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

using model chemistry: HF/cc-pVDZ

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/cc-pVDZ
 hartrees
Energy at 0K-263.882117
Energy at 298.15K-263.890208
Nuclear repulsion energy226.562927
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/cc-pVDZ
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 3901 3542 85.45      
2 A 3445 3128 4.36      
3 A 3412 3098 7.38      
4 A 3310 3006 6.52      
5 A 3244 2945 26.53      
6 A 3183 2890 34.70      
7 A 1771 1608 60.77      
8 A 1669 1516 8.57      
9 A 1625 1475 22.75      
10 A 1581 1436 7.42      
11 A 1564 1420 32.46      
12 A 1531 1390 0.32      
13 A 1496 1358 3.10      
14 A 1367 1241 15.19      
15 A 1254 1139 11.88      
16 A 1225 1113 0.24      
17 A 1166 1059 35.07      
18 A 1152 1046 1.50      
19 A 1090 990 10.13      
20 A 1045 949 5.22      
21 A 1001 909 2.23      
22 A 981 891 4.84      
23 A 826 750 49.31      
24 A 755 685 8.97      
25 A 722 656 1.55      
26 A 691 628 7.85      
27 A 517 469 86.93      
28 A 373 338 5.39      
29 A 280 254 9.18      
30 A 94 85 0.14      

Unscaled Zero Point Vibrational Energy (zpe) 23134.7 cm-1
Scaled (by 0.908) Zero Point Vibrational Energy (zpe) 21006.3 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/cc-pVDZ
ABC
0.30361 0.12145 0.08818

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

Point Group is C1

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 2.101 -0.025 0.000
H2 2.481 0.492 0.884
H3 2.481 -1.043 -0.001
H4 2.481 0.492 -0.884
N5 -0.163 1.042 0.000
H6 0.163 1.984 -0.002
C7 0.608 -0.072 0.000
N8 -0.114 -1.145 -0.000
C9 -1.421 -0.720 -0.000
H10 -2.241 -1.418 0.000
C11 -1.476 0.631 -0.000
H12 -2.299 1.323 0.000

Atom - Atom Distances (Å)
  C1 H2 H3 H4 N5 H6 C7 N8 C9 H10 C11 H12
C11.09241.08691.09252.50302.79111.49412.48203.58944.55973.63684.6023
H21.09241.77161.76842.84192.89582.14683.19294.17995.16944.05724.9322
H31.08691.77161.77163.36763.81252.11032.59673.91494.73654.29685.3341
H41.09251.76841.77162.84182.89412.14683.19324.18005.16964.05704.9320
N52.50302.84193.36762.84180.99601.35462.18832.16463.22011.37592.1547
H62.79112.89583.81252.89410.99602.10273.14123.13274.16492.12492.5492
C71.49412.14682.11032.14681.35462.10271.29372.12923.15052.19913.2244
N82.48203.19292.59673.19322.18833.14121.29371.37442.14442.23883.2972
C93.58944.17993.91494.18002.16463.13272.12921.37441.07721.35192.2239
H104.55975.16944.73655.16963.22014.16493.15052.14441.07722.18702.7418
C113.63684.05724.29684.05701.37592.12492.19912.23881.35192.18701.0756
H124.60234.93225.33414.93202.15472.54923.22443.29722.22392.74181.0756

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 122.892 C1 C7 N8 125.681
H2 C1 H3 108.766 H2 C1 H4 108.073
H2 C1 C7 111.251 H3 C1 H4 108.763
H3 C1 C7 108.674 H4 C1 C7 111.253
N5 C7 N8 111.427 N5 C11 C9 105.031
N5 C11 H12 122.557 H6 N5 C7 126.220
H6 N5 C11 126.486 C7 N5 C11 107.293
C7 N8 C9 105.844 N8 C9 H10 121.542
N8 C9 C11 110.405 C9 C11 H12 132.411
H10 C9 C11 128.053
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HF/cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.038 -0.188    
2 H 0.048 0.045    
3 H 0.067 0.083    
4 H 0.048 0.045    
5 N -0.247 -0.253    
6 H 0.113 0.296    
7 C 0.152 0.459    
8 N -0.361 -0.588    
9 C 0.041 0.151    
10 H 0.019 0.086    
11 C 0.047 -0.329    
12 H 0.037 0.191    


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.622 3.608 -0.003 3.662
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -30.670 0.620 -0.001
y 0.620 -34.143 -0.008
z -0.001 -0.008 -38.079
Traceless
 xyz
x 5.441 0.620 -0.001
y 0.620 0.231 -0.008
z -0.001 -0.008 -5.672
Polar
3z2-r2-11.344
x2-y23.473
xy0.620
xz-0.001
yz-0.008


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 9.251 0.123 -0.000
y 0.123 7.809 -0.000
z -0.000 -0.000 4.317


<r2> (average value of r2) Å2
<r2> 137.533
(<r2>)1/2 11.727