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

using model chemistry: wB97X-D/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 wB97X-D/aug-cc-pVTZ
 hartrees
Energy at 0K-265.547114
Energy at 298.15K-265.554903
HF Energy-265.547114
Nuclear repulsion energy226.014631
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 wB97X-D/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 3700 3540 53.38      
2 A 3300 3157 1.93      
3 A 3270 3128 4.66      
4 A 3172 3034 3.42      
5 A 3118 2983 14.48      
6 A 3060 2927 26.17      
7 A 1624 1553 41.53      
8 A 1543 1476 8.02      
9 A 1516 1450 7.11      
10 A 1488 1423 7.85      
11 A 1462 1398 43.38      
12 A 1426 1364 0.07      
13 A 1402 1342 1.11      
14 A 1288 1232 13.88      
15 A 1198 1146 4.53      
16 A 1148 1098 3.43      
17 A 1111 1063 28.44      
18 A 1073 1027 1.01      
19 A 1015 971 7.67      
20 A 976 934 2.66      
21 A 935 894 2.07      
22 A 908 869 7.11      
23 A 765 732 57.55      
24 A 705 674 3.00      
25 A 686 657 0.69      
26 A 653 624 10.11      
27 A 552 528 71.37      
28 A 349 334 5.47      
29 A 258 247 6.21      
30 A 39 38 0.55      

Unscaled Zero Point Vibrational Energy (zpe) 21869.7 cm-1
Scaled (by 0.9566) Zero Point Vibrational Energy (zpe) 20920.6 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 wB97X-D/aug-cc-pVTZ
ABC
0.30126 0.12109 0.08779

See section I.F.4 to change rotational constant units
Geometric Data calculated at wB97X-D/aug-cc-pVTZ

Point Group is C1

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 2.103 -0.025 0.000
H2 2.489 0.486 0.884
H3 2.479 -1.044 -0.001
H4 2.489 0.487 -0.883
N5 -0.165 1.042 -0.000
H6 0.160 1.990 -0.001
C7 0.617 -0.069 -0.000
N8 -0.121 -1.151 -0.000
C9 -1.423 -0.721 -0.000
H10 -2.245 -1.417 -0.000
C11 -1.477 0.637 0.000
H12 -2.293 1.334 0.000

Atom - Atom Distances (Å)
  C1 H2 H3 H4 N5 H6 C7 N8 C9 H10 C11 H12
C11.09091.08661.09092.50602.79851.48652.49343.59484.56543.64034.6018
H21.09091.76731.76662.85162.90972.14273.20504.18845.17754.06554.9366
H31.08661.76731.76733.36733.81832.10132.60213.91564.73824.29765.3321
H41.09091.76661.76732.85102.90812.14273.20564.18875.17804.06534.9363
N52.50602.85163.36732.85101.00221.35852.19302.16593.22011.37292.1487
H62.79852.90973.81832.90811.00222.10893.15323.13944.16972.12362.5396
C71.48652.14272.10132.14271.35852.10891.31002.14253.16352.20973.2315
N82.49343.20502.60213.20562.19303.15321.31001.37142.14012.24343.3009
C93.59484.18843.91564.18872.16593.13942.14251.37141.07631.35872.2320
H104.56545.17754.73825.17803.22014.16973.16352.14011.07632.19222.7514
C113.64034.06554.29764.06531.37292.12362.20972.24341.35872.19221.0743
H124.60184.93665.33214.93632.14872.53963.23153.30092.23202.75141.0743

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 123.434 C1 C7 N8 126.041
H2 C1 H3 108.505 H2 C1 H4 108.133
H2 C1 C7 111.555 H3 C1 H4 108.505
H3 C1 C7 108.499 H4 C1 C7 111.556
N5 C7 N8 110.525 N5 C11 C9 104.915
N5 C11 H12 122.337 H6 N5 C7 125.924
H6 N5 C11 126.079 C7 N5 C11 107.998
C7 N8 C9 106.050 N8 C9 H10 121.469
N8 C9 C11 110.512 C9 C11 H12 132.748
H10 C9 C11 128.018
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at wB97X-D/aug-cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.618      
2 H 0.262      
3 H 0.267      
4 H 0.262      
5 N 0.026      
6 H -0.036      
7 C 0.098      
8 N -0.455      
9 C -0.273      
10 H 0.466      
11 C -0.477      
12 H 0.478      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.622 3.611 -0.000 3.665
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -30.733 0.629 0.001
y 0.629 -34.402 -0.001
z 0.001 -0.001 -37.950
Traceless
 xyz
x 5.443 0.629 0.001
y 0.629 -0.060 -0.001
z 0.001 -0.001 -5.383
Polar
3z2-r2-10.765
x2-y23.669
xy0.629
xz0.001
yz-0.001


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 11.308 -0.018 0.000
y -0.018 9.453 -0.000
z 0.000 -0.000 6.452


<r2> (average value of r2) Å2
<r2> 138.050
(<r2>)1/2 11.749