVTZ

Point Group is C1

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 2.081 -0.032 0.002
H2 2.469 0.147 1.006
H3 2.456 -0.989 -0.349
H4 2.459 0.756 -0.655
N5 -0.170 1.022 -0.002
H6 0.145 1.954 -0.002
C7 0.611 -0.057 -0.001
N8 -0.134 -1.130 -0.002
C9 -1.401 -0.721 0.002
H10 -2.231 -1.363 0.002
C11 -1.440 0.639 0.001
H12 -2.276 1.272 0.003

Atom - Atom Distances (Å)
  C1 H2 H3 H4 N5 H6 C7 N8 C9 H10 C11 H12
C11.09201.08601.09302.48532.77321.46982.47193.54874.51253.58384.5472
H21.09201.76881.76922.95703.11112.12293.06964.09085.03754.06544.9779
H31.08601.76881.77113.32583.75782.09622.61713.88164.71504.23685.2557
H41.09301.76921.77112.72212.68642.12193.27184.18435.18823.95534.8079
N52.48532.95703.32582.72210.98351.33192.15212.13413.15251.32622.1204
H62.77323.11113.75782.68640.98352.06393.09613.08974.08032.05902.5149
C71.46982.12292.09622.12191.33192.06391.30642.11853.12802.16573.1777
N82.47193.06962.61713.27182.15213.09611.30641.33052.10982.19863.2175
C93.54874.09083.88164.18432.13413.08972.11851.33051.04961.36132.1769
H104.51255.03754.71505.18823.15254.08033.12802.10981.04962.15332.6355
C113.58384.06544.23683.95531.32622.05902.16572.19861.36132.15331.0482
H124.54724.97795.25574.80792.12042.51493.17773.21752.17692.63551.0482

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 124.944 C1 C7 N8 125.743
H2 C1 H3 108.605 H2 C1 H4 108.136
H2 C1 C7 111.074 H3 C1 H4 108.747
H3 C1 C7 109.287 H4 C1 C7 110.929
N5 C7 N8 109.313 N5 C11 C9 105.128
N5 C11 H12 126.108 H6 N5 C7 125.413
H6 N5 C11 125.462 C7 N5 C11 109.124
C7 N8 C9 106.916 N8 C9 H10 124.434
N8 C9 C11 109.518 C9 C11 H12 128.764
H10 C9 C11 126.048
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HSEh1PBE/cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.291      
2 H 0.101      
3 H 0.122      
4 H 0.101      
5 N -0.058      
6 H 0.153      
7 C 0.100      
8 N -0.214      
9 C -0.104      
10 H 0.120      
11 C -0.158      
12 H 0.127      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.592 3.535 -0.003 3.585
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -30.800 0.573 -0.001
y 0.573 -33.978 -0.008
z -0.001 -0.008 -37.765
Traceless
 xyz
x 5.072 0.573 -0.001
y 0.573 0.305 -0.008
z -0.001 -0.008 -5.376
Polar
3z2-r2-10.753
x2-y23.178
xy0.573
xz-0.001
yz-0.008


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 10.831 0.037 -0.000
y 0.037 8.741 -0.000
z -0.000 -0.000 5.456


<r2> (average value of r2) Å2
<r2> 137.826
(<r2>)1/2 11.740