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

using model chemistry: HSEh1PBE/6-31G*

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/6-31G*
 hartrees
Energy at 0K-265.251559
Energy at 298.15K-265.259334
Nuclear repulsion energy225.412862
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/6-31G*
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 3688 3508 44.39      
2 A 3319 3156 3.43      
3 A 3286 3125 7.23      
4 A 3194 3037 3.12      
5 A 3126 2973 17.77      
6 A 3067 2917 30.66      
7 A 1634 1554 39.85      
8 A 1555 1478 4.58      
9 A 1528 1453 2.97      
10 A 1511 1437 8.86      
11 A 1476 1403 42.34      
12 A 1445 1375 0.37      
13 A 1421 1352 1.09      
14 A 1302 1238 14.77      
15 A 1218 1159 2.55      
16 A 1154 1097 5.00      
17 A 1124 1069 27.27      
18 A 1072 1020 2.31      
19 A 1020 970 8.36      
20 A 981 933 1.04      
21 A 932 887 3.06      
22 A 861 819 10.47      
23 A 730 694 37.30      
24 A 696 662 5.87      
25 A 689 656 1.27      
26 A 650 618 16.72      
27 A 524 498 79.74      
28 A 347 330 5.30      
29 A 254 241 6.15      
30 A 87 82 0.22      

Unscaled Zero Point Vibrational Energy (zpe) 21945.2 cm-1
Scaled (by 0.951) Zero Point Vibrational Energy (zpe) 20869.9 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/6-31G*
ABC
0.29842 0.12079 0.08740

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

Point Group is C1

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 2.080 -0.032 0.002
H2 2.470 0.147 1.008
H3 2.455 -0.991 -0.350
H4 2.459 0.757 -0.657
N5 -0.170 1.025 -0.002
H6 0.144 1.956 -0.002
C7 0.609 -0.056 -0.001
N8 -0.134 -1.132 -0.002
C9 -1.400 -0.722 0.002
H10 -2.230 -1.363 0.002
C11 -1.439 0.640 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
C11.09401.08821.09512.48612.77531.47082.47223.54744.51123.58234.5459
H21.09401.77221.77262.95933.11442.12593.07194.09155.03824.06594.9785
H31.08821.77221.77473.32833.76172.09842.61653.88014.71334.23625.2551
H41.09511.77261.77472.72282.68822.12423.27404.18455.18833.95454.8074
N52.48612.95933.32832.72280.98361.33262.15642.13623.15381.32552.1193
H62.77533.11443.76172.68820.98362.06573.10063.09194.08172.05902.5148
C71.47082.12592.09842.12421.33262.06571.30752.11663.12612.16313.1750
N82.47223.07192.61653.27402.15643.10061.30751.32992.10872.19983.2177
C93.54744.09153.88014.18452.13623.09192.11661.32991.04921.36272.1767
H104.51125.03824.71335.18833.15384.08173.12612.10871.04922.15402.6344
C113.58234.06594.23623.95451.32552.05902.16312.19981.36272.15401.0476
H124.54594.97855.25514.80742.11932.51483.17503.21772.17672.63441.0476

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 124.872 C1 C7 N8 125.601
H2 C1 H3 108.613 H2 C1 H4 108.141
H2 C1 C7 111.115 H3 C1 H4 108.749
H3 C1 C7 109.254 H4 C1 C7 110.905
N5 C7 N8 109.527 N5 C11 C9 105.232
N5 C11 H12 126.109 H6 N5 C7 125.546
H6 N5 C11 125.522 C7 N5 C11 108.932
C7 N8 C9 106.746 N8 C9 H10 124.418
N8 C9 C11 109.562 C9 C11 H12 128.659
H10 C9 C11 126.019
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HSEh1PBE/6-31G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.601      
2 H 0.186      
3 H 0.219      
4 H 0.186      
5 N -0.624      
6 H 0.353      
7 C 0.484      
8 N -0.474      
9 C -0.066      
10 H 0.164      
11 C -0.008      
12 H 0.181      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -0.499 3.601 0.002 3.636
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -30.148 -0.519 0.001
y -0.519 -33.296 0.005
z 0.001 0.005 -37.334
Traceless
 xyz
x 5.167 -0.519 0.001
y -0.519 0.445 0.005
z 0.001 0.005 -5.612
Polar
3z2-r2-11.224
x2-y23.148
xy-0.519
xz0.001
yz0.005


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 9.754 -0.126 -0.000
y -0.126 7.876 0.000
z -0.000 0.000 4.049


<r2> (average value of r2) Å2
<r2> 138.133
(<r2>)1/2 11.753